PREFACE

APPLICATIONS INDEX

1 The Real Numbers

1.1 Sets

1.2 The Real Numbers

1.3 Operations on the Set of Real Numbers

1.4 Evaluating Expressions and the Order of Operations

1.5 Properties of the Real Numbers

1.6 Using the Properties

Chapter 1 Wrap-Up

• Summary

• Enriching Your Mathematical Word Power

• Review Exercises

• Chapter 1 Test

• Critical Thinking

2 Linear Equations and Inequalities in One Variable

2.1 Linear Equations in One Variable

2.2 Formulas and Functions

2.3 Applications

2.4 Inequalities

2.5 Compound Inequalities

2.6 Absolute Value Equations and Inequalities

Chapter 2 Wrap-Up

• Summary

• Enriching Your Mathematical Word Power

• Review Exercises

• Chapter 2 Test

• Making Connections: A review of Chapters 1-2

• Critical Thinking

3 Linear Equations and Inequalities in Two Variables

3.1 Graphing Lines in the Coordinate Plane

3.2 Slope of a Line

3.3 Three Forms for the Equation of a Line

3.4 Linear Inequalities and Their Graphs

3.5 Functions and Relations

Chapter 3 Wrap-Up

• Summary

• Enriching Your Mathematical Word Power

• Review Exercises

• Chapter 3 Test

• Making Connections: a review of Chapters 1-3

• Critical Thinking

4 Systems of Linear Equations

4.1 Solving Systems by Graphing and Substitution

4.2 The Addition Method

4.3 Systems of Linear Equations in Three Variables

4.4 Solving Linear Systems Using Matrices

4.5 Determinants and Cramer’s Rule

4.6 Linear Programming

Chapter 4 Wrap-Up

• Summary

• Enriching Your Mathematical Word Power

• Review Exercises

• Chapter 4 Test

• Making Connections: a review of Chapters 1-4

• Critical Thinking

5 Exponents and Polynomials

5.1 Integral Exponents and Scientific Notation

5.2 The Power Rules

5.3 Polynomials and Polynomial Functions

5.4 Multiplying Binomials

5.5 Factoring Polynomials

5.6 Factoring ax² + bx + c

5.7 Factoring Strategy

5.8 Solving Equations by Factoring

Chapter 5 Wrap-Up

• Summary

• Enriching Your Mathematical Word Power

• Review Exercises

• Chapter 5 Test

• Making Connections: a review of Chapters 1-5

• Critical Thinking

6 Rational Expressions and Functions

6.1 Properties of Rational Expressions and Functions

6.2 Multiplication and Division

6.3 Addition and Subtraction

6.4 Complex Fractions

6.5 Division of Polynomials

6.6 Solving Equations Involving Rational Expressions

6.7 Applications

Chapter 6 Wrap-Up

• Summary

• Enriching Your Mathematical Word Power

• Review Exercises

• Chapter 6 Test

• Making Connections: a review of Chapters 1-6

• Critical Thinking

7 Radicals and Rational Exponents

7.1 Radicals

7.2 Rational Exponents

7.3 Adding, Subtracting, and Multiplying Radicals

7.4 Quotients, Powers, and Rationalizing Denominators

7.5 Solving Equations with Radicals and Exponents

7.6 Complex Numbers

Chapter 7 Wrap-Up

• Summary

• Enriching Your Mathematical Word Power

• Review Exercises

• Chapter 7 Test

• Making Connections: a review of Chapters 1-7

• Critical Thinking

8 Quadratic Equations, Functions, and Inequalities

8.1 Factoring and Completing the Square

8.2 The Quadratic Formula

8.3 More on Quadratic Equations

8.4 Quadratic Functions and Their Graphs

8.5 Quadratic Inequalities

Chapter 8 Wrap-Up

• Summary

• Enriching Your Mathematical Word Power

• Review Exercises

• Chapter 8 Test

• Making Connections: a review of Chapters 1-8

• Critical Thinking

9 Additional Function Topics

9.1 Graphs of Functions and Relations

9.2 Transformations of Graphs

9.3 Combining Functions

9.4 Inverse Functions

9.5 Variation

Chapter 9 Wrap-Up

• Summary

• Enriching Your Mathematical Word Power

• Review Exercises

• Chapter 9 Test

• Making Connections: a review of Chapters 1-9

• Critical Thinking

10 Polynomial and Rational Functions

10.1 The Factor Theorem

10.2 Zeros of a Polynomial Function

10.3 The Theory of Equations

10.4 Graphs of Polynomial Functions

10.5 Graphs of Rational Functions

Chapter 10 Wrap-Up

• Summary

• Enriching Your Mathematical Word Power

• Review Exercises

• Chapter 10 Test

• Making Connections: a review of Chapters 1-10

• Critical Thinking

11 Exponential and Logarithmic Functions

11.1 Exponential Functions and Their Applications

11.2 Logarithmic Functions and Their Applications

11.3 Properties of Logarithms

11.4 Solving Equations and Applications

Chapter 11 Wrap-Up

• Summary

• Enriching Your Mathematical Word Power

• Review Exercises

• Chapter 11 Test

• Making Connections: a review of Chapters 1-11

• Critical Thinking

12 Nonlinear Systems and the Conic Sections

12.1 Nonlinear Systems of Equations

12.2 The Parabola

12.3 The Circle

12.4 The Ellipse and Hyperbola

12.5 Second-Degree Inequalities

Chapter 12 Wrap-Up

• Summary

• Enriching Your Mathematical Word Power

• Review Exercises

• Chapter 12 Test

• Making Connections: a review of Chapters 1-12

• Critical Thinking

13 Sequences and Series

13.1 Sequences

13.2 Series

13.3 Arithmetic Sequences and Series

13.4 Geometric Sequences and Series

13.5 Binomial Expansions

Chapter 13 Wrap-Up

• Summary

• Enriching Your Mathematical Word Power

• Review Exercises

• Chapter 13 Test

• Making Connections: a review of Chapters 1-13

• Critical Thinking

14 Counting and Probability

14.1 Counting and Permutations

14.2 Combinations

14.3 Probability

Chapter 14 Wrap-Up

• Summary

• Enriching Your Mathematical Word Power

• Review Exercises

• Chapter 14 Test

• Critical Thinking

Appendix A

Answers to Selected Exercises

Index