Introductory Algebra for College Students, 5th Edition

A Brief Guide to Getting the Most from This Book

Preface

To The Student

About the Author

 

1. Variables, Real Numbers, and Mathematical Models

1.1 Introduction to Algebra: Variables and Mathematical Models

1.2 Fractions in Algebra

1.3 The Real Numbers

1.4 Basic Rules of Algebra

            Mid-Chapter Check Point Section 1.1—Section 1.4

1.5 Addition of Real Numbers

1.6 Subtraction of Real Numbers

1.7 Multiplication and Division of Real Numbers

1.8 Exponents and Order of Operations

            Chapter 1 Group Project

            Chapter 1 Summary

            Chapter 1 Review Exercises

            Chapter 1 Chapter Test

2. Linear Equations and Inequalities in One Variable

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 Solving Linear Equations

2.4 Formulas and Percents

            Mid-Chapter Check Point Section 2.1—Section 2.4

2.5 An Introduction to Problem Solving

2.6 Solving Linear Inequalities

            Chapter 2 Group Project

            Chapter 2 Summary

            Chapter 2 Review Exercises

            Chapter 2 Test

            Cumulative Review Exercises (Chapters 1—2)

3. Problem Solving

3.1 Further Problem Solving

3.2 Ratio and Proportion

            Mid-Chapter Check Point Section 3.1—Section 3.2

3.3 Problem Solving in Geometry

            Chapter 3 Group Project

            Chapter 3 Summary

            Chapter 3 Review Exercises

            Chapter 3 Test

            Cumulative Review Exercises (Chapters 1—3)

4. Linear Equations and Inequalities in Two Variables

4.1 Graphing Linear Equations in Two Variables

4.2 Graphing Linear Equations Using Intercepts

4.3 Slope

4.4 The Slope-Intercept Form of the Equation of a Line

            Mid-Chapter Check Point Section 4.1—Section 4.4

4.5 The Point-Slope Form of the Equation of a Line

4.6 Linear Inequalities in Two Variables

            Chapter 4 Group Project

            Chapter 4 Summary

            Chapter 4 Review Exercises

            Chapter 4 Test

            Cumulative Review Exercises (Chapters 1—4)

5. Systems of Linear Equations and Inequalities

5.1 Solving Systems of Linear Equations by Graphing

5.2 Solving Systems of Linear Equations by the Substitution Method

5.3 Solving Systems of Linear Equations by the Addition Method

            Mid-Chapter Check Point Section 5.1—Section 5.3

5.4 Problem Solving Using Systems of Equations

5.5 Systems of Linear Inequalities

            Chapter 5 Group Project

            Chapter 5 Summary

            Chapter 5 Review Exercises

            Chapter 5 Test

            Cumulative Review Exercises (Chapters 1—5)

6. Exponents and Polynomials

6.1 Adding and Subtracting Polynomials

6.2 Multiplying Polynomials

6.3 Special Products

6.4 Polynomials in Several Variables

            Mid-Chapter Check Point Section 6.1—Section 6.4

6.5 Dividing Polynomials

6.6 Dividing Polynomials by Binomials

6.7 Negative Exponents and Scientific Notation

            Chapter 6 Group Project

            Chapter 6 Summary

            Chapter 6 Review Exercises

            Chapter 6 Test

            Cumulative Review Exercises (Chapters 1—6)

7. Factoring Polynomials

7.1 The Greatest Common Factor and Factoring By Grouping

7.2 Factoring Trinomials Whose Leading Coefficient Is 1

7.3 Factoring Trinomials Whose Leading Coefficient Is Not 1

            Mid-Chapter Check Point Section 7.1—Section 7.3

7.4 Factoring Special Forms

7.5 A General Factoring Strategy

7.6 Solving Quadratic Equations By Factoring     

            Chapter 7 Group Project

            Chapter 7 Summary

            Chapter 7 Review Exercises

            Chapter 7 Test

            Cumulative Review Exercises (Chapters 1—7)

8. Rational Expressions

8.1 Rational Expressions and Their Simplification

8.2 Multiplying and Dividing Rational Expressions

8.3 Adding and Subtracting Rational Expressions with the Same Denominator

8.4 Adding and Subtracting Rational Expressions with Different Denominators

            Mid-Chapter Check Point Section 8.1—Section 8.4

8.5 Complex Rational Expressions

8.6 Solving Rational Equations

8.7 Applications Using Rational Equations and Variation

            Chapter 8 Group Project

            Chapter 8 Summary

            Chapter 8 Review Exercises

            Chapter 8 Test

            Cumulative Review Exercises (Chapters 1—8)

9. Roots and Radicals

9.1 Finding Roots

9.2 Multiplying and Dividing Radicals

9.3 Operations with Radicals

            Mid-Chapter Check Point Section 9.1—Section 9.3

9.4 Rationalizing the Denominator

9.5 Radical Equations

9.6 Rational Exponents

            Chapter 9 Group Project

            Chapter 9 Summary

            Chapter 9 Review Exercises

            Chapter 9 Test

            Cumulative Review Exercises (Chapters 1—9)

10. Quadratic Equations and Introduction to Functions

10.1 Solving Quadratic Equations by the Square Root Property

10.2 Solving Quadratic Equations by Completing the Square

10.3 The Quadratic Formula

            Mid-Chapter Check Point Section 10.1—Section 10.3

10.4 Imaginary Numbers as Solutions of Quadratic Equations

10.5 Graphs of Quadratic Equations

10.6 Introduction to Functions

            Chapter 10 Group Project

            Chapter 10 Summary

            Chapter 10 Review Exercises

            Chapter 10 Test

            Cumulative Review Exercises (Chapters 1—10)

 

Appendix: Mean, Median, and Mode

 

Answers to Selected Exercises

Graphing Answer Section <AIE only>

Applications Index

Subject Index

Photo Credits