## Table of Contents

**1. Operations on Real Numbers and Algebraic Expressions**

1.1 Success in Mathematics

1.2 Fractions, Decimals, and Percents

1.3 The Number Systems and the Real Number Line

1.4 Adding, Subtracting, Multiplying, and Dividing Integers

1.5 Adding, Subtracting, Multiplying, and Dividing Rational Numbers

Putting the Concepts Together (Sections 1.2–1.5)

1.6 Properties of Real Numbers

1.7 Exponents and the Order of Operations

1.8 Simplifying Algebraic Expressions

Chapter 1 Activity: The Math Game

Chapter 1 Review

Chapter 1 Test

**2. Linear Equations and Inequalities in One Variable**

2.1 Linear Equations: The Addition and Multiplication Properties of Equality

2.2 Linear Equations: Using the Properties Together

2.3 Solving Linear Equations Involving Fractions and Decimals; Classifying Equations

2.4 Evaluating Formulas and Solving Formulas for a Variable

Putting the Concepts Together (Sections 2.1–2.4)

2.5 Problem Solving: Direct Translation

2.6 Problem Solving: Problems Involving Percent

2.7 Problem Solving: Geometry and Uniform Motion

2.8 Solving Linear Inequalities in One Variable

Chapter 2 Activity: Pass to the Right

Chapter 2 Review

Chapter 2 Test

Cumulative Review Chapters 1–2

**3. Introduction to Graphing and Linear Equations in Two Variables**

3.1 The Rectangular Coordinate System and Linear Equations in Two Variables

3.2 Graphing Linear Equations in Two Variables

3.3 Slope

3.4 Slope-Intercept Form of a Line

3.5 Point-Slope Form of a Line

3.6 Parallel and Perpendicular Lines

Putting the Concepts Together (Sections 3.1–3.6)

3.7 Linear Inequalities in Two Variables

Chapter 3 Activity: Graphing Practice

Chapter 3 Review

Chapter 3 Test

Cumulative Review Chapters 1–3

**4. Systems of Linear Equations and Inequalities**

4.1 Solving Systems of Linear Equations by Graphing

4.2 Solving Systems of Linear Equations Using Substitution

4.3 Solving Systems of Linear Equations Using Elimination

Putting the Concepts Together (Sections 4.1–4.3)

4.4 Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations

4.5 Solving Mixture Problems Using Systems of Linear Equations

4.6 Systems of Linear Inequalities

Chapter 4 Activity: Find the Numbers

Chapter 4 Review

Chapter 4 Test

Cumulative Review Chapters 1–4

**5. Exponents and Polynomials**

5.1 Adding and Subtracting Polynomials

5.2 Multiplying Monomials: The Product and Power Rules

5.3 Multiplying Polynomials

5.4 Dividing Monomials: The Quotient Rule and Integer Exponents

Putting the Concepts Together (Sections 5.1–5.4)

5.5 Dividing Polynomials

5.6 Applying the Exponent Rules: Scientific Notation

Chapter 5 Activity: What Is the Question?

Chapter 5 Review

Chapter 5 Test

Cumulative Review Chapters 1–5

**6. Factoring Polynomials**

6.1 Greatest Common Factor and Factoring by Grouping

6.2 Factoring Trinomials of the Form *x*^{2} + *bx + c*

6.3 Factoring Trinomials of the Form *ax*^{2} + *bx + c*, *a* ≠ 1

6.4 Factoring Special Products

6.5 Summary of Factoring Techniques

Putting the Concepts Together (Sections 6.1–6.5)

6.6 Solving Polynomial Equations by Factoring

6.7 Modeling and Solving Problems with Quadratic Equations

Chapter 6 Activity: Which One Does Not Belong?

Chapter 6 Review

Chapter 6 Test

Cumulative Review Chapters 1–6

Getting Ready for Intermediate Algebra: A Review of Chapters 1–6

**7. Rational Expressions and Equations**

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions with a Common Denominator

7.4 Finding the Least Common Denominator and Forming Equivalent Rational Expressions

7.5 Adding and Subtracting Rational Expressions with Unlike Denominators

7.6 Complex Rational Expressions

Putting the Concepts Together (Sections 7.1–7.6)

7.7 Rational Equations

7.8 Models Involving Rational Equations

Chapter 7 Activity: Correct the Quiz

Chapter 7 Review

Chapter 7 Test

Cumulative Review Chapters 1–6

Getting Ready for Intermediate Algebra: A Review of Chapters 1–7

Getting Ready for Chapter 8: Interval Notation

**8. Graphs, Relations, and Functions**

8.1 Graphs of Equations

8.2 Relations

8.3 An Introduction to Functions

8.4 Functions and Their Graphs

Putting the Concepts Together (Sections 8.1–8.4)

8.5 Linear Functions

8.6 Compound Inequalities

8.7 Absolute Value Equations and Inequalities

8.8 Variation

Chapter 8 Activity: Shifting Discovery

Chapter 8 Review

Chapter 8 Test

Chapters 1–8 Cumulative Review

**9. Radicals and Rational Exponents**

9.1 Square Roots

9.2 *n*th Roots and Rational Exponents

9.3 Simplify Expressions Using the Laws of Exponents

9.4 Simplifying Radical Expressions

9.5 Adding, Subtracting, and Multiplying Radical Expressions

9.6 Rationalizing Radical Expressions

Putting the Concepts Together (Sections 9.1–9.6)

9.7 Functions Involving Radicals

9.8 Radical Equations and Their Applications

9.9 The Complex Number System

Chapter 9 Activity: Which One Does Not Belong?

Chapter 9 Review

Chapter 9 Test

Cumulative Review Chapters 1–9

**10. Quadratic Equations and Functions**

10.1 Solving Quadratic Equations by Completing the Square

10.2 Solving Quadratic Equations by the Quadratic Formula

10.3 Solving Equations Quadratic in Form

Putting the Concepts Together (Sections 10.1–10.3)

10.4 Graphing Quadratic Functions Using Transformations

10.5 Graphing Quadratic Functions Using Properties

10.6 Polynomial Inequalities

10.7 Rational Inequalities

Chapter 10 Activity: Presidential Decision Making

Chapter 10 Review

Chapter 10 Test

Cumulative Review Chapters 1–10

**11. Exponential and Logarithmic Functions**

11.1 Composite Functions and Inverse Functions

11.2 Exponential Functions

11.3 Logarithmic Functions

Putting the Concepts Together (Sections 11. 1–11.3)

11.4 Properties of Logarithms

11.5 Exponential and Logarithmic Equations

Chapter 11 Activity: Correct the Quiz

Chapter 11 Review

Chapter 11 Test

Cumulative Review Chapters 1–11

**12. Conics**

12.1 Distance and Midpoint Formulas

12.2 Circles

12.3 Parabolas

12.4 Ellipses

12.5 Hyperbolas

Putting the Concepts Together (Sections 12.1–12.5)

Nonlinear Systems of Equations

Chapter 12 Activity: How Do You Know That…?

Chapter 12 Review

Chapter 12 Test

Cumulative Review Chapters 1–12

**13. Sequences, Series, and the Binomial Theorem**

13.1 Sequences

13.2 Arithmetic Sequences

13.3 Geometric Sequences and Series

13.4 The Binomial Theorem

Chapter 13 Activity: Pass to the Right

Chapter 13 Review

Chapter 13 Test

Cumulative Review Chapters 1–13

**Appendix A: Synthetic Division**

**Appendix B: Geometry Review**

**Appendix C: More on Systems of Linear Equations**

**Appendix D: Table of Square Roots**

Answers to Selected Exercises