Main5.3, C# - rextester

Main5.3

Language: Layout:

//Rextester.Program.Main is the entry point for your code. Don't change it.
//Compiler version 4.0.30319.17929 for Microsoft (R) .NET Framework 4.5

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text.RegularExpressions;
using ShuffleExtension;
using System.Threading;
using System.Data;

namespace Rextester
{

public class Program {
        
        public int ratio1;
        public int ratio2;
        public int ratio3;
        public int num1, num2, num3;
        
        public static void Main(String[] args){
            //makeDivQ(500,999,10,99);
            //addLineBreak(30,2108);
            //makeDivQ(1000,9999,1,9);
            //makeDivQ(10,99,5,9);
            //keAlgebra();
            //makeSubQ2by2(10,100,10,100);
            //makeFracQ();
            //makeDivQ(10,99,2,9);
            //makeDeciQ();
            //addSub3Q();
            //makeMultQ(2,10,2,10);
            /*
            for (int i =1; i<100; i++) {
                
                //int a = Rand.Next(1,100);
                //int e = Rand.Next(-3,4);
                //Console.WriteLine("    \\task {0}^{{{1}}}=",a,e);
                //Console.WriteLine("    \\task \\sqrt{{{0}}}=",a*a);
                Console.WriteLine("    \\task \\mathmakebox[1cm][r]{{{0}:}} \\underline{{\\hspace{{8cm}}}}",i);
            }*/
            
            
        }
        
        
        public static int Tens(){
         
            int rand = Rand.Next(0,2);
            
            if (rand==0) {
                
                return 10;
                
            }
            
            else 
                
                return 100;
               
        }
        
         public static void addSub3Q() {
            
             string title = "Addition \\& Subtraction (3 term) (2)";
             List<string> addsubQ = new List<string>();
             DataTable dt = new DataTable();
             int n1, n2, n3;
             
             for (int k=0; k<9000; k++){
                 int[] n = new int[3];
                 
                 n[0] = Rand.Next(101,1000);
                 n[1] = Rand.Next(11,1000);
                 n[2] = Rand.Next(11,1000);
                 int[] op = new int[2];
                 op[0] = Rand.Next(0,2);
                 op[1] = Rand.Next(0,2);
                 string[] operand = new string[2];
                 operand[0] = "+";
                 operand[1] = "-";
                 int result;
                 if (n[0]-n[1]>=0&& (n[0]-n[1])-n[2]>=0 && (n[0]+n[1]+n[2]<1000) && addsubQ.Count()<300){
                     
                     result = Convert.ToInt32(dt.Compute(n[0]+operand[op[0]]+n[1]+operand[op[1]]+n[2], null));
                     addsubQ.Add("        \\item \\(\\mathmakebox[3.0cm][r]{"+n[0]+operand[op[0]]+n[1]+operand[op[1]]+n[2]+"}=\\underline{\\hspace{2cm}}\\)");
                     //Console.WriteLine(result);
                 }
                
             }
             
             //Console.WriteLine(addsubQ.Count());
             //addsubQ.Shuffle();
             PrintArithmetic(addsubQ, title);
         
         }

public static void addSubQ() {
            
            string title = "Addition \\& Subtraction (1)";
            List<string> addQ = new List<string>();
            for (int k=0; k<2; k++){
                    
                for (int i=10; i<=99; i++){
                                
                    for (int j=10; j<=99; j++){
                                   
                        if (i+j<100) addQ.Add("        \\item \\(\\mathmakebox[1.5cm][r]{"+i+"+"+j+"}=\\underline{\\hspace{2cm}}\\)"); //\\mathmakebox[1.45cm][r]{  
                    }   
                }   
            }
            
            List<string> subQ = new List<string>();
            for (int k=0; k<2; k++){
                
                for (int i=10; i<=99; i++){

for (int j=2; j<=99; j++){
                        
                        if (i>j && i%10>j%10){subQ.Add("        \\item \\(\\mathmakebox[1.5cm][r]{"+i+"-"+j+"}=\\underline{\\hspace{2cm}}\\)");}
                        
                    }
        
                }
            }
            
            List<string> questions = new List<string>();
            //Console.WriteLine(addQ.Count());
            //Console.WriteLine(subQ.Count());
            addQ.Shuffle();
            subQ.Shuffle();
            questions.AddRange(addQ);
            questions.AddRange(subQ);
            questions.Shuffle();
            //PrintArithmetic(questions, title);
            
        }
        
        public static void multDivQ() {
            
            string title = "Multplication \\& Division (1)";
            List<string> multQ = new List<string>();
            DataTable dt = new DataTable();
            for (int k=0; k<4; k++){
                    
                for (int i=2; i<=9; i++){
                                
                    for (int j=2; j<=9; j++){
                                   
                        if (multQ.Count()<200) multQ.Add("        \\item \\(\\mathmakebox[1.45cm][r]{"+i+"\\times"+j+"}=\\underline{\\hspace{2cm}}\\)"); //\\mathmakebox[1.45cm][r]{  
                    }   
                }   
            }
            
            List<string> divQ = new List<string>();
            for (int k=0; k<4; k++){
                
                for (int i=10; i<=100; i++){

for (int j=2; j<=9; j++){
                        
                        if (divQ.Count()<200 && i>j && i%j==0 &&i/j<10){divQ.Add("        \\item \\(\\mathmakebox[1.45cm][r]{"+i+"\\div"+j+"}=\\underline{\\hspace{2cm}}\\)");}
                        
                    }
        
                }
            }
            
            List<string> questions = new List<string>();
            //Console.WriteLine(multQ.Count());
            //Console.WriteLine(divQ.Count());
            
            questions.AddRange(multQ);
            questions.AddRange(divQ);
            questions.Shuffle();
            PrintArithmetic(questions, title);
            
        }

public static void makeMultQ(int lower1, int upper1, int lower2, int upper2) {
            
            string title = "Multplication  (1)";
            List<string> questions = new List<string>();
            for (int k=0; k<12; k++){
                    
                for (int i=lower1; i<=upper1; i++){
                                
                    for (int j=lower2; j<=upper2; j++){
                                   
                        questions.Add("        \\item \\("+i+"\\times"+j+"=\\underline{\\hspace{2cm}}\\)"); //\\mathmakebox[1.45cm][r]{  
                    }   
                }   
            }
            
            questions.Shuffle();
            
            PrintArithmetic(questions, title);
            
        }
        
		public static void makeMultQ3by1() {
            
            string title = "Multplication (3 by 1 Digits)";
            List<string> questions = new List<string>();
            for (int k=0; k<300; k++){
            
			int i = Rand.Next(101,1000);
			int j = Rand.Next(11,100);
			i = Rand.Next(101,1000);
			i = Rand.Next(101,1000);
			j = Rand.Next(2,10);
			j = Rand.Next(2,10);
				questions.Add("        \\item \\("+i+"\\times"+j+"=\\underline{\\hspace{2cm}}\\)"); //\\mathmakebox[1.45cm][r]{  
            
            }
            
            questions.Shuffle();
            
            PrintArithmetic(questions, title);
            //Console.WriteLine(questions.Count());
        }
		
        public static void makeDivQ(int lower1, int upper1, int lower2, int upper2) {
            
            string title = "Division (2 by 1 digits) General";
            List<string> questions = new List<string>();
            for (int k=0; k<4; k++){
                
                for (int i=lower1; i<=upper1; i++){

for (int j=lower2; j<=upper2; j++){
                        
                        if (i>j){questions.Add("        \\item \\(\\mathmakebox[1.45cm][r]{"+i+"\\div"+j+"}=\\underline{\\hspace{2cm}}\\)");}
                        
                    }
        
                }
            }
            questions.Shuffle();
            
            PrintArithmetic(questions, title);
            
        }
        
        public static void makeDeciQ(){
            
            string title = "Decimal Arithmetic General";
            // Division
            List<string> divQ = new List<string>();
            for (int i=0; i<6500; i++) {
                int tens = Tens();
                double argument = Math.Truncate(Rand.NextD(1.0,99.99)*tens)/tens;
                
                decimal num1 = Rand.Next(2,100);
                int dividend = Rand.Next(2,1000);
                decimal result = dividend/num1;
                int count = BitConverter.GetBytes(decimal.GetBits(result)[3])[2];
                
                //Console.WriteLine(count);
                if(count<4 && divQ.Count()<120) {
                    //Console.WriteLine("{0}/{1}={2}", dividend,num1, dividend/num1);
                    divQ.Add("        \\item \\(\\mathmakebox[3cm][r]{"+dividend+"\\div"+num1+"}=\\underline{\\hspace{2cm}}\\)");
                }
                
                
            }
            
            //Multiplication
            List<string> multQ = new List<string>();
            
            for (int i=0; i<120; i++) {
                double number = Rand.NextD(1.0,99.99);
                int hund;
                double num1;
                if (number>=10) {
                    num1 = Math.Truncate(number*10)/10;
                    hund = 10;
                }
                
                else {
                    num1 = Math.Truncate(number*100)/100;
                    hund = 10;
                }
                
                double num2 = Math.Truncate(Rand.NextD(2,hund)*hund)/hund;
                double result = num1*num2;
                if ( (Math.Floor(num1)!=num1 || Math.Floor(num2)!=num2) && multQ.Count()<120) {
                    multQ.Add("        \\item \\(\\mathmakebox[3cm][r]{"+num1+"\\times"+num2+"}=\\underline{\\hspace{2cm}}\\)");
                }
            }
            
            //Add
            List<string> addQ = new List<string>();
            
            for (int i=0; i<120; i++) {
                double number = Rand.NextD(1.0,99.99);
                int hund = Tens();
                double num1;
                if (number>=10) {
                    num1 = Math.Truncate(number*10)/10;
                    //hund = 100;
                }
                
                else {
                    num1 = Math.Truncate(number*100)/100;
                    //hund = 10;
                }
                
                double num2 = Math.Truncate(Rand.NextD(2,hund)*hund)/hund;
                double result = num1+num2;
                addQ.Add("        \\item \\(\\mathmakebox[3cm][r]{"+num1+"+"+num2+"}=\\underline{\\hspace{2cm}}\\)");
            }
            
            //Subtract
            List<string> subQ = new List<string>();
            
            for (int i=0; i<300; i++) {
                double number = Rand.NextD(1.0,99.99);
                int hund = Tens();
                double num1;
                if (number>=10) {
                    num1 = Math.Truncate(number*10)/10;
                    //hund = 100;
                }
                
                else {
                    num1 = Math.Truncate(number*100)/100;
                    //hund = 10;
                }
                
                double num2 = Math.Truncate(Rand.NextD(2,hund)*hund)/hund;
                if(num1>num2) {
                    double result = num1-num2;
                    subQ.Add("        \\item \\(\\mathmakebox[3cm][r]{"+num1+"+"+num2+"}=\\underline{\\hspace{2cm}}\\)");
                }
                
            }
            List<string> questions = new List<string>();
            questions.AddRange(addQ);
            questions.AddRange(subQ);
            questions.AddRange(multQ);
            questions.AddRange(divQ);
            
            questions.Shuffle();
            PrintArithmetic(questions,title);
        }
              
        /*public static void makeDeciQ(double upper1) {
            
            string title = "Division (2 by 1 digits) General";
            List<string> addquestions = new List<string>();
            List<string> subquestions = new List<string>();
            List<string> multquestions = new List<string>();
            List<string> divquestions = new List<string>();
            string[] op = new string[4] {"+", "-", "\\times", "\\div"};

for (int i=1; i<=upper1; i++){
                
                int operand = Rand.Next(1,4);
                double[] num = new double[2] {Math.Truncate(Rand.NextD(1.0,99.99)*100)/100, Rand.Next(2,999)};
                
                decimal num1 = Convert.ToDecimal(num[1]));
                //if (operand==2){questions.Add("        \\item \\(\\mathmakebox[1.45cm][r]{"+num[0]+op[operand]+num[1]+"}=\\underline{\\hspace{2cm}}\\)");}
                    
                
                if (operand==4 && num[2]%num1==0){questions.Add("        \\item \\(\\mathmakebox[1.45cm][r]{"+num[0]+op[operand]+num[1]+"}=\\underline{\\hspace{2cm}}\\)");}
                    
                //else if (operand==1) {questions.Add("        \\item \\(\\mathmakebox[1.45cm][r]{"+num[0]+op[operand]+num[1]+"}=\\underline{\\hspace{2cm}}\\)");}
                //else if (operand==3) {questions.Add("        \\item \\(\\mathmakebox[1.45cm][r]{"+num[0]+op[operand]+num[1]+"}=\\underline{\\hspace{2cm}}\\)");}
            }
            
            //questions.Shuffle();
            
            //PrintArithmetic(questions, title);
            
        }*/
                                    
        public static void makeSubQ2by2(int lower1, int upper1, int lower2, int upper2){
            
			string title = "Subtraction (2 by 2 Digits)";
            string[] latex = new string[] {"\\fontsize{12pt}{16pt}\\selectfont", "        \\setlength\\itemsep{2em}"};
            
            string[] op = new string[2] {"(", ")("};
            string end =")=\\)";
            
            List<string> questions = new List<string>();
            
            for (int i=lower1; i<=upper1; i++){
            //for (int i=10; i<100;i++){
                
                for (int j=lower2; j<=upper2; j++){
                //for (int j=10; j<100;j++){   
                   
                    if (i!=j && i+j<100){questions.Add("        \\item \\(\\mathmakebox[1.45cm][r]{"+i+"-"+j+"}=\\underline{\\hspace{2cm}}\\)");}
                   /*if (i>j) {
                       
                       questions.Add("        \\item \\("+i+"-"+j+"=\\)");
                       
                   }*/
                   
                }
                
            }
            questions.Shuffle();
            
            //Console.WriteLine(questions.Count());
            
            PrintArithmetic(questions, title);
            /*for (int i=0; i<questions.Count(); i++){
                
                if(i==0){

Console.WriteLine("\\begin{figure}[ht!]");
                    Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                    Console.WriteLine("\\end{figure}");
                    Console.WriteLine();
                    Console.WriteLine("\\vspace{-15mm}\\begingroup");
                    Console.WriteLine("\\centering");
                    Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                    //Console.WriteLine("\\large Promatics Education Centre\\\\[1.5em]");
                    Console.WriteLine("\\endgroup");
                    Console.WriteLine();
                    Console.WriteLine(latex[0]);
                    Console.WriteLine("\\textbf{Exercise "+(i/30+1)+". "+exerciseTitle+".}\\\\");
                    Console.WriteLine("\\begin{multicols}{2}");
                    Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                    Console.WriteLine(latex[1]);

}
                Console.WriteLine(questions[i]);
               
                if (i!=0 && (i+1)%30==0){
                  
                    
                    Console.WriteLine("\\end{enumerate}");
                    Console.WriteLine("\\end{multicols}");
                    Console.WriteLine();
                    Console.WriteLine("\\pagebreak[4]");
                    Console.WriteLine();
                    Console.WriteLine("\\begin{figure}[ht!]");
                    Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                    Console.WriteLine("\\end{figure}");
                    Console.WriteLine();
                    Console.WriteLine("\\vspace{-15mm}\\begingroup");
                    Console.WriteLine("\\centering");
                    Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                    //Console.WriteLine("\\large Promatics Education Centre\\\\[1.5em]");
                    Console.WriteLine("\\endgroup");
                    Console.WriteLine();
                    Console.WriteLine(latex[0]);
                    Console.WriteLine("\\textbf{Exercise "+((i+30)/30+1)+". "+exerciseTitle+".}\\\\");
                    Console.WriteLine("\\begin{multicols}{2}");
                    Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                    Console.WriteLine(latex[1]);
                }
            }*/
        }
        
        public static void makeAlg(){
            
            int[] n = new int[10];
            
            for (int j=0; j<50; j++) {
                for (int i =0; i<n.Length; i++){
                    n[i] = Rand.Next(1,10);
                }
                char[] op = new char[] {'+','-'};
                int x = Rand.Next(0,2);
                int y = Rand.Next(0,2);
                int z = Rand.Next(0,2);
                Console.WriteLine("\\(\\dfrac{{{7}(x{4}{0})}}{{{1}}}{6}\\dfrac{{{8}(x{5}{2})}}{{{3}}}=\\)\\\\",n[0],n[1],n[2],n[3],op[x],op[y],op[z],n[4],n[5]);
            }

}

public static void makeQ(int lower1, int upper1, int lower2, int upper2){
         
            for (int i=lower1; i<=upper1; i+=9){

for (int j=lower2; j<=upper2; j+=9){

Console.WriteLine("        \\item \\("+i+"\\operation"+j+"=\\)");                   
            
                }
              
            }

}
        
        public static void makeFracQ(){
        
            string title = "Algebra Simplification Introduction";
            string exerciseTitle = "Simplify the algebraic expressions";
            int m=0;
            int i_final=30000;
            int incre= 0;
            
            string[] latex = new string[] {"\\fontsize{12pt}{16pt}\\selectfont", "        \\setlength\\itemsep{2em}"};
            string mathbox = "\\mathmakebox[1.45cm][r]{";
            string[] op = new string[2] {"(", ")("};
            string end =")=\\)";
            
            List<string> questions = new List<string>();
            
            
            //for (int i=lower1; i<=upper1; i+=9){
            for (int i=1; i<100;i++){
                
                //for (int j=lower2; j<=upper2; j+=9){
                for (int j=10; j<100;j++){   
                    
                    int num1 = Rand.Next(1,10);
                    int num2 = Rand.Next(1,10);
                    int denom1 = Rand.Next(2,10);
                    int denom2 = Rand.Next(2,10);
                    int mixed1 = Rand.Next(0,10);
                    int mixed2 = Rand.Next(0,10);
                    
                    if (num1!=denom1 && num2!=denom1 && num1<denom1 && num2<denom1){questions.Add("        \\item \\("+mixed1+"\\dfrac{"+num1+"}{"+denom1+"}+"+mixed2+"\\dfrac{"+num2+"}{"+denom1+"}=\\underline{\\hspace{2cm}}\\)");}
                   /*if (i>j) {
                       
                       questions.Add("        \\item \\("+i+"-"+j+"=\\)");
                       
                   }*/
                   
                }
                
            }
            questions.Shuffle();
            
            //Console.WriteLine(questions.Count());
            
            for (int i=0; i<questions.Count(); i++){
                
                if(i==0){

}
                Console.WriteLine(questions[i]);
               
                if (i!=0 && (i+1)%30==0){
                  
                    
                    Console.WriteLine("\\end{enumerate}");
                    Console.WriteLine("\\end{multicols}");
                    Console.WriteLine();
                    Console.WriteLine("\\pagebreak[4]");
                    Console.WriteLine();
                    Console.WriteLine("\\begin{figure}[ht!]");
                    Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                    Console.WriteLine("\\end{figure}");
                    Console.WriteLine();
                    Console.WriteLine("\\vspace{-15mm}\\begingroup");
                    Console.WriteLine("\\centering");
                    Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                    //Console.WriteLine("\\large Promatics Education Centre\\\\[1.5em]");
                    Console.WriteLine("\\endgroup");
                    Console.WriteLine();
                    Console.WriteLine(latex[0]);
                    Console.WriteLine("\\textbf{Exercise "+((i+30)/30+1)+". "+exerciseTitle+".}\\\\");
                    Console.WriteLine("\\begin{multicols}{2}");
                    Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                    Console.WriteLine(latex[1]);
                }
            }
        }
   
        /*public static void makeDivQ(int lower1, int upper1, int lower2, int upper2){
            
            for (int i=lower1; i<=upper1; i++){
  
                for (int j=lower2; j<=upper2; j++){
                  
                    if (i%j==0) { 
                       
                        Console.WriteLine("\\("+i+"\\div"+j+"=\\)");

}
                    
                }
               
            }
             
        }*/

public static void makeAlgebra(){
        
            //string[] vari = new string[24] {"a","b","c","d","f","g","h","k","m","n","p","q","r","s","t","u","v","w","x","y","z","\\delta", "\\epsilon", "\\phi"};
            string[] vari = new string[21] {"a","b","c","ab","bc","ac","abc","x","y","z","xy","yz","xz","xyz","k","m","n","km","kn","mn","kmn"};
            //var[0] = "a";
            //var[1] = "b";
            //var[2] = "c";
            
            int n=-1; // n is the random number of variables per question
            int m=0;
            int i_final=30000;
            int incre= 0;
            string title = "Algebra Simplification Introduction";
            string exerciseTitle = "Simplify the algebraic expressions";
            string[] latex = new string[] {"\\fontsize{12pt}{16pt}\\selectfont", "        \\setlength\\itemsep{2em}"};
            
            string[] op = new string[4] {"+","-","(", ")("};
            int operand = Rand.Next(0,1);
            //string end =")=\\)";
            string end = "=\\)";
            for (int i=1; i<=i_final; i++) {

int num2=Rand.Next(0,7);  // range of number of different variables per question
                int num = Rand.Next(2,5); // range of number of total variables per question
                int consts=Rand.Next(-9,10); // range of coefficients of the variables
                while (true) {
                    consts=Rand.Next(-9,10);
                    if (consts==0) {
                        consts=Rand.Next(-9,10);
                    }
                    else break;
                }
                if(i==1){

Console.WriteLine("\\begin{figure}[ht!]");
                    Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                    Console.WriteLine("\\end{figure}");
                    Console.WriteLine();
                    Console.WriteLine("\\vspace{-15mm}\\begingroup");
                    Console.WriteLine("\\centering");
                    Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                    //Console.WriteLine("\\large Promatics Education Centre\\\\[1.5em]");
                    Console.WriteLine("\\endgroup");
                    Console.WriteLine();
                    Console.WriteLine(latex[0]);
                    Console.WriteLine("\\textbf{Exercise "+(m/30+1)+". "+exerciseTitle+".}\\\\");
                    Console.WriteLine("\\begin{multicols}{2}");
                    Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                    Console.WriteLine(latex[1]);

}

if (n==-1){ //first variable of each question
                    Console.Write("        \\item \\(");
                }
                
                if (n==0){
                Console.Write(consts+vari[num2+7*incre]+op[operand]);
                
                }
            
                else if (n>0 && n<num){
                    Console.Write(consts+vari[num2+7*incre]+op[operand]);
                }
                n++;                
                if (n==num){ 
                    m++;
                    Console.Write(consts+vari[num2+7*incre]);
                    Console.Write(end);
                    Console.WriteLine();
                    
                    if (m%30==0) {
                        incre=Rand.Next(0,3);
                        Console.WriteLine("\\end{enumerate}");
                        Console.WriteLine("\\end{multicols}");
                        Console.WriteLine();
                        Console.WriteLine("\\pagebreak[4]");
                        Console.WriteLine();
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        //Console.WriteLine("\\large Promatics Education Centre\\\\[1.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        Console.WriteLine(latex[0]);
                        Console.WriteLine("\\textbf{Exercise "+(m/30+1)+". "+exerciseTitle+".}\\\\");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
                    }
                    
                    Console.Write("        \\item \\(");
                    n=0;
                }
                
                else if (n>num){
                    m++;
                    Console.Write(consts+vari[num2+3*incre]);
                    Console.Write(end);
                    Console.WriteLine();
                    
                    if (m%30==0) {
                        incre=Rand.Next(0,3);
                        Console.WriteLine("\\end{enumerate}");
                        Console.WriteLine("\\end{multicols}");
                        Console.WriteLine();
                        Console.WriteLine("\\pagebreak[4]");
                        Console.WriteLine();
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        //Console.WriteLine("\\large Promatics Education Centre\\\\[1.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        Console.WriteLine(latex[0]);
                        Console.WriteLine("\\textbf{Exercise "+((m+30)/30+1)+". "+exerciseTitle+".}\\\\");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
                    }
                    
                    Console.Write("        \\item \\(");
                    n=0;
                }

/* if(i==i_final){
                    Console.WriteLine("\\end{enumerate}");
                    Console.WriteLine("\\end{multicols}");
                    
                }*/

}
            
            
        }
        
     
        public static void makeDiv4by2()     {
            
            for (int i =0; i<10000; i++) {
                  
                int dividend = Rand.Next(1001,10000);
                int divisor = Rand.Next(11,99);

if (dividend%divisor==0) {
                Console.WriteLine("        \\item \\("+dividend+"\\div"+divisor+"=\\)");
                    
                }
            }
        }
        
        public static void makeSciNot(){
            
            for (int i=0; i<100; i++){
                
                int num1 = Rand.Next(1,10);
                int dec1 = Rand.Next(1,10);
                int num2 = Rand.Next(1,10);
                int dec2 = Rand.Next(1,10);
                int exp = Rand.Next(-9,10);
                int plusminus = Rand.Next(-1,2);
                if (num1>num2 && exp != exp+plusminus){
                    
                Console.WriteLine("        \\item \\({0}.{3} \\times 10^{{{2}}}+{1}.{4} \\times 10^{{{5}}}=\\)",num1,num2,exp,dec1,dec2,exp+plusminus);
                }
            }
        }
        
        public static void DN(){
            
            //st<string> sign = new List<string>(new string[] {"+","-","*","/"});
            List<char> sign = new List<char>(new char[] {'+','-','*','/'});
            
            for (int i=0;i<100;i++){
                
                string question = "{0}{1}{2}{3}{4}{5}{6}";
                int pick1= Rand.Next(0+sign.Count());
                int pick2= Rand.Next(0+sign.Count());
                int pick3= Rand.Next(0+sign.Count());
                int num1=Rand.Next(-9,10);
                int num2=Rand.Next(-9,10);
                int num3=Rand.Next(-9,10);
                int num4=Rand.Next(-9,10);
                string num1_str, num2_str, num3_str, num4_str;
                bool num1_b = num1<0;
                bool num2_b = num2<0;
                bool num3_b = num3<0;
                bool num4_b = num4<0;
                
                if (num1_b && !num2_b && !num3_b && !num4_b) {
                    num1_str = "("+num1.ToString()+")";
                    Console.WriteLine(question,num1_str,sign[pick1],num2,sign[pick2],num3,sign[pick3],num4);
                    Console.WriteLine(num1+sign[pick1]+num2+sign[pick2]+num3+sign[pick3]+num4);
                    
                }
                
                else if (num2_b && !num1_b && !num3_b && !num4_b){
                    num2_str = "("+num2.ToString()+")";
                    Console.WriteLine(question,num1,sign[pick1],num2_str,sign[pick2],num3,sign[pick3],num4);
                    Console.WriteLine(num1+sign[pick1]+num2+sign[pick2]+num3+sign[pick3]+num4);
                }
                
                else if (num3_b && !num1_b && !num2_b && !num4_b){
                    num3_str = "("+num3.ToString()+")";
                    Console.WriteLine(question,num1,sign[pick1],num2,sign[pick2],num3_str,sign[pick3],num4);
                    Console.WriteLine(num1+sign[pick1]+num2+sign[pick2]+num3+sign[pick3]+num4);
                }
                
                else if (num4_b && !num1_b && !num2_b && !num3_b){
                    num4_str = "("+num4.ToString()+")";
                    Console.WriteLine(question,num1,sign[pick1],num2,sign[pick2],num3,sign[pick3],num4_str);
                    Console.WriteLine(num1+sign[pick1]+num2+sign[pick2]+num3+sign[pick3]+num4);
                }
                
                else if (num1_b && num2_b &&!num3_b && !num4_b){
                    num1_str = "("+num1.ToString()+")";
                    num2_str = "("+num2.ToString()+")";
                    Console.WriteLine(question,num1_str,sign[pick1],num2_str,sign[pick2],num3,sign[pick3],num4);
                    Console.WriteLine(num1+sign[pick1]+num2+sign[pick2]+num3+sign[pick3]+num4);
                }
                
                else if (num1_b && num3_b && !num2_b && !num4_b){ 
                    num1_str = "("+num1.ToString()+")";
                    num3_str = "("+num3.ToString()+")";
                    Console.WriteLine(question,num1_str,sign[pick1],num2,sign[pick2],num3_str,sign[pick3],num4);
                    Console.WriteLine(num1+sign[pick1]+num2+sign[pick2]+num3+sign[pick3]+num4);
                }
                
                else if (num1_b && num4_b && !num2_b && !num3_b){
                    num1_str = "("+num1.ToString()+")";
                    num4_str = "("+num4.ToString()+")";
                    Console.WriteLine(question,num1_str,sign[pick1],num2,sign[pick2],num3,sign[pick3],num4_str);
                    Console.WriteLine(num1+sign[pick1]+num2+sign[pick2]+num3+sign[pick3]+num4);
                }
                
                else if (num2_b && num3_b && !num1_b && !num4_b){
                    num2_str = "("+num2.ToString()+")";
                    num3_str = "("+num3.ToString()+")";
                    Console.WriteLine(question,num1,sign[pick1],num2_str,sign[pick2],num3_str,sign[pick3],num4);
                    Console.WriteLine(num1+sign[pick1]+num2+sign[pick2]+num3+sign[pick3]+num4);
                }
                
                else if (num2_b && num4_b && !num1_b && !num3_b){
                    num2_str = "("+num2.ToString()+")";
                    num4_str = "("+num4.ToString()+")";
                    Console.WriteLine(question,num1,sign[pick1],num2_str,sign[pick2],num3,sign[pick3],num4_str);
                    Console.WriteLine(num1+sign[pick1]+num2+sign[pick2]+num3+sign[pick3]+num4);
                }
                
                else if (num3_b && num4_b && !num1_b && !num2_b){
                    num3_str = "("+num3.ToString()+")";
                    num4_str = "("+num4.ToString()+")";
                    Console.WriteLine(question,num1,sign[pick1],num2,sign[pick2],num3_str,sign[pick3],num4_str);
                    Console.WriteLine(num1+sign[pick1]+num2+sign[pick2]+num3+sign[pick3]+num4);
                }
                
                else if (num1_b && num2_b && num3_b && !num4_b){
                    num1_str = "("+num1.ToString()+")";
                    num2_str = "("+num2.ToString()+")";
                    num3_str = "("+num3.ToString()+")";
                    Console.WriteLine(question,num1_str,sign[pick1],num2_str,sign[pick2],num3_str,sign[pick3],num4);
                    Console.WriteLine(num1+sign[pick1]+num2+sign[pick2]+num3+sign[pick3]+num4);
                }
                
                else if (num1_b && num3_b && num4_b && !num2_b){
                    num1_str = "("+num1.ToString()+")";
                    num3_str = "("+num3.ToString()+")";
                    num4_str = "("+num4.ToString()+")";
                    Console.WriteLine(question,num1_str,sign[pick1],num2,sign[pick2],num3_str,sign[pick3],num4_str);
                    Console.WriteLine(num1+sign[pick1]+num2+sign[pick2]+num3+sign[pick3]+num4);
                }
                
                else if (num1_b && num2_b && num4_b && !num3_b){
                    num1_str = "("+num1.ToString()+")";
                    num2_str = "("+num2.ToString()+")";
                    num4_str = "("+num4.ToString()+")";
                    Console.WriteLine(question,num1_str,sign[pick1],num2_str,sign[pick2],num3,sign[pick3],num4_str);
                    Console.WriteLine(num1+sign[pick1]+num2+sign[pick2]+num3+sign[pick3]+num4);
                }
                
                else if (num2_b && num3_b && num4_b && !num1_b){
                    num2_str = "("+num2.ToString()+")";
                    num3_str = "("+num3.ToString()+")";
                    num4_str = "("+num4.ToString()+")";
                    Console.WriteLine(question,num1,sign[pick1],num2_str,sign[pick2],num3_str,sign[pick3],num4_str);
                    Console.WriteLine(num1+sign[pick1]+num2+sign[pick2]+num3+sign[pick3]+num4);
                }
                
                else {
                    Console.WriteLine(question,num1,sign[pick1],num2,sign[pick2],num3,sign[pick3],num4);
                    Console.WriteLine(num1+sign[pick1]+num2+sign[pick2]+num3+sign[pick3]+num4);
                }
              
