### Overview

### Main description

The Student’s Solutions Manual provides comprehensive, worked-out solutions to the odd-numbered exercises in the Practice Exercise sets; the Problem Recognition Exercises, the end-of-chapter Review Exercises, Answers to the odd-and even-numbered entries to the Chapter Opener Puzzles are also provided.

### Table of contents

**Chapter RStudy Tips**

**Chapter 1Set of Real Numbers**

Section 1.1Fractions

Section 1.2Sets of Numbers and the Real Number Line

Section1.3Exponents, Square Roots, and the Order of Operations

Section1.4Addition of Real Numbers

Section1.5Subtraction of Real Numbers

Problem Recognition Exercises: Addition and Subtraction of Real Numbers

Section1.6Multiplication and Division of Real Numbers

Section1.7Properties of Real Numbers and Simplifying Expressions

Group Activity: Evaluating Formulas Using a Calculator

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Test

**Chapter 2Linear Equations and Inequalities**

Section2.1Addition, Subtraction, Multiplication, and Division Properties of Equality

Section2.2Solving Linear Equations

Section2.3Linear Equations: Clearing Fractions and Decimals

Problem Recognition Exercises: Equations and Expressions

Section2.4Applications of Linear Equations: Introduction to Problem Solving

Section2.5Applications Involving Percents

Section2.6Formulas and Applications of Geometry

Section2.7Mixture Applications and Uniform Motion

Section2.8Linear Inequalities

Group Activity: Computing Body Mass Index (BMI)

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Test

Chapters 1-2 Cumulative Review Exercises

**Chapter 3Graphing Linear Equations in Two Variables**

Section3.1Rectangular Coordinate System

Section3.2Linear Equations in Two Variables

Section3.3Slope of a Line and Rate of Change

Section3.4Slope-Intercept Form of a Line

Problem Recognition Exercises: Linear Equations in Two Variables

Section3.5Point-Slope Formula

Section3.6Applications of Linear Equations and Modeling

Group Activity: Modeling a Linear Equation

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Test

Chapters 1-3 Cumulative Review Exercises

**Chapter 4Systems of Linear Equations in Two Variables**

Section4.1Solving Systems of Equations by the Graphing Method

Section4.2Solving Systems of Equations by the Substitution Method

Section4.3Solving Systems of Equations by the Addition Method

Problem Recognition Exercises: Systems of Equations

Section4.4Applications of Linear Equations in Two Variables

Section4.5Linear Inequalities in Two Variables and Systems of Linear Inequalities in Two
Variables

Group Activity: Creating Linear Models from Data

Chapter 4 Summary
Chapter 4 Review Exercises

Chapter 4 Test

Chapters 1-4 Cumulative Review Exercises

**Chapter 5Polynomials and Properties of Exponents**

Section5.1Exponents: Multiplying and Dividing Common Bases

Section5.2More Properties of Exponents

Section5.3Definitions of b^0 and b^-n

Section5.4Scientific Notation

Section5.5Addition and Subtraction of Polynomials

Section5.6Multiplication of Polynomials and Special Products

Section5.7Division of Polynomials

Problem Recognition Exercises: Operations on Polynomials

Group Activity: The Pythagorean Theorem and a Geometric “Proof”

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Test

Chapters 1-5 Cumulative Review Exercises

**Chapter 6Factoring Polynomials**

Section6.1Greatest Common Factor and Factoring by Grouping

Section6.2Factoring Trinomials of the Form x^2 + bx + c

Section6.3Factoring Trinomials: Trial-and-Error Method

Section6.4Factoring Trinomials: AC-Method

Section6.5Difference of Squares and Perfect Square Trinomials

Section6.6Sum and Difference of Cubes

Problem Recognition Exercises: Factoring Strategy

Section6.7Solving Equations Using the Zero Product Rule

Problem Recognition Exercises: Polynomial Expressions and Polynomial Equations

Section6.8Applications of Quadratic Equations

Group Activity: Building a Factoring Test

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Test

Chapters 1-6 Cumulative Review Exercises

**Chapter 7Rational Expressions**

Section 7.1Introduction to Rational Expressions

Section 7.2Multiplication and Division of Rational Expressions

Section 7.3Least Common Denominator

Section 7.4Addition and Subtraction of Rational Expressions

Problem Recognition Exercises: Operations on Rational Expressions

Section 7.5Complex Fractions

Section 7.6Rational Equations

Problem Recognition Exercises: Comparing Rational Equations and Rational Expressions

Section 7.7Applications of Rational Equations and Proportions

Section 7.8Variation

Group Activity: Computing Monthly Mortgage Payments

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Test

Chapters 1-7 Cumulative Review Exercises

**Chapter 8Radicals**

Section 8.1Introduction to Roots and Radicals

Section 8.2Simplifying Radicals

Section 8.3Addition and Subtraction of Radicals

Section 8.4Multiplication of Radicals

Section 8.5Division of Radicals and Rationalization

Problem Recognition Exercises: Operations on Radicals

Section 8.6Radical Equations

Section 8.7Rational Exponents

Group Activity: Approximating Square Roots

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Test

Chapters 1-8 Cumulative Review Exercises

**Chapter 9Quadratic Equations, Complex Numbers, and Functions**

Section 9.1The Square Root Property

Section 9.2Completing the Square

Section 9.3Quadratic Formula

Problem Recognition Exercises: Solving Different Types of Equations

Section 9.4Complex Numbers

Section 9.5Graphing Quadratic Equations

Section 9.6Introduction to Functions

Group Activity: Maximizing Volume

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Test

Chapters 1-9 Cumulative Review Exercises

**Appendix**

Section A.1Decimals and Percents

Section A.2Mean, Median, and Mode

Section A.3Introduction to Geometry