Intermediate Algebra, 6th Edition

How Am I Doing? Guide to Math Success (inside front cover)

To the Student

Preface

Acknowledgments

Diagnostic Pretest

 

1. Basic Concepts

1.1 The Real Number System

1.2 Operations with Real Numbers

1.3 Powers, Square Roots, and the Order of Operations

            How Am I Doing? Sections 1.1—1.3

1.4 Integer Exponents and Scientific Notation

1.5 Operations with Variables and Grouping Symbols

1.6 Evaluating Variable Expressions and Formulas

            Putting Your Skills to Work: Use Math to Save Money

            Chapter 1 Organizer

            Chapter 1 Review Problems

            How Am I Doing? Chapter 1 Test

 

2. Linear Equations and Inequalities

2.1 First-Degree Equations with One Unknown

2.2 Literal Equations and Formulas

2.3 Absolute Value Equations

2.4 Using Equations to Solve Word Problems

            How Am I Doing? Sections 2.1—2.4

2.5 Solving More-Involved Word Problems

2.6 Linear Inequalities

2.7 Compound Inequalities

2.8 Absolute Value Inequalities

            Putting Your Skills to Work: Use Math to Save Money

            Chapter 2 Organizer

            Chapter 2 Review Problems

            How Am I Doing? Chapter 2 Test

            Cumulative Test for Chapters 1—2

 

3. Equations and Inequalities in Two Variables and Functions

3.1 Graphing Linear Equations with Two Unknowns

3.2 Slope of a Line

3.3 Graphs and the Equations of a Line

            How Am I Doing? Sections 3.1—3.3

3.4 Linear Inequalities in Two Variables

3.5 Concept of a Function

3.6 Graphing Functions from Equations and Tables of Data

            Putting Your Skills to Work: Use Math to Save Money

            Chapter 3 Organizer

            Chapter 3 Review Problems

            How Am I Doing? Chapter 3 Test

            Cumulative Test for Chapters 1—3

 

4. Systems of Linear Equations and Inequalities

4.1 Systems of Linear Equations in Two Variables

4.2 Systems of Linear Equations in Three Variables

            How Am I Doing? Sections 4.1—4.2

4.3 Applications of Systems of Linear Equations

4.4 Systems of Linear Inequalities

            Putting Your Skills to Work: Use Math to Save Money

            Chapter 4 Organizer

            Chapter 4 Review Problems

            How Am I Doing? Chapter 4 Test

            Cumulative Test for Chapters 1—4

 

5. Polynomials

5.1 Introduction to Polynomials and Polynomial Functions: Adding, Subtracting, and Multiplying

5.2 Dividing Polynomials

5.3 Synthetic Division

5.4 Removing Common Factors; Factoring by Grouping

5.5 Factoring Trinomials

            How Am I Doing? Sections 5.1—5.5

5.6 Special Cases of Factoring

5.7 Factoring a Polynomial Completely

5.8 Solving Equations and Applications Using Polynomials

            Putting Your Skills to Work: Use Math to Save Money

            Chapter 5 Organizer

            Chapter 5 Review Problems

            How Am I Doing? Chapter 5 Test

            Cumulative Test for Chapters 1—5

 

6. Rational Expressions and Equations

6.1 Rational Expressions and Functions: Simplifying, Multiplying, and Dividing

6.2 Adding and Subtracting Rational Expressions

6.3 Complex Rational Expressions

            How Am I Doing? Sections 6.1—6.3

6.4 Rational Equations

6.5 Applications: Formulas and Advanced Ratio Exercises

            Putting Your Skills to Work: Use Math to Save Money

            Chapter 6 Organizer

            Chapter 6 Review Problems

            How Am I Doing? Chapter 6 Test

            Cumulative Test for Chapters 1—6

 

7. Rational Exponents and Radicals

7.1 Rational Exponents

7.2 Radical Expressions and Functions

7.3 Simplifying, Adding, and Subtracting Radicals

7.4 Multiplying and Dividing Radicals

            How Am I Doing? Sections 7.1—7.4

7.5 Radical Equations

7.6 Complex Numbers

7.7 Variation

            Putting Your Skills to Work: Use Math to Save Money

            Chapter 7 Organizer

            Chapter 7 Review Problems

            How Am I Doing? Chapter 7 Test

            Cumulative Test for Chapters 1—7

 

8. Quadratic Equations and Inequalities

8.1 Quadratic Equations

8.2 The Quadratic Formula and Solutions to Quadratic Equations

8.3 Equations That Can Be Transformed into Quadratic Form

            How Am I Doing? Sections 8.1—8.3

8.4 Formulas and Applications

8.5 Quadratic Functions

8.6 Quadratic Inequalities in One Variable

            Putting Your Skills to Work: Use Math to Save Money

            Chapter 8 Organizer

            Chapter 8 Review Problems

            How Am I Doing? Chapter 8 Test

            Cumulative Test for Chapters 1—8

 

9. The Conic Sections

9.1 The Distance Formula and the Circle

9.2 The Parabola

9.3 The Ellipse

            How Am I Doing? Sections 9.1—9.3

9.4 The Hyperbola

9.5 Nonlinear Systems of Equations

            Putting Your Skills to Work: Use Math to Save Money

            Chapter 9 Organizer

            Chapter 9 Review Problems

            How Am I Doing? Chapter 9 Test

            Cumulative Test for Chapters 1—9

 

10. Additional Properties of Functions

10.1 Function Notation

10.2 General Graphing Procedures for Functions

            How Am I Doing? Sections 10.1—10.2

10.3 Algebraic Operations on Functions

10.4 Inverse of a Function

            Putting Your Skills to Work: Use Math to Save Money

            Chapter 10 Organizer

            Chapter 10 Review Problems

            How Am I Doing? Chapter 10 Test

            Cumulative Test for Chapters 1—10

 

11. Logarithmic and Exponential Functions

11.1 The Exponential Function

11.2 The Logarithmic Function

11.3 Properties of Logarithms

            How Am I Doing? Sections 11.1—11.3

11.4 Common Logarithms, Natural Logarithms, and Change of Base of Logarithms

11.5 Exponential and Logarithmic Equations

            Putting Your Skills to Work: Use Math to Save Money

            Chapter 11 Organizer

            Chapter 11 Review Problems

            How Am I Doing? Chapter 11 Test

 

Practice Final Examination

 

Appendix A: Tables

            Table A—1: Table of Square Roots

            Table A—2: Table of Exponential Values

Appendix B: Determinants and Cramer's Rule

Appendix C: Solving Systems of Linear Equations Using Matrices

 

Solutions to Practice Problems

Answers to Selected Exercises

Applications Index

Index

Glossary

Photo Credits