            }

}
        
        public static void MixedNum() {
                       
            int[] n = new int[10];
            List<string> questions = new List<string> ();
            
            /////////////////// for the strings
            List<string> lines = new List<string>();
            lines.Add("\\begin{figure}[ht!]");
            lines.Add("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
            lines.Add("\\end{figure}");
            lines.Add("");
            lines.Add("\\begin{addmargin}[21em]{0em}");
            lines.Add("\\vspace{-26mm}Name: \\underline{\\hspace{5cm}} \\\\[0.5em]");
            lines.Add("\\end{addmargin}\\vspace{5mm}");
            lines.Add("");
            lines.Add("\\vspace{-10mm}\\begingroup");
            lines.Add("\\centering");
            lines.Add("\\LARGE Revision \\\\[0.5em]");
            lines.Add("\\endgroup");
            lines.Add("");
            lines.Add("\\section{What numbers (from 2 to 9) can these numbers be divisible by?}");
            lines.Add("\\begin{tasks}(2)");
            ///////////////////////

while (questions.Count()<300) {
                    //n[0] = Rand.Next(10,400); // for prime factorization
                    
                    n[0]=Rand.Next(3,8);
                    n[1]=Rand.Next();
                    
                    
                    for (int i =0; i<n.Length; i++){
                        n[i] = Rand.Next(1,13);
                        n[1] = Rand.Next(2,13);
                        n[3] = Rand.Next(2,13);
                        n[4] = Rand.Next(2,10);
                        n[5] = Rand.Next(2,10);
                    }
                    string[] op = new string[] {"+","-"};
                    int x = Rand.Next(0,op.Count());
                    int y = Rand.Next(0,2);
                    int z = Rand.Next(0,2);
                    //Console.WriteLine("\\("+n[4]+"\\dfrac{"+n[0]+"}{"+n[1]+op[x]+n[5]+"\\dfrac{"+n[2]+"}{"+n[3]+"}=\\)\\\\");
                    if (n[1]!=n[3] && n[0]<n[1] && n[2]<n[3]) {
                        double n0 = (double)n[0];
                        double n1 = (double)n[1];
                        double n2 = (double)n[2];
                        double n3 = (double)n[3];
                        if (op[x].Equals("-")){
                            if(n[4]>n[5]) {
                            
                            questions.Add("    \\task \\("+n[4]+"\\dfrac{"+n[0]+"}{"+n[1]+"}"+op[x]+n[5]+"\\dfrac{"+n[2]+"}{"+n[3]+"}=\\underline{\\hspace{2cm}}\\)\\\\");
                            }
                            else if (n[4]==n[5] && ((double)n[0]/(double)n[1])>((double)n[2]/(double)n[3])){
                                questions.Add("    \\task \\("+n[4]+"\\dfrac{"+n[0]+"}{"+n[1]+"}"+op[x]+n[5]+"\\dfrac{"+n[2]+"}{"+n[3]+"}=\\underline{\\hspace{2cm}}\\)\\\\");
                            }

}
                        
                        else  {   
                            questions.Add("    \\task \\("+n[4]+"\\dfrac{"+n[0]+"}{"+n[1]+"}"+op[x]+n[5]+"\\dfrac{"+n[2]+"}{"+n[3]+"}=\\underline{\\hspace{2cm}}\\)\\\\");
                        }
                     
                 // for fraction arithmetic 
                    
                    }
                    
                    
                }

int counter=0;
                            int increment=29;
                for (int i=0; i<questions.Count(); i++) {
                
                    
                
                    if ((i)%30==0){
                        //foreach (string line in lines) {
                                    
                            //Console.WriteLine(line);
                      Console.WriteLine("Begin");
                        //}
                    }
                  
                    Console.WriteLine(questions[i]);
                        if( i==increment) {
                        
                        //Console.WriteLine("\\end{tasks}");
                        //Console.WriteLine("\\newpage");
                        Console.WriteLine("End");
                    }  
                
                    increment = increment + counter*30;
                    counter = counter+1;
                    
                }
                
                            
                            //Console.WriteLine(questions.Count());

}
        
        public static void PrintArithmetic<T>(List<T> list, string title) {
        
        //string title = "Title ()";
        //string exerciseTitle = "Instructions";
        //int m=0;
        //int i_final=30000;
        //int incre= 0;
        
        string[] latex = new string[] {"\\fontsize{16pt}{25pt}\\selectfont", "        \\setlength\\itemsep{10pt}"};
        
        string[] op = new string[2] {"(", ")("};
        //string end = ")=\\)";
        
        for (int i=0; i<list.Count(); i++){
                    
                    if(i==0){
    
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-33mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\hspace*{-10mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        Console.WriteLine(latex[0]);
                        //Console.WriteLine("\\textbf{Exercise "+(i/30+1)+". "+exerciseTitle+".}\\\\");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
    
                    
                    }
                    Console.WriteLine(list[i]);
                   
                    if (i!=0 && (i+1)%30==0){
                      
                        
                        Console.WriteLine("\\end{enumerate}");
                        Console.WriteLine("\\end{multicols}");
                        Console.WriteLine();
                        Console.WriteLine("\\newpage");
                        Console.WriteLine();
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\hspace*{-10mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        //Console.WriteLine("\\textbf{Exercise "+((i+30)/30+1)+". "+exerciseTitle+".}\\\\");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
                    }
                }
        }
        
        public static void Print<T>(List<T> list, string title, string exerciseTitle) {
        
        //string title = "Title ()";
        //string exerciseTitle = "Instructions";
        //int m=0;
        //int i_final=30000;
        //int incre= 0;
        
        string[] latex = new string[] {"\\fontsize{12pt}{16pt}\\selectfont", "        \\setlength\\itemsep{2em}"};
        
        string[] op = new string[2] {"(", ")("};
        //string end = ")=\\)";
        
        for (int i=0; i<list.Count(); i++){
                    
                    if(i==0){
    
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        Console.WriteLine(latex[0]);
                        Console.WriteLine("\\textbf{Exercise "+(i/30+1)+". "+exerciseTitle+".}\\\\");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
    
                    
                    }
                    Console.WriteLine(list[i]);
                   
                    if (i!=0 && (i+1)%30==0){
                      
                        
                        Console.WriteLine("\\end{enumerate}");
                        Console.WriteLine("\\end{multicols}");
                        Console.WriteLine();
                        Console.WriteLine("\\newpage");
                        Console.WriteLine();
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        Console.WriteLine(latex[0]);
                        Console.WriteLine("\\textbf{Exercise "+((i+30)/30+1)+". "+exerciseTitle+".}\\\\");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
                    }
                }
        }
        
         public static void LCM(int a, int b) {

int lcm;

int a_r=a;
             int b_r=b;
             int d=max(a_r,b_r);
             
             while(d>1) {
                 
                 if (a_r%d==0 && b_r%d==0) {
                     
                     int a_r_temp=a_r/d;
                     int b_r_temp=b_r/d;
                     a_r=a_r_temp;
                     b_r=b_r_temp;
                     lcm=d*a_r*b_r;
                     break;
                     
                 }
               
                 d--;

}
             
             lcm=d*a_r*b_r;
             Console.WriteLine("LCM({0},{1}): {2}", a,b,lcm);
         }
             
             
            
        public static void LCM(int a, int b, int c) {
     
            int lcm;
                
            if (a==0) {
                Console.Write("LCM("+a+","+b+","+c+") = ");
                LCM(b,c);
            }

else if (b==0) {
                Console.Write("LCM("+a+","+b+","+c+") = ");
                LCM(a,c);
            }
            
            else if(c==0) {
                Console.Write("LCM("+a+","+b+","+c+") = ");
                LCM(a,b);
            }
            
            // if all three are equal
            
            else if (a==b && b==c) {
            
                Console.WriteLine("LCM: "+a);
 
                
            }
            // if a and b are equal
            else if (a==b && a!=c) {
                if (a>c) { // if a is greater than c, use a as divisor then decrement
                    for (int i=a; a>1; i--) {
                        if (a%i==0 && c%i==0) {
                            int a_reduced=a/i;
                            int c_reduced=c/i;
                            lcm = i*a_reduced*c_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
                else { // if c is greater than a, use c as divisor then decrement
                    for (int i=c; c>1; i--) {
                        if (a%i==0 && c%i==0) {
                            int a_reduced=a/i;
                            int c_reduced=c/i;
                            lcm = i*a_reduced*c_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
            }
            // if b and c are equal
            else if (b==c && a!=b) {
                if (a>b) { // if a is greater than b, use b as divisor then decrement
                    for (int i=a; a>1; i--) {
                        if (a%i==0 && b%i==0) {
                            int a_reduced=a/i;
                            int b_reduced=b/i;
                            lcm = i*a_reduced*b_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
                else { // if b is greater than a, use b as divisor then decrement
                    for (int i=b; b>1; i--) {
                        if (a%i==0 && b%i==0) {
                            int a_reduced=a/i;
                            int b_reduced=b/i;
                            lcm = i*a_reduced*b_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
            }
            // if a and c are equal
            else if (a==c && a!=b) {
                if (a>b) { // if a is greater than b, use a as divisor then decrement
                    for (int i=a; a>1; i--) {
                        if (a%i==0 && b%i==0) {
                            int a_reduced=a/i;
                            int b_reduced=b/i;
                            lcm = i*a_reduced*b_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
                else { // if b is greater than a, use b as divisor then decrement
                    for (int i=b; b>1; i--) {
                        if (a%i==0 && b%i==0) {
                            int a_reduced=a/i;
                            int b_reduced=b/i;
                            lcm = i*a_reduced*b_reduced;            
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
            }
                    
            //if all three are different
            else { 
                
                int a_r = a;
                int b_r = b;
                int c_r = c;

int d = max (a_r,b_r,c_r); //set divisor as the max of the 3 numbers
                
                while (d>1) {

if (a_r%d==0 && b_r%d==0 && c_r%d==0) {
                        
                        int a_r_temp=a_r/d;
                        int b_r_temp=b_r/d;
                        int c_r_temp=c_r/d;
                        a_r = a_r_temp;
                        b_r = b_r_temp;
                        c_r = c_r_temp;
                        //Console.WriteLine("a_r and b_r and c_r");
                        break;
                        
                    }
                    
                    else if (a_r%d==0 && b_r%d==0) {

int a_r_temp=a_r/d;
                        int b_r_temp=b_r/d;
                        a_r = a_r_temp;
                        b_r = b_r_temp;
                        //Console.WriteLine("a_r and b_r");
                        break;
            
                    }
                        
             
                    else if (a_r%d==0 && c_r%d==0) {

int a_r_temp=a_r/d;
                        int c_r_temp=c_r/d;
                        a_r = a_r_temp;
                        c_r = c_r_temp;
                        //Console.WriteLine("a_r and c_r");
                        break;

}
                        
                  
                    else if (b_r%d==0 && c_r%d==0) {

int b_r_temp=b_r/d;
                        int c_r_temp=c_r/d;
                        b_r = b_r_temp;
                        c_r = c_r_temp;
                        //Console.WriteLine("b_r and c_r");
                        break;

}
                   
                    else {
                                       
                        //lcm=d*a_r*b_r*c_r;
                        //Console.WriteLine("{0}, {1}, {2}, {3}",a_r,b_r,c_r,d);
                        //Console.WriteLine("LCM({0},{1},{2}): {3}",a,b,c,lcm);
                    
                    }
                    
                    d--;
                    
                }
                    
                
                        lcm=d*a_r*b_r*c_r;
                        //Console.WriteLine("{0}, {1}, {2}, {3}",a_r,b_r,c_r,d);
                        Console.WriteLine("LCM({0},{1},{2}): {3}",a,b,c,lcm);
            }
        }

public static int max(int a, int b) {
            
            if (a>b){
                return a;
            }
            else if (b>a){
                return b;
            }
            else {
                return a;
            }
        }

public static int max(int a, int b, int c) {

if (a>=b && a>=c) {
                
                return a;
            }
            
            else if (b>=a && b>=c) {
                 
                return b;
            }
            
            else {
                
                return c;
            }
        }

public static void Pyth(int lowerBound, int upperBound) {
            //Your code goes here
                       
            for (int i=lowerBound; i<=upperBound; i++) {
                
                for (int j=lowerBound; j<=upperBound; j++){
                    
                    double c = Math.Sqrt(Math.Pow(i,2)+Math.Pow(j,2));
                    if (c%1==0){
                        
                        Console.WriteLine("(a,b,c) = (" + i + "," + j + "," + c + ")");
                    }
                }
            }
        }
        
        public static void areaTrapezoid(double top, double bottom, double height) {
            
            double area = (top+bottom)*height/2;
            Console.WriteLine("Area: {0}", area);
    
        }

public static void volumeCylinder ( double radius, double height) {
            
            double vol = radius*radius*Math.PI*height;
            Console.WriteLine("Volume: {0}", vol);
        
        }

public static void sAreaCylinder(double radius, double height) {
            
            double s_area = 2*calcAreaCircle(radius) + calcAreaCircle(radius)*height;
            Console.WriteLine("Surface Area: {0}", s_area);
        }

public static void Circumf(int radius){
            
            double circ = 2*radius*Math.PI;
            Console.WriteLine("Circumference: {0}", circ);
        }
                
    
        public static void areaCircle(double r){
            double area = r*r*Math.PI;
            Console.WriteLine("Area: {0}", area);
        }
        
        public static double calcAreaCircle(double r){
        
            return r*r*Math.PI;
    
        }
        
        public static double calcCircumCirlce(double r){
            
            return 2*r*Math.PI;
        }
    
        public static void sAreaCone(int r, int l) {}

public static void volumeCone(int r, int h){}

public static void SimplifyRatio(int ratio1, int ratio2, int ratio3) {
            
            int divisor;
            if (ratio1>ratio2 && ratio1>ratio3) {
                divisor = ratio1;
             }
            else if (ratio2>ratio1 && ratio2>ratio3) {
                divisor = ratio2;
            }
            else divisor = ratio3;

int ratio1_reduce = ratio1;
            int ratio2_reduce = ratio2;
            int ratio3_reduce = ratio3;
            while (divisor!=1) {

if(ratio1_reduce%divisor==0 && ratio2_reduce%divisor==0 && ratio3_reduce%divisor==0){
                int ratio1_reduce_temp = ratio1_reduce/divisor;
                int ratio2_reduce_temp = ratio2_reduce/divisor;
                int ratio3_reduce_temp = ratio3_reduce/divisor;

ratio1_reduce = ratio1_reduce_temp;
                ratio2_reduce = ratio2_reduce_temp;
                ratio3_reduce = ratio3_reduce_temp;
                divisor--;
            }
            else divisor--;

}
            
            Console.WriteLine(ratio1+":"+ratio2+":"+ratio3+" = "+ratio1_reduce+":"+ratio2_reduce+":"+ratio3_reduce);
        }
        
        public static void checkAlgebra(){
            
            for (int x = -40; x<40; x++) {
                
                int a = 62*x-68;
                int b = 35;
                
                if (a%b==0){
                        
                    Console.WriteLine(x);
                }
            }
            
            
        }

public static void addLineBreak(int linesPerSection, int totalLines) {
         
            for (int i=0; i<=totalLines; i++) {
                
                if (i%linesPerSection==0) {
                    
                    Console.WriteLine("Break");
                    
                }
                
                else Console.WriteLine("No");
                
            
            }
        }
                 
        public static void circleX(double x, double radius) {
            
            Console.WriteLine("("+x+", "+Math.Round(Math.Sqrt(radius*radius-Math.Pow(x,2)),3)+")");
            
        }
        
        public static void circleY(double y, double radius) {
          
            Console.WriteLine("("+y+", "+Math.Round(Math.Sqrt(radius*radius-Math.Pow(y,2)),3)+")");
            
        }
        
        public static void angle(double x1, double y1, double x2, double y2, double x3, double y3) {
         
            double l12 = Math.Pow((x1-x2),2) +Math.Pow((y1-y2),2);
            double l13 = Math.Pow((x3-x1),2) +Math.Pow((y3-y1),2);
            double l23 = Math.Pow((x3-x2),2) +Math.Pow((y3-y2),2);
            
            double lhs = (l13-l12-l23)/(-2*Math.Sqrt(l12)*Math.Sqrt(l23));
            double angle2 = Math.Acos(lhs);
            //double angle2 = Math.Round(Math.Acos()*100,3);
            
            //Console.WriteLine(angle2 + " degrees C");
            Console.WriteLine(l12 + " " + l23 + " " + l13);
            Console.WriteLine(lhs);
                Console.WriteLine(angle2*360/(2*Math.PI)+" degrees");
        }
        
        
    }
    
    public static class Rand
    { 
        /// <summary> 
        /// Random number generator used to generate seeds, 
        /// which are then used to create new random number 
        /// generators on a per-thread basis. 
        /// </summary> 
        private static readonly Random globalRandom = new Random(); 
        private static readonly object globalLock = new object();

/// <summary> 
        /// Random number generator 
        /// </summary> 
        private static readonly ThreadLocal<Random> threadRandom = new ThreadLocal<Random>(NewRandom);

/// <summary> 
        /// Creates a new instance of Random. The seed is derived 
        /// from a global (static) instance of Random, rather 
        /// than time. 
        /// </summary> 
        public static Random NewRandom() 
        { 
            lock (globalLock) 
            { 
                return new Random(globalRandom.Next()); 
            } 
        }

/// <summary> 
        /// Returns an instance of Random which can be used freely 
        /// within the current thread. 
        /// </summary> 
        public static Random Instance { get { return threadRandom.Value; } }

/// <summary>See <see cref="Random.Next()" /></summary> 
        public static int Next() 
        { 
            return Instance.Next(); 
        }

/// <summary>See <see cref="Random.Next(int)" /></summary> 
        public static int Next(int maxValue) 
        { 
            return Instance.Next(maxValue); 
        }

/// <summary>See <see cref="Random.Next(int, int)" /></summary> 
        public static int Next(int minValue, int maxValue) 
        { 
            return Instance.Next(minValue, maxValue); 
        }

/// <summary>See <see cref="Random.NextDouble()" /></summary> 
        public static double NextDouble() 
        { 
            return Instance.NextDouble(); 
        }

/// <summary>See <see cref="Random.NextBytes(byte[])" /></summary> 
        public static void NextBytes(byte[] buffer) 
        { 
            Instance.NextBytes(buffer); 
        } 
        
        public static double NextD(double minValue, double maxValue) {
            
            return Instance.NextDouble()*(maxValue-minValue)+minValue;
        }
    } 
}

namespace ShuffleExtension {
    
    public static class ShuffleExtend {
        
        //private static readonly Random rnd = new Random();
        
        public static void Shuffle<T>(this IList<T> list) {
        
            int n = list.Count; 
       
            while (n > 1) {
            
                int k = (Rextester.Rand.Next(0, n) % n);
                n--;
                T value = list[k];
                list[k] = list[n];    
                list[n] = value;
        
            }
            
   
        }
    }
}

Show compiler warnings [ + ] Show input
Compilation time: 0,2 sec, absolute running time: 2,11 sec, cpu time: 0,08 sec, average memory usage: 24 Mb, average nr of threads: 5

\begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-1c+2ab+-7a+-7a=\) \item \(8ac+1abc+7ab=\) \item \(2a+-7a+6c+-9ab=\) \item \(-8ac+-6bc+3ab+3ab=\) \item \(-6bc+-6c+6ab=\) \item \(1c+-8bc+-8bc=\) \item \(8ac+9abc+9abc=\) \item \(4b+-2b+2abc+-7a=\) \item \(-4c+8ac+6abc+6abc=\) \item \(3abc+6abc+3c=\) \item \(7ab+3abc+3abc=\) \item \(-5c+-3abc+3a=\) \item \(1c+-5bc+1ac=\) \item \(6ac+2a+4c+3bc+3bc=\) \item \(8ac+-8b+2abc+2abc=\) \item \(-4ab+-5a+6b=\) \item \(-6c+4abc+-9a=\) \item \(3a+-5b+-5c+-5c=\) \item \(1ac+-2ac+-2ac=\) \item \(5c+-8ab+6bc+4a=\) \item \(-4c+8ac+8ac=\) \item \(-2ab+-8ac+-4ab+-3ac=\) \item \(3ab+1ab+-5c+-6a=\) \item \(7ab+5ac+5ac=\) \item \(-6ac+-5ab+-5ab=\) \item \(7ab+4bc+9ab+9ab=\) \item \(-8ac+-5c+5abc=\) \item \(9abc+9a+5ac+5ac=\) \item \(-1ab+-4c+-6a=\) \item \(4ac+-5c+-5c=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 2. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-7abc+-9ab+-2ac+-7bc+-7bc=\) \item \(-1ab+-4c+-8c=\) \item \(-6b+9ab+9a=\) \item \(-4ab+9ab+-6b+-6b=\) \item \(-7a+-1a+-7c+-7c=\) \item \(-9b+-7c+-7c=\) \item \(-7b+2ab+3abc=\) \item \(2ac+-6ac+7bc+7bc=\) \item \(-8ab+-5ac+-5ac=\) \item \(-9ab+4ac+-6a=\) \item \(7ac+5c+5c=\) \item \(6b+-3c+-3c=\) \item \(2c+-9ab+-5c=\) \item \(-1abc+-2ac+8ac=\) \item \(-6a+-3bc+8c+8c=\) \item \(-3ac+9ab+9ab=\) \item \(-7ac+-5a+-5bc=\) \item \(2ab+-7abc+-7abc=\) \item \(5b+7a+1ab+1ab=\) \item \(-9abc+3ac+3ac=\) \item \(-8bc+-5ab+-5ab=\) \item \(-4ac+-4ac+-6b+-6b=\) \item \(-1bc+6ab+-1a+7ac+7ac=\) \item \(-7ab+2abc+6c+1abc+1abc=\) \item \(8ab+3ac+3ac=\) \item \(-5b+-5c+2bc+3b=\) \item \(9a+9ac+9ac=\) \item \(-5ab+6abc+5bc+5bc=\) \item \(-7bc+2b+-6ab+-6ab=\) \item \(-6ab+-6bc+-7bc+-8c=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 4. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-6b+-4ac+-4ac=\) \item \(4bc+8ac+3abc+1ab=\) \item \(-2abc+-2b+-6ab=\) \item \(5a+-2bc+3bc=\) \item \(-8ab+3ac+3ac=\) \item \(7c+-4a+9c+2a=\) \item \(-1b+-8c+-8c=\) \item \(6c+-6ac+-6ac=\) \item \(2ac+-8abc+-8abc=\) \item \(9abc+7ac+6abc=\) \item \(9b+3bc+-5ab=\) \item \(9b+5ac+5ac=\) \item \(5ab+-6c+-8abc+6ac+6ac=\) \item \(7abc+5ab+5ab=\) \item \(-1ac+7a+-1abc+4ac+4ac=\) \item \(4b+-3a+-3a=\) \item \(6c+-7ab+5ac+5ac=\) \item \(9bc+-9ab+7ab=\) \item \(-6b+4bc+-7a+-7ac=\) \item \(-5ab+-8a+5b+-7abc=\) \item \(2abc+-1a+-1a=\) \item \(6abc+-9b+-3abc=\) \item \(-1bc+6ac+2b+2a+2a=\) \item \(-6abc+-4c+-6abc=\) \item \(-1ac+-7ab+-7ab=\) \item \(4ac+-7c+1bc=\) \item \(9a+-9bc+3b+3b=\) \item \(-9b+-8bc+-1b+-2c+-2c=\) \item \(4ab+2ab+2ab=\) \item \(-9ac+-4bc+-3abc+-3abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 4. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(6n+-4kn+1kn+1kn=\) \item \(9k+7kmn+7kmn=\) \item \(7km+8n+-1kn+-1kn=\) \item \(-1km+3km+-2yz=\) \item \(5k+-6km+-8m+-8m=\) \item \(-5k+-6km+1xy=\) \item \(9km+-6km+7x=\) \item \(-5mn+-8n+-3x=\) \item \(-3km+4kn+4z=\) \item \(2kmn+7n+7n=\) \item \(-3n+8k+-1k+7y=\) \item \(-3n+4n+4n=\) \item \(-4mn+9kmn+9m+9m=\) \item \(-5k+2k+5kn+1km+1km=\) \item \(4km+2km+-2kmn+-2kmn=\) \item \(1m+-4mn+5n+5n=\) \item \(1k+-5kn+-5kn=\) \item \(5n+6mn+-6m+-6m=\) \item \(-9km+-2k+-2m+7yz=\) \item \(2k+-2mn+6m+4z=\) \item \(4n+8kmn+-2y=\) \item \(4kn+2kn+2kn=\) \item \(-5m+-6m+-1n+-1n=\) \item \(-3k+-6km+-6km=\) \item \(-2m+-2mn+4m+4m=\) \item \(3km+-7km+-7km=\) \item \(1kn+-3n+1k+1k=\) \item \(-8k+-5kmn+9k+8x=\) \item \(2n+-5km+-8k+7mn+7mn=\) \item \(9m+5mn+3k+3n+3n=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 5. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-8b+-9bc+4b+4b+4b=\) \item \(-6abc+-2a+-1ac+-1ac=\) \item \(3b+1a+1a=\) \item \(9a+-5bc+8bc=\) \item \(-5bc+-5ac+-5ac=\) \item \(-8c+-8bc+-8c+8a=\) \item \(-5ab+6a+-9abc+-9abc=\) \item \(9bc+6bc+7ab+7b=\) \item \(3c+-2ab+6ab+6ab=\) \item \(-7c+-1abc+5ac+1ac+1ac=\) \item \(4abc+-2bc+-4bc=\) \item \(-5a+3a+4bc=\) \item \(3abc+3abc+3abc=\) \item \(5abc+-1c+7c+-5a=\) \item \(-2b+5c+-8ac=\) \item \(3abc+7b+3a+7b=\) \item \(5ac+5b+-8c+-8c=\) \item \(-8c+5bc+5bc=\) \item \(1bc+-2c+6ab=\) \item \(-8bc+7ab+-1bc+-1bc=\) \item \(-8bc+9ab+3c+3c=\) \item \(-1bc+-3b+-1bc=\) \item \(4a+5ab+5ab=\) \item \(-7ac+-9abc+-4c=\) \item \(5ab+-6bc+-9ac+-9ac=\) \item \(3ac+8abc+-7a+2abc+2abc=\) \item \(8ac+5a+6a+-1abc=\) \item \(3b+-4bc+-3ab+-3ab=\) \item \(9b+-9c+-9c=\) \item \(-5a+-4ab+4b+9ac=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 7. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-6m+9m+4k+4k=\) \item \(2km+8k+-7yz=\) \item \(2mn+3mn+-6xz=\) \item \(2kn+-7km+-7km=\) \item \(-2k+3m+3m=\) \item \(-9kn+-8k+1kn+-1m+-1m=\) \item \(-6n+-1km+-5mn+4y=\) \item \(8kn+4kmn+4kmn=\) \item \(3km+-7m+1yz=\) \item \(4k+-7n+-7n=\) \item \(-2mn+6mn+-5z=\) \item \(4mn+9m+8z=\) \item \(-6km+8m+8m=\) \item \(2kmn+-5m+4y=\) \item \(-1k+-1m+2n+4abc=\) \item \(-4m+-2km+4xy=\) \item \(1kn+-9kmn+-4abc=\) \item \(-1kn+-4km+-1k+-2x=\) \item \(8mn+-4kn+-3m+-3m=\) \item \(-5n+-4km+-4km=\) \item \(7mn+7kn+8kmn+7m+7m=\) \item \(-3kn+7m+7m=\) \item \(8m+2km+-8n+-8n=\) \item \(-3kmn+2k+2k=\) \item \(9n+3km+6yz=\) \item \(-1kn+2k+2xy=\) \item \(7k+-2kmn+-2kmn=\) \item \(-2kmn+-6n+-7kn+3z=\) \item \(9km+-8m+-8m=\) \item \(-6kmn+4km+4km=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 7. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(6b+4ab+4ab=\) \item \(-6a+-2a+-6b=\) \item \(-1bc+5ab+-8ab+6b=\) \item \(-4abc+2b+2b=\) \item \(1ab+4a+2a=\) \item \(-9a+9a+7c+7c=\) \item \(2a+-3bc+6ab=\) \item \(6ac+-5ab+6abc+6a=\) \item \(-7ac+1ac+-4b+6abc+6abc=\) \item \(-8b+9bc+-5c+-4ac+-4ac=\) \item \(-1ab+6a+2bc=\) \item \(-7c+-2ac+-7b=\) \item \(-8bc+1a+1a=\) \item \(5c+-3c+2bc+2bc=\) \item \(4a+5ab+-1a=\) \item \(5a+-3a+3b=\) \item \(-7abc+5b+5b=\) \item \(3bc+-4bc+-4bc=\) \item \(-6ac+8bc+8bc=\) \item \(6ac+-8bc+-8bc=\) \item \(9bc+4abc+4abc=\) \item \(2ab+-8c+-8c=\) \item \(-5c+3ab+3ab=\) \item \(-6abc+1a+6b+2b=\) \item \(-5ab+3ab+3ab=\) \item \(-6abc+2bc+2bc=\) \item \(-7ac+3abc+-2b=\) \item \(3b+3a+7c+7b=\) \item \(-7c+-7c+-7ab=\) \item \(-3a+3bc+3bc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 8. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-3xz+9xyz+9xyz=\) \item \(-8y+-5xz+-5xz=\) \item \(-4z+-4yz+-4yz=\) \item \(7yz+-7xz+-7xz=\) \item \(7yz+-7z+-4ab=\) \item \(6z+-6yz+-6yz=\) \item \(4yz+-3x+-9z=\) \item \(-3xz+1yz+1xy+1xy=\) \item \(1xz+7y+6abc=\) \item \(-7xz+-4y+-4y=\) \item \(8xy+5x+5x=\) \item \(-8yz+-4xyz+1ab=\) \item \(-4x+7xy+-6xy+-6xy=\) \item \(3yz+9xyz+9xyz=\) \item \(-1z+-5x+9xy+1bc=\) \item \(-6xy+-6xy+-1yz+5z+5z=\) \item \(9xz+4yz+4yz=\) \item \(6x+-4xy+2z+2z=\) \item \(-9xz+-9xyz+-9xyz=\) \item \(4z+-3z+-3z=\) \item \(-4y+-9x+-5x+-5x=\) \item \(5xyz+2yz+3ac=\) \item \(2xy+-6yz+-9z+-8xz+-8xz=\) \item \(-8x+3z+3z=\) \item \(9z+6y+6y=\) \item \(-3z+-4xyz+6ab=\) \item \(-9y+9y+6bc=\) \item \(-8xz+5xyz+3xz+3xz=\) \item \(6xy+-5xyz+-5xyz=\) \item \(8xy+6xz+8x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 10. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-5m+-8km+-8abc=\) \item \(-3kn+-3k+-4n+-8m+-8m=\) \item \(8mn+-3n+-2kmn+7abc=\) \item \(-1n+-1n+-4n+7kn+7kn=\) \item \(7kn+3k+-7xz=\) \item \(8k+5kmn+5kmn=\) \item \(-8km+1kmn+-4xy=\) \item \(3k+5k+5k=\) \item \(-4mn+-2n+-2n=\) \item \(2km+7mn+7mn=\) \item \(-6kn+-8k+2k+2k=\) \item \(-6mn+-1kmn+-6mn+-8abc=\) \item \(9km+-4k+5mn+5mn=\) \item \(9kmn+2m+-1n+-1n=\) \item \(-9kn+8n+-3xz=\) \item \(8n+-4kn+-7km+-7km=\) \item \(-6k+4kn+-7n+4kmn+4kmn=\) \item \(9kn+8n+-9xz=\) \item \(9k+4km+3mn+3mn=\) \item \(-8km+-2kn+2z=\) \item \(3m+-3mn+-3mn=\) \item \(1k+8kmn+2yz=\) \item \(3m+6m+5m+5m=\) \item \(-2k+3kmn+3kmn=\) \item \(-3n+4n+4n=\) \item \(-2kn+9kmn+9kmn=\) \item \(-9kn+-1mn+-8kmn+-8kmn=\) \item \(4km+-8n+8yz=\) \item \(-4mn+8k+8km+8km=\) \item \(9kn+9k+9k=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 10. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(8k+9mn+5y=\) \item \(-3km+1mn+-9km+-9km=\) \item \(2k+3m+3m=\) \item \(-2n+8m+-7m+-7m=\) \item \(3k+-2m+8n+8n=\) \item \(7kmn+8mn+8mn=\) \item \(2km+-7m+-1m+-1m=\) \item \(-4kmn+-7mn+-6mn+-1abc=\) \item \(-7m+-6kn+5km+7m+7m=\) \item \(9kmn+-6k+-6k=\) \item \(-2m+3km+-5k+-4n+-4n=\) \item \(-7km+8kn+-7xz=\) \item \(7n+-1kmn+-1kmn=\) \item \(8mn+-9kn+-2z=\) \item \(-4k+-6mn+9kn+9kn=\) \item \(9n+2n+2n=\) \item \(-2n+-8km+-9yz=\) \item \(3k+1km+1km=\) \item \(4mn+9kmn+9kmn=\) \item \(-2n+8km+2abc=\) \item \(4n+-6n+-4z=\) \item \(-1mn+8km+3abc=\) \item \(-7m+-6kmn+-6kmn=\) \item \(3km+-7mn+-6n+6km+6km=\) \item \(7k+3kn+3kn=\) \item \(-3n+2m+5kn+5kn=\) \item \(3kn+-3kn+-3kn=\) \item \(-6k+1m+1m=\) \item \(-4n+7mn+7mn=\) \item \(-1kn+4k+-3y=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 12. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-7y+5xy+2ac=\) \item \(8yz+-5xz+-5bc=\) \item \(-6xy+-8z+-2xyz+1z=\) \item \(7yz+3xz+-6y+-8abc=\) \item \(-5yz+1z+3xyz+4ab=\) \item \(-8yz+3xz+2xz+2xz=\) \item \(6y+2xy+2xy=\) \item \(6xy+5yz+1y+-1xz+-1xz=\) \item \(6z+6xyz+-9xz+9xy+9xy=\) \item \(2xyz+-6xyz+-9xyz+-2z=\) \item \(-7xy+-3xyz+7x+2ac=\) \item \(8yz+-9yz+-2z=\) \item \(9xyz+-9yz+3x+-1z=\) \item \(-5xyz+6z+2x+4ab=\) \item \(9x+4xz+-8x=\) \item \(9xz+1xz+1xz=\) \item \(-8yz+-4xyz+4z=\) \item \(-2x+-9xy+-1xz+-9ab=\) \item \(8xz+-5x+-5ab=\) \item \(-4xz+3xyz+-4y+-4y=\) \item \(-1yz+9yz+9yz=\) \item \(-7z+-1x+3y+3y=\) \item \(-5y+-9xy+-9xy=\) \item \(7xz+2y+-1yz+3yz+3yz=\) \item \(6xz+-9y+-9y=\) \item \(-4z+1xyz+3y+5z=\) \item \(2xz+3x+8xy+8xy=\) \item \(-8xz+2yz+2yz=\) \item \(8z+-2xy+-2xy=\) \item \(-9x+1xz+6xyz+-3abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 13. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(3k+-3km+-3km=\) \item \(-8n+1kmn+1kmn=\) \item \(-8km+-7m+-8xz=\) \item \(-6mn+4km+4km=\) \item \(1kn+3mn+3mn=\) \item \(5km+2k+2k=\) \item \(-1k+-1kmn+7m+3z=\) \item \(-2kmn+-9km+-9km=\) \item \(-4m+6k+1m+-4kn+-4kn=\) \item \(4kmn+-1kn+-6kmn+-6kmn=\) \item \(8k+9km+3mn+4kmn+4kmn=\) \item \(-6kmn+2k+-1mn+-1mn=\) \item \(3kmn+-5kn+-7xy=\) \item \(-7km+9km+8k+8k=\) \item \(-1km+8km+2m+-9z=\) \item \(4kmn+-2k+-8k+-8k=\) \item \(-1mn+-8kn+-7yz=\) \item \(4k+7kn+5mn+4n+4n=\) \item \(-7kmn+8n+8n=\) \item \(-8n+5km+-9kn+-5xz=\) \item \(-9mn+7n+-7km+-7km=\) \item \(9kmn+8kmn+8kmn+8kmn=\) \item \(-2kn+7k+-7xz=\) \item \(6mn+-8km+-8km=\) \item \(-9kn+9m+-6mn+-8xz=\) \item \(5km+6kn+6kn=\) \item \(8m+6n+1abc=\) \item \(-1n+-9mn+-1yz=\) \item \(6kn+-1n+2yz=\) \item \(-4km+1km+-1m+6xy=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 14. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-3b+-7ac+8ab+8ab=\) \item \(-5ac+-5ab+-9abc+-9abc=\) \item \(7ac+5abc+5abc=\) \item \(8bc+6ac+6ac=\) \item \(-9ac+-6abc+-2b=\) \item \(4c+-1ac+-4bc+-1ab=\) \item \(-4b+5b+-8ab=\) \item \(4abc+-9b+6b+5bc=\) \item \(-1abc+4b+3ac+3a=\) \item \(-5abc+8c+-2b+-2b=\) \item \(7ab+6bc+9bc+3ab+3ab=\) \item \(-1abc+8abc+8abc=\) \item \(2ab+2b+-2c=\) \item \(-3abc+1abc+1abc=\) \item \(1ac+1ab+-2ac=\) \item \(-4a+8b+8b=\) \item \(6c+3c+4a=\) \item \(-7ab+5abc+5abc=\) \item \(-4ab+-5ab+7a+7a=\) \item \(8ac+1bc+-1ac+5ab+5ab=\) \item \(-9bc+-5a+1abc+1abc=\) \item \(3bc+4a+-5a=\) \item \(6abc+-1ab+8ac+8ac=\) \item \(-7a+-3c+-2c+-2c=\) \item \(7a+-3a+-3a=\) \item \(1bc+8bc+4ac=\) \item \(5bc+-8c+-8c=\) \item \(1abc+8bc+-4c+-3b+-3b=\) \item \(-2c+7ac+-3bc+-3bc=\) \item \(1a+6a+9abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 15. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-7yz+9xy+7xy+7xy=\) \item \(-3xyz+7yz+-4x+-2yz+-2yz=\) \item \(-9y+4x+-3x+4xy+4xy=\) \item \(-1x+-1y+-1y=\) \item \(-4xy+8xz+8xz=\) \item \(7xz+9z+-1y=\) \item \(3z+4y+7y+2abc=\) \item \(2xyz+8yz+-5ab=\) \item \(-8xyz+-6xy+-9x+-9x=\) \item \(3xyz+7z+7z=\) \item \(-2x+-2xyz+6xy+4xz+4xz=\) \item \(-9xy+2yz+-1xz+-1xz=\) \item \(7yz+-2x+-2x=\) \item \(3z+-6x+-9ab=\) \item \(9xz+-3z+-3z=\) \item \(-3y+-9z+3x+3x=\) \item \(-1xz+-7y+-7y=\) \item \(3x+-9y+-8y+8xz+8xz=\) \item \(-8z+-1xz+3z+3z=\) \item \(-5y+2x+2x=\) \item \(8xyz+-6y+8x+8x=\) \item \(-4xyz+-1xz+2abc=\) \item \(-3x+2x+-2ab=\) \item \(8xz+-2xy+-7xz+5yz+5yz=\) \item \(-5xz+4xyz+4xyz=\) \item \(-3xy+-1z+2ab=\) \item \(4yz+1z+4xyz+-2abc=\) \item \(4yz+-2y+9xy+-3ab=\) \item \(-8yz+3xy+-8xyz+-7bc=\) \item \(-8xz+9yz+3xy+-6abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 16. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-9km+5m+1n+1n=\) \item \(-7k+-7k+5km+5km=\) \item \(5km+8n+8n=\) \item \(7k+-8m+-8m=\) \item \(-3kn+5kmn+-2n+-2n=\) \item \(-7k+-9kn+-9kn=\) \item \(-6kmn+5mn+-9kmn+-5xz=\) \item \(-9k+6kn+6kn=\) \item \(9mn+9k+9k=\) \item \(6km+-2mn+-2mn=\) \item \(3kmn+9kn+8xy=\) \item \(6n+-2n+4kn+4kn=\) \item \(-4km+9kmn+-9m+-9m=\) \item \(-2n+9kmn+9abc=\) \item \(-6n+-1mn+-1mn=\) \item \(2kmn+7kmn+7kmn=\) \item \(7kn+3n+3n=\) \item \(3km+-6k+4n+4n=\) \item \(9m+-7mn+7km+7km=\) \item \(-9kmn+-8km+4mn+-8yz=\) \item \(-2kn+-1m+-1m=\) \item \(5kmn+6k+1km+1km=\) \item \(4n+2kmn+1y=\) \item \(4n+5kmn+-1km+-4kn+-4kn=\) \item \(-9km+-4n+-3y=\) \item \(-9km+-1mn+7mn+-1x=\) \item \(8mn+7k+6kn+6kn=\) \item \(8kmn+-7n+-6km+-2xy=\) \item \(1n+8kmn+1kn+1kn=\) \item \(7mn+-5kn+3kn+2xz=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 17. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(1y+6y+6y=\) \item \(-2xy+8y+2y+3xyz+3xyz=\) \item \(1xy+-1z+-1z=\) \item \(-5yz+6z+1x+4xy+4xy=\) \item \(3y+1xyz+7x=\) \item \(9xy+7x+8z+-4ac=\) \item \(5xy+-9xy+7z+7z=\) \item \(-6xy+6xy+5ab=\) \item \(-5xz+4z+4z=\) \item \(4y+6yz+6yz=\) \item \(-2y+-1z+-1z=\) \item \(-9z+-5xz+-5xy+-5z+-5z=\) \item \(-3z+-2xyz+-8xyz+-8xyz=\) \item \(7xy+-5xz+-5xz=\) \item \(7xyz+-6z+-3xy+-3xy=\) \item \(9x+-8xy+3ab=\) \item \(-3xy+-2z+-3abc=\) \item \(5z+-6y+9xy+9xy=\) \item \(-4x+3yz+8x+8x=\) \item \(8xy+9z+1x=\) \item \(-2xyz+-5x+-5x=\) \item \(5z+-5xz+3z+-6ac=\) \item \(-9xz+4z+4z+-8xy+-8xy=\) \item \(-4xy+9xz+3xyz+3xyz=\) \item \(-2xyz+-1xy+-2x=\) \item \(-9z+-2x+-2x=\) \item \(-4xyz+-5xz+9xyz+9xyz=\) \item \(8xyz+2z+-6yz+-4z=\) \item \(4y+-4yz+8bc=\) \item \(-7xy+5y+5y=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 17. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-8xy+-5x+2z=\) \item \(3y+5z+6yz+-6ac=\) \item \(4y+-7y+5z+5z=\) \item \(7yz+-9xyz+-9xyz=\) \item \(4xy+6x+-8yz+9bc=\) \item \(-1z+5z+-5xyz+1xyz+1xyz=\) \item \(-5yz+6yz+6yz=\) \item \(-1xy+-2xy+8abc=\) \item \(-8yz+-2xz+2xyz+-7ac=\) \item \(2y+-1z+9x+9x=\) \item \(6xz+-9xyz+-9xyz=\) \item \(-6z+-7z+-7z=\) \item \(9x+8xy+-3ab=\) \item \(-7y+-9x+-6xz+-6xz=\) \item \(7xy+-5yz+-6x+-2abc=\) \item \(9x+-9xyz+-9xyz=\) \item \(9x+1xy+4y+9yz+9yz=\) \item \(-8y+-5yz+4xyz+4bc=\) \item \(-5xz+5yz+4xyz+4xyz=\) \item \(-5yz+-9x+-9x=\) \item \(-4yz+1xz+9y=\) \item \(2x+-4y+-5bc=\) \item \(1xy+-1yz+-1yz=\) \item \(-8xz+4y+7ab=\) \item \(5xyz+-4z+-1xy+-1xy=\) \item \(9xyz+1xz+1xz=\) \item \(-3xyz+7z+7z=\) \item \(7z+-9yz+-9yz=\) \item \(-8xy+1xyz+1xyz=\) \item \(6yz+1z+1z=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 18. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-5yz+-3xyz+-3xyz=\) \item \(-2xyz+8xyz+8xyz=\) \item \(-2xyz+-6x+1y+1y=\) \item \(-2y+6x+5yz+5yz=\) \item \(-7xyz+7xz+-9ac=\) \item \(6z+8xy+-2xz+-2xz=\) \item \(9yz+-2x+-2x=\) \item \(9xyz+3yz+-8x+-8x=\) \item \(4xyz+8z+8z=\) \item \(1xy+-3z+-5bc=\) \item \(8xz+6xyz+-6z+-6z=\) \item \(7y+-8z+-5xz+-5xz=\) \item \(9xy+6x+-3xyz+-9x=\) \item \(-7xz+2xz+4x+-5x=\) \item \(-8xz+-2xz+-2xz=\) \item \(-3x+-5z+-5z=\) \item \(-7xz+5xyz+-1abc=\) \item \(-5xyz+4z+4z=\) \item \(2yz+6xyz+6xyz=\) \item \(8z+-6z+-9z+-9z=\) \item \(4xy+-3z+-3z=\) \item \(-3xyz+-7yz+4y+4y=\) \item \(1yz+-4xz+8xz+-9x=\) \item \(2x+-4xz+7xyz+4y+4y=\) \item \(7y+-1z+-1z=\) \item \(9y+-9y+-9y=\) \item \(1z+7xy+-9y=\) \item \(9yz+-9xyz+-9xyz=\) \item \(-9y+4xz+8x+2bc=\) \item \(2xz+-6xz+-8xy+-6z=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 20. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(6bc+-5abc+-8b+2bc+2bc=\) \item \(6ab+-4b+-4b=\) \item \(-9ab+7b+-2ac+-2ac=\) \item \(5bc+6bc+9c=\) \item \(-1c+-3bc+-2b+-2b=\) \item \(-1ac+-9b+3b=\) \item \(5c+-1bc+5ac=\) \item \(-5b+-2b+-2b=\) \item \(-7a+5ab+6ac+6ac=\) \item \(-2a+6bc+-6bc+5b=\) \item \(8bc+-7a+2c+2c=\) \item \(-4bc+-1b+5c=\) \item \(-3c+-3a+-3a=\) \item \(4ac+-7ab+-6b=\) \item \(2b+7c+-8c=\) \item \(-2ab+8a+8a=\) \item \(2ac+6ac+-2c=\) \item \(-5bc+9abc+3a+3a=\) \item \(-2b+7abc+3ab=\) \item \(-2ac+-5b+-6ab=\) \item \(4ac+-5abc+-4ac=\) \item \(-6ab+8ac+8ac=\) \item \(6ab+-2ac+7b=\) \item \(-4bc+9abc+2ac+2ac=\) \item \(-3ac+-6a+-6a=\) \item \(-4a+-3b+-3b=\) \item \(-6ab+5c+9b+8abc=\) \item \(4bc+9ac+7abc+6bc=\) \item \(-2abc+-5bc+-5bc=\) \item \(-8ab+8abc+8abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 20. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-7km+-9m+6xz=\) \item \(8kn+5km+1xy=\) \item \(-6mn+-7n+3k+3k=\) \item \(-2mn+-2kn+-6mn+-7z=\) \item \(7k+-9n+-8yz=\) \item \(3kmn+-1n+-1xy=\) \item \(-9kmn+-2k+-2k=\) \item \(8m+5n+2yz=\) \item \(-4n+4kmn+6k+9km+9km=\) \item \(2kn+-7km+-7km=\) \item \(3km+-1km+-4xy=\) \item \(3kmn+-3m+2x=\) \item \(-5kn+-7m+-7m=\) \item \(7kn+2k+2k=\) \item \(-2m+2kn+6z=\) \item \(-4kmn+-7kn+-9n+-9n=\) \item \(-3kn+4kn+4kn=\) \item \(-9k+1k+-6mn+-2x=\) \item \(8m+2mn+-7k+-7k=\) \item \(-5kn+1km+5kn+7z=\) \item \(5mn+-1k+-1k=\) \item \(-5n+4mn+9m+9m=\) \item \(4kn+1mn+1mn=\) \item \(-1n+1mn+7k+7k=\) \item \(-8mn+-6mn+-6mn=\) \item \(-5km+-4kmn+6kn+6kn=\) \item \(-5mn+3kn+3kn=\) \item \(-9kn+-8m+-9kmn+-9kmn=\) \item \(5kmn+-7km+8kmn+2kn+2kn=\) \item \(4mn+-3kmn+-3m+7xz=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 22. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-3b+-1ab+3b+6a=\) \item \(-9ac+-6ab+-6ab=\) \item \(-5a+-5ab+-5ab=\) \item \(-6b+6b+6b=\) \item \(-6ac+1c+-3ab+-3ab=\) \item \(-7b+7ac+7ac=\) \item \(8b+-1c+1a+-5abc=\) \item \(-1c+9bc+9bc=\) \item \(-3a+-7abc+-7abc=\) \item \(-6abc+5c+1b+1b=\) \item \(4abc+6ab+-6c+-3ac+-3ac=\) \item \(6bc+-1ab+2abc=\) \item \(-9a+-4ab+-4ab=\) \item \(2ac+-2ac+-2ac=\) \item \(-1c+3a+9a+9a=\) \item \(-6ac+-5bc+-3bc+9ac=\) \item \(-2c+-2b+-3bc+-2abc+-2abc=\) \item \(-1ab+-1ac+-1ac=\) \item \(2bc+4ab+-9bc=\) \item \(-3abc+-9ab+-9ab=\) \item \(5c+-6bc+-9abc+-4a=\) \item \(-9ac+4a+4a=\) \item \(8ab+1ac+1ac=\) \item \(9ac+-1abc+-4ac+-4ac=\) \item \(-2abc+-7c+1c+6b+6b=\) \item \(-5a+5a+5a=\) \item \(2b+-5ab+-5ab=\) \item \(-3a+-4ab+7abc+6ac=\) \item \(4a+8ac+-2b+-2b=\) \item \(9bc+-9c+8c+8c=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 22. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(9b+-1ac+-1ac=\) \item \(-6ab+1c+-8ab=\) \item \(7ab+9ac+9ac=\) \item \(-7a+-2a+-6abc+4ac+4ac=\) \item \(4ac+-5c+9ab+4c+4c=\) \item \(6a+-9bc+-9bc=\) \item \(3b+2abc+-9abc=\) \item \(2a+-5abc+8bc+8bc=\) \item \(-5ac+4ab+-6bc+8ac=\) \item \(-5ab+2abc+2abc=\) \item \(7abc+3ab+-6a+-4ab=\) \item \(-1c+3ac+6ac+6ac=\) \item \(1abc+-5c+6b+-6a=\) \item \(3c+-2abc+6abc=\) \item \(-4a+9ac+5ac=\) \item \(-6a+-6c+-7c=\) \item \(1ab+-3abc+5ac+5ac=\) \item \(6ac+5a+-1ab+-1ab=\) \item \(-6a+6ab+6ab=\) \item \(-1ab+5bc+3c+3c=\) \item \(1bc+8c+-8bc+-8bc=\) \item \(1ac+-2abc+7abc+2a+2a=\) \item \(7c+-2ab+5abc+5abc=\) \item \(6b+-2b+5a+5a=\) \item \(3ac+2c+7c+-3ab=\) \item \(-4abc+-1ac+8b+7a=\) \item \(-2b+5a+5a=\) \item \(-2a+-9a+6abc+6abc=\) \item \(7ab+9abc+9abc=\) \item \(4abc+-3ac+2a=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 24. