## Table of Contents

**Note: Each chapter concludes with ***Chapter Summary, Chapter Review Exercises, *and* Chapter Practice Test *and after Chapter 1, *Cumulative Review Test.*

**Preface**

**To the Student**

**CHAPTER 1: Basic Concepts**

1.1 Study Skills for Success in Mathematics, and Using a Calculator

1.2 Sets and Other Basic Concepts

1.3 Properties of and Operations with Real Numbers

1.4 Order of Operations

*Mid-Chapter Test: Sections 1.1—1.4*

1.5 Exponents

1.6 Scientific Notation

**CHAPTER 2: Equations and Inequalities **

2.1 Solving Linear Equations

2.2 Problem Solving and Using Formulas

2.3 Applications of Algebra

*Mid-Chapter Test: Sections 2.1—2.3*

2.4 Additional Application Problems

2.5 Solving Linear Inequalities

2.6 Solving Equations and Inequalities Containing Absolute Values

**CHAPTER 3: Graphs and Functions**

3.1 Graphs

3.2 Functions

3.3 Linear Functions: Graphs and Applications

3.4 The Slope-Intercept Form of a Linear Equation

*Mid-Chapter Test: Sections 3.1—3.4*

3.5 The Point-Slope Form of a Linear Equation

3.6 The Algebra of Functions

3.7 Graphing Linear Inequalities

**CHAPTER 4: Systems of Equations and Inequalities **

4.1 Solving Systems of Linear Equations in Two Variables

4.2 Solving Systems of Linear Equations in Three Variables

4.3 Systems of Linear Equations: Applications and Problem Solving

*Mid-Chapter Test: Sections 4.1—4.3*

4.4 Solving Systems of Equations Using Matrices

4.5 Solving Systems of Equations Using Determinants and Cramer’s Rule

4.6 Solving Systems of Linear Inequalities

** **

**CHAPTER 5: Polynomials and Polynomial Functions**

5.1 Addition and Subtraction of Polynomials

5.2 Multiplication of Polynomials

5.3 Division of Polynomials and Synthetic Division

5.4 Factoring a Monomial from a Polynomial and Factoring by Grouping

*Mid-Chapter Test: Sections 5.1—5.4*

5.5 Factoring Trinomials

5.6 Special Factoring Formulas

5.7 A General Review of Factoring

5.8 Polynomial Equations

**CHAPTER 6: Rational Expressions and Equations**

6.1 The Domains of Rational Functions and Multiplication and Division of Rational Expressions

6.2 Addition and Subtraction of Rational Expressions

6.3 Complex Fractions

6.4 Solving Rational Equations

*Mid-Chapter Test: Sections 6.1—6.4*

6.5 Rational Equations: Applications and Problem Solving

6.6 Variation

**CHAPTER 7: Roots, Radicals, and Complex Numbers**

7.1 Roots and Radicals

7.2 Rational Exponents

7.3 Simplifying Radicals

7.4 Adding, Subtracting, and Multiplying Radicals

*Mid-Chapter Test: Sections 7.1—7.4*

7.5 Dividing Radicals

7.6 Solving Radical Equations

7.7 Complex Numbers

** **

**CHAPTER 8: Quadratic Functions**

8.1 Solving Quadratic Equations by Completing the Square

8.2 Solving Quadratic Equations by the Quadratic Formula

8.3 Quadratic Equations: Applications and Problem Solving

*Mid-Chapter Test: Sections 8.1—8.3*

8.4 Writing Equations in Quadratic Form

8.5 Graphing Quadratic Functions

8.6 Quadratic and Other Inequalities in One Variable

**CHAPTER** **9: Exponential and Logarithmic Functions**

9.1 Composite and Inverse Functions

9.2 Exponential Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithms

*Mid-Chapter Test: Sections 9.1—9.4*

9.5 Common Logarithms

9.6 Exponential and Logarithmic Equations

9.7 Natural Exponential and Natural Logarithmic Functions

**CHAPTER** **10: Characteristics of Functions and Their Graphs**

10.1 Continuous and Discontinuous Functions

10.2 Characteristics of Graphs of Polynomial Functions

*Mid-Chapter Test: Sections 10.1—10.2*

10.3 Finding the Rational Zeros of a Polynomial Function

10.4 Finding the Real Zeros of a Polynomial Function

10.5 Characteristics of Graphs of Rational Functions

** **

**CHAPTER** **11: Conic Sections**

11.1 T he Parabola and the Circle

11.2 The Ellipse

*Mid-Chapter Test: Sections 11.1—11.2*

11.3 The Hyperbola

11.4 Nonlinear Systems of Equations and Their Applications

11.5 Nonlinear Systems of Inequalities

**CHAPTER** **12: Sequences, Series, and Probability**

12.1 Sequences and Series

12.2 Arithmetic Sequences and Series

12.3 Geometric Sequences and Series

*Mid-Chapter Test: Sections 12.1—12.3*

12.4 Mathematical Induction

12.5 The Binomial Theorem

12.6 The Counting Principle, Permutations, and Combinations

12.7 Probability

**APPENDIX Geometric Formulas**

**Answers**

**Graphing Answer Section ***found only in the Annotated Instructor's Edition

**Applications Index**

**Index**

**Photo Credits**