### 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 R Study Tips**

**Chapter 1 Set of Real Numbers**

Section 1.1 Fractions

Section 1.2 Sets of Numbers and the Real Number Line

Section 1.3 Exponents, Square Roots, and the Order of Operations

Section 1.4 Addition of Real Numbers

Section 1.5 Subtraction of Real Numbers

Problem Recognition Exercises: Addition and Subtraction of Real Numbers

Section 1.6 Multiplication and Division of Real Numbers

Section 1.7 Properties of Real Numbers and Simplifying Expressions

Group Activity: Evaluating Formulas Using a Calculator

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Test

**Chapter 2 Linear Equations and Inequalities**

Section 2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality

Section 2.2 Solving Linear Equations

Section 2.3 Linear Equations: Clearing Fractions and Decimals

Problem Recognition Exercises: Equations and Expressions

Section 2.4 Applications of Linear Equations: Introduction to Problem Solving

Section 2.5 Applications Involving Percents

Section 2.6 Formulas and Applications of Geometry

Section 2.7 Mixture Applications and Uniform Motion

Section 2.8 Linear 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 3 Graphing Linear Equations in Two Variables**

Section 3.1 Rectangular Coordinate System

Section 3.2 Linear Equations in Two Variables

Section 3.3 Slope of a Line and Rate of Change

Section 3.4 Slope-Intercept Form of a Line

Problem Recognition Exercises: Linear Equations in Two Variables

Section 3.5 Point-Slope Formula

Section 3.6 Applications 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 4 Systems of Linear Equations in Two Variables**

Section 4.1 Solving Systems of Equations by the Graphing Method

Section 4.2 Solving Systems of Equations by the Substitution Method

Section 4.3 Solving Systems of Equations by the Addition Method

Problem Recognition Exercises: Systems of Equations

Section 4.4 Applications of Linear Equations in Two Variables

Section 4.5 Linear Inequalities in Two Variables and Systems of Linear Inequalities in TwoVariables

Group Activity: Creating Linear Models from Data

Chapter 4 Summary Chapter 4 Review Exercises

Chapter 4 Test

Chapters 1-4 Cumulative Review Exercises

**Chapter 5 Polynomials and Properties of Exponents**

Section 5.1 Exponents: Multiplying and Dividing Common Bases

Section 5.2 More Properties of Exponents

Section 5.3 Definitions of b^0 and b^-n

Section 5.4 Scientific Notation

Section 5.5 Addition and Subtraction of Polynomials

Section 5.6 Multiplication of Polynomials and Special Products

Section 5.7 Division 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 6 Factoring Polynomials**

Section 6.1 Greatest Common Factor and Factoring by Grouping

Section 6.2 Factoring Trinomials of the Form x^2 + bx + c

Section 6.3 Factoring Trinomials: Trial-and-Error Method

Section 6.4 Factoring Trinomials: AC-Method

Section 6.5 Difference of Squares and Perfect Square Trinomials

Section 6.6 Sum and Difference of Cubes

Problem Recognition Exercises: Factoring Strategy

Section 6.7 Solving Equations Using the Zero Product Rule

Problem Recognition Exercises: Polynomial Expressions and Polynomial Equations

Section 6.8 Applications 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 7 Rational Expressions**

Section 7.1 Introduction to Rational Expressions

Section 7.2 Multiplication and Division of Rational Expressions

Section 7.3 Least Common Denominator

Section 7.4 Addition and Subtraction of Rational Expressions

Problem Recognition Exercises: Operations on Rational Expressions

Section 7.5 Complex Fractions

Section 7.6 Rational Equations

Problem Recognition Exercises: Comparing Rational Equations and Rational Expressions

Section 7.7 Applications of Rational Equations and Proportions

Section 7.8 Variation

Group Activity: Computing Monthly Mortgage Payments

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Test

Chapters 1-7 Cumulative Review Exercises

**Chapter 8 Radicals**

Section 8.1 Introduction to Roots and Radicals

Section 8.2 Simplifying Radicals

Section 8.3 Addition and Subtraction of Radicals

Section 8.4 Multiplication of Radicals

Section 8.5 Division of Radicals and Rationalization

Problem Recognition Exercises: Operations on Radicals

Section 8.6 Radical Equations

Section 8.7 Rational Exponents

Group Activity: Approximating Square Roots

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Test

Chapters 1-8 Cumulative Review Exercises

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

Section 9.1 The Square Root Property

Section 9.2 Completing the Square

Section 9.3 Quadratic Formula

Problem Recognition Exercises: Solving Different Types of Equations

Section 9.4 Complex Numbers

Section 9.5 Graphing Quadratic Equations

Section 9.6 Introduction 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.1 Decimals and Percents

Section A.2 Mean, Median, and Mode

Section A.3 Introduction to Geometry