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-9n+5m+4z=\) \item \(-5m+9k+-7k+-8yz=\) \item \(-4kn+-4m+2mn+2xz=\) \item \(-3kmn+4k+4k=\) \item \(1m+3mn+-4m+-4m=\) \item \(-2km+8n+8n=\) \item \(5n+9k+6k+6k=\) \item \(9kn+-5n+3k+7kmn+7kmn=\) \item \(-5m+-3n+6m+5yz=\) \item \(-3k+5km+-1kmn+-1kmn=\) \item \(-4k+-7n+-2y=\) \item \(5km+-7k+-7k=\) \item \(8kmn+-7k+9n+4kmn+4kmn=\) \item \(-7kn+6km+2km+2km=\) \item \(4m+8km+-1yz=\) \item \(1n+1kmn+1kmn=\) \item \(-8mn+-2kn+1mn+8k+8k=\) \item \(-4k+-8km+-8km=\) \item \(5mn+-5kmn+-5kmn=\) \item \(2kmn+-8k+4k+7n+7n=\) \item \(-5km+1k+-8n+-8n=\) \item \(-6kn+2kn+4kn+4kn=\) \item \(8n+-8mn+4kn+-1kn+-1kn=\) \item \(7kn+1n+1n=\) \item \(9mn+1kn+-1m+5mn+5mn=\) \item \(7mn+7kn+-8y=\) \item \(-7mn+-3m+-3m=\) \item \(2k+5m+3kn+-6y=\) \item \(-1kmn+-2kn+-1z=\) \item \(-6km+-9m+-4k+9xz=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 25. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-1c+-9bc+-9bc=\) \item \(-7b+-6abc+-1abc=\) \item \(-6abc+1abc+1abc=\) \item \(-4b+-9a+-7abc+-7abc=\) \item \(1a+3ab+3c=\) \item \(7abc+5bc+-6a+-6a=\) \item \(1c+-1c+-7bc=\) \item \(-8b+6ac+6ac=\) \item \(-7ac+-3bc+-2c+-2b=\) \item \(8abc+6abc+6abc=\) \item \(-4ab+4abc+4abc=\) \item \(6ab+9ac+2a+5abc=\) \item \(-8a+5abc+5abc=\) \item \(7ab+-5ac+-5ac=\) \item \(2a+-9a+-9ac+-9ac=\) \item \(7abc+7b+3bc=\) \item \(-7c+7b+-4ab+-4ab=\) \item \(-6bc+6c+-7ac=\) \item \(4a+5c+5c=\) \item \(-3ac+9ac+-1ab=\) \item \(-1ab+-8a+-3ac=\) \item \(-5bc+-2abc+-5bc=\) \item \(3bc+5c+1a=\) \item \(3bc+4a+9ac+-6a=\) \item \(5a+-3c+-2bc=\) \item \(-3c+-8b+9b+-1ab=\) \item \(2c+6ab+3ac+1abc+1abc=\) \item \(-9ab+2ab+-6bc+5b+5b=\) \item \(8abc+7ac+-3a+-3a=\) \item \(1ab+-7ac+-7ac=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 25. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-2a+1bc+3c+3c=\) \item \(5bc+9b+-9ac=\) \item \(-1ab+2b+2b=\) \item \(1ac+-3a+3ac=\) \item \(6abc+3bc+1bc=\) \item \(-5c+6b+-3bc=\) \item \(-6ab+4c+4c=\) \item \(-7bc+6b+4ab+4ab=\) \item \(-2b+7b+9ac+9c=\) \item \(-2bc+7abc+1ab=\) \item \(-5a+7a+7a=\) \item \(-4c+-7abc+7bc=\) \item \(2b+-3ac+2ac+6abc=\) \item \(-1abc+4ab+4ab=\) \item \(-9c+-9ab+-4b=\) \item \(-4a+-9a+-9a=\) \item \(6ac+8ab+-2c+3b=\) \item \(5abc+-8c+3bc+3bc=\) \item \(1c+1abc+-7ab+4abc=\) \item \(-1b+9b+9b=\) \item \(-1a+-1abc+6bc+8c=\) \item \(-6b+-4abc+-4abc=\) \item \(3b+6abc+-2abc=\) \item \(-1ab+8c+5ab=\) \item \(-6a+8ac+7ac+5c=\) \item \(-2bc+-8ab+-9a+1ac=\) \item \(-8ab+9abc+-9bc+9a=\) \item \(8c+-5b+1a=\) \item \(-6ab+2b+2b+2b=\) \item \(3c+-1b+-1b=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 26. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-3kn+8m+-1kmn+7kmn+7kmn=\) \item \(5m+-3mn+-4mn+-9m+-9m=\) \item \(-8m+8kmn+7xz=\) \item \(3kn+5km+6km+6km=\) \item \(4mn+7km+4km+4km=\) \item \(-8km+1kn+9m+-4yz=\) \item \(9k+2mn+-4km+-4km=\) \item \(6n+8m+-7m+6kn+6kn=\) \item \(-7kmn+2mn+2mn=\) \item \(-3kmn+-9m+-9m=\) \item \(-8kmn+-9km+5z=\) \item \(-9k+-4kn+-5km+-6z=\) \item \(3mn+9m+9m=\) \item \(4kn+-4mn+-4mn=\) \item \(-6kmn+-2n+-8z=\) \item \(-6km+-3kmn+-3kmn=\) \item \(3m+3kmn+3kmn=\) \item \(1km+-1m+-1m=\) \item \(7mn+7k+5kmn+5kmn=\) \item \(-6m+1kmn+2km+-5kn+-5kn=\) \item \(-2k+7n+7n=\) \item \(-5m+-2k+-9xy=\) \item \(3n+-7k+-7k=\) \item \(-5n+-2m+-2m=\) \item \(-4kn+-1m+-1m=\) \item \(3n+2kmn+2kmn=\) \item \(5km+-4mn+-4mn=\) \item \(5k+7m+-2k+-2k=\) \item \(-7kn+-7m+-7m=\) \item \(-8km+1km+-7x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 28. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-4abc+2ab+-9ab+-9ab=\) \item \(9c+9b+-7c=\) \item \(6ab+8b+8ac+8ac=\) \item \(4ac+4bc+1ab+1ab=\) \item \(-3abc+9ab+9ab=\) \item \(9ac+-7bc+-4ab+-4ab=\) \item \(-8ab+8abc+8abc=\) \item \(6ab+3a+6abc=\) \item \(-1a+-9bc+-7a+-7ab=\) \item \(-2c+-9ac+-6bc+-1ac+-1ac=\) \item \(-3abc+9bc+5a=\) \item \(8bc+-4c+5bc=\) \item \(8bc+-2a+-6c+2a+2a=\) \item \(5a+8c+8c=\) \item \(9abc+-2ac+-7ac+-7ac=\) \item \(9a+1b+1b=\) \item \(-6b+7bc+-7ac+-7ac=\) \item \(-1abc+3abc+2abc=\) \item \(-6bc+-5c+3a=\) \item \(4ac+-2b+4abc+6c+6c=\) \item \(-5b+-2a+-2a+4bc=\) \item \(-4bc+-8b+-8b=\) \item \(6b+-1a+6b=\) \item \(-5ac+-4a+3ab+3ab=\) \item \(-8bc+-9c+8ac+8ac=\) \item \(-4abc+-1b+-1b=\) \item \(-7b+-3ac+7ab=\) \item \(3c+-1bc+-5ab+-3ab=\) \item \(-1bc+-2b+9ab+4bc=\) \item \(6ac+-1ab+-4abc+-4abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 28. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(9bc+9abc+3b+3b=\) \item \(-2ac+-2b+5ab=\) \item \(1abc+-6bc+-9ac+-9ac=\) \item \(4bc+-6bc+-9ac+-9ac=\) \item \(5ac+9abc+9abc=\) \item \(2c+2abc+-7c=\) \item \(1b+-2ac+-2ac=\) \item \(3abc+-4ac+-5b+-5b=\) \item \(6bc+9ab+9ab=\) \item \(3ab+7ac+-8ab+-8ab=\) \item \(-3c+-8ac+6bc=\) \item \(3a+5a+4bc+-5c=\) \item \(5c+1abc+1abc=\) \item \(6c+-5b+7ac+7ac=\) \item \(-7a+2c+3b+3b=\) \item \(5ac+6ab+5abc+-6c=\) \item \(9ab+-2ab+-6b+-6b=\) \item \(7ac+4b+-6bc+-6bc=\) \item \(-7ab+9bc+9bc=\) \item \(2b+6ab+6ab=\) \item \(8c+2b+9ab+9ab=\) \item \(9c+3abc+-7a=\) \item \(-1abc+-6b+-6b=\) \item \(7abc+-7ac+-7ac=\) \item \(-2ab+6bc+6bc=\) \item \(-2bc+3bc+5bc+5bc=\) \item \(-8b+-7ab+5ac+5ac=\) \item \(-7c+-8ac+5a+5a=\) \item \(-1ab+-7ac+-6abc+-4a=\) \item \(-9a+8bc+8bc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 29. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(7kmn+5n+5kmn+5kmn=\) \item \(-1kn+5mn+3z=\) \item \(-3km+8km+8km=\) \item \(1mn+-7kmn+-7kmn=\) \item \(8m+-7m+-5mn+-5mn=\) \item \(6n+-3km+6m+6m=\) \item \(9m+1km+-9m+-9m=\) \item \(8kmn+9km+2y=\) \item \(-1n+5mn+5mn=\) \item \(9m+7m+7m=\) \item \(-5km+5k+-9yz=\) \item \(9m+6mn+8mn+8mn=\) \item \(2km+3mn+3mn=\) \item \(5k+-6n+-6n=\) \item \(4kmn+-8n+-5x=\) \item \(-5n+7kn+7kn=\) \item \(-2kmn+2kmn+1y=\) \item \(7n+-1mn+3k+-1kn+-1kn=\) \item \(-6km+5m+6km+6km=\) \item \(-5kn+9km+6mn+6mn=\) \item \(-4kn+9kmn+-1m+4xz=\) \item \(-4m+6k+5xz=\) \item \(7k+1km+1km=\) \item \(3mn+4mn+-7x=\) \item \(4km+7m+7m=\) \item \(4mn+6mn+6mn=\) \item \(3n+-4mn+-6m+5abc=\) \item \(6kmn+-4kn+7km+4xy=\) \item \(8mn+3m+2n+2n=\) \item \(1kn+-6mn+5m+5m=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 30. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(4a+-3a+3c+-1bc=\) \item \(-9b+-4b+2a+-3abc=\) \item \(5b+-4c+-9c+3bc=\) \item \(-8a+-2c+-2c=\) \item \(9bc+-3bc+9a+1b=\) \item \(-9bc+-9ac+-2bc=\) \item \(8abc+4a+-4bc+-4bc=\) \item \(-6abc+8ab+3a+5c=\) \item \(3b+-4c+2b=\) \item \(-9ab+-9a+-9b+-9b=\) \item \(-7b+2ac+2ac=\) \item \(-9ab+-3ab+-6ac+-6ac=\) \item \(5b+4abc+2ab=\) \item \(-5a+-6b+-4ac+1ac+1ac=\) \item \(5ac+-9bc+-2bc+-2bc=\) \item \(-2ab+-4bc+7a+1abc+1abc=\) \item \(-8a+4ac+4ac=\) \item \(3ac+3ab+8bc=\) \item \(5bc+-8abc+-8abc=\) \item \(8bc+1abc+1abc=\) \item \(-2bc+9abc+4a+4a=\) \item \(5a+-4abc+7ab=\) \item \(-9a+-8ac+-8ac=\) \item \(-3a+3a+3a=\) \item \(5bc+-7abc+-7abc=\) \item \(3abc+-8abc+-3ac=\) \item \(1a+2c+2c=\) \item \(5b+3b+4a+-1a+-1a=\) \item \(3a+-9bc+3ac+8abc+8abc=\) \item \(-4abc+-8ac+9ac=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 32. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(9bc+9a+-8ac+-3ab+-3ab=\) \item \(-3abc+6abc+-4ac+-2abc+-2abc=\) \item \(3bc+9abc+-6b+5b=\) \item \(3ac+-3b+7ac=\) \item \(3ab+-5ac+-5ac=\) \item \(9ac+2bc+-5bc=\) \item \(8a+5ac+5ac=\) \item \(3ab+7abc+9bc+9bc=\) \item \(-7bc+8b+8b=\) \item \(1abc+3abc+-3ac+-3ac=\) \item \(4ac+5a+5a=\) \item \(-3abc+-2bc+5bc+5bc=\) \item \(-7abc+1ac+1ac=\) \item \(-5a+-8bc+-8bc=\) \item \(3c+-2a+-2bc+-2bc=\) \item \(5bc+4ab+6bc=\) \item \(-4ab+-7ab+5c+-7c=\) \item \(5b+-6b+-6b=\) \item \(-5abc+-6ab+8ab+-9abc+-9abc=\) \item \(5a+8a+8bc+8bc=\) \item \(-1ab+-8c+-4bc+-7c=\) \item \(8a+8bc+-1b=\) \item \(7c+4a+-1c+-1c=\) \item \(9c+7c+-4ab+-8b=\) \item \(-5b+-9bc+-9bc=\) \item \(5a+3b+3b=\) \item \(5abc+-2c+-2c=\) \item \(4ac+4ac+4c=\) \item \(-6b+5b+5b=\) \item \(-4ab+-1abc+-1abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 32. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-9km+-3kmn+9xz=\) \item \(6km+-9k+-3n+-3n=\) \item \(-4mn+-7kn+3m+7m+7m=\) \item \(6m+3kmn+3kmn=\) \item \(8mn+8n+-5m+-5m=\) \item \(2km+-2km+-1m+-9x=\) \item \(-7k+5kmn+5kmn=\) \item \(5km+2km+7x=\) \item \(8kmn+9k+9y=\) \item \(-7kn+-2kn+1abc=\) \item \(7km+-5k+7abc=\) \item \(-2n+-7kn+1x=\) \item \(-9kmn+-7mn+2n+2n=\) \item \(-2kmn+7k+3kn+-2xy=\) \item \(1n+-9km+-5y=\) \item \(-8n+5km+3m+3yz=\) \item \(-9m+-3k+8km+-7abc=\) \item \(-5m+2kmn+8km+-4yz=\) \item \(8n+5mn+5mn=\) \item \(-7kmn+6km+6km=\) \item \(-9km+1kn+9n+9n=\) \item \(6m+-7m+-7yz=\) \item \(7n+-2mn+-7xz=\) \item \(-9m+-6km+7km+1k+1k=\) \item \(-5m+-1kn+-9yz=\) \item \(-6n+-1kn+-1kn=\) \item \(-9m+-3mn+6km+-1z=\) \item \(-1k+-1k+-1k=\) \item \(-5k+-8kmn+-9km+-9km=\) \item \(9mn+9m+5n+-2xz=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 34. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(7x+8y+-3xy+-3xy=\) \item \(3xyz+-5x+-7x=\) \item \(-5y+-1y+-1y=\) \item \(-7z+-9xy+1xz+9x=\) \item \(6x+-7yz+-6xz+-6xz=\) \item \(-5y+-8xyz+-1ab=\) \item \(6xy+2xy+-6abc=\) \item \(2z+5yz+9x+9x=\) \item \(4xyz+8xy+7x+-8y+-8y=\) \item \(7x+-2xy+3z+3z=\) \item \(9xz+-8x+8x+8x=\) \item \(2xy+6y+6y=\) \item \(-6xyz+-5z+-5z=\) \item \(-3x+2xz+4xyz+4xyz=\) \item \(-3z+3y+-6xz+-6xz=\) \item \(8y+-5y+-5y=\) \item \(8y+-6xz+-7bc=\) \item \(-7xy+-1x+7z+7z=\) \item \(-1y+-8x+-8x=\) \item \(1xyz+-6x+-6x=\) \item \(9yz+9xz+3y+3y=\) \item \(6xyz+-8yz+-8yz=\) \item \(-6y+-3xyz+5y+5y=\) \item \(4xy+-4xyz+-4xyz=\) \item \(1xyz+-6x+8xyz+-5z=\) \item \(-3xyz+-7xz+-6x+-3y=\) \item \(3x+5x+-6x+1bc=\) \item \(8y+-9yz+-8ac=\) \item \(-5z+6xz+6xz=\) \item \(9y+-4z+-7xyz+-7xyz=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 34. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(5k+1km+1km=\) \item \(8k+2kmn+5kmn+-6y=\) \item \(1kn+-1mn+-1mn=\) \item \(-7kn+-7m+1xz=\) \item \(-5kn+3kn+1kmn+1kmn=\) \item \(-6kn+9m+6k+5y=\) \item \(-8mn+3kn+-5xz=\) \item \(5km+-7km+-7km=\) \item \(-5kmn+1km+-7kmn+-7kmn=\) \item \(2km+1km+7km+7km=\) \item \(1m+-2mn+-7yz=\) \item \(-2kn+2mn+-6k+-6k=\) \item \(8kn+8kmn+6n+6n=\) \item \(8n+-5n+6yz=\) \item \(9kn+7mn+7mn=\) \item \(7k+-1mn+-1mn=\) \item \(9m+-2m+-2m=\) \item \(-2mn+4k+-7y=\) \item \(4m+6mn+6abc=\) \item \(-8k+-2kn+-3m+-1yz=\) \item \(-2k+4mn+4mn=\) \item \(3k+-9k+-9k=\) \item \(-4m+6m+-1y=\) \item \(-5k+7mn+9m+-5z=\) \item \(-7m+1mn+1mn=\) \item \(-4kmn+2k+2k=\) \item \(1k+-7km+-7km=\) \item \(-3m+3m+-4mn+9kmn+9kmn=\) \item \(-3n+-6kn+-1mn+-1mn=\) \item \(-5mn+7kmn+1x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 36. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(5z+-4y+-1x+1y=\) \item \(4xyz+-7z+-7z=\) \item \(4yz+3xy+3xy=\) \item \(3x+-7x+-3bc=\) \item \(-3xy+1yz+-4xy+-3ab=\) \item \(9z+5xz+-4xyz+-6ab=\) \item \(6z+-8xz+-4xz+-4xz=\) \item \(-2xz+-6xy+-6xy=\) \item \(1z+5xy+-2y=\) \item \(8z+4xyz+4xyz=\) \item \(-5x+6yz+6yz=\) \item \(7z+5z+5z=\) \item \(-2xy+4y+4y=\) \item \(7x+-4y+2y=\) \item \(2z+1z+-8ab=\) \item \(-7z+7xy+3ab=\) \item \(-4yz+-8x+-8x=\) \item \(2y+1xyz+-6xz+2bc=\) \item \(8xy+-2y+-2y=\) \item \(5x+6z+-8x=\) \item \(9y+-8x+-6y+-6y=\) \item \(3y+-6y+-8z+-8z=\) \item \(9z+9x+3y=\) \item \(2yz+4xyz+7z+-5ab=\) \item \(3xy+-2z+-4abc=\) \item \(8xz+9x+9x=\) \item \(-9yz+-5z+-4xyz+5abc=\) \item \(-1y+7x+4y=\) \item \(4xz+3xy+3xy=\) \item \(-9y+-6z+-6z=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 36. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-3km+-2n+4x=\) \item \(-9km+3n+9kn+5xz=\) \item \(4km+-6m+-6m+-6m=\) \item \(9kmn+1mn+6y=\) \item \(6m+7km+7km=\) \item \(-7k+1n+9kn+9kn=\) \item \(-3k+9n+1yz=\) \item \(2k+-8km+-1kmn+-1kmn=\) \item \(-8km+8n+8n=\) \item \(1m+-7kmn+-7kmn=\) \item \(6k+-2m+-2m=\) \item \(-5m+1mn+-6z=\) \item \(-1mn+8n+8n=\) \item \(1mn+-3k+-6y=\) \item \(3mn+-6k+-4kmn+-4kmn=\) \item \(2n+-8km+-4m+-4m=\) \item \(-6kn+2kmn+4x=\) \item \(-8n+4kmn+4kmn=\) \item \(5m+-9mn+4k+4k=\) \item \(1n+5k+5kn+-8y=\) \item \(-1n+-3mn+6z=\) \item \(1k+-6mn+-1n+-8km+-8km=\) \item \(8m+8k+3kn+3kn=\) \item \(-7n+3k+4km+-3abc=\) \item \(6kmn+3kmn+3kmn=\) \item \(-3mn+-3kmn+-3kmn=\) \item \(-2mn+6n+-5km+-5km=\) \item \(-6kmn+8kmn+8kmn=\) \item \(1mn+2k+-2xy=\) \item \(7k+-5kn+2z=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 38. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(8abc+1abc+3ac+3ac=\) \item \(2b+1ac+1ac=\) \item \(-3a+4b+-3c+-3c=\) \item \(4bc+6a+-7a+-5ac=\) \item \(8ab+5c+5c=\) \item \(-5ab+-4abc+-4abc=\) \item \(6abc+-7b+-7b=\) \item \(-6ab+-9ac+-9ac=\) \item \(4b+3ac+1c+1c=\) \item \(-9abc+1bc+1bc=\) \item \(-2c+6b+-1ab+6a+6a=\) \item \(-8ac+7b+7b=\) \item \(-9abc+5ac+4ac+-6b+-6b=\) \item \(-1c+-4ab+-4ab=\) \item \(-9ab+-5a+-5a=\) \item \(-8c+-8c+-8c=\) \item \(9abc+-8abc+-4b=\) \item \(5ab+3c+3c=\) \item \(-7ac+9ab+9ab=\) \item \(-4b+-5a+-6c=\) \item \(9ab+1bc+1bc=\) \item \(-6ac+-5abc+2bc+2bc=\) \item \(-8ab+-8a+-8a=\) \item \(-7ab+1ac+1ac=\) \item \(-3ac+7ab+7ab=\) \item \(-7c+8a+8a=\) \item \(6bc+1b+2abc+6c+6c=\) \item \(-6c+-8a+-8a=\) \item \(-8ac+-2a+-3ab=\) \item \(7c+2ab+-5abc+-3bc+-3bc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 38. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(6b+6ac+-6ab=\) \item \(-8b+2abc+2abc=\) \item \(5b+-2abc+-8a=\) \item \(-7abc+2ac+5c+5c=\) \item \(-9c+-8a+-8a=\) \item \(9abc+-3b+-7c=\) \item \(-6a+-5ac+-3abc=\) \item \(6abc+5ac+5ac=\) \item \(-9c+-1abc+-7ab+-7ab=\) \item \(-5c+3abc+3abc=\) \item \(7ac+-9c+-4abc+2b=\) \item \(-1abc+-4abc+-3bc=\) \item \(4ab+-9ac+-3c+-3c=\) \item \(7b+6a+6a=\) \item \(4ac+9ac+-8bc+-6ab+-6ab=\) \item \(6ac+8bc+7b+7b=\) \item \(-5b+-7ab+8abc=\) \item \(2c+-2abc+-6a=\) \item \(6b+-5a+-5bc+4b=\) \item \(3abc+8c+8a+-8abc+-8abc=\) \item \(1a+-2abc+-2abc=\) \item \(4b+7ac+-5bc=\) \item \(7a+6ab+6ab=\) \item \(7bc+6ab+7c=\) \item \(5ac+-1b+1ab+5c+5c=\) \item \(4a+5bc+-2b=\) \item \(2ab+-9c+-9c=\) \item \(-3bc+-2c+-2c=\) \item \(4ab+8b+6bc=\) \item \(-9b+9a+9a=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 39. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-2mn+3kn+3kn=\) \item \(-5mn+-2m+-2m=\) \item \(-5kn+-4kn+3n+7abc=\) \item \(-6n+-1kmn+3abc=\) \item \(-7n+7kn+6n+5abc=\) \item \(6kmn+-3mn+-1km+-1km=\) \item \(4k+-2mn+-2mn=\) \item \(4kmn+7m+-4km+-4km=\) \item \(-5km+-9km+-9km=\) \item \(6n+-3mn+-6kmn+-8kn+-8kn=\) \item \(9km+4k+-3mn+7xz=\) \item \(4m+2m+-1kmn+4mn+4mn=\) \item \(-5kn+5kmn+-5k+2z=\) \item \(-5kmn+-6kn+-2kn+-2kn=\) \item \(-6k+9kmn+-6k+-6k=\) \item \(4n+-8k+-1k+5kmn+5kmn=\) \item \(3kmn+-4mn+-9n+-9n=\) \item \(-3kn+-2kmn+-6mn+-7kmn+-7kmn=\) \item \(-2n+2mn+2mn=\) \item \(-1n+-1n+-1n=\) \item \(1km+5kn+8k+-7mn+-7mn=\) \item \(-9kmn+9m+-7xz=\) \item \(9k+3k+-1kmn+2abc=\) \item \(-5mn+-9m+-5x=\) \item \(-7kn+7mn+5yz=\) \item \(-6m+-7kmn+-7kmn=\) \item \(2m+-8k+-1abc=\) \item \(1kn+6m+6m=\) \item \(5n+9m+9m=\) \item \(9kn+-9kmn+8m+4abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 41. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-9kmn+8n+8n=\) \item \(8n+7km+9n+9n=\) \item \(1n+-9m+-6n+-6kmn+-6kmn=\) \item \(3m+-8n+-8n=\) \item \(-4mn+7m+7m=\) \item \(-2m+-9n+-9n=\) \item \(2kn+3mn+3mn=\) \item \(-2k+-5k+-8mn+-3xy=\) \item \(-6kmn+-7m+-1abc=\) \item \(2km+1k+1k=\) \item \(-1n+2k+-1m+2abc=\) \item \(-4m+6mn+6yz=\) \item \(-4n+5kmn+-5y=\) \item \(-5kmn+-7n+7kn+7kmn+7kmn=\) \item \(-9kn+5mn+4m+1mn+1mn=\) \item \(-6kn+5mn+-7mn+1z=\) \item \(1mn+9k+-1k+-1k=\) \item \(7km+6kmn+6kmn=\) \item \(-9kmn+8n+-8kmn+-8kmn=\) \item \(1m+5km+-6kn+-9km+-9km=\) \item \(-3km+-5kmn+1x=\) \item \(5kn+8km+9mn+-4km+-4km=\) \item \(8m+-4m+-2k+-2k=\) \item \(-5k+2kmn+2kmn=\) \item \(4kn+-2kn+-3mn+-3mn=\) \item \(-8kn+9kn+8xz=\) \item \(7n+7k+7k=\) \item \(4kn+6m+9km+9km=\) \item \(2kn+-7m+-9kmn+9n+9n=\) \item \(2kmn+-2m+-8km+-8km=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 41. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-4xyz+-9xy+-9xy=\) \item \(-1xz+-2xyz+7abc=\) \item \(5yz+-8xyz+6y=\) \item \(5x+8xz+-6bc=\) \item \(8y+7yz+1ab=\) \item \(1xyz+-7xz+-6y=\) \item \(-3xy+-7yz+-3xy+5xy+5xy=\) \item \(-2yz+-1xz+-1xz=\) \item \(-5x+-9z+-9z=\) \item \(6z+7z+9x+9x=\) \item \(5yz+-3xyz+-3xyz=\) \item \(-6yz+1x+1x=\) \item \(-8xyz+7xy+7xy=\) \item \(8xz+2x+-4y+-4y=\) \item \(-4xy+7x+7x=\) \item \(7yz+-7x+2x=\) \item \(-1x+1y+-1xyz+-1xyz=\) \item \(2xyz+-5x+-1z+-1z=\) \item \(-9xz+-6x+-6x=\) \item \(-5z+-9xy+4bc=\) \item \(5z+9x+9x=\) \item \(-1z+3x+8z+8z=\) \item \(-8yz+-6xy+-9z=\) \item \(4x+-9x+-9x=\) \item \(5xyz+-7y+-7y=\) \item \(-5yz+-7x+-8xyz+-8xyz=\) \item \(-9xz+3y+3yz+3yz=\) \item \(4xy+1xz+-5abc=\) \item \(8xyz+5x+5x=\) \item \(-8xz+9xyz+-2ab=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 43. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-3x+1x+1x=\) \item \(-8xy+-5x+8yz+8yz=\) \item \(8xz+-8yz+-8yz=\) \item \(9xy+-1xy+-5xz+-5xz=\) \item \(-3xyz+7xyz+7xyz=\) \item \(2y+-2xy+9y+9y=\) \item \(-5x+-4xy+-6xyz+1bc=\) \item \(2z+5y+5y=\) \item \(-9xyz+-6y+-6y=\) \item \(-3xz+-6y+-6y=\) \item \(-6xy+-8z+-8z=\) \item \(-8x+-5xz+4ac=\) \item \(-7xy+-6y+3yz+5bc=\) \item \(-8xz+4y+-9z+-9z=\) \item \(-9xz+-8xy+-8xy=\) \item \(-9xz+7xz+-2z=\) \item \(9xz+8x+8x=\) \item \(7xz+-7xyz+-7xyz=\) \item \(-7x+2z+2z=\) \item \(-4xy+-3yz+-4y=\) \item \(-2x+-7yz+-7yz=\) \item \(6xy+-1xz+3yz+-6y=\) \item \(6xyz+-6x+-6x=\) \item \(-2y+1x+6z+-4xz+-4xz=\) \item \(-7y+-7z+-7z=\) \item \(-5y+3xy+2yz+7xy+7xy=\) \item \(-1z+6z+9x=\) \item \(8xz+9yz+-6x=\) \item \(2x+9y+3z+3z=\) \item \(-5x+-6z+-6z=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 43. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(5bc+-5a+3ac=\) \item \(5b+8b+8c+8c=\) \item \(-7ab+1c+-6a+2ab+2ab=\) \item \(-3ac+9ac+9ac=\) \item \(1c+-8c+-8c=\) \item \(-5bc+-7bc+-2ab+-2abc=\) \item \(2c+1a+5a+5a=\) \item \(6bc+1abc+-3bc+-8ac=\) \item \(-5ab+8b+4b=\) \item \(-5bc+4bc+4bc=\) \item \(4c+5ac+-7ac+1a+1a=\) \item \(-5ab+7bc+5ac+-4bc=\) \item \(1ab+1bc+-5c+-5c=\) \item \(-6ab+-4bc+5a+4abc+4abc=\) \item \(7a+4bc+-2abc=\) \item \(-7ac+-5b+-5b=\) \item \(-4ac+-4ac+-4ac=\) \item \(-9ab+-3ac+-5c+1ac=\) \item \(6ab+2bc+3ab+3ab=\) \item \(-3a+-8ac+-7ab=\) \item \(1abc+1b+1b=\) \item \(3b+-1ac+-7c=\) \item \(7ac+-2bc+1a=\) \item \(5ab+-3b+-1c+-1c=\) \item \(6ab+-3ac+2bc+-8ab=\) \item \(8c+9b+3abc+3abc=\) \item \(2a+4ac+4ac=\) \item \(-2abc+-7a+2ac+2ac=\) \item \(5b+2bc+2bc=\) \item \(8ab+8ac+4c=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 45. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(5b+-9ac+8ac+8ac=\) \item \(2a+-3b+-4b+-4b=\) \item \(4a+1c+8ab=\) \item \(-5ac+5b+4c=\) \item \(3ab+-4c+-4c=\) \item \(9a+-9a+-9a=\) \item \(8ac+6ac+6ac=\) \item \(7ac+4a+3ab+-3ab=\) \item \(-5ab+-7bc+5c+5c=\) \item \(-5a+2bc+2bc=\) \item \(-5b+-1ab+-1ab=\) \item \(6ab+7c+7c=\) \item \(9b+-6bc+-9bc=\) \item \(2abc+-3c+7bc+7bc=\) \item \(2b+5c+3ac+1ac=\) \item \(-2abc+9c+-2ac+7ac=\) \item \(4a+-5bc+-5bc=\) \item \(-7a+-6bc+-7abc+-3bc+-3bc=\) \item \(2c+9abc+-4bc+-2abc+-2abc=\) \item \(-2c+-3c+-7ab+-2b=\) \item \(-3c+3c+4c=\) \item \(-4ac+9ab+9ab=\) \item \(9bc+-2a+-2c+7ac=\) \item \(3b+5c+8a=\) \item \(-2ac+8abc+8abc=\) \item \(-6b+6abc+-3ac+-3ac=\) \item \(1c+4b+4b=\) \item \(6abc+-9abc+5c+5c=\) \item \(-9ab+-2ac+3a+-7ab=\) \item \(6c+7b+7b=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 45. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-3bc+9ac+-9abc+-5abc+-5abc=\) \item \(-1c+-4b+-4b=\) \item \(-4ab+-8bc+-4ac+-6ac=\) \item \(-3bc+-3c+-3c=\) \item \(-2bc+3a+9ac+-6c=\) \item \(-4c+-8c+-8c=\) \item \(-4ac+7abc+7bc=\) \item \(5c+-2bc+-2bc=\) \item \(-7ac+-9ac+-9ac=\) \item \(3bc+1c+-2bc+-2bc=\) \item \(-5ab+9abc+-5bc+-8a+-8a=\) \item \(6b+-2bc+5abc+-5ac=\) \item \(-3ab+-7c+-7c=\) \item \(3c+-6bc+-7abc+-9b+-9b=\) \item \(1a+-6abc+-8abc+8b=\) \item \(9a+-5b+-5b=\) \item \(4bc+-5b+7a=\) \item \(-1ac+-3ab+5abc+5abc=\) \item \(-2a+-9ac+-9ac=\) \item \(-9ac+-7abc+-7abc=\) \item \(-6c+2ab+2ab=\) \item \(6bc+7c+-2c+-2c=\) \item \(-1ab+-5a+4ab=\) \item \(-7a+1c+8bc+-7bc=\) \item \(-5bc+-2ac+-6bc=\) \item \(-7c+-8abc+2ac=\) \item \(1ac+1c+8bc=\) \item \(-7bc+-4c+-5ac+-5ac=\) \item \(-9bc+-2b+8ab=\) \item \(9b+-2b+-1abc+-1abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 46. