Preface

Study Skills: Using Your Math Textbook

R. Review of the Real Number System

R.1 Basic Concepts

R.2 Operations on Real Numbers

R.3 Exponents, Roots, and Order of Operations

R.4 Properties of Real Numbers

Chapter R Summary

Chapter R Test

Study Skills: Reading Your Math Textbook

1. Linear Equations, Inequalities, and Applications

1.1 Linear Equations in One Variable

Study Skills: Completing Your Homework

1.2 Formulas and Percent

Study Skills: Taking Lecture Notes

1.3 Applications of Linear Equations

1.4 Further Applications of Linear Equations

Summary Exercises: Applying Problem-Solving Techniques

1.5 Linear Inequalities in One Variable

Study Skills: Using Study Cards

1.6 Set Operations and Compound Inequalities

Study Skills: Using Study Cards Revisited

1.7 Absolute Value Equations and Inequalities

Summary Exercises: Solving Linear and Absolute Value Equations and Inequalities

Study Skills: Reviewing a Chapter

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Mixed Review Exercises

Chapter 1 Test

2. Linear Equations, Graphs, and Functions

2.1 Linear Equations in Two Variables

Study Skills: Managing Your Time

2.2 The Slope of a Line

2.3 Writing Equations of Lines

Study Skills: Taking Math Tests

Summary Exercises: Finding Slopes and Equations of Lines

2.4 Linear Inequalities in Two Variables

2.5 Introduction to Relations and Functions

Study Skills: Analyzing Your Test Results

2.6 Function Notation and Linear Functions

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Mixed Review Exercises

Chapter 2 Test

Chapters R—2 Cumulative Review Exercises

3. Systems of Linear Equations

3.1 Systems of Linear Equations in Two Variables

Study Skills: Preparing for Your Math Final Exam

3.2 Systems of Linear Equations in Three Variables

3.3 Applications of Systems of Linear Equations

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Mixed Review Exercises

Chapter 3 Test

Chapters R—3 Cumulative Review Exercises

4. Exponents, Polynomials, and Polynomial Functions

4.1 Integer Exponents and Scientific Notation

4.2 Adding and Subtracting Polynomials

4.3 Polynomial Functions, Graphs, and Composition

4.4 Multiplying Polynomials

4.5 Dividing Polynomials

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Mixed Review Exercises

Chapter 4 Test

Chapters R—4 Cumulative Review Exercises

5. Factoring

5.1 Greatest Common Factors and Factoring by Grouping

5.2 Factoring Trinomials

5.3 Special Factoring

5.4 A General Approach to Factoring

5.5 Solving Equations by the Zero-Factor Property

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Mixed Review Exercises

Chapter 5 Test

Chapters R—5 Cumulative Review Exercises

6. Rational Expressions and Functions

6.1 Rational Expressions and Functions; Multiplying and Dividing

6.2 Adding and Subtracting Rational Expressions

6.3 Complex Fractions

6.4 Equations with Rational Expressions and Graphs

Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations

6.5 Applications of Rational Expressions

6.6 Variation

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Mixed Review Exercises

Chapter 6 Test

Chapters R—6 Cumulative Review Exercises

7. Roots, Radicals, and Root Functions

7.1 Radical Expressions and Graphs

7.2 Rational Exponents

7.3 Simplifying Radicals, the Distance Formula, and Circles

7.4 Adding and Subtracting Radical Expressions

7.5 Multiplying and Dividing Radical Expressions

Summary Exercises: Performing Operations with Radicals and Rational Exponents

7.6 Solving Equations with Radicals

7.7 Complex Numbers

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Mixed Review Exercises

Chapter 7 Test

Chapters R—7 Cumulative Review Exercises

8. Quadratic Equations, Inequalities, and Functions

8.1 The Square Root Property and Completing the Square

8.2 The Quadratic Formula

8.3 Equations Quadratic in Form

Summary Exercises: Applying Methods for Solving Quadratic Equations

8.4 Formulas and Further Applications

8.5 Graphs of Quadratic Functions

8.6 More about Parabolas and Their Applications

8.7 Polynomial and Rational Inequalities

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Mixed Review Exercises

Chapter 8 Test

Chapters R—8 Cumulative Review Exercises

9. Inverse, Exponential, and Logarithmic Functions

9.1 Inverse Functions

9.2 Exponential Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithms

9.5 Common and Natural Logarithms

9.6 Exponential and Logarithmic Equations;

Further Applications

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Mixed Review Exercises

Chapter 9 Test

Chapters R—9 Cumulative Review Exercises

Appendix: Synthetic Division

Answers to Selected Exercises

Glossary

Credits

Index

Additional topics available in MyMathLab: Solving Systems of Linear Equations by Matrix Methods; Determinants and Cramer’s Rule; Piecewise Linear Functions; Conic Sections; Nonlinear Systems of Equations; Second-Degree Inequalities and Systems of Inequalities; Linear Programming; Sequences and Series; The Binomial Theorem

Intermediate Algebra, 12th edition

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