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(4m+4mn+4km+2yz=\) \item \(-8m+3k+-7z=\) \item \(9kn+-5km+-5km=\) \item \(-3km+9m+9m=\) \item \(-5m+8kn+-4xz=\) \item \(5m+-7km+-7km=\) \item \(-1kn+1n+6yz=\) \item \(-4m+7km+-6xy=\) \item \(-6kn+-7km+-3m+-3m=\) \item \(-7k+5kn+5kn=\) \item \(3km+2mn+-2xy=\) \item \(4kmn+8km+1km+-3x=\) \item \(-5m+-1mn+-7n+-7n=\) \item \(7km+-6km+-5kn+1n+1n=\) \item \(3n+6km+-7m+-1abc=\) \item \(2m+-4n+9n+-9kmn+-9kmn=\) \item \(-8k+-3kn+-3kn=\) \item \(-8kn+1k+3abc=\) \item \(-5m+-1n+-4x=\) \item \(-8kn+-7n+-7n=\) \item \(7km+-9kn+-9kn=\) \item \(6km+-7km+9km+-3z=\) \item \(9kmn+8kn+-6y=\) \item \(-6k+-4mn+7n+2m+2m=\) \item \(6km+-4kmn+-1mn+-6yz=\) \item \(-5kn+5m+9kn+7z=\) \item \(3n+3kn+7n+7n=\) \item \(-3n+2km+9mn+9mn=\) \item \(-7km+-6km+-4k+-4k=\) \item \(-4km+6n+-8k+-8k=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 47. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-3bc+-8b+-8b=\) \item \(-6ab+2a+2a=\) \item \(-1b+-9b+8abc=\) \item \(6b+7ac+-5abc+-5abc=\) \item \(-7a+-5b+-5b=\) \item \(2ac+9b+1c+-7ab=\) \item \(8a+-3abc+-9c+-7a+-7a=\) \item \(1abc+9abc+8ac+-1ac=\) \item \(9bc+-4abc+4b=\) \item \(-8ac+3ab+-7bc+-7bc=\) \item \(8ac+-2b+-2b=\) \item \(-2ac+3a+-8b+-8b=\) \item \(-4abc+-4abc+2ab+2ab=\) \item \(7ab+6bc+6bc=\) \item \(-8c+8c+8c=\) \item \(-4bc+5ab+5ab=\) \item \(-1abc+-1c+-1c=\) \item \(7bc+8abc+6c=\) \item \(9abc+9bc+8a+8a=\) \item \(2abc+-6ab+-8c+-1a+-1a=\) \item \(3abc+-8c+-8c=\) \item \(-8ac+9ab+3a+3a=\) \item \(-5bc+2ab+2ab=\) \item \(4abc+4a+-9b=\) \item \(3a+-9b+-3bc=\) \item \(-7ac+-7ac+8ab+8ab=\) \item \(-3ac+1c+1c=\) \item \(6b+7a+7a=\) \item \(3c+-1abc+-1abc=\) \item \(5abc+5bc+5abc+5abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 48. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(1y+2y+5xyz+-3abc=\) \item \(6x+-1xyz+8xyz+6xz+6xz=\) \item \(-8yz+-6xyz+-6xyz=\) \item \(-3xy+2z+2z=\) \item \(-2yz+8xz+-4x=\) \item \(-9y+-4x+9xyz+-8ac=\) \item \(8z+-4xyz+-4xyz=\) \item \(2x+6yz+6yz=\) \item \(-5xy+6x+4xyz+1x+1x=\) \item \(2yz+2z+2z=\) \item \(6x+-9xy+-3bc=\) \item \(-5xy+-6z+-8z+-8z=\) \item \(8yz+-1x+-2xyz+1x+1x=\) \item \(-5z+-8z+6x=\) \item \(2y+-5y+-5y=\) \item \(6xz+2xyz+-3xy+-3xy=\) \item \(-3y+8x+-6bc=\) \item \(-1xy+8yz+8yz=\) \item \(6x+8xyz+5z=\) \item \(-9x+-6x+5bc=\) \item \(-1yz+7xz+5bc=\) \item \(-2xy+-4x+-4x=\) \item \(7y+-1z+8y=\) \item \(2y+-5x+-5x=\) \item \(-2xz+-1y+-1y=\) \item \(7xy+7xy+-4yz+-4abc=\) \item \(3y+6xy+6xy=\) \item \(-9x+-7xyz+9y+9y=\) \item \(7xyz+-6xz+-6xz=\) \item \(-6xyz+-3xyz+-5xz+8z=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 50. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-9m+-3kmn+7k+7k=\) \item \(8m+-8m+-2z=\) \item \(-4km+-4k+-4k=\) \item \(6kn+-9mn+8m+-4yz=\) \item \(7kn+6km+6km=\) \item \(3km+2kn+-5k+5x=\) \item \(-2m+-9n+-9k+-9k=\) \item \(1kn+-7mn+8km+8km=\) \item \(-3kmn+-9km+9k+9k=\) \item \(-6kn+9m+-3k+-7abc=\) \item \(5k+-9kn+7y=\) \item \(-5km+-6n+-6n=\) \item \(-6kn+-9km+-1mn+4xz=\) \item \(-9n+-3mn+-3mn=\) \item \(7km+5m+5m=\) \item \(5n+2k+2k=\) \item \(9kmn+3mn+-8xz=\) \item \(-3km+2n+-8mn+-8mn=\) \item \(-9kmn+9km+6x=\) \item \(2kn+-8kn+-8kn=\) \item \(-4k+2n+2km+1xy=\) \item \(-3mn+-6n+-6n=\) \item \(6k+-5kmn+6k+6k=\) \item \(-7kn+-2n+-9abc=\) \item \(2mn+-8mn+1m+-4xy=\) \item \(9m+-6kmn+4mn+4mn=\) \item \(7n+6k+6z=\) \item \(2kn+-6km+9m+9m=\) \item \(-3n+-6n+7n+7n=\) \item \(-2km+5k+2x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 51. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-9kmn+3n+8k+8k=\) \item \(-5mn+-4mn+2kmn+2kmn=\) \item \(2n+6k+9m+-2yz=\) \item \(9m+-4k+-5k+-5x=\) \item \(7kn+-5mn+-7xy=\) \item \(-3mn+6km+6km=\) \item \(7kn+-5mn+2n+2n=\) \item \(3m+1mn+1mn=\) \item \(9kn+5mn+9y=\) \item \(6km+-2kn+-9abc=\) \item \(-5km+-2kmn+-5km+-5km=\) \item \(-6km+-6kmn+-1mn+-1mn=\) \item \(9kmn+-3kmn+-3kmn=\) \item \(2kn+1kn+1kn=\) \item \(9kn+-9km+-9km=\) \item \(-4kn+7n+-1k+-1k=\) \item \(-4mn+-5k+2k+2k=\) \item \(-3k+2m+2m=\) \item \(-9m+8kn+8kn=\) \item \(-7k+-9kmn+-9kmn=\) \item \(4kmn+-8kn+-8kn=\) \item \(-8n+8k+3kn+9x=\) \item \(-1mn+1kn+-6y=\) \item \(-4kmn+7kn+2yz=\) \item \(-6km+6mn+-2kmn+1k+1k=\) \item \(4kn+-9kn+7km+-8k+-8k=\) \item \(-3kn+6kn+6kn=\) \item \(9km+6n+-3n+-3n=\) \item \(-8kn+5km+5km=\) \item \(7kmn+4k+-3kmn+-5kn+-5kn=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 51. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(6ac+4ac+-1ab+-1ab=\) \item \(1abc+4a+9c+-2ab+-2ab=\) \item \(9abc+9bc+9bc=\) \item \(-7a+-5bc+-5bc=\) \item \(6a+1bc+5bc+-3b+-3b=\) \item \(-1ac+9ac+1ab=\) \item \(-3bc+-4ab+-4ab=\) \item \(-9abc+8ab+8ab=\) \item \(-8ab+6b+-6bc+-1b=\) \item \(-2abc+-9bc+6a+1ac=\) \item \(-4ab+-8ab+2abc+2abc=\) \item \(-2ac+1ac+4c+-9a+-9a=\) \item \(-7abc+-7abc+-7abc=\) \item \(-6bc+-2abc+-8bc=\) \item \(1ab+5ac+-1ac+6c+6c=\) \item \(5a+1bc+-1ab=\) \item \(-7ab+1ab+-7bc=\) \item \(6ac+-4abc+4abc+4abc=\) \item \(3bc+6a+5c=\) \item \(-8abc+-4a+-8a+-8a=\) \item \(-1bc+-7ab+-7ab=\) \item \(-9ab+5a+5a=\) \item \(-4a+-3abc+-3abc=\) \item \(-1a+-7b+1abc+1abc=\) \item \(-4b+4ac+-8abc=\) \item \(-8abc+2c+1ab=\) \item \(-7ac+1abc+1abc=\) \item \(-2a+-9bc+8ac=\) \item \(-3ac+-3a+-3a=\) \item \(5a+-6bc+1ac+1ac=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 52. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-1n+7mn+5m+5m=\) \item \(-9km+-4mn+-7mn+-7mn=\) \item \(-5mn+8kn+9x=\) \item \(2m+2k+2kmn+-9x=\) \item \(8n+5k+3n+-3xz=\) \item \(-8m+-4kn+-4kn=\) \item \(6kn+-2k+9kn+1xz=\) \item \(-7k+-3m+-3m=\) \item \(-1km+-2km+6k+7yz=\) \item \(1k+-6n+-9k+-9k=\) \item \(7k+2n+-7kmn+-3xz=\) \item \(7k+2m+-1n+7xy=\) \item \(6kn+-2kn+-5xz=\) \item \(-3mn+5k+4k+-2y=\) \item \(3k+6kmn+-1x=\) \item \(9mn+-1n+-8n+5x=\) \item \(-4n+8k+8k=\) \item \(-4m+7n+-9mn+-9mn=\) \item \(-3kmn+-8km+-8km=\) \item \(9km+-8kn+5kn+5kn=\) \item \(-7kn+2mn+5n+5n=\) \item \(-7mn+-4mn+-5y=\) \item \(-8km+-6m+-6m=\) \item \(-7n+1kn+8m+9kmn+9kmn=\) \item \(-1m+-2mn+-9m+6n+6n=\) \item \(6km+-3kmn+3kn+5yz=\) \item \(8kn+-7n+-1kmn+-1kmn=\) \item \(-8kn+7km+7km=\) \item \(-4km+-3mn+2kn+-9z=\) \item \(-2kmn+-9k+2x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 54. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-2n+3k+9n+-6z=\) \item \(3k+-8n+1abc=\) \item \(-5mn+6k+6k=\) \item \(9mn+-1n+-8m+-8m=\) \item \(2mn+5k+4m+4m=\) \item \(-7mn+-2k+-9xz=\) \item \(-8m+3k+3k=\) \item \(9kn+-9k+-6km+8mn+8mn=\) \item \(5km+2km+2km=\) \item \(-8km+-6kn+-9mn+3mn+3mn=\) \item \(-6n+-3kn+-3kn=\) \item \(-8km+-6m+-9km+-2y=\) \item \(-6n+6m+8km+8km=\) \item \(6k+-9m+1km+-4y=\) \item \(-6kn+3mn+3mn=\) \item \(6m+5kn+-6x=\) \item \(-8mn+-6kmn+-6mn+-6mn=\) \item \(2m+4kmn+-9k+-9k=\) \item \(5kn+-9n+2k+2k=\) \item \(-8km+2km+-1z=\) \item \(-4mn+-6mn+-6yz=\) \item \(-6kn+4m+7xy=\) \item \(-1km+3mn+-8k+-3m+-3m=\) \item \(-8mn+2n+8y=\) \item \(9mn+4mn+6y=\) \item \(9m+-1km+-1km=\) \item \(9n+4m+1xy=\) \item \(2km+3km+1kn+1kn=\) \item \(-2kn+-4kn+-1mn+-1mn=\) \item \(-4kmn+-4km+-8abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 55. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(5c+-2ab+2abc+2abc=\) \item \(9bc+2abc+-9ab+1a=\) \item \(-1bc+-3ac+-3ac=\) \item \(4ab+-9bc+-9bc=\) \item \(-2b+-4b+2ab+2ab=\) \item \(-1c+-9bc+-9bc=\) \item \(1ac+-6ab+-7abc+-7abc=\) \item \(5ac+-4c+-4c=\) \item \(5abc+5a+-2abc+-2abc=\) \item \(2b+6ac+-3ac=\) \item \(-3ac+1c+-2b+-2b=\) \item \(3abc+1ab+6b+6b=\) \item \(4c+7ac+7ac=\) \item \(-8abc+3ab+9b+9b=\) \item \(-9a+-1a+7b+7b=\) \item \(4abc+4a+4a=\) \item \(-8abc+-4c+-4c=\) \item \(-9b+-1ac+-1ac=\) \item \(-2bc+-1ab+7ab+7ab=\) \item \(-2a+8ab+8ab=\) \item \(8ac+8b+8b=\) \item \(2c+-3bc+4abc+4abc=\) \item \(3abc+4bc+8abc+8abc=\) \item \(-2bc+-2b+9ab=\) \item \(4b+-9ab+-9ab=\) \item \(3abc+-2b+2abc+-3abc+-3abc=\) \item \(-6a+-1b+-6bc+-6bc=\) \item \(3abc+1ac+-8ab+-8ab=\) \item \(-2b+9a+9a=\) \item \(-6bc+2bc+2bc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 55. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-8xz+-8yz+-8yz=\) \item \(4yz+-5xz+2z+2z=\) \item \(6z+-6xz+5xy+5xy=\) \item \(-9xy+-6yz+-6yz=\) \item \(1y+3x+9y+-6y=\) \item \(-3xy+9xy+-9y=\) \item \(-5x+-9xz+-4abc=\) \item \(3z+-3xyz+6x=\) \item \(4yz+-9z+-9z=\) \item \(7x+-7y+-3yz+-3yz=\) \item \(-1x+6xy+4ab=\) \item \(-2xz+4xyz+-8z+6ac=\) \item \(-4yz+-4xz+8y+9xyz+9xyz=\) \item \(6x+-7y+-6z=\) \item \(3x+-2x+-2x=\) \item \(-6xyz+3xyz+-1xy+-1xy=\) \item \(8xz+5xy+-1y+-1y=\) \item \(4xy+5xyz+2z+2z+2z=\) \item \(2z+4xy+-7abc=\) \item \(-2yz+4y+-8xy+-9abc=\) \item \(7z+8x+8x=\) \item \(-8xyz+8xz+2y+4abc=\) \item \(-1x+-1yz+-6ac=\) \item \(-5x+1xy+5z=\) \item \(-1xz+8xy+-9xyz+-2ac=\) \item \(-4xz+2xy+2xy=\) \item \(8z+-9xyz+-4xz+1yz+1yz=\) \item \(-5z+-3xyz+-3xyz=\) \item \(-4xz+-4z+-8ab=\) \item \(8xyz+-2y+2xz+3z+3z=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 56. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-7k+-8kn+-4km+-4km=\) \item \(5n+-1kmn+-1xy=\) \item \(-7n+-9n+8y=\) \item \(5kn+9kmn+-7xy=\) \item \(-3mn+-9mn+-9mn=\) \item \(-9kmn+1mn+-8k+8mn+8mn=\) \item \(5m+-3km+-7m+9x=\) \item \(-3k+-8k+-3kmn+4n+4n=\) \item \(-1mn+8mn+9x=\) \item \(6mn+6mn+6mn=\) \item \(-2k+7km+7km=\) \item \(-8km+-1kmn+7n+7n=\) \item \(8km+-1k+4m+4m=\) \item \(5kmn+4kmn+4kmn=\) \item \(3m+-5km+-6n+-6n=\) \item \(9kn+2mn+8k+4y=\) \item \(-6mn+2mn+-7kn+-7kn=\) \item \(2kmn+-8k+-6k+2xz=\) \item \(-2n+6mn+6mn=\) \item \(-9m+-6m+-3x=\) \item \(-2kn+-6k+-6k=\) \item \(-1kn+-9k+-9k=\) \item \(4n+6n+6n=\) \item \(-3km+4n+-3xy=\) \item \(3mn+6km+6km=\) \item \(-6k+-5n+-5n=\) \item \(-1mn+-9kn+-9kn=\) \item \(6m+5km+-1k+-8mn+-8mn=\) \item \(-1k+-8k+6kmn+5x=\) \item \(-5kmn+-1km+-2x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 58. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(4n+-5kmn+-3km+2kn+2kn=\) \item \(-5kmn+-4km+-5kmn+-5kmn=\) \item \(3n+-6kn+-6kn=\) \item \(-8kmn+-3mn+-1k+4kn+4kn=\) \item \(8km+-4k+-5kn+2k+2k=\) \item \(8n+8m+-9abc=\) \item \(-6kmn+3m+-9abc=\) \item \(-6n+-7m+-3x=\) \item \(1km+5kmn+5kmn=\) \item \(-2n+-4m+-1k+-2xy=\) \item \(7m+2mn+-7n+-7n=\) \item \(-8mn+8mn+-4xz=\) \item \(-1mn+-3km+-9xz=\) \item \(3k+2n+9m+9m=\) \item \(-9kmn+9km+9km=\) \item \(8kmn+2kn+-1xz=\) \item \(-6kn+1kn+-3x=\) \item \(-9n+3k+-9xz=\) \item \(-2kmn+-8mn+-1x=\) \item \(7n+5mn+-7km+-7km=\) \item \(2kn+-1km+5mn+5mn=\) \item \(-9m+-2m+-2m=\) \item \(-4km+-1kmn+-1kmn=\) \item \(-1kmn+2kn+2kn=\) \item \(8km+5km+5km=\) \item \(8km+-5k+9kn+-1yz=\) \item \(-9mn+-8k+4kmn+-1kn+-1kn=\) \item \(-9mn+-2n+9x=\) \item \(-4km+-3mn+-3mn=\) \item \(-8km+-9mn+5kmn+-8yz=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 59. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(5yz+4x+-7y+-7y=\) \item \(7y+-9xy+3x=\) \item \(4z+4x+4x=\) \item \(-8xz+7xyz+-9y=\) \item \(8xz+-3xyz+-2z=\) \item \(5y+-8xy+-8xy=\) \item \(-2y+7xz+-3ac=\) \item \(-1yz+9xz+9xz=\) \item \(5xz+4xyz+1z+1z=\) \item \(-3xz+-1y+-1xyz+7y=\) \item \(2x+2z+2z=\) \item \(1z+3yz+-3y=\) \item \(-5xyz+9y+9y=\) \item \(-1xyz+-3yz+2bc=\) \item \(-5xz+-5xyz+4y=\) \item \(6xy+-8xz+-8xz=\) \item \(4y+-5x+-5x=\) \item \(4y+9xyz+9xyz=\) \item \(5y+7xy+-4z=\) \item \(-8xy+-8yz+-8yz=\) \item \(7y+-3xy+-6y=\) \item \(5xz+-2xyz+5xy+-2y+-2y=\) \item \(5xyz+7xyz+7xz+7xz=\) \item \(6xz+6xy+-9y+-1abc=\) \item \(3yz+-9z+4ac=\) \item \(4xyz+-9yz+-3z+-3z=\) \item \(-7y+-5y+1z+1z=\) \item \(3x+-4xyz+3y+3y=\) \item \(6yz+-3xz+-4yz+-4yz=\) \item \(-1z+2y+2y=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 59. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-4mn+8k+8k=\) \item \(-4kmn+-1km+-5m+-5m=\) \item \(2n+2m+-7abc=\) \item \(-6m+-3mn+-3m+-3m=\) \item \(-4kn+1n+6km+6km=\) \item \(2kmn+7k+7k=\) \item \(2kmn+2kn+2kn=\) \item \(9kn+-6m+-9km+7kmn+7kmn=\) \item \(7km+8km+8km=\) \item \(-9km+-7kmn+-7kmn=\) \item \(8n+2n+-4k+-6k+-6k=\) \item \(3kmn+-9k+7km+7km=\) \item \(-8m+5kn+3n+-9yz=\) \item \(-4mn+9k+-2k+-2k=\) \item \(-8kn+6kn+6kn=\) \item \(-4k+-6n+-6n=\) \item \(3k+4km+4km=\) \item \(-5km+-1kmn+-1kmn=\) \item \(4k+4mn+4mn=\) \item \(8km+5kmn+-4mn+-4mn=\) \item \(-5km+-7kn+4kmn+-6x=\) \item \(1kmn+7m+-5z=\) \item \(1m+7kmn+-8n+-8n=\) \item \(9kn+-5mn+-5mn=\) \item \(4n+3m+-3n+-3n=\) \item \(-5km+1km+-6yz=\) \item \(5kmn+-6k+-6k=\) \item \(6kmn+-4n+-4km+-1kn+-1kn=\) \item \(-5km+-2km+-4abc=\) \item \(-1km+-5mn+-5mn=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 60. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(7bc+-1c+-1c=\) \item \(-5c+6ac+6ac=\) \item \(8c+4bc+-2c+3c=\) \item \(-9c+5a+-1ac+-2c=\) \item \(3ab+7abc+7abc=\) \item \(2ac+5b+-1b+-1b=\) \item \(-9c+3ab+3ab=\) \item \(-5abc+5a+9b+9b=\) \item \(-4ac+-7ac+6abc=\) \item \(4a+3abc+8b+5ab=\) \item \(1ac+-5abc+9bc+9bc=\) \item \(9ac+4ac+6c=\) \item \(8ab+-1b+-1b=\) \item \(3abc+-8c+-2bc+-6a=\) \item \(9a+2b+6c+-2b+-2b=\) \item \(-9bc+-8bc+-8bc=\) \item \(-1ab+-4a+-4b+-4b=\) \item \(-8a+3b+8ab=\) \item \(-4ac+9b+-7c=\) \item \(9ac+2a+4abc+7ab+7ab=\) \item \(-2abc+-3b+-3b=\) \item \(-4bc+9a+-5ab=\) \item \(5b+9ab+9ab=\) \item \(-5c+-1b+4ab=\) \item \(3c+-8bc+-2abc+-2abc=\) \item \(2bc+6c+1a+1a=\) \item \(-1bc+-2ac+9b+9b=\) \item \(-7abc+-9ac+3ac+3ac=\) \item \(4abc+4a+4a=\) \item \(4b+-1b+-1b=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 61. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(2kmn+4kn+1mn+-2kmn+-2kmn=\) \item \(-4km+8kn+8kn=\) \item \(9m+2n+-7xy=\) \item \(6km+-6mn+-6mn=\) \item \(-8km+1kn+1abc=\) \item \(-9m+7km+6m+6m=\) \item \(-2mn+3m+-9kmn+-9y=\) \item \(1m+-4mn+-1xy=\) \item \(9kn+-4n+2n+2n=\) \item \(-1kn+-4kn+-4kn+2xz=\) \item \(-9mn+-1k+5mn+8kn+8kn=\) \item \(-6kmn+-3km+9yz=\) \item \(6kn+2km+-5xy=\) \item \(-3kn+-8kn+5n+-8abc=\) \item \(4kn+4n+3km+5y=\) \item \(1kmn+-6n+-6n=\) \item \(7m+9km+8kmn+8kmn=\) \item \(9n+7kmn+-8x=\) \item \(3k+2k+-1kmn+-1kmn=\) \item \(9k+5k+-7n+-2z=\) \item \(-9m+6m+-7yz=\) \item \(6mn+5n+6mn+-1km+-1km=\) \item \(1n+-5m+1kn+1kn=\) \item \(8km+-9km+-7mn+-7mn=\) \item \(-3kn+-5kmn+-5kmn=\) \item \(-8kmn+-2kmn+-9kmn+-1x=\) \item \(-9kn+4kmn+-4xz=\) \item \(1mn+-7kmn+-6yz=\) \item \(-9kn+-3n+8xy=\) \item \(-5mn+8km+6km+6km=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 62. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(3yz+9x+-3x+-3x=\) \item \(4y+5yz+5yz=\) \item \(2z+3xyz+2z=\) \item \(3xz+9xy+4x=\) \item \(6xz+7xyz+1xz+1xz=\) \item \(-1xz+-7xy+-7xy=\) \item \(8yz+-1y+-1y=\) \item \(5x+-5xz+5y=\) \item \(-3xy+7xy+7ab=\) \item \(-8xy+6yz+6yz=\) \item \(-2xy+-3xz+-1z+5ab=\) \item \(-3x+7xy+7xy=\) \item \(9xz+4xy+4xy=\) \item \(9z+9x+-4x+-4x=\) \item \(-9xy+3y+3y=\) \item \(-1xy+-8y+-4y+7ab=\) \item \(3y+-8z+2abc=\) \item \(-4x+8xyz+-7xz+-4y=\) \item \(-1xy+2x+-8xy+-8xy=\) \item \(-8y+8xy+8xy=\) \item \(-7x+-2xyz+-2xyz=\) \item \(-9xz+-4yz+-7z=\) \item \(3z+1xz+1xz=\) \item \(3xyz+7z+7z=\) \item \(8xyz+-4z+-4z=\) \item \(9yz+3xy+-1z+-4abc=\) \item \(5yz+3z+7y+-1bc=\) \item \(-6xyz+-1x+3ab=\) \item \(4z+6xyz+6xyz=\) \item \(-6yz+9xyz+-9xy+4x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 64. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(5b+-5a+-5a=\) \item \(7ac+5a+-6abc=\) \item \(-9b+-4a+-6c+1b+1b=\) \item \(8bc+-1b+-9ac=\) \item \(-9bc+2a+-6b=\) \item \(8ab+-6b+6bc=\) \item \(3abc+-9bc+-7ab+4b+4b=\) \item \(-9a+-8c+-7b=\) \item \(6c+-5b+4abc+4bc+4bc=\) \item \(7bc+3a+-1c+9abc=\) \item \(-4ab+6a+5ac+5ac=\) \item \(-8ab+2c+-1abc+-1abc=\) \item \(-9ab+7c+1b=\) \item \(9bc+-4bc+-4bc=\) \item \(3a+2bc+5b+-4ac=\) \item \(-4a+-4b+-7abc=\) \item \(3abc+6c+6c=\) \item \(1abc+-6b+-9bc+-1b=\) \item \(-4ac+-2abc+-2abc=\) \item \(-4c+-1abc+-5b=\) \item \(-3ac+-9a+-4ab+-4ab=\) \item \(-1abc+5b+5b=\) \item \(-5abc+6a+-7c+-7c=\) \item \(9b+2ac+8ab+-1b=\) \item \(-6a+6c+3bc+-8b+-8b=\) \item \(-4bc+-3abc+-6ac=\) \item \(3a+-1a+1a+1a=\) \item \(-9c+3bc+-1b+-6c=\) \item \(-8c+-2b+-2b=\) \item \(-1ac+9a+9a=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 64. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(1km+7kn+8xy=\) \item \(-6kn+-5kn+-5kn=\) \item \(-8kn+8kmn+8kmn=\) \item \(6kmn+-6n+-6km+-6km=\) \item \(-7m+-6km+-8xy=\) \item \(-4kmn+-3kn+-3kn=\) \item \(-8kn+-6k+9kn+-2n+-2n=\) \item \(-2kn+4m+3m+-2x=\) \item \(7kmn+-7n+8kmn+8z=\) \item \(-5kn+-5m+7xz=\) \item \(-3kmn+-6k+-2abc=\) \item \(-4km+-9m+-9abc=\) \item \(3kmn+-9mn+-9mn=\) \item \(1kn+8kn+8kn=\) \item \(-2km+9km+9km=\) \item \(-6km+3kmn+-3x=\) \item \(8kn+-2kn+-2kn=\) \item \(-9m+1n+1n=\) \item \(5km+-9kmn+-9kmn=\) \item \(-4k+-1m+-1m=\) \item \(3kn+-1k+7n+7n=\) \item \(5m+2mn+2mn=\) \item \(-4kn+-6kn+-6kn=\) \item \(8kmn+-4n+-4n=\) \item \(2kmn+-5mn+-5mn=\) \item \(-4kmn+6km+-9mn+2kmn+2kmn=\) \item \(7km+1km+1km=\) \item \(2kmn+8mn+5mn+5mn=\) \item \(-4kn+-3mn+2kn+-3xy=\) \item \(7n+1n+1n=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 65. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(2km+-3kn+-3kn=\) \item \(9m+1kmn+1kmn=\) \item \(7n+8n+8n=\) \item \(5k+-3kn+1y=\) \item \(1n+-7km+-7km=\) \item \(1kmn+-7kn+-7kn=\) \item \(-5m+4kn+4kn=\) \item \(-3mn+2km+-9kmn+-9kmn=\) \item \(2kn+-3m+4n+4n=\) \item \(-7kn+5m+3km+3km=\) \item \(-7mn+5k+4n+4n=\) \item \(-1m+6n+6n=\) \item \(-7kmn+2km+2km=\) \item \(-4km+-8mn+-3x=\) \item \(2n+9mn+9mn=\) \item \(-1m+5n+5n=\) \item \(-8kmn+3kn+-1mn+-2xy=\) \item \(9kmn+-4k+4abc=\) \item \(-2km+3k+3k=\) \item \(7mn+5kmn+8kmn+2xy=\) \item \(3kmn+-1km+-1km=\) \item \(6kmn+6m+-1m+2y=\) \item \(-1kn+5k+-9mn+-9mn=\) \item \(2m+5mn+2y=\) \item \(8m+-2kn+-2kn=\) \item \(-6kmn+-3m+4m+4m=\) \item \(8kn+5kmn+5kmn=\) \item \(1kmn+-4kmn+2kmn+2kmn=\) \item \(-1m+-7m+6x=\) \item \(8k+1m+7n+3y=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 67. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-7xy+5x+-2xy+-2xy=\) \item \(-1z+1z+1z=\) \item \(-2yz+-5z+5xy+-5z=\) \item \(-9x+9xy+-9yz+-9yz=\) \item \(-9y+-3z+-3z=\) \item \(-3xyz+6x+6x=\) \item \(9xy+-9xyz+3x+4xz+4xz=\) \item \(-7x+-4z+6z+6z=\) \item \(-6xyz+-5xy+1x+1x=\) \item \(7x+9y+9y=\) \item \(-3xz+3y+3y=\) \item \(6z+4yz+4yz=\) \item \(-8xy+4xyz+4xyz=\) \item \(8xyz+-6xz+2xyz+-5bc=\) \item \(1x+9xyz+9xyz=\) \item \(-6z+-2x+-8xz+-8xz=\) \item \(1y+2xy+2xy=\) \item \(7x+-9x+-7xz+-7xz=\) \item \(8xy+3x+3x=\) \item \(8xz+-3x+-2x+-2x=\) \item \(6xyz+5y+5y=\) \item \(-7yz+1x+-2y+-2y=\) \item \(-8yz+-8xz+4z=\) \item \(3y+-2xz+5x=\) \item \(9xyz+4y+-4yz+-4yz=\) \item \(7xyz+-2z+1abc=\) \item \(-4xyz+-7xyz+-7xyz=\) \item \(-6x+2xz+-6x+6y=\) \item \(7x+4y+-7x+8y=\) \item \(-1xyz+-4xy+-4xy=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 67. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-2xyz+6xz+-6ab=\) \item \(8xy+4xz+4xz=\) \item \(7yz+3y+3y=\) \item \(3x+-3x+-3x=\) \item \(-6xz+-7yz+7xyz+9abc=\) \item \(-7y+4yz+-5ac=\) \item \(-1yz+-3xyz+1y+1y=\) \item \(8xyz+-6xy+4yz+4yz=\) \item \(8xy+-6xz+-3bc=\) \item \(2x+3xyz+3xyz=\) \item \(-4yz+5x+5xz+5xz=\) \item \(9z+-3xz+-3xz=\) \item \(8x+-8x+-8x=\) \item \(3xyz+9x+4y=\) \item \(3z+1xyz+-9xz+-9xz=\) \item \(-3yz+4y+6y=\) \item \(-3xz+-5x+-7abc=\) \item \(-7y+2x+-8z+9ac=\) \item \(-5x+-7xy+-3xy+-5ab=\) \item \(5yz+-1xy+-1xy=\) \item \(5y+3xyz+3xyz=\) \item \(-1xy+-4xy+-4xy=\) \item \(-4xy+-6xyz+6xy+6xy=\) \item \(4z+9z+-2ac=\) \item \(2yz+1xyz+1xyz=\) \item \(-3xyz+1yz+-3ab=\) \item \(-6yz+-9x+-2xyz+-2xyz=\) \item \(-5xyz+8yz+-7xyz+-7xyz=\) \item \(-8x+4xyz+5xy+5xy=\) \item \(6xy+-6z+5z=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 69. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-7xz+-9xyz+1xy+7ab=\) \item \(1xyz+-3x+-4y+-8y=\) \item \(-6x+-9z+-4xyz+-3z+-3z=\) \item \(-5xyz+2xy+4z=\) \item \(5y+9xy+7xy+7xy=\) \item \(-7yz+5x+8yz+8yz=\) \item \(-1xyz+-6xy+-1abc=\) \item \(2xz+-5xyz+2x=\) \item \(-9xy+-6x+-6xz+-6xz=\) \item \(-5xy+9yz+8yz+-6abc=\) \item \(4xz+6z+2y=\) \item \(-5y+-5yz+-5yz=\) \item \(-6xyz+6y+6y=\) \item \(9xz+-8z+2ac=\) \item \(-4z+7xz+-4y+-4y=\) \item \(-9z+8xy+8xy=\) \item \(-3yz+1xyz+-9z=\) \item \(9xyz+-9yz+-9yz=\) \item \(-3yz+6yz+-9xz+-9xz=\) \item \(-2xyz+-2xyz+-7ac=\) \item \(9x+-4z+1xz+1xz=\) \item \(-8xz+8y+-3x+3x+3x=\) \item \(4yz+-8y+-8y=\) \item \(-5x+8xz+-9yz+-9yz=\) \item \(6z+4xyz+4xyz=\) \item \(1xy+9yz+7z+7z=\) \item \(8xyz+-8x+-8x=\) \item \(2yz+7y+-2y=\) \item \(3yz+-5z+-5z=\) \item \(-4x+2xz+-6bc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 70. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(2xy+9z+9z=\) \item \(9x+2xz+2xz=\) \item \(-9xz+6xyz+4x=\) \item \(-8xz+-9y+-9y=\) \item \(-4x+-3x+-8z=\) \item \(8y+8y+-7xyz+-7xyz=\) \item \(-7y+-8xy+7xyz+-4z+-4z=\) \item \(4xz+2xy+1xz+4ab=\) \item \(6x+-9xyz+-9xyz=\) \item \(-2x+-6xy+-4z+-8bc=\) \item \(-1z+-8yz+-5xy+2xy+2xy=\) \item \(-3y+-3yz+-3bc=\) \item \(4xyz+-8xyz+4y+6y+6y=\) \item \(3xz+-3y+-3y=\) \item \(8xz+-1xz+1y+1y=\) \item \(2y+7y+-4x+6xy+6xy=\) \item \(1xyz+3z+4xy+6abc=\) \item \(8x+8xz+-1z+-1z=\) \item \(4x+9xy+5x+3x+3x=\) \item \(-3z+-7yz+9x+9x=\) \item \(8y+5yz+5yz=\) \item \(3y+2xz+2xz=\) \item \(-7xyz+-9xy+-2xz+-2xz=\) \item \(-4xy+-1yz+-1yz=\) \item \(3yz+-2yz+3xz+-8x=\) \item \(-3xz+-5xy+-5xy=\) \item \(7x+4yz+4yz=\) \item \(5xyz+8xyz+7yz+-9ac=\) \item \(-3x+8yz+8yz=\) \item \(-3yz+-5yz+-1y=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 71. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(3ac+6bc+5c+-8c+-8c=\) \item \(4ac+-7a+-7a=\) \item \(7abc+-7bc+-1bc+-1bc=\) \item \(-8b+1b+1b=\) \item \(-7b+4abc+-8a+-8a=\) \item \(-6b+4bc+-8b=\) \item \(6a+6abc+-9abc=\) \item \(7abc+9a+9a=\) \item \(3b+-9ab+1ab=\) \item \(-6c+-2ab+2bc+2bc=\) \item \(-4bc+-8b+-5b+-5b=\) \item \(6ab+6ab+-4abc+-4abc=\) \item \(8a+-7b+2c+3b=\) \item \(8ab+-5a+5abc+-6abc=\) \item \(-1bc+8c+-9abc+-9abc=\) \item \(-7ab+3c+-3a+-3a=\) \item \(-3abc+8b+-3abc=\) \item \(5c+-6ab+-6ab=\) \item \(3a+4bc+6a=\) \item \(1c+-7ac+-7ac=\) \item \(-5c+2c+8ac+8ac=\) \item \(-9ac+1ac+1ac=\) \item \(-8ac+3abc+1a+1a=\) \item \(-6abc+1b+8abc+4a=\) \item \(-7bc+-3ab+-2ac+-2ac=\) \item \(4ab+-1c+-1c=\) \item \(5b+-8ab+-8ab=\) \item \(-2abc+-1bc+-7a+-7a=\) \item \(7c+7a+8ab=\) \item \(-9bc+-2bc+-4a+-4a=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 71. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-6xy+-8xyz+-4y=\) \item \(-8x+8xz+7x+7xyz+7xyz=\) \item \(9yz+8x+1xz+-6xz+-6xz=\) \item \(7yz+5yz+5yz=\) \item \(3xz+-7y+-7y=\) \item \(6z+9x+-8bc=\) \item \(-5y+-2y+-2y=\) \item \(5yz+-1y+9y+-5x+-5x=\) \item \(-3yz+-8xz+-6x=\) \item \(9x+-3y+6y+6y=\) \item \(-1yz+6xz+6xz=\) \item \(-4xz+-6xy+-5y+-5y=\) \item \(-1z+-4xz+-4xz=\) \item \(-6xyz+4xz+4xz=\) \item \(2y+-4yz+-4yz=\) \item \(-3xy+4xz+4xz=\) \item \(-4z+5xy+5xy=\) \item \(1xy+-3y+-3y=\) \item \(3xy+-9yz+8xy+9ab=\) \item \(-2x+9xyz+-2ac=\) \item \(8y+3xyz+5y=\) \item \(6z+-8yz+9xy+-8ac=\) \item \(1xy+4xy+4xy=\) \item \(-7xyz+8yz+3z+3z=\) \item \(-4xyz+-7xy+-7xy=\) \item \(4y+7yz+8xz+8xz=\) \item \(-4xyz+-7xy+-4xy+-4xy=\) \item \(8y+3yz+3yz=\) \item \(-6xy+-6x+4y+-8y+-8y=\) \item \(6xz+4x+4x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 72. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-5ac+-1bc+-1bc=\) \item \(-6b+8ab+-9ac=\) \item \(-7c+-7a+4bc+3abc=\) \item \(3ac+-6a+-2c=\) \item \(2ac+-7c+-7c=\) \item \(-8b+-9ac+-3c=\) \item \(7ac+2bc+-4a+-4a=\) \item \(2b+4c+8b+8b=\) \item \(-2ab+-4bc+-4bc=\) \item \(8b+9bc+9bc=\) \item \(3a+-1ac+2ab=\) \item \(-2ac+-7c+-7c=\) \item \(6ab+3bc+-7bc=\) \item \(4bc+6c+-4bc+-4bc=\) \item \(7bc+-4ab+-4ab=\) \item \(-2ac+8ab+8ab=\) \item \(-6ab+-2b+4bc+4bc=\) \item \(-8a+-3ac+-1b=\) \item \(6ac+-8abc+-8abc=\) \item \(4bc+-6a+-6a=\) \item \(6a+-4b+-4b=\) \item \(3bc+-4bc+-4bc=\) \item \(-8c+-9c+9a+-8c=\) \item \(-9abc+9c+-3ab+-3ab=\) \item \(-6abc+-4ab+-7ac+-7ac=\) \item \(-2ac+-9abc+8ac+8ac=\) \item \(-4abc+7bc+-9a+-6ab=\) \item \(1b+-5a+-5a=\) \item \(-8abc+9b+8b+8b=\) \item \(-8ab+5bc+5bc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 73. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(5k+-3kmn+-6km+9yz=\) \item \(4kmn+2n+9mn+-6m+-6m=\) \item \(-7km+-5kmn+-5kmn=\) \item \(4m+-7kn+-3abc=\) \item \(-5kmn+-5kmn+-5kmn=\) \item \(1k+-1mn+7k+7k=\) \item \(-6km+2kmn+2kmn=\) \item \(5kmn+2m+8m+8m=\) \item \(-5m+-7kmn+-7kmn=\) \item \(-6km+4mn+4mn=\) \item \(6k+-9m+-2y=\) \item \(2mn+8kn+8m+8abc=\) \item \(-8kmn+2km+-1mn+3mn+3mn=\) \item \(-6n+-6km+-6km=\) \item \(-5km+-1n+3k+3k=\) \item \(1km+8mn+-2abc=\) \item \(3km+4kmn+1xy=\) \item \(-9mn+-1km+-2k+3x=\) \item \(-6km+6kn+-4yz=\) \item \(-5mn+-4kmn+3km+3km=\) \item \(5n+-1kn+-6n+-2m+-2m=\) \item \(-3mn+-5kmn+-8mn+-1m+-1m=\) \item \(9mn+-8m+-8m=\) \item \(5kmn+-2k+-2k=\) \item \(9km+-8mn+9kmn+-2yz=\) \item \(6k+-4n+2kn+-7kn+-7kn=\) \item \(-2kn+8kn+8kn=\) \item \(-2m+3mn+-2y=\) \item \(3n+9n+9n=\) \item \(9m+-5m+-5m=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 74. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(3kmn+-4m+4y=\) \item \(-9mn+4km+-5mn+-5mn=\) \item \(9kn+-2k+7y=\) \item \(-8n+-2k+-6z=\) \item \(-5m+5kmn+-9kmn+-9kmn=\) \item \(7m+-8n+-6xy=\) \item \(-4km+8n+8n=\) \item \(-6m+2km+2km=\) \item \(-6kn+9kmn+9kmn=\) \item \(3k+-6km+-6km=\) \item \(-1mn+-6n+5yz=\) \item \(-7mn+-4kmn+-4kmn=\) \item \(-1n+6k+9km+9km=\) \item \(-3kmn+7m+3kn+3kn=\) \item \(9n+-1m+-1mn+-1mn=\) \item \(-8n+-5kn+9mn+-2xy=\) \item \(6kmn+1kmn+1kmn=\) \item \(4m+1kmn+1abc=\) \item \(9m+2kmn+2kmn=\) \item \(2mn+-6kmn+-6kmn=\) \item \(-5mn+1km+6k+3z=\) \item \(5kn+5km+-9m+-9m=\) \item \(2mn+-7km+-7km=\) \item \(-3km+-9m+2yz=\) \item \(5kmn+4mn+4mn=\) \item \(6kmn+5mn+5mn=\) \item \(5n+7m+6km+-3abc=\) \item \(-3mn+5km+-6k+7y=\) \item \(1kmn+-5km+-5km=\) \item \(-4m+4mn+5k+5k=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 75. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(4bc+1c+1c=\) \item \(8a+-4a+-7b+-8c=\) \item \(-2a+4c+6abc=\) \item \(3a+-3b+-2ac=\) \item \(2abc+-6abc+-6abc=\) \item \(-3abc+-8abc+4ac=\) \item \(5abc+-2a+-5c+1ab=\) \item \(-6ac+4ac+-3bc+-3bc=\) \item \(4bc+-4ab+2abc=\) \item \(5abc+-6a+-6a=\) \item \(4ab+-3ab+4abc+3ac+3ac=\) \item \(-9ac+-6a+-6a=\) \item \(-8ac+-1ac+-8ab+-4abc=\) \item \(-8abc+-8c+-8c=\) \item \(-9ab+-4b+-4b=\) \item \(-8b+-4b+-4b=\) \item \(9abc+6a+3b+3b=\) \item \(-1ab+-4abc+-2c+-5b=\) \item \(1a+-9a+-9a=\) \item \(-4abc+8abc+-6ac+-6ac=\) \item \(1a+6abc+6abc=\) \item \(3ac+1b+1b+-2c+-2c=\) \item \(-3abc+-2bc+-2bc=\) \item \(8a+-4bc+-4bc=\) \item \(4b+-5a+-9ac+-2ac=\) \item \(3bc+-8b+-5ac+-8bc=\) \item \(-5ac+-3abc+-3abc=\) \item \(6ab+1bc+2c+-5a=\) \item \(1b+5bc+-2ab+-2ab=\) \item \(6abc+9a+-8b+3abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 77. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-4k+5kn+-8xz=\) \item \(-9mn+7kmn+-9m+-9m=\) \item \(3kmn+8km+2k+-6x=\) \item \(8m+-8km+6k+-3xy=\) \item \(9n+-3m+-3m=\) \item \(5kmn+-6km+-8m+-2kn+-2kn=\) \item \(-4kn+6k+-6mn+-6mn=\) \item \(7mn+8kmn+3x=\) \item \(-7k+6km+6km=\) \item \(4mn+-9kmn+-2xz=\) \item \(-7n+-3mn+-3mn=\) \item \(2kmn+-6m+-2km+3xz=\) \item \(-5m+9km+9mn+9mn=\) \item \(-2mn+-4kmn+-4kmn=\) \item \(8m+9k+-8kmn+5k+5k=\) \item \(-4m+-1kmn+5z=\) \item \(-5n+5n+4kn+4kn=\) \item \(-6mn+3n+-9x=\) \item \(-7mn+9k+9k=\) \item \(-9k+4n+2z=\) \item \(-7kmn+6kmn+6kmn=\) \item \(-6kn+-1k+2y=\) \item \(4kn+3kmn+3kmn=\) \item \(-5k+6k+6k=\) \item \(2m+-3m+-5k+3y=\) \item \(-5n+-8kmn+-8kmn=\) \item \(1mn+-3k+6kmn+6kmn=\) \item \(-4km+-6n+7k+5y=\) \item \(-9kmn+-6km+-5mn+-5mn=\) \item \(7m+6m+9kmn+-8z=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 78. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(9kn+1mn+7abc=\) \item \(3m+3km+6z=\) \item \(8m+-7kn+-6xy=\) \item \(2km+-3kn+-5xz=\) \item \(-9km+8mn+1m+1m=\) \item \(4kmn+-5n+-7km+-7km=\) \item \(-8km+3k+-8z=\) \item \(-6m+9m+-7mn+-7mn=\) \item \(-7kn+-8m+9z=\) \item \(-3kmn+6m+-5abc=\) \item \(9km+8n+8n=\) \item \(8m+2mn+2mn=\) \item \(-8n+-3km+7kn+7kn=\) \item \(6km+5kn+2mn+2mn=\) \item \(9mn+4km+-6kn+-6kn=\) \item \(4km+-3n+9n+3kn+3kn=\) \item \(9kn+2kn+9k+-7z=\) \item \(-7k+-7n+-7n=\) \item \(2m+1kn+-1mn+1k+1k=\) \item \(-1kmn+-6kmn+-6kmn=\) \item \(3kmn+-5n+-6yz=\) \item \(6kmn+-1m+-2k+-2k=\) \item \(2m+9kmn+-6kn+-6kn=\) \item \(-3kn+-1n+-7kn+-7xz=\) \item \(1mn+5n+-8n+-8n=\) \item \(2kn+-5mn+-5mn=\) \item \(-4n+-5n+-1kn+-1kn=\) \item \(-7m+3mn+3mn=\) \item \(7k+-6mn+9n+6mn+6mn=\) \item \(8k+5kmn+5kmn=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 78. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-4y+2yz+5yz+-3x=\) \item \(-3yz+5xy+-7abc=\) \item \(6yz+-7xz+-7xz=\) \item \(-7xz+4xyz+1z=\) \item \(-1z+3x+-8xz+-8xz=\) \item \(2xyz+5xyz+5xyz=\) \item \(5yz+6z+6z=\) \item \(-4xz+8y+8y=\) \item \(-6xz+8x+8x=\) \item \(-8z+-5xz+4x=\) \item \(8yz+-1xz+-1xz=\) \item \(5y+3yz+3yz=\) \item \(-1x+1z+-4x+-4x=\) \item \(2yz+-4y+3z+4xz+4xz=\) \item \(-1z+-4x+-4xyz+8ab=\) \item \(-8xz+6xz+6xz=\) \item \(7z+-9yz+5y+5y=\) \item \(3y+1xy+8ab=\) \item \(-2xy+-6x+2ab=\) \item \(-1y+5z+5z=\) \item \(-7z+6x+-4yz+6ab=\) \item \(7z+8xy+-6ab=\) \item \(7z+-9xyz+-7x+-7y=\) \item \(9xy+-2xz+1ac=\) \item \(8yz+8xy+-2ac=\) \item \(5yz+2x+-2z+6ac=\) \item \(9xy+-1z+-1z=\) \item \(9yz+-2xy+4y+4y=\) \item \(9xz+-1y+-1y=\) \item \(9z+1z+-2xy+6abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 80. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(2n+-3m+-3m=\) \item \(2km+7kn+-5y=\) \item \(-5kn+-3km+-3yz=\) \item \(8n+8km+7m+7m=\) \item \(-9n+-8kmn+5kn+5kn=\) \item \(-4kn+-4mn+-1n+2xz=\) \item \(-8kmn+2kn+-6m+-6m=\) \item \(4k+8m+8m=\) \item \(1mn+3kmn+2xy=\) \item \(-8m+7km+-2mn+-2mn=\) \item \(7m+7kmn+-7kmn+-7kmn=\) \item \(-9km+7m+7m=\) \item \(-1n+-5km+-4kmn+-4kmn=\) \item \(1kn+9n+7abc=\) \item \(-8mn+-5kmn+-5kmn=\) \item \(6k+9n+1mn+1mn=\) \item \(1km+-8kn+-8yz=\) \item \(-8mn+4n+-7mn+-7mn=\) \item \(-4k+-5km+-5km=\) \item \(7kn+8kmn+8kmn=\) \item \(-9kmn+8k+8n+8n=\) \item \(9km+-7k+3km+3km=\) \item \(1kn+-9kmn+-9kmn=\) \item \(-1kn+3kmn+-8z=\) \item \(-6km+-9km+6yz=\) \item \(-1n+1kmn+1kmn=\) \item \(-5n+6k+-6xy=\) \item \(-1m+-3n+-3n=\) \item \(-7km+-9m+8n+-5x=\) \item \(-8km+-3kn+-3kn=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 80. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-2y+-3xy+3z=\) \item \(-6xyz+4xy+2y+-9xz+-9xz=\) \item \(-5x+8z+6xz+6xz=\) \item \(-9yz+9y+-1x+-5ac=\) \item \(2xyz+-6xz+-6xz=\) \item \(-2xyz+8y+8y=\) \item \(3xyz+-5yz+-5yz=\) \item \(-5y+4yz+-5x+-9ab=\) \item \(-4x+-7xz+4abc=\) \item \(-4xy+9z+3abc=\) \item \(7y+4xz+-6z+-6z=\) \item \(-8xyz+2xz+-5y+-5y=\) \item \(-2yz+9y+-4x+-4x=\) \item \(4xz+7z+-2xyz+-8bc=\) \item \(8xz+-9y+8xz+8xz=\) \item \(-3y+-6xyz+-6xyz=\) \item \(-2y+9xyz+-8xy+-8xy=\) \item \(2y+-9y+-9y=\) \item \(7z+9z+-7abc=\) \item \(-5xyz+5y+5y=\) \item \(-4xy+4z+6xz+6xz=\) \item \(6xyz+-2xz+-9z+-9z=\) \item \(8y+-2z+-2z=\) \item \(2yz+9xy+2x+-8y+-8y=\) \item \(-1xy+-6x+-6x=\) \item \(2y+-8y+6yz+6yz=\) \item \(-7x+-1xz+-1xy+-1xy=\) \item \(-1xyz+1x+-7ac=\) \item \(5xz+-2xyz+7xyz+7xyz=\) \item \(-1yz+5yz+5yz+-8x+-8x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 81. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-1yz+3yz+-4xz+-4xz=\) \item \(-1xy+4y+6yz+4z=\) \item \(-3x+3x+-4z+-4z=\) \item \(-7xz+-6x+9abc=\) \item \(3x+-6xyz+-7z=\) \item \(6yz+4y+7xyz+8ab=\) \item \(9z+4y+7yz+7yz=\) \item \(3xy+-4xy+-4xy=\) \item \(-6x+-8x+-8x=\) \item \(9xy+7xz+1z+1z=\) \item \(-2x+2xz+2xz=\) \item \(-5y+9z+-4y+-3abc=\) \item \(4z+9y+8abc=\) \item \(-1z+6yz+5xy+-2bc=\) \item \(8xz+-5x+-5x=\) \item \(-2y+8xyz+-8ab=\) \item \(-2x+3xy+7y+7y=\) \item \(5y+-8x+-8z=\) \item \(-9xz+9xy+5ab=\) \item \(1z+-9x+-1y+-5z=\) \item \(-4y+6xy+-1y+-1y=\) \item \(-3xz+-3z+6x=\) \item \(9xy+6xyz+-8x+-8x=\) \item \(3x+4z+-9bc=\) \item \(-8x+-1yz+6z+-5ab=\) \item \(-6xyz+7xy+-3yz+-6x=\) \item \(-1xy+-7x+-4z+-4z=\) \item \(-6z+-6x+4ac=\) \item \(3x+-6xyz+-1ab=\) \item \(2y+-9xz+2x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 83. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-1xz+-6xy+7y+7y=\) \item \(3xy+3xy+3xy=\) \item \(-2x+-8xy+-6z=\) \item \(4y+-4yz+4x+-2bc=\) \item \(9x+1z+4ac=\) \item \(-5yz+-6xyz+7xyz+-4xy+-4xy=\) \item \(9xz+-9z+-9z=\) \item \(-2xz+3z+3z=\) \item \(9x+7z+-4yz+3abc=\) \item \(7xyz+2xz+2xz=\) \item \(-8x+2yz+-8z+-4y+-4y=\) \item \(-2yz+-3xy+1ac=\) \item \(5xy+-9x+-8x+-8x=\) \item \(2y+-8xz+9xyz+9xyz=\) \item \(-8x+-5yz+9x+9z=\) \item \(-5y+9y+-2yz+-4x=\) \item \(-9xz+8xyz+4xz+8abc=\) \item \(5y+5xz+4xy+5x=\) \item \(-5y+-4x+-4x=\) \item \(7xyz+5xy+9y=\) \item \(1z+-4xy+-4xy=\) \item \(7z+1xy+-4bc=\) \item \(2xy+-2z+-4z+4z=\) \item \(7xy+-5x+8xy+8xy=\) \item \(5y+8z+9xyz+9xyz=\) \item \(-7x+-3xyz+-3xyz=\) \item \(-8x+-3y+-4x+1ab=\) \item \(1xyz+4xz+4xz=\) \item \(-2xyz+8yz+8yz=\) \item \(-6xz+3z+5ac=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 84. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-6z+2xy+-5z=\) \item \(-1xz+-1yz+-1yz=\) \item \(-6y+-8xz+-8xz=\) \item \(8x+-4x+2ab=\) \item \(-5z+-1xz+-9abc=\) \item \(1xz+-1y+5abc=\) \item \(3x+-1z+4x+-2z+-2z=\) \item \(2yz+-6y+1x+1x=\) \item \(-9xyz+7xz+-4z=\) \item \(1y+-5y+8xz+8xz=\) \item \(1yz+3yz+-2abc=\) \item \(4xyz+7xyz+-4x=\) \item \(-6xy+1z+-7bc=\) \item \(8xy+5z+-7abc=\) \item \(4yz+-8yz+4abc=\) \item \(-5y+1xyz+4xy+4x+4x=\) \item \(-3x+-8y+8yz+-5bc=\) \item \(-1xyz+-7xz+-7xz=\) \item \(6yz+7xyz+8x=\) \item \(-5yz+-5z+-5z=\) \item \(-4xy+8y+8y=\) \item \(5xyz+-7xz+-3y+-3y=\) \item \(-9x+-7x+4xy+4xy=\) \item \(9xz+6yz+-3yz+9ac=\) \item \(5x+-2xyz+-2xyz=\) \item \(2z+-6z+5ab=\) \item \(-4xy+8xz+8xz=\) \item \(3yz+-4x+-4x=\) \item \(-4xz+-7xy+-1z+-9ab=\) \item \(-7x+7xz+-3y+-3y=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 84. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(9mn+7kmn+3xy=\) \item \(9kmn+2mn+1xy=\) \item \(-8k+-6k+-1km+-1km=\) \item \(-7m+3km+3km=\) \item \(4kn+-4k+-2xz=\) \item \(-2n+-3mn+8yz=\) \item \(1mn+-2n+-4n+-4n=\) \item \(-6kn+6kn+8x=\) \item \(-7kmn+-5m+-7x=\) \item \(5k+6kn+6kn=\) \item \(5kmn+7k+7k=\) \item \(-1n+9kn+9kn=\) \item \(-9m+1km+-8abc=\) \item \(8k+8kmn+8kmn=\) \item \(-6k+3mn+6km+-8z=\) \item \(-5n+-3mn+3kn+3kn=\) \item \(-5m+-4n+-4km+-3abc=\) \item \(-6km+-2km+-7k+-6z=\) \item \(-4km+-3km+-3km=\) \item \(7kn+-7m+4xz=\) \item \(6mn+5kmn+-8xz=\) \item \(-7k+-5n+-5n=\) \item \(-1m+2n+-6m+-6m=\) \item \(-2kn+2mn+-1m+-1n+-1n=\) \item \(5kn+3km+-2kn+-2kn=\) \item \(-1mn+-7k+-5n+-5n=\) \item \(-9k+4m+-1kmn+4xy=\) \item \(8mn+-9kmn+3n+-5abc=\) \item \(-4kmn+-7kmn+3kn+4xz=\) \item \(8kn+4n+-6kn+-6kn=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 85. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(1mn+5n+-3m+-5xz=\) \item \(9mn+-6n+1kmn+-2m+-2m=\) \item \(1km+5n+5n=\) \item \(-5km+-6mn+3kn+3kn=\) \item \(-7km+-1k+-1k=\) \item \(-4n+2mn+3n+3n=\) \item \(-3m+-2m+6xy=\) \item \(-5k+-8kmn+7z=\) \item \(6km+-5kn+8xy=\) \item \(-3kn+-4mn+-4mn=\) \item \(-1mn+3k+-6kmn+-5abc=\) \item \(6m+8m+7kmn+-4yz=\) \item \(7m+9mn+9mn=\) \item \(6k+-8k+-8k=\) \item \(-4m+-6km+-6km=\) \item \(-9n+5k+7km+-5km+-5km=\) \item \(8mn+4n+-6k+-6k=\) \item \(-5k+6k+-6yz=\) \item \(-3n+5m+9y=\) \item \(3km+1m+3k+9km+9km=\) \item \(6kmn+-8m+-4xz=\) \item \(6km+5k+4yz=\) \item \(2kmn+-3k+6k+6k=\) \item \(5kn+-9n+-9mn+-9mn=\) \item \(9mn+4mn+6km+2xz=\) \item \(-8k+-3k+-3k=\) \item \(9n+-7kmn+8yz=\) \item \(-5km+-5n+3m+3m=\) \item \(-7kn+-8kmn+-1m+-1m=\) \item \(7kmn+9mn+-4km+7xz=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 87. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-5ac+-7ab+-7ab=\) \item \(2ac+8c+8bc+8bc=\) \item \(2b+1abc+1abc=\) \item \(9ac+-5ab+-5ab=\) \item \(5c+-2abc+-2b+-3c=\) \item \(4a+-9abc+3ab=\) \item \(3ac+-5ac+8a+8a=\) \item \(-4c+-2b+-2ac+-2ac=\) \item \(9b+-3c+-4ab+8ab+8ab=\) \item \(5ac+-5bc+-5bc=\) \item \(-2abc+8ac+-2bc+-2bc=\) \item \(4bc+7c+9ac+9ac=\) \item \(-5bc+3ac+3ac=\) \item \(-2a+-1bc+-1bc=\) \item \(6bc+-4c+-4c=\) \item \(8b+4bc+4bc=\) \item \(2a+8a+6c+-5abc=\) \item \(4b+-2bc+5abc+5abc=\) \item \(-9ab+6bc+-4c+-1c+-1c=\) \item \(-9bc+-1ac+-2ac+9bc=\) \item \(-6c+8ac+8ac=\) \item \(-5c+-9ac+2abc=\) \item \(8b+3bc+-1abc+-1abc=\) \item \(-8ab+-6b+-5ab+7ab+7ab=\) \item \(-4ab+-6bc+-6bc=\) \item \(9ab+-9c+-9c=\) \item \(1c+-3ac+-3ac=\) \item \(6a+2b+2b=\) \item \(-3c+-2ac+-4abc+-4abc=\) \item \(9abc+-4b+-4b=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 87. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-6xy+3x+3bc=\) \item \(4y+2xyz+-2xyz+-2xyz=\) \item \(2y+-9y+-9y=\) \item \(-6xyz+8xz+8xz=\) \item \(-4x+-4xy+6xyz+6xyz=\) \item \(3y+-2z+9ab=\) \item \(6x+5x+5x=\) \item \(8xyz+-7xyz+-7yz+9xz+9xz=\) \item \(-6xz+3xz+7bc=\) \item \(-2y+-9xyz+9xz+6xy+6xy=\) \item \(6xyz+8z+8z=\) \item \(-4x+-9z+2y=\) \item \(-2y+6y+2yz+-7x=\) \item \(1xy+8z+8z=\) \item \(-8xy+-1z+1abc=\) \item \(-1y+3yz+3yz=\) \item \(-9x+3y+-7yz+5y=\) \item \(-5z+-3xz+-3xz=\) \item \(-1xy+-6z+2x+2x=\) \item \(-9xyz+7xyz+3x+3x=\) \item \(6x+-5xyz+-5xyz=\) \item \(-7xy+-8z+-4ab=\) \item \(-2xz+-6z+-6z=\) \item \(-6z+-2z+-2z=\) \item \(7z+6xz+9xy+2x+2x=\) \item \(-6xyz+2z+1xz+-6z=\) \item \(4xyz+-6xy+2xyz+2xyz=\) \item \(-4y+3z+-8x+-1ab=\) \item \(8xyz+7xyz+-7ab=\) \item \(6z+2z+-4bc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 89. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(7c+-2ab+3c+3c=\) \item \(-8b+-6ab+-4ac+-4ac=\) \item \(-2a+-7b+-7b=\) \item \(-2bc+-5c+-1ac+-7abc=\) \item \(1c+9ac+9ac=\) \item \(5b+-7b+-7b=\) \item \(2ac+1bc+-8a+7c+7c=\) \item \(2bc+2bc+2bc=\) \item \(4b+3a+-3ab+-3b=\) \item \(6ac+9bc+3b+3b=\) \item \(-3ab+-8ab+-8ab=\) \item \(6ab+-9bc+5bc=\) \item \(2abc+3abc+-1ab=\) \item \(-6ab+-2b+-7ab+-9abc+-9abc=\) \item \(9bc+-8ab+-8ab=\) \item \(3abc+-3abc+-3abc=\) \item \(7ac+7b+-6a+-6a=\) \item \(-7ac+-4a+-4a=\) \item \(-5ac+2a+2a=\) \item \(-1c+-1a+6bc+8c=\) \item \(-3a+8abc+8abc=\) \item \(-8a+-9ab+4ab=\) \item \(-3b+-7b+-7b=\) \item \(-2c+8ac+6ac=\) \item \(3abc+-6a+-3abc=\) \item \(3ab+6ac+1c=\) \item \(1ac+4ab+4ab=\) \item \(7c+2c+3abc+6c+6c=\) \item \(-3ac+5abc+6abc+6abc=\) \item \(3ab+-6b+-9bc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 90. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(4xyz+-5yz+-5yz=\) \item \(-9z+5yz+9yz+-9bc=\) \item \(5xz+4xz+4xz=\) \item \(2z+-7xz+-7xz=\) \item \(9xz+-6z+-2y+-2y=\) \item \(8z+-6xz+-7z=\) \item \(3z+2xyz+2xyz=\) \item \(3yz+-7xyz+-7xyz=\) \item \(-2xyz+-4y+-4y=\) \item \(-6xz+-2x+-2x=\) \item \(2y+9xyz+2abc=\) \item \(5xz+5xyz+-5yz+8ac=\) \item \(7z+-8xy+3y+3xyz+3xyz=\) \item \(-9xy+-2y+-2y=\) \item \(-1xz+-3y+-4xy+-8xyz+-8xyz=\) \item \(-2z+8xyz+8xyz=\) \item \(4xyz+-6xyz+-4x=\) \item \(5xz+-6xyz+3ab=\) \item \(-3y+4xz+-1ab=\) \item \(-7yz+4y+-4xz+-4x+-4x=\) \item \(8xyz+8x+8x=\) \item \(-5yz+-1yz+9xy+9xy=\) \item \(9xyz+-1xyz+-5z+2z=\) \item \(1z+-2xy+-2xy=\) \item \(8x+-9xz+-2y+-7abc=\) \item \(-9z+6x+6yz+6yz=\) \item \(1y+4xyz+9z+-3bc=\) \item \(-4x+8y+2yz+4ac=\) \item \(-7y+1y+3y=\) \item \(-6xz+-1yz+5xz+5xz=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 90. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(2ab+-5a+5c+5c=\) \item \(-8a+-7c+-5abc=\) \item \(-9b+9abc+8bc+-1ac=\) \item \(-2ab+-2ab+3ab+3ab=\) \item \(-7b+-7ab+4bc=\) \item \(-2a+-1abc+5ab+5ab=\) \item \(-5a+-7ab+-7ab=\) \item \(8bc+9ab+9ab=\) \item \(-7ac+-9c+-9c=\) \item \(-3c+3bc+-4ac+-4ac=\) \item \(-6b+4abc+5ac=\) \item \(-2ab+6c+6c=\) \item \(1ac+-8ab+6b+-9ac=\) \item \(-4b+7b+2ac+2ac=\) \item \(2c+-5ab+-5ab=\) \item \(1ab+-8bc+-4abc+7abc=\) \item \(5abc+1ac+-7ac+-6c=\) \item \(-4ab+-8ac+7abc+-1bc+-1bc=\) \item \(-8bc+1abc+-8ac=\) \item \(4ab+-8ab+-8ac+6a=\) \item \(6ab+-3c+-3c=\) \item \(4abc+4c+-9bc+-9bc=\) \item \(7ab+8a+8a=\) \item \(2b+6abc+-8a=\) \item \(-7ac+-8bc+-8bc=\) \item \(6ab+-9b+2bc=\) \item \(4a+3ac+-9ab+-9ab=\) \item \(4bc+2c+2c=\) \item \(-1bc+-2ac+-2ac=\) \item \(1c+-3b+-9a+7bc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 92. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(6mn+1mn+-2mn+-6m+-6m=\) \item \(-6k+-1k+2km+2km=\) \item \(4km+-9m+-1mn+-1mn=\) \item \(7mn+7m+-6mn+8k+8k=\) \item \(-5m+5k+5k=\) \item \(3mn+1mn+-8xz=\) \item \(2n+4mn+-6n+-5xz=\) \item \(4n+-5k+-5k=\) \item \(-9k+4m+4m=\) \item \(3km+-5km+-5km=\) \item \(3n+-9kmn+5m+-5k+-5k=\) \item \(-3mn+9kn+3kn+6xy=\) \item \(-6m+-1m+6mn+6mn=\) \item \(-9k+-8kn+9k+3kmn+3kmn=\) \item \(3n+-7mn+-8kmn+6n+6n=\) \item \(4kn+-5n+-4m+-4m=\) \item \(-3km+-1kn+-7abc=\) \item \(2km+-5kn+-5kn=\) \item \(4mn+-7n+-7n=\) \item \(-4mn+3k+3k=\) \item \(-6kn+6n+-7mn+-7mn=\) \item \(-3k+-5n+6kmn+-3xz=\) \item \(7kn+-6kn+-6kn=\) \item \(4n+4km+3y=\) \item \(-6kn+-3kn+-3kn=\) \item \(-4k+-6kn+-6kn=\) \item \(-5m+8kn+2km+2km=\) \item \(7kmn+1kn+1kn+2abc=\) \item \(6k+3km+-2abc=\) \item \(2kn+-9n+-9n=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 92. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(2y+-3z+-3ab=\) \item \(5xyz+1y+1y=\) \item \(-7xyz+-6xz+-6xz=\) \item \(9xz+-5xyz+-3y+-9x+-9x=\) \item \(7yz+-1y+-1y=\) \item \(-5yz+6xz+6xz=\) \item \(-9xy+8z+2x+-6bc=\) \item \(-2xy+-8xyz+-2y+5xyz+5xyz=\) \item \(-7z+6y+5ab=\) \item \(-4xyz+-8y+-8y=\) \item \(5xyz+-1y+-7z+-7z=\) \item \(-8xz+4y+4y=\) \item \(4xyz+-7yz+-7yz=\) \item \(4z+3x+3x=\) \item \(1z+2xyz+2xyz=\) \item \(-9y+-7xz+-2bc=\) \item \(-7y+-9xy+3z+3z=\) \item \(1xyz+4y+5x+5ab=\) \item \(-8y+-6x+-4xy+7bc=\) \item \(-5xyz+6xyz+-1y+-1y=\) \item \(-3yz+-4z+1xyz+1ac=\) \item \(3xy+4y+4y=\) \item \(3x+-5x+6yz+8x=\) \item \(-2xz+6xy+-8xz+-4ac=\) \item \(-5xy+-5y+3x+9xy+9xy=\) \item \(-1xyz+9y+-2z=\) \item \(4xz+4y+5xz+5z+5z=\) \item \(-1y+1xy+-3bc=\) \item \(-8x+2y+-6x+-8yz+-8yz=\) \item \(-2xy+7z+-1z+-1z=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 93. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(6k+4km+7k+7k=\) \item \(6kmn+-9km+-9km=\) \item \(-9kmn+5km+6kn+6kn=\) \item \(-2k+-3m+-3m=\) \item \(6km+5m+9z=\) \item \(-1km+-4m+-4m=\) \item \(-8mn+-3km+-3km=\) \item \(-8kn+9kn+9kn=\) \item \(8kn+-6m+-9z=\) \item \(4k+-6kmn+-6kmn=\) \item \(-7k+-7k+-7k=\) \item \(-4kmn+-1kn+7mn+7mn=\) \item \(-3kmn+8m+8m=\) \item \(-1n+-4n+9y=\) \item \(-4kmn+3mn+-1kmn+-1kmn=\) \item \(6k+7mn+-6xz=\) \item \(-7k+1km+8xy=\) \item \(4kmn+4mn+-6mn+-1x=\) \item \(4n+7m+7m=\) \item \(-2km+9kn+-8abc=\) \item \(-7k+6km+1mn+1mn=\) \item \(-4m+4kn+3m+3m=\) \item \(-2k+-8k+6abc=\) \item \(7kn+4n+-7y=\) \item \(9kmn+-1n+-7mn+-7mn=\) \item \(7km+9m+2xy=\) \item \(-2m+-8m+-4m+-4y=\) \item \(-7n+-6k+-6k+-6k=\) \item \(-9km+1kn+1kn=\) \item \(8m+-2kmn+-5z=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 95. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(1m+-3mn+3kn+3kn=\) \item \(-6k+9n+9yz=\) \item \(1k+-5kn+-5kn=\) \item \(-1m+-5km+-4kn+-4kn=\) \item \(-5kmn+-4m+3kmn+3y=\) \item \(1kn+7k+-1kn+1km+1km=\) \item \(-9mn+-2n+1m+-8xy=\) \item \(-2mn+-4m+-1mn+2n+2n=\) \item \(-5mn+4kn+-7m+3y=\) \item \(-3kmn+-2kmn+-1z=\) \item \(-3mn+-2n+4n+4n=\) \item \(-6km+-1km+1kn+1kn=\) \item \(4n+3k+-8abc=\) \item \(7kn+6kmn+3x=\) \item \(-3mn+-6km+-6km=\) \item \(-5k+1m+1m=\) \item \(2kn+-6km+-5z=\) \item \(-9n+-4kmn+-7m+8xz=\) \item \(-5kn+7kmn+4y=\) \item \(3kn+8n+2x=\) \item \(7m+7kn+7kn=\) \item \(3n+6k+7z=\) \item \(8k+-8kmn+-3k+-3k=\) \item \(-7n+9km+5yz=\) \item \(8kn+3km+3km=\) \item \(6k+4km+1kmn+6kn+6kn=\) \item \(-8k+8m+-6x=\) \item \(3n+8kmn+8kmn+8kmn=\) \item \(7k+2m+2m=\) \item \(9n+-2mn+-2m+-6k+-6k=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 95. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(3m+6kn+2y=\) \item \(7m+8kmn+8k+6xz=\) \item \(-4n+-1mn+2kmn+6x=\) \item \(1k+-5m+-4xz=\) \item \(7mn+-4km+4yz=\) \item \(-6kmn+7kn+1abc=\) \item \(2n+4k+-2m+2kn+2kn=\) \item \(5k+-9kn+-9kn=\) \item \(2kmn+5n+-6xz=\) \item \(-5m+-4kn+-4kn=\) \item \(-2m+2k+-6abc=\) \item \(2kmn+-9km+3kmn+-9k+-9k=\) \item \(-3m+6mn+6mn=\) \item \(8km+-1mn+9x=\) \item \(2mn+-2n+4y=\) \item \(-5km+4n+7m+7m=\) \item \(-5n+-3m+-5x=\) \item \(-9kmn+-9n+-5z=\) \item \(-7m+-9mn+-9mn=\) \item \(2m+7m+-6z=\) \item \(5kn+3n+3n=\) \item \(-9km+-6m+2y=\) \item \(6km+1mn+5z=\) \item \(-5kn+-2mn+-5km+-2y=\) \item \(-3km+-5mn+4kn+4kn=\) \item \(-4kmn+-4mn+4y=\) \item \(9kn+1km+-7k+-7k=\) \item \(3n+-3k+1y=\) \item \(5m+-2kmn+-2kmn=\) \item \(4k+4mn+4mn=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 96. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(8mn+1kn+-3xy=\) \item \(5km+1kmn+-9mn+-9mn=\) \item \(6m+-2kmn+3kn+3kn=\) \item \(-5km+7n+-6m+-5y=\) \item \(-9m+4n+-8m+8xy=\) \item \(-6km+7kmn+-3n+1abc=\) \item \(-3k+7mn+7mn=\) \item \(2k+3kn+-2abc=\) \item \(2k+1k+-7mn+-7mn=\) \item \(-9m+-1m+-6kn+-6kn=\) \item \(-2kn+8km+8km=\) \item \(-2km+5n+3n+5m+5m=\) \item \(5kmn+3kmn+3kmn=\) \item \(1km+3kn+3kn=\) \item \(-9k+3m+5k+5k=\) \item \(5n+-4m+-6mn+-6mn=\) \item \(-6n+-6km+2yz=\) \item \(-5k+-1km+8x=\) \item \(-6m+2mn+-2kn+-2kn=\) \item \(-2kn+-8km+6k+6k=\) \item \(-8kmn+-3mn+-4xy=\) \item \(-9n+2km+-9xy=\) \item \(-2kn+6k+6k=\) \item \(6kn+-3mn+-3mn=\) \item \(6mn+8k+-8xy=\) \item \(5k+-6km+7kn+5abc=\) \item \(7kmn+-7km+-4km+-5yz=\) \item \(-5kn+-1km+-1km=\) \item \(9kmn+5k+4km+-7n+-7n=\) \item \(-6k+8m+7n+-5y=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 98. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-4mn+-1km+8mn+1kn+1kn=\) \item \(-5kmn+3km+-1m+-1m=\) \item \(-9n+6kn+5km+5km=\) \item \(-9km+-3mn+4n+9yz=\) \item \(-7n+-3m+-3m=\) \item \(-3kmn+1n+1n=\) \item \(8km+-5m+-2m+-7y=\) \item \(4n+-6k+-6m+-3yz=\) \item \(3n+-4mn+-4mn=\) \item \(9kmn+-7kmn+9abc=\) \item \(2km+4mn+3z=\) \item \(2k+8n+8n=\) \item \(-7mn+1kmn+1kmn=\) \item \(-3kmn+-7m+-6n+-6n=\) \item \(1mn+5kmn+5kmn=\) \item \(4mn+-1m+-4kn+-4kn=\) \item \(-3kmn+-1kmn+-9xy=\) \item \(-2m+5mn+-6xz=\) \item \(1mn+-1km+-8m+-7xy=\) \item \(6m+-5km+4yz=\) \item \(-8n+-7km+-9z=\) \item \(-7k+-5k+-3m+-2m+-2m=\) \item \(-5mn+-2kn+-2kn=\) \item \(4mn+-6n+4mn+-8y=\) \item \(2km+2k+4y=\) \item \(6m+6mn+5abc=\) \item \(-5k+-5m+1kn+8yz=\) \item \(-7n+-5k+1km+-2abc=\) \item \(-3m+1m+7x=\) \item \(-7k+-7kn+-4mn+-4mn=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 98. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(4km+8n+1kmn+7mn+7mn=\) \item \(7km+7kn+7kn=\) \item \(-8kmn+9n+9k+-1mn+-1mn=\) \item \(5k+7kn+7xy=\) \item \(-1kmn+2km+-2kmn+-7mn+-7mn=\) \item \(4k+-3k+-3k=\) \item \(-4km+-8kmn+4n+-1xy=\) \item \(-7kmn+9mn+9mn=\) \item \(3k+4m+2kn+-2x=\) \item \(7km+2mn+-3km+-3km=\) \item \(-3kn+-5kmn+-5kmn=\) \item \(4kn+7m+7m=\) \item \(-3km+-5k+-5k=\) \item \(-1k+2m+2m=\) \item \(9mn+9m+7n+7n=\) \item \(-1kn+4kn+1n+1n=\) \item \(8k+-2k+4xy=\) \item \(7m+1m+1m=\) \item \(6km+-2n+7m+7m=\) \item \(3n+-2km+-2km=\) \item \(-1n+-8kmn+-8kmn=\) \item \(-2km+-5mn+-5kmn+-5kmn=\) \item \(5k+-1n+-6y=\) \item \(-2km+7km+-2yz=\) \item \(-9km+8m+7kmn+-7y=\) \item \(-5mn+2kn+-1abc=\) \item \(8kmn+7kn+7kn=\) \item \(2mn+-1km+-1km=\) \item \(-8mn+5n+2n+2n=\) \item \(-8km+1k+-5kn+-5kn=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 99. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(7b+3b+-6ab+-2bc=\) \item \(-2bc+-1bc+-4b+-4b=\) \item \(-3bc+9ac+6bc+5c+5c=\) \item \(-5ab+6c+6c=\) \item \(7a+1b+2bc=\) \item \(4c+5a+5c=\) \item \(-4b+-1b+7abc+7abc=\) \item \(3ab+-6b+-1abc+-1abc=\) \item \(3ab+6c+6c=\) \item \(4ac+5a+5b+5b=\) \item \(6ac+5ac+5ac=\) \item \(5a+-4a+-1a+-8a+-8a=\) \item \(-2bc+3a+-3bc+3ac=\) \item \(7bc+5bc+-9a+5ab=\) \item \(4ab+-2ac+-2abc+1ab+1ab=\) \item \(4ac+1ab+5c=\) \item \(9a+5a+5a=\) \item \(1b+5ac+5ac=\) \item \(6ac+-1abc+1bc+1bc=\) \item \(4ac+3ab+3ab=\) \item \(-2c+5abc+5abc=\) \item \(-5abc+4b+4b=\) \item \(-6bc+1bc+1bc=\) \item \(-2bc+2bc+3abc=\) \item \(3c+-1bc+-1bc=\) \item \(-1abc+-2ab+-2ab=\) \item \(3ac+-1c+-7b=\) \item \(2abc+6a+6a=\) \item \(1ab+-9abc+7c+7c=\) \item \(2a+5c+5c=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 100. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(7k+-4m+1km+1km=\) \item \(7m+-8m+-8xy=\) \item \(-3kmn+-8mn+4n+4n=\) \item \(5kn+-4kmn+-4kmn=\) \item \(4mn+-4m+-3xy=\) \item \(-2km+-1km+-1km=\) \item \(-1mn+-4k+-7abc=\) \item \(-8n+1m+-7y=\) \item \(-5m+2m+4y=\) \item \(-3n+-3kmn+-7mn+-7mn=\) \item \(-2m+1kn+1kn=\) \item \(-4k+4km+-1kn+-1kn=\) \item \(-9kmn+7n+4yz=\) \item \(-4kmn+-9mn+6km+-8x=\) \item \(7kmn+-8k+9m+9m=\) \item \(7k+3n+3n=\) \item \(-6mn+4n+4n=\) \item \(3mn+-3k+-3k=\) \item \(9km+-8mn+7k+-1m+-1m=\) \item \(8m+6km+6k+6k=\) \item \(9n+8n+8n=\) \item \(-5m+1k+7kn+7n+7n=\) \item \(1kn+-1k+-1k=\) \item \(8m+-8k+-5z=\) \item \(1n+-7mn+2kmn+2kmn=\) \item \(-6kn+7m+-7kmn+-7kmn=\) \item \(7m+-7n+-4z=\) \item \(-7m+5k+9z=\) \item \(4n+9n+1n+-1y=\) \item \(-3m+8kn+8kn=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 101. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(7ac+9b+2ab+2ab=\) \item \(-9bc+9ab+9b+9a=\) \item \(-3abc+1abc+-7a=\) \item \(7c+-4abc+9b=\) \item \(-6abc+-8ac+2a=\) \item \(1bc+-4abc+7bc+7bc=\) \item \(2a+-5abc+-1ac+-4ab+-4ab=\) \item \(-4bc+6b+-4c=\) \item \(2b+-3ab+3abc+9c+9c=\) \item \(-3a+6a+6a=\) \item \(-2abc+2b+-3bc+-3bc=\) \item \(4ac+6a+6a=\) \item \(-3ab+9c+-7bc+9a=\) \item \(-1ab+8abc+8abc=\) \item \(-2bc+6c+-2b=\) \item \(8c+3bc+1a=\) \item \(-3a+-3b+3bc=\) \item \(2b+4ac+-7a=\) \item \(-4ac+2ac+7c+7c=\) \item \(8bc+-4ac+-4ac=\) \item \(-2bc+2abc+4ab+8bc=\) \item \(-9b+-9b+8abc+-3b=\) \item \(-1b+-6ab+-9c+1b=\) \item \(-3ac+-2a+-2a=\) \item \(-4ab+-9c+-7ab=\) \item \(-5c+1bc+1bc=\) \item \(-4abc+6bc+-2ab+-2b=\) \item \(4c+-6a+-6a=\) \item \(-3a+6ac+3bc+1c=\) \item \(4a+-4bc+-4bc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 102. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(4ab+-3ac+2c=\) \item \(-7a+2bc+3bc+-6c=\) \item \(6abc+-6b+-6b=\) \item \(-6bc+1b+-2bc+-2bc=\) \item \(9ab+-5bc+-5bc=\) \item \(-4ab+-7ac+-3abc+-3abc=\) \item \(4abc+6c+6c=\) \item \(-1a+5ac+5ac=\) \item \(5abc+-9a+-4ac+2ac=\) \item \(-6ab+3ab+3ab=\) \item \(-3ab+1ab+1ab=\) \item \(3abc+2b+2b=\) \item \(-4ab+6a+2abc+2abc=\) \item \(4b+-1b+3ab+-9c=\) \item \(-8c+-7bc+4ac=\) \item \(7ac+-1a+-1a=\) \item \(4a+-5ab+-5ab=\) \item \(1b+-1c+-9abc+6c=\) \item \(-9bc+9ac+2ab=\) \item \(1a+-5b+1c+1c=\) \item \(1c+9ab+3c+3c=\) \item \(-1bc+5bc+3ac+3ac=\) \item \(1ab+-8a+4ab=\) \item \(2abc+-2ac+-3c=\) \item \(7a+-9ab+-9ab=\) \item \(-7c+8a+1a+1a=\) \item \(-6b+-7a+-5a+-5a=\) \item \(-9c+-5ac+4b+4b=\) \item \(8c+4bc+4bc=\) \item \(-9a+-9ab+8b+8b=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 103. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-3mn+-9kmn+-9kmn=\) \item \(3kmn+7mn+-7k+-7k=\) \item \(-3kn+5n+3z=\) \item \(1km+-8kmn+-7mn+5y=\) \item \(-6m+3m+-1yz=\) \item \(8kmn+9kn+1abc=\) \item \(8mn+-9k+-3mn+-3mn=\) \item \(3k+2km+8xy=\) \item \(-1m+9m+1m+1m=\) \item \(8n+1n+-7x=\) \item \(-6km+-1n+-8kn+1yz=\) \item \(-5k+5n+-7km+-7km=\) \item \(4n+6n+8km+7kn+7kn=\) \item \(2k+2kmn+1x=\) \item \(9k+8mn+-2xy=\) \item \(-8kmn+1kmn+8m+8m=\) \item \(8mn+-8m+-8m=\) \item \(-1kn+-6k+8m+1xz=\) \item \(8n+5kn+5kn=\) \item \(2km+-4n+8kn+8kn=\) \item \(9kn+1k+3k+1z=\) \item \(8n+3kmn+3kmn=\) \item \(-9mn+3m+3m=\) \item \(3kmn+5mn+3kn+3kn=\) \item \(1k+-1kn+-1kn=\) \item \(8m+2m+6z=\) \item \(3kmn+-8k+-3m+-6x=\) \item \(-9km+-7k+-7k=\) \item \(-4n+3mn+-5abc=\) \item \(3kmn+-5n+-5n=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 104. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(8y+2z+2z=\) \item \(-3xy+-1yz+-1yz=\) \item \(4xy+-1xy+-9ac=\) \item \(8xz+-3y+-2xy+-2xy=\) \item \(-4y+-7xyz+8abc=\) \item \(6z+-7xz+8z=\) \item \(9xyz+-9y+4xz+4xz=\) \item \(-9xy+8xy+-4yz+-2yz+-2yz=\) \item \(1xy+-3z+-3z=\) \item \(9xyz+-9y+8ab=\) \item \(-9xy+8y+-3xyz+-3z=\) \item \(1z+3x+-7xz+3ac=\) \item \(8y+-4y+-4y=\) \item \(-4x+3yz+4yz+4yz=\) \item \(2xz+-6y+1yz+1yz=\) \item \(-2y+-2x+-2x=\) \item \(-8xy+-5xyz+-5xyz+3bc=\) \item \(-4x+1yz+6bc=\) \item \(-9xy+7y+-1yz+-1yz=\) \item \(7y+-5z+-3z+-3z=\) \item \(-6xz+-4xyz+-2x=\) \item \(8y+3xy+3xy=\) \item \(1yz+7y+-8xyz+-8xyz=\) \item \(9yz+-1xyz+-9y=\) \item \(4yz+-3yz+-3yz=\) \item \(-9xz+-2x+-8z+-8z=\) \item \(4xz+-7xz+-3abc=\) \item \(4xz+-5z+-5z=\) \item \(-6xy+4xyz+3xyz+3xyz=\) \item \(6y+-2x+-2x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 105. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-6kn+-8kmn+1n+-3z=\) \item \(-4km+5mn+5mn=\) \item \(4k+-5km+-5km=\) \item \(-7k+4km+4km=\) \item \(4kn+4m+4m=\) \item \(-7km+-9kmn+1k+-7xy=\) \item \(-2km+9mn+-6xy=\) \item \(5km+-9m+-9m=\) \item \(9mn+-9kn+1y=\) \item \(2km+-9kn+-9kn=\) \item \(4mn+-8kmn+-8kmn=\) \item \(1mn+-1km+-1km=\) \item \(-5kn+4km+3m+2abc=\) \item \(6m+7kmn+-1n+-5xz=\) \item \(-2kmn+4km+4km=\) \item \(9km+-5mn+-5mn=\) \item \(6k+-4kmn+3m+-5k+-5k=\) \item \(2kn+9mn+9mn=\) \item \(8kn+-5mn+-5mn=\) \item \(-9km+-6n+5y=\) \item \(4kmn+4k+-8n+-7mn+-7mn=\) \item \(-9km+3km+3km=\) \item \(5n+4mn+2mn+2mn=\) \item \(-2mn+-4kmn+-6m+-6m=\) \item \(-5mn+-9m+8x=\) \item \(-2km+7kmn+-7n+-7x=\) \item \(1kn+2mn+2mn=\) \item \(-7k+-2n+-5km+-7k+-7k=\) \item \(3m+1k+1k=\) \item \(-7n+1km+6kn+6kn=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 106. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-8abc+-5bc+8ab=\) \item \(-7ac+-2c+-9abc+6ac+6ac=\) \item \(3bc+-2bc+-2bc=\) \item \(-2a+9ab+9ab=\) \item \(-7abc+-6c+-8b+-8b=\) \item \(6b+8bc+6ac=\) \item \(6abc+3a+2abc=\) \item \(-5a+-6b+-6b=\) \item \(-2abc+-6c+6bc+8abc+8abc=\) \item \(1c+9bc+5bc+5bc=\) \item \(1abc+4bc+4bc=\) \item \(-3b+-9abc+-6a=\) \item \(7ac+-2a+3a=\) \item \(-3abc+4b+4a+4a=\) \item \(9abc+-5ab+-5ab=\) \item \(-1abc+5ab+-8bc+-8bc=\) \item \(-9ac+-1ab+-3b=\) \item \(-6ac+-9b+5b+5b=\) \item \(-2ac+2b+3abc=\) \item \(6ab+-3c+9ac+9ac=\) \item \(-6bc+3a+5ac=\) \item \(-6abc+2b+5a=\) \item \(-5ab+5a+-3ac=\) \item \(2ac+-7ab+5b=\) \item \(8b+1bc+-9abc=\) \item \(-3bc+4bc+-7bc=\) \item \(-6a+2a+8c+3b=\) \item \(4a+1b+-9c=\) \item \(-1a+-1abc+-4ab+-4ab=\) \item \(8ac+-4ab+-4ab=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 107. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-6mn+9n+-4k+3abc=\) \item \(4kn+9kmn+9kmn=\) \item \(5kn+5kn+5kn=\) \item \(-7mn+4k+4k=\) \item \(3km+-3m+-3m=\) \item \(-9m+2mn+-2kmn+8xy=\) \item \(5km+-1n+1km+2kn+2kn=\) \item \(-3m+-5n+-5n=\) \item \(-6km+9kn+9kn=\) \item \(-8k+4km+9yz=\) \item \(-8m+3k+3k=\) \item \(-6kmn+5k+5k=\) \item \(-4n+-7mn+-7mn=\) \item \(-5mn+-8kmn+-4mn+3xy=\) \item \(-9kmn+-3k+-1yz=\) \item \(8km+-3mn+-6kmn+-6z=\) \item \(-6m+-3m+-3m=\) \item \(5m+4mn+-1y=\) \item \(7mn+-9mn+2mn+7km+7km=\) \item \(-1m+-4kmn+-5kn+-5kn=\) \item \(-5km+-8kmn+-1y=\) \item \(-1n+9mn+-6kn+-6kn=\) \item \(7kmn+-4km+-4km=\) \item \(5m+1k+-9y=\) \item \(3mn+-6n+-6n=\) \item \(9n+7km+-8km+-8km=\) \item \(7kmn+3mn+-5km+-5km=\) \item \(-5kmn+5mn+5mn=\) \item \(-1k+-5k+-9mn+-9mn=\) \item \(-8n+-8kmn+-1kmn+-1kmn=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 108. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-9abc+-2c+-6a+-6a=\) \item \(5ab+-3bc+-2ac+-5ac=\) \item \(6a+3abc+3abc=\) \item \(-8bc+-8abc+-4c+-8b=\) \item \(-2ab+3b+8c=\) \item \(8b+8b+-5c=\) \item \(7a+6bc+7ac+5abc=\) \item \(-9a+9a+4b+-3b=\) \item \(-1ac+4bc+4bc=\) \item \(-3bc+8ac+-9bc+3abc=\) \item \(6a+4ab+-4b=\) \item \(8abc+5c+6b+6b=\) \item \(1bc+-1b+-2c+-2c=\) \item \(3ab+-1bc+-7c+-1ab+-1ab=\) \item \(5abc+-3abc+2ac=\) \item \(5abc+5c+5c=\) \item \(6a+9ab+8a=\) \item \(1ab+6ab+2abc+2abc=\) \item \(5ab+3a+1a=\) \item \(-6bc+-4a+8ab=\) \item \(5a+1abc+3abc+3abc=\) \item \(-4a+-2bc+-2bc=\) \item \(-3bc+-9b+8ab+8ab=\) \item \(6ac+5ac+5bc+5a=\) \item \(3bc+9b+8ab+6a=\) \item \(1abc+-5ac+9b+-8ab=\) \item \(5a+-3b+-3b=\) \item \(5ac+-5ac+-5ac=\) \item \(8ab+6abc+-3ac=\) \item \(-9c+-5a+6ab+-2ab=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 110. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-6xz+2xz+7z=\) \item \(3x+8z+8z=\) \item \(1z+-1xy+-4xy+-4xy=\) \item \(-7xyz+-2xy+-2xy=\) \item \(-2y+-7z+-7bc=\) \item \(-9xy+-1xyz+6x=\) \item \(-6x+8xy+-8xy+-8xy=\) \item \(8xy+-9z+-9z=\) \item \(-6x+-5z+6xz+1z=\) \item \(5x+-7yz+-7yz=\) \item \(9xz+-1yz+-4z+-4z=\) \item \(-9xz+5xz+9xy+-4bc=\) \item \(6z+4y+-6z=\) \item \(2xy+-8xz+-7y+-7y+-7y=\) \item \(-9yz+-5xz+9x+-1abc=\) \item \(-8xyz+8y+3xyz+-3ab=\) \item \(-2y+3yz+6ac=\) \item \(-7z+-4yz+-7yz+-7yz=\) \item \(8z+8xz+-4y+-1xyz+-1xyz=\) \item \(-9z+-7xyz+-3y+-9y=\) \item \(1x+3xz+-5xy+-5xy=\) \item \(4y+6xyz+-9y+3yz+3yz=\) \item \(-6xyz+9xyz+5x+9z=\) \item \(-6x+6yz+6yz=\) \item \(-6xz+9yz+2yz+2yz=\) \item \(-4yz+-8y+7bc=\) \item \(2x+2y+2y=\) \item \(-4xy+2x+-1xyz+-4abc=\) \item \(7yz+4yz+4yz=\) \item \(-1yz+-2xy+-2xy=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 110. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-1y+-5x+-5x=\) \item \(-3z+9xz+9y=\) \item \(1y+-8y+8abc=\) \item \(7z+-2xy+-2xy=\) \item \(7xy+1y+-7xyz+-7xyz=\) \item \(-8xy+-4xz+-4x=\) \item \(2x+3x+5ac=\) \item \(-3z+3x+3x=\) \item \(4xy+-9x+8xz+8xz=\) \item \(4xz+1xy+1xy=\) \item \(3y+-1xz+-1xz=\) \item \(-1y+4z+1y+1y=\) \item \(7y+1xz+1xz=\) \item \(6xyz+3z+-9z+1xz+1xz=\) \item \(-1yz+9xz+-4x=\) \item \(1xyz+6x+7ac=\) \item \(1xyz+-2xy+6ab=\) \item \(8yz+-9xyz+-3ab=\) \item \(9xyz+5y+7xy+7xy=\) \item \(8xy+-9y+2xyz+2xyz=\) \item \(-9xyz+6xz+6x=\) \item \(4y+-2xyz+-8bc=\) \item \(9xy+-1xz+4x+4x=\) \item \(7xy+-5yz+-9xy+9xy+9xy=\) \item \(6yz+1xyz+8yz+-1y=\) \item \(-8y+-5xz+9yz+1xy+1xy=\) \item \(2z+8y+-4z=\) \item \(-8xyz+8xz+3xyz+-8x+-8x=\) \item \(-6y+2y+6xyz+6xyz=\) \item \(-4xy+-2xz+-2xz=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 111. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(6abc+-4c+4bc+4bc=\) \item \(9ac+-2ac+-2ac=\) \item \(1a+9abc+6a+5abc+5abc=\) \item \(-2abc+-8ac+-8ac=\) \item \(-4bc+9a+9a=\) \item \(6a+-9abc+1b+-1ac+-1ac=\) \item \(5b+5bc+4bc+7ac+7ac=\) \item \(-6abc+4ab+-9a+-9a=\) \item \(-9c+6b+-6c=\) \item \(-4ac+5ab+2ab+-4ab+-4ab=\) \item \(-7ab+6a+-6a+-6a=\) \item \(3ac+-2abc+1bc=\) \item \(-2ab+-1abc+-1abc=\) \item \(-1bc+7ab+7ab=\) \item \(-8bc+-7a+4c=\) \item \(1ab+-5ac+-5ac=\) \item \(-9c+-8abc+-8abc=\) \item \(2a+-5bc+2ac=\) \item \(4ac+-9c+-2a+2bc+2bc=\) \item \(-8ab+-3b+-8a=\) \item \(2abc+8bc+8bc=\) \item \(-8a+-4a+4c+1abc=\) \item \(6abc+-4c+3ac+2abc=\) \item \(-3ab+4ab+4ab=\) \item \(-3abc+4a+4a=\) \item \(-4bc+-1bc+-4bc+-4bc=\) \item \(-4ab+-2a+6bc+6bc=\) \item \(-6ab+-2b+-3abc+9abc+9abc=\) \item \(3bc+2b+5b+7a=\) \item \(-7abc+6ac+4bc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 113. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(5xy+-2xz+8z+-3abc=\) \item \(8xz+-9xz+-9xz=\) \item \(-8x+-4x+-1abc=\) \item \(2z+-1xy+-1xy=\) \item \(4xz+-5yz+-1xy+-1xy=\) \item \(5xy+-2y+-2y=\) \item \(2z+3xyz+3xyz=\) \item \(4z+3yz+-6z+-6z=\) \item \(7z+2yz+-6z=\) \item \(2y+-3xy+-3xy=\) \item \(-7yz+3y+4abc=\) \item \(-7xz+9z+9z=\) \item \(-7z+-3xyz+-3xyz=\) \item \(-6xz+2yz+2yz=\) \item \(5xy+2x+-1xyz+-1xyz=\) \item \(-3y+9y+7xyz+6abc=\) \item \(4x+4y+8ac=\) \item \(-3xy+6xyz+6xyz=\) \item \(8xy+5x+2xy+2abc=\) \item \(6yz+-8z+6z=\) \item \(-1xy+-4z+-4z=\) \item \(3z+-6xz+3abc=\) \item \(-4xz+7xy+6z=\) \item \(7z+-7y+1y+1y=\) \item \(5x+6yz+6yz=\) \item \(-8x+-1xy+9y+9y=\) \item \(9xy+1xyz+1xyz=\) \item \(-5z+-3z+-3z=\) \item \(-9yz+-2yz+-1bc=\) \item \(-2yz+8x+8x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 113. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(4m+-5kn+6n+-5k+-5k=\) \item \(4km+-4m+8kmn+-6xz=\) \item \(-3kn+-7kmn+-7kmn=\) \item \(-3kmn+-7n+5x=\) \item \(-5kmn+7mn+-4x=\) \item \(3k+7n+7n=\) \item \(-3mn+6n+9kn+9kn=\) \item \(-3n+2m+2m=\) \item \(7mn+-2mn+4z=\) \item \(-2kn+-9km+-3k+-3k=\) \item \(7m+-4kn+-1kn+-6xy=\) \item \(9kmn+-6n+-2kmn+6k+6k=\) \item \(-7mn+2mn+-9xy=\) \item \(-1kmn+-8k+-2kmn+-2kmn=\) \item \(4kmn+9m+6xy=\) \item \(-1n+7n+7n=\) \item \(2kn+-7kmn+9m+7yz=\) \item \(2k+4n+-7k+-1mn+-1mn=\) \item \(-1mn+3mn+4mn+-5kmn+-5kmn=\) \item \(-4kmn+-7m+-7m=\) \item \(7k+1kmn+1kmn=\) \item \(3mn+-3n+-3n=\) \item \(1kn+-5k+-5m+5kmn+5kmn=\) \item \(2km+2m+2yz=\) \item \(3m+-7km+-4m+-8z=\) \item \(7kmn+-2k+-5mn+-5mn=\) \item \(7n+-3mn+-3mn=\) \item \(-6k+3m+3m=\) \item \(9kmn+-8kn+-4z=\) \item \(-9mn+8kn+-3x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 115. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(9c+-4ab+-4ab+-4ab=\) \item \(1a+3bc+5ac+5ac=\) \item \(-1ac+1ac+2ac+-9c=\) \item \(5c+-3ab+4bc+1c+1c=\) \item \(-8b+-3ac+-3ac=\) \item \(2b+5c+5c=\) \item \(-9b+-2a+-8ac+7c=\) \item \(-9ac+4ab+4ab=\) \item \(2b+-1b+-5ab+-7ac=\) \item \(-2b+-5a+-7ac=\) \item \(-8b+9ac+9ac=\) \item \(-1a+6ab+3a+3a=\) \item \(-6a+-6b+-6bc=\) \item \(2ac+4ac+-2abc+-3c=\) \item \(-7bc+8abc+7abc+7abc=\) \item \(-8abc+-7bc+-7bc=\) \item \(-2b+-8a+-5c+-5c=\) \item \(1a+7abc+7abc=\) \item \(-4c+-7abc+-7bc+-4c+-4c=\) \item \(-6a+-4b+-7bc+-7bc=\) \item \(4c+4ac+1ab+1ab=\) \item \(3c+-5abc+-8ab=\) \item \(-2bc+3bc+-5ac+-5a=\) \item \(4bc+-9ab+-9ab=\) \item \(-7bc+8b+8b=\) \item \(-3a+-5a+-5a=\) \item \(3ac+-9ab+-9ab=\) \item \(8abc+1ac+3bc=\) \item \(-6bc+-5ab+-8b=\) \item \(5abc+7ab+7ab=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 116. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-3b+-9bc+6a+-5c+-5c=\) \item \(7c+8ac+8ac=\) \item \(-4b+-1c+-1c=\) \item \(7abc+4ac+-1b=\) \item \(5bc+-9abc+-1c=\) \item \(-6a+1bc+-6abc=\) \item \(-9c+-6bc+-1c=\) \item \(9c+-6abc+-6abc+-6abc=\) \item \(8ab+8b+8b=\) \item \(1ab+4ab+6abc+9bc+9bc=\) \item \(-9ac+-9bc+-9bc=\) \item \(1bc+-5c+-5c=\) \item \(1c+8ab+9b=\) \item \(-2ab+9b+-6c+-6c=\) \item \(7ac+9c+-4ab+-7ab=\) \item \(-7bc+6ac+-9c+3ac=\) \item \(9a+2bc+5c=\) \item \(-9abc+3b+-8ab+-8ab=\) \item \(-1b+-5ab+-6a=\) \item \(9c+2a+2a=\) \item \(1c+-2a+-2a=\) \item \(3abc+-8abc+-6a+-6a=\) \item \(5bc+-1bc+5ab=\) \item \(7ac+6c+2c=\) \item \(-8b+-6ac+-6ac=\) \item \(-9bc+-2abc+-2abc=\) \item \(9bc+-5a+-5a=\) \item \(4b+9ab+9ab=\) \item \(5ab+-1bc+-6b+-6b=\) \item \(2abc+-9b+5bc+-1ac=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 117. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-6z+9xyz+9xz+4x=\) \item \(7x+7xyz+-7xz+-7xz=\) \item \(-6yz+-3xy+-4x+-9bc=\) \item \(8yz+-8xy+-8xy=\) \item \(-1yz+2y+8y+8y=\) \item \(6yz+-8z+-2xy+-2xy=\) \item \(5xy+2z+8bc=\) \item \(-4x+8x+3x=\) \item \(-4xy+3xyz+3xyz=\) \item \(4y+-1yz+-9x=\) \item \(5xy+-5x+-5x=\) \item \(-8x+-5x+6xyz+1x+1x=\) \item \(-6xz+-1xy+-5bc=\) \item \(-5y+5xy+5xy=\) \item \(-9yz+-8xy+5xyz+5xyz=\) \item \(-9xz+-2xy+-5xy+-5xy=\) \item \(6y+-6z+-6z=\) \item \(3xyz+2yz+3ab=\) \item \(3yz+8z+8z=\) \item \(7xz+-7y+-7y=\) \item \(2x+7yz+-9y+9y+9y=\) \item \(5y+4y+6z=\) \item \(5xz+8yz+-9z+-1x+-1x=\) \item \(-9xz+-3yz+-2ac=\) \item \(1xy+-1xz+6xy+6xy=\) \item \(-3y+-3xz+4ac=\) \item \(-9y+4x+4x=\) \item \(-5z+2y+-7xz+-2xyz+-2xyz=\) \item \(3y+8x+9y+2ac=\) \item \(-2xy+-9x+-9x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 117. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(6z+6z+6z=\) \item \(-3xz+-9xz+-9xz=\) \item \(-5z+8xz+1z+1z=\) \item \(-9xz+-6z+-6z=\) \item \(5z+6yz+6yz=\) \item \(-8y+-9xyz+5x+8xz+8xz=\) \item \(2xy+3z+-6z+2z+2z=\) \item \(-9x+-1xz+7ac=\) \item \(-9xy+8y+-8xy+-8xy=\) \item \(3yz+-6yz+-6yz=\) \item \(9yz+-6xy+1xyz+1xyz=\) \item \(-3z+-7xy+-7xy=\) \item \(3y+3xyz+-8xy+-7bc=\) \item \(4xz+5yz+5yz=\) \item \(3yz+-9x+-9x=\) \item \(6xz+9xz+-6xz+-6xz=\) \item \(-9y+-6xz+9z+9z=\) \item \(6xyz+-4xz+-4xz=\) \item \(2xyz+-3xy+-8y+-1abc=\) \item \(4xz+-6xz+5x+6abc=\) \item \(-9x+-5x+-2z=\) \item \(2xz+-9xy+-5x+1abc=\) \item \(9yz+-6xz+-6xz=\) \item \(8x+1y+3yz+3yz=\) \item \(9xy+-6y+-6y=\) \item \(9xyz+-2y+4z+8ac=\) \item \(9x+7xy+7xy=\) \item \(7x+6xz+-5ac=\) \item \(4x+-5xz+-8xz+-8xz=\) \item \(8z+-2xy+-8z=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 119. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(8bc+-2bc+-1ac+2ac=\) \item \(-5abc+-7b+-5c+-5c=\) \item \(-1ac+-1bc+-1bc=\) \item \(5b+8c+8c=\) \item \(3ab+6b+-8a+-5b=\) \item \(-3bc+1ac+-8ab+-8ab=\) \item \(-5ab+1ac+-4c=\) \item \(5abc+4ac+4ac=\) \item \(5ab+-8b+7ac+7ac=\) \item \(3bc+1ab+1ab=\) \item \(4ac+-5c+-7ac+-7ac=\) \item \(2ab+1a+-7ac+5bc=\) \item \(3c+3ac+-5b+-5b=\) \item \(7a+-2bc+7c+-9abc=\) \item \(9bc+-6ab+-6ab=\) \item \(3ab+-3c+-9ab+-9ab=\) \item \(-8ab+9c+1bc+1bc=\) \item \(-9a+-8ac+4b=\) \item \(3ab+1ac+-2a+2abc=\) \item \(6abc+-1bc+4bc+4bc=\) \item \(-6ac+3a+7ab=\) \item \(2ac+-7ab+1bc+6abc=\) \item \(-5bc+3bc+3bc=\) \item \(-5a+8ab+8ab=\) \item \(-6abc+-5abc+-9bc+-9bc=\) \item \(8b+2ab+2ab=\) \item \(2abc+-5bc+-5bc=\) \item \(-2a+-4bc+-4bc=\) \item \(-6a+-9a+3a+-3abc=\) \item \(-2b+5c+6abc+8abc+8abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 119. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-6kmn+8mn+2m+2m=\) \item \(-8kmn+-4n+-4n=\) \item \(-2m+2m+2m=\) \item \(9mn+-7k+-1n+-6k+-6k=\) \item \(5kmn+2kn+-5z=\) \item \(1k+-4m+-4m=\) \item \(-8k+-2kmn+-2kmn=\) \item \(3km+6kn+6k+9y=\) \item \(7m+8km+8km=\) \item \(-9kn+-1m+3mn+-9x=\) \item \(-6m+-9mn+-8y=\) \item \(-4k+-8km+9yz=\) \item \(7k+-9mn+-7yz=\) \item \(-7m+4kn+4kn=\) \item \(6n+1k+1k=\) \item \(-9m+-5kmn+-7k+-7k=\) \item \(5mn+8kn+1km+-4yz=\) \item \(2kmn+7k+-3m+-3m=\) \item \(-8kn+-5kn+4xy=\) \item \(-1km+-7k+5n+-4abc=\) \item \(-1km+2m+2m=\) \item \(-2kmn+-8kn+-3m+-3m=\) \item \(3mn+-8k+5n+-5abc=\) \item \(6km+-9mn+1kmn+2k+2k=\) \item \(4n+3km+-8m+-8m=\) \item \(-3kn+-6m+-5kmn+-4y=\) \item \(4k+-7m+7mn+-8kn+-8kn=\) \item \(-7n+-3km+-3km=\) \item \(-3k+-8n+-8n=\) \item \(1kn+-5mn+4kn+4kn=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 120. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(8y+5xyz+2z=\) \item \(7xz+9z+1abc=\) \item \(-3yz+-5z+-7xz+-7xz=\) \item \(3z+-2xyz+9yz+9yz=\) \item \(-9z+-1xy+-1xy=\) \item \(-1z+-8z+9xyz+9xyz=\) \item \(-6y+7xy+7xy=\) \item \(7yz+2y+4yz+4yz=\) \item \(-2z+8xz+8xz=\) \item \(-4xy+7xz+7xz=\) \item \(-4xy+3xz+3xz=\) \item \(3y+-2z+-4x=\) \item \(-8xy+-7y+8yz+1xy+1xy=\) \item \(5y+7xy+7xy=\) \item \(9x+2x+-8z+-8ac=\) \item \(-5z+-3xy+6x+6x=\) \item \(9xz+5x+5x=\) \item \(-2x+6xy+-9y+4xy+4xy=\) \item \(-9z+9z+-8xy+-8xy=\) \item \(6yz+-3xyz+-2y=\) \item \(-6x+7yz+7yz=\) \item \(2z+-4z+-4z=\) \item \(7x+5yz+5yz=\) \item \(9yz+-3y+1z+1z=\) \item \(-6z+3xz+-4z+-6ac=\) \item \(-2yz+-2xy+-6yz+8y+8y=\) \item \(2yz+-4yz+-3z=\) \item \(-1xyz+-8y+-8y=\) \item \(7xyz+-9z+-7x+-7x=\) \item \(1yz+-3yz+-3yz=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 121. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-1xy+-9yz+-9yz=\) \item \(-9x+-4xy+-5xz+7bc=\) \item \(-9xz+7yz+-6xy+4x=\) \item \(-4yz+-4y+-4y=\) \item \(-8xyz+6y+-3yz+-3yz=\) \item \(-3xy+9xy+6x=\) \item \(9yz+9yz+-2y=\) \item \(5y+-1xz+9z=\) \item \(-3yz+1xz+1xz=\) \item \(1x+9yz+-7y+-8y=\) \item \(7y+-4xy+3abc=\) \item \(1x+-3yz+-3yz=\) \item \(-4xyz+-9yz+7y=\) \item \(-3x+1xyz+1xyz=\) \item \(9xyz+7z+8bc=\) \item \(8y+5xy+-5xyz+-5xyz=\) \item \(-9xy+2z+-9ab=\) \item \(2z+9yz+-6ab=\) \item \(5xyz+-5xy+-1yz+-1yz=\) \item \(-1xy+-5z+-5z=\) \item \(5xyz+-9yz+8y+-7ab=\) \item \(2x+-5z+8y+-5yz+-5yz=\) \item \(7z+1x+1x=\) \item \(8xyz+9xyz+-8ac=\) \item \(5xz+-6z+-4x=\) \item \(1y+-9x+-9x=\) \item \(-1z+-1z+-5yz+-5yz=\) \item \(2z+-6xy+9xyz+9xyz=\) \item \(-8yz+-9xyz+-9xyz=\) \item \(-1yz+2y+4z=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 123. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(9x+-6xy+4y+4yz+4yz=\) \item \(-4y+-3xz+-5x+-5x=\) \item \(-1xz+-8yz+7z+7z=\) \item \(4z+8xy+8xy=\) \item \(-2xz+-4xz+9z=\) \item \(-9xyz+9yz+9yz=\) \item \(-8z+-1yz+-3yz+-3yz=\) \item \(-6x+-6yz+-4z+-2x+-2x=\) \item \(-3xyz+3xyz+7abc=\) \item \(-1y+2y+8xy+-1xy+-1xy=\) \item \(9xz+9xyz+3z+3z=\) \item \(-1xz+-2xyz+-6z+9y=\) \item \(-9y+2xz+2xz=\) \item \(3y+-6x+8xz+8xz=\) \item \(-6x+6x+6x=\) \item \(-7y+4yz+4yz=\) \item \(-8x+4xyz+2yz+2yz=\) \item \(-4yz+3y+3y=\) \item \(-2x+8yz+-6xyz+-7ac=\) \item \(3yz+-4y+-1x+-1x=\) \item \(-7xyz+8xz+-9z+-9z=\) \item \(1xz+-5xz+3xy+3xy=\) \item \(-8z+-5z+-5z=\) \item \(5z+-6xy+-6xy=\) \item \(2yz+-8z+9xz+4x=\) \item \(2yz+9xz+9xz=\) \item \(3yz+-4xz+3x+3x=\) \item \(-8yz+7yz+7yz=\) \item \(-6xy+-4y+-4y=\) \item \(6z+-9xyz+-1z+8abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 124. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(2m+-2n+4kmn+4kmn=\) \item \(9kn+4mn+5m+-2yz=\) \item \(-6m+-7m+-1km+-6x=\) \item \(-2n+-5n+-5n=\) \item \(9km+-3mn+-3mn=\) \item \(-2m+-9km+-9km=\) \item \(-1km+7km+7km=\) \item \(-4k+1kmn+2m+7kmn+7kmn=\) \item \(-4kmn+-3kn+-3kn=\) \item \(2kmn+8mn+8mn=\) \item \(8kmn+-2n+-4m+-4m=\) \item \(9kn+-3m+2n+1x=\) \item \(5k+6kmn+1z=\) \item \(-7n+-8m+-5m+-5m=\) \item \(-8kmn+4m+4km+4km=\) \item \(-5n+7k+7k=\) \item \(-5k+-1mn+4kmn+3k+3k=\) \item \(9mn+-9kn+6yz=\) \item \(9n+-6k+-3n+-3n=\) \item \(3k+5k+-1n+-1n=\) \item \(8m+2n+-3k+-3k=\) \item \(2kn+-4n+-1kmn+-1kmn=\) \item \(-5kmn+1n+-2m+-1kmn+-1kmn=\) \item \(5k+8kmn+-3n+-5km+-5km=\) \item \(8kmn+-3n+4xz=\) \item \(2k+7k+5xy=\) \item \(-8n+-5n+-3n+-1m+-1m=\) \item \(-8mn+-8mn+6km+6km=\) \item \(7kn+9m+8k+5z=\) \item \(-6n+-3n+7kn+-2kn+-2kn=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 124. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(6xy+3y+8y=\) \item \(5xz+-1xz+-1xz=\) \item \(-5x+-4z+-3x+8z=\) \item \(3x+-5yz+-5yz=\) \item \(-9xz+-4x+-4x=\) \item \(9x+-4yz+-4yz=\) \item \(9z+-1xy+5x+5x=\) \item \(9xyz+1xy+8ab=\) \item \(7yz+9x+-8xyz+-4abc=\) \item \(-4xyz+4y+4y=\) \item \(-3yz+-7z+-4ac=\) \item \(-8z+-7xy+3bc=\) \item \(-7x+8x+-1z+-1z=\) \item \(7yz+8x+3x+3x=\) \item \(-5xz+2xy+-4y+-1ab=\) \item \(-4xz+3xy+3x+3x=\) \item \(7yz+-7z+9bc=\) \item \(-8xy+1xz+-1xy+-1xy=\) \item \(-7z+9xy+9xy=\) \item \(6y+-2y+-2y=\) \item \(4z+9yz+3z=\) \item \(-9y+9xy+-7x=\) \item \(6yz+-7xyz+-7bc=\) \item \(-3xz+7x+-9xyz+-9xyz=\) \item \(9y+-8z+-8z=\) \item \(5yz+-3xy+-3xy=\) \item \(-9xy+3yz+-7z+-7z=\) \item \(-8xyz+3xyz+9xz+-4abc=\) \item \(8y+9xy+3bc=\) \item \(5xyz+2z+-2xz+-2xz=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 125. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(1xy+-1z+-1z=\) \item \(4yz+7y+4xyz+4xyz=\) \item \(1xz+-9xyz+-9xyz=\) \item \(-3yz+4x+4x=\) \item \(2xz+9x+5xy+-9x+-9x=\) \item \(-6yz+-8z+1x+8x=\) \item \(-1xyz+-7z+-7z+7ac=\) \item \(-3y+8xy+-6z=\) \item \(6xz+-1y+-1y=\) \item \(-5yz+-2x+8xz+8xz=\) \item \(-3xz+-7xz+-3bc=\) \item \(8xyz+-4yz+-4yz=\) \item \(6z+5yz+-2xyz+5ac=\) \item \(6x+1yz+1z=\) \item \(1z+-5xy+-4xz+-4xz=\) \item \(-7x+-2xyz+-2xyz=\) \item \(1x+1y+1y=\) \item \(-3y+-8y+8y+8y=\) \item \(1xyz+8z+5abc=\) \item \(3y+-1x+-1x=\) \item \(-5xz+-5yz+-2bc=\) \item \(-9y+2yz+2yz=\) \item \(-8z+-3x+-3x=\) \item \(8z+6z+9x+-2x=\) \item \(-7y+5z+8x+4x+4x=\) \item \(-8xyz+3x+-5z=\) \item \(3xyz+-9xyz+-4xyz+-4xz+-4xz=\) \item \(-1xz+-2xz+6ac=\) \item \(8y+-2z+-1xyz+-1xyz=\) \item \(8xyz+-3xy+4xy+-8yz+-8yz=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 126. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(2bc+-1ac+9abc+-6abc=\) \item \(-8abc+8ac+8ac+8ac=\) \item \(-3ac+9bc+-2c+7bc=\) \item \(-4b+-1c+6abc+-1abc+-1abc=\) \item \(1c+-7ab+-5c=\) \item \(-1b+-4ac+-4ac=\) \item \(3ac+-1a+-8a+-9c=\) \item \(6a+-5bc+-5bc=\) \item \(-8a+-1bc+-1bc=\) \item \(5c+1c+-7a+5b=\) \item \(-4a+-9ac+7ac+2a+2a=\) \item \(-2c+-5bc+-5bc=\) \item \(4ab+9ac+8abc+5bc=\) \item \(-7bc+4ab+4ab=\) \item \(9ac+-3a+-2ac=\) \item \(-2c+8abc+8abc=\) \item \(-1abc+8ac+8ac=\) \item \(4b+5bc+5bc=\) \item \(-7a+-3bc+-3bc=\) \item \(3a+-7b+-7b=\) \item \(8ac+-1c+-1c=\) \item \(-4a+-7ac+-7ac=\) \item \(1ab+2a+2a=\) \item \(7a+6bc+-4ac+-4ac=\) \item \(6b+-9bc+-5ac=\) \item \(1a+3ac+-5b=\) \item \(7a+6c+-3c+3a=\) \item \(1b+8ab+-4c=\) \item \(9c+-4ac+-4ac=\) \item \(-7c+-4a+-4a=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 127. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-5ac+-7c+6ac+2c=\) \item \(4ac+1ac+-8abc+-8abc=\) \item \(4b+9ab+9ab=\) \item \(1abc+9bc+5c+5c=\) \item \(-7abc+9ab+-4bc+-4bc=\) \item \(6c+-9c+6bc+6bc=\) \item \(3a+3b+-4ac=\) \item \(2bc+8ac+9ab+9ab=\) \item \(-6ac+7abc+2ab+-3ac+-3ac=\) \item \(-5c+-8bc+6a+6a=\) \item \(7ac+-2b+-2b=\) \item \(-8a+5ab+8bc+8bc=\) \item \(-6bc+-5ab+-5ab=\) \item \(3ac+-2a+2abc=\) \item \(-4a+-5ac+-1ac+9ab+9ab=\) \item \(-7ab+3abc+3abc+-1b=\) \item \(-8c+-8c+-8c=\) \item \(2ab+-6a+-6ac=\) \item \(3bc+-6c+9abc+9abc=\) \item \(-6b+8ab+8ab=\) \item \(1ac+1ac+1ac=\) \item \(-1a+5ac+5ac=\) \item \(-7abc+9a+-2c+5bc=\) \item \(-2c+-1abc+-1abc=\) \item \(-1a+-3b+-3b=\) \item \(2a+-5c+-6c+7a+7a=\) \item \(5c+8c+-5ac=\) \item \(-4a+6ac+6ac=\) \item \(4c+-7abc+-2a+-5c=\) \item \(-4c+-3abc+-3abc=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 128. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-9xy+-2yz+3yz+3yz=\) \item \(5xyz+3yz+4yz+-5xy+-5xy=\) \item \(3x+2xyz+2xyz=\) \item \(-3z+2xy+-4x+-4x=\) \item \(4z+9xyz+3xy+-4z+-4z=\) \item \(8yz+5z+-3x+1yz+1yz=\) \item \(4xyz+6z+6xz+1x+1x=\) \item \(4xyz+-6y+4xy+7bc=\) \item \(-2y+9xz+-4x+-4x=\) \item \(5x+-1xyz+9z+-2xz+-2xz=\) \item \(5x+-6x+-5xy+-5xy=\) \item \(2xz+-6x+-6x=\) \item \(-4xz+-2xy+5xy+5xy=\) \item \(-6xy+-3xyz+-3xyz=\) \item \(-2xz+-5x+-1y+-1xyz+-1xyz=\) \item \(3x+-6y+-6y=\) \item \(2xyz+6y+5x+-8ac=\) \item \(5xz+2z+2z=\) \item \(4yz+4xyz+-9ac=\) \item \(5yz+-7x+-7x=\) \item \(5xy+-9x+-9x=\) \item \(3xyz+3y+3y=\) \item \(-1z+-4yz+6y=\) \item \(-6x+3xz+4abc=\) \item \(7xz+-1xyz+9ac=\) \item \(5xy+-8xyz+2xyz+2xyz=\) \item \(-3xyz+-6y+-6y=\) \item \(8xz+4x+-1xz+-5xyz+-5xyz=\) \item \(4y+-6xyz+-1y+-5x=\) \item \(6xyz+-9xyz+-5x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 130. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-8xz+6xz+6xz=\) \item \(2xy+-9z+1y+1y=\) \item \(-4xz+-9xy+4yz+4yz=\) \item \(-2xy+-1xyz+-4z+-8y+-8y=\) \item \(5xz+-1yz+-1yz=\) \item \(3xy+2xy+-3x=\) \item \(5xyz+-9xz+1ac=\) \item \(1xy+-3xy+-3xy=\) \item \(-1x+7xz+7xz=\) \item \(-7y+-2xyz+-2xyz=\) \item \(-5x+-4x+-4ac=\) \item \(4z+2y+-4xyz+9xyz+9xyz=\) \item \(5yz+6xy+6xy=\) \item \(1z+3x+-7abc=\) \item \(2y+-4xz+-3xz+7x=\) \item \(8x+9z+9z=\) \item \(-5x+5xyz+-2y+-2y=\) \item \(-9xy+1xyz+4bc=\) \item \(9y+-8xy+6xz+-8z=\) \item \(-6xyz+1yz+1yz=\) \item \(3yz+8x+-9x+4y+4y=\) \item \(3xz+7xyz+7xyz=\) \item \(-9z+-6x+-9xy+8abc=\) \item \(-5x+-6x+8ab=\) \item \(-2z+-6xy+-6xy=\) \item \(-3y+-5yz+4ac=\) \item \(-3xz+9xy+5x+5x=\) \item \(6z+-3z+-1xz+-4y=\) \item \(6xyz+3x+3bc=\) \item \(7z+3yz+3yz=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 130. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(9n+1kmn+1kmn=\) \item \(-8k+3km+2mn+8x=\) \item \(6km+-3kn+-7m+2m+2m=\) \item \(-2k+-3kmn+-3kmn=\) \item \(-8km+9kn+-4km+-4km=\) \item \(-7kmn+-8mn+1y=\) \item \(-1km+-1kmn+-1kmn=\) \item \(2n+-7km+-7km=\) \item \(6m+-4m+8m+-7x=\) \item \(-7kn+-6m+3n+3y=\) \item \(-7kn+4mn+-6mn+8xz=\) \item \(-6m+6kn+-2x=\) \item \(2mn+-4k+3kn+-2k+-2k=\) \item \(-4m+-5kn+-5kn=\) \item \(3kn+6k+3km+-5xz=\) \item \(-4mn+6mn+6mn=\) \item \(-1kn+6mn+6mn=\) \item \(2kn+2kn+-6kmn+-6kmn=\) \item \(2kmn+5mn+5mn=\) \item \(-2mn+-1n+-1n=\) \item \(-8k+-2kmn+-2kmn=\) \item \(4km+8n+9mn+9kn+9kn=\) \item \(1k+4m+7m+7m=\) \item \(-6k+-2kmn+9abc=\) \item \(-5n+-2km+-7xy=\) \item \(8m+-5km+7mn+-4abc=\) \item \(-4mn+-3m+8m+-5n+-5n=\) \item \(-3m+-8kmn+-8kmn=\) \item \(-1kmn+1k+-9x=\) \item \(-7mn+-7kn+7kmn+7xy=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 132. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-2yz+-5y+-5y=\) \item \(5yz+-2x+-4xy+9y=\) \item \(-3xz+1z+3z+-1bc=\) \item \(1z+-5xyz+-6y+-6y=\) \item \(-7z+-8yz+4bc=\) \item \(-8xyz+-4xyz+-4xyz=\) \item \(7z+-3xy+-3xy=\) \item \(7y+5xyz+5xyz=\) \item \(3z+-7yz+-3ab=\) \item \(-8xyz+-9y+-1yz+3abc=\) \item \(6y+5z+-4x+-3yz+-3yz=\) \item \(-7z+2y+2y=\) \item \(-4xyz+9yz+-3z+5x+5x=\) \item \(8x+6xyz+-5xyz+-5xyz=\) \item \(-5xy+2xy+2xy=\) \item \(-1z+5xz+1y=\) \item \(-6x+-4y+-4y=\) \item \(4z+4xy+-4xz+1ac=\) \item \(-8x+6x+-1x+-1x=\) \item \(-7x+-7xyz+-7xyz=\) \item \(-6y+-4xy+-4xy=\) \item \(-2xy+5y+-1x+-1x=\) \item \(8yz+-1xyz+-4xy+9yz+9yz=\) \item \(9yz+-3xz+-3xz=\) \item \(3x+2x+2x=\) \item \(-1xy+4y+-6xz+-6xz=\) \item \(-8xz+-4y+-5yz+-5yz=\) \item \(-7xz+-6x+1abc=\) \item \(4xy+6xy+6xy=\) \item \(4x+-1y+-1y=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 132. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(3ab+-6c+4c+4c=\) \item \(-5b+1ac+-3c+-6c=\) \item \(-4abc+-8c+-8c=\) \item \(-1c+-2bc+-7b=\) \item \(2ac+5ab+-7b+-7b=\) \item \(-2ac+-6ac+7ac+6ab=\) \item \(-6bc+-2c+-6ab=\) \item \(9ac+6bc+3bc+3bc=\) \item \(2c+8a+-6b=\) \item \(8ac+7abc+-8abc+1c=\) \item \(3bc+7ab+-4b+-3abc+-3abc=\) \item \(-4b+8abc+8abc=\) \item \(1ac+-1b+9c+9c=\) \item \(-1ac+7b+7b=\) \item \(-7c+-3ac+-3ac=\) \item \(-2abc+6ac+2b=\) \item \(2a+-8c+-8c=\) \item \(7a+-7ac+-4abc=\) \item \(9b+-2ab+-2ab=\) \item \(-9b+-3ab+-2bc=\) \item \(7ab+7b+-7abc+-1c=\) \item \(-5ab+-5a+-5a=\) \item \(-8abc+6a+6a=\) \item \(7b+2b+-2ab+-2ab=\) \item \(-6abc+3c+-3a+-3a=\) \item \(-7c+2ab+8c=\) \item \(9ab+5b+6bc+6bc=\) \item \(4ab+2ab+-6a+-6a=\) \item \(9bc+5ab+4b+3b+3b=\) \item \(8abc+-5ac+-5ac=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 133. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(-4k+-7m+-4xz=\) \item \(2mn+-2mn+5k+8z=\) \item \(5kmn+7km+-2km+-2km=\) \item \(-1k+2m+-7kn+-7kn=\) \item \(-3m+4kn+9n+9n=\) \item \(7kmn+-6k+-4kn+-9yz=\) \item \(6kmn+-2n+4xy=\) \item \(2mn+-8km+-8km=\) \item \(-7mn+-1n+-1n=\) \item \(1kmn+-6m+3xz=\) \item \(6mn+3kn+5yz=\) \item \(6kn+-7kn+2kmn+-9xy=\) \item \(-1m+1n+5kmn+6mn+6mn=\) \item \(9m+-1km+9kn+9kn=\) \item \(-5mn+-9k+6n+6n=\) \item \(9kmn+-8kmn+8m+-4z=\) \item \(9n+-6k+-6k=\) \item \(-1kn+5n+7y=\) \item \(8kmn+9k+2x=\) \item \(-5kmn+5kn+3mn+3kmn+3kmn=\) \item \(3km+7m+7yz=\) \item \(-8kmn+-6km+-6km=\) \item \(-4m+7k+7k=\) \item \(-3kmn+-1kn+9x=\) \item \(-1km+9n+-2m+1z=\) \item \(-9k+2kn+-3y=\) \item \(-3mn+6n+6n=\) \item \(-6kmn+2kn+2kn=\) \item \(-8mn+6n+9n+-1x=\) \item \(-9m+8k+3x=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 135. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(4z+-6yz+-6yz=\) \item \(5xz+4xy+-6xy+-6xy=\) \item \(-7xyz+9xyz+3y+4z=\) \item \(-7xyz+-5x+-5x=\) \item \(-6xy+-1xz+4yz+4yz=\) \item \(4xz+-4xyz+-7xyz+-7xyz=\) \item \(4xz+2xy+2xy=\) \item \(-8y+-1y+-4yz+-4yz=\) \item \(-1xy+4z+1ac=\) \item \(8xy+-5xz+7xyz+7xyz=\) \item \(-1yz+4xz+4xz=\) \item \(8z+-9x+2z+3y+3y=\) \item \(-5yz+-5xy+9z+5yz+5yz=\) \item \(8xyz+7z+7z=\) \item \(-9y+-7yz+-1abc=\) \item \(7x+-5xyz+4x=\) \item \(-3xz+-1x+1y+9y+9y=\) \item \(-1yz+-3x+3x+7y+7y=\) \item \(-6z+3xy+3xy=\) \item \(-1xz+9xyz+9xyz=\) \item \(6x+3yz+3yz=\) \item \(5y+5y+-1y+7abc=\) \item \(-6yz+-8z+-8z=\) \item \(3xy+9x+4z+4z=\) \item \(6xyz+-8y+7z+-7ab=\) \item \(7y+5z+3xz+3y=\) \item \(-6xy+7z+-7y=\) \item \(4z+-6yz+9xz+9xz=\) \item \(2xy+7xy+1x+1x=\) \item \(6z+-1xyz+-1xyz=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 135. Simplify the algebraic expressions.}\\ \begin{multicols}{2} ...