Preface

Applications Index

**1. The Whole Numbers**

1.1 Study Skill Tips for Success in Mathematics

1.2 Place Value, Names for Numbers, and Reading Tables

1.3 Adding and Subtracting Whole Numbers, and Perimeter

1.4 Rounding and Estimating

1.5 Multiplying Whole Numbers and Area

1.6 Dividing Whole Numbers

Integrated Review–Operations on Whole Numbers

1.7 Exponents and Order of Operations

1.8 Introduction to Variables, Algebraic Expressions, and Equations

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

**2. Integers and Introduction to Solving Equations**

2.1 Introduction to Integers

2.2 Adding Integers

2.3 Subtracting Integers

2.4 Multiplying and Dividing Integers

Integrated Review–Integers

2.5 Order of Operations

2.6 Solving Equations: The Addition and Multiplication Properties

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**3. Solving Equations and Problem Solving**

3.1 Simplifying Algebraic Expressions

3.2 Solving Equations: Review of the Addition and Multiplication Properties

Integrated Review–Expressions and Equations

3.3 Solving Linear Equations in One Variable

3.4 Linear Equations in One Variable and Problem Solving

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**4. Fractions and Mixed Numbers**

4.1 Introduction to Fractions and Mixed Numbers

4.2 Factors and Simplest Form

4.3 Multiplying and Dividing Fractions

4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions

4.5 Adding and Subtracting Unlike Fractions

Integrated Review–Summary on Fractions and Operations on Fractions

4.6 Complex Fractions and Review of Order of Operations

4.7 Operations on Mixed Numbers

4.8 Solving Equations Containing Fractions

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**5. Decimals**

5.1 Introduction to Decimals

5.2 Adding and Subtracting Decimals

5.3 Multiplying Decimals and Circumference of a Circle

5.4 Dividing Decimals

Integrated Review–Operations on Decimals

5.5 Fractions, Decimals, and Order of Operations

5.6 Solving Equations Containing Decimals

5.7 Decimal Applications: Mean, Median, and Mode

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**6. Ratio, Proportion, and Percent**

6.1 Ratio and Proportion

6.2 Percents, Decimals, and Fractions

6.3 Solving Percent Problems with Equations

6.4 Solving Percent Problems with Proportions

Integrated Review–Ratio, Proportion, and Percent

6.5 Applications of Percent

6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount

6.7 Percent and Problem Solving: Interest

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**7. Graphs and Triangle Applications**

7.1 Reading Pictographs, Bar Graphs, Histograms, and Line Graphs

7.2 Reading and Drawing Circle Graphs

Integrated Review–Reading Graphs

7.3 Square Roots and the Pythagorean Theorem

7.4 Congruent and Similar Triangles

7.5 Counting and Introduction to Probability

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**8. Geometry and Measurement**

8.1 Lines and Angles

8.2 Perimeter

8.3 Area, Volume, and Surface Area

Integrated Review–Geometry Concepts

8.4 Linear Measurement

8.5 Weight and Mass

8.6 Capacity

8.7 Temperature and Conversions Between the U.S. and Metric Systems

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**9. Equations, Inequalities, and Problem Solving**

9.1 Symbols and Sets of Numbers

9.2 Properties of Real Numbers

9.3 Further Solving Linear Equations

Integrated Review–Real Numbers and Solving Linear Equations

9.4 Further Problem Solving

9.5 Formulas and Problem Solving

9.6 Linear Inequalities and Problem Solving

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**10. Exponents and Polynomials**

10.1 Exponents

10.2 Negative Exponents and Scientific Notation

10.3 Introduction to Polynomials

10.4 Adding and Subtracting Polynomials

10.5 Multiplying Polynomials

10.6 Special Products

Integrated Review–Exponents and Operations on Polynomials

10.7 Dividing Polynomials

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**11. Factoring Polynomials**

11.1 The Greatest Common Factor and Factoring by Grouping

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

11.3 Factoring Trinomials of the Form *ax* ^{2} + *bx* + *c*

11.4 Factoring Trinomials of the Form *ax* ^{2} + *bx* + *c* by Grouping

11.5 Factoring Perfect Square Trinomials and the Difference of Two Squares

Integrated Review–Choosing a Factoring Strategy

11.6 Solving Quadratic Equations by Factoring

11.7 Quadratic Equations and Problem Solving

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**12. Rational Expressions**

12.1 Simplifying Rational Expressions

12.2 Multiplying and Dividing Rational Expressions

12.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator

12.4 Adding and Subtracting Rational Expressions with Different Denominators

12.5 Solving Equations Containing Rational Expressions

Integrated Review–Summary on Rational Expressions

12.6 Rational Equations and Problem Solving

12.7 Simplifying Complex Fractions

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**13. Graphing Equations and Inequalities**

13.1 The Rectangular Coordinate System

13.2 Graphing Linear Equations

13.3 Intercepts

13.4 Slope and Rate of Change

13.5 Equations of Lines

Integrated Review–Summary on Linear Equations

13.6 Introduction to Functions

13.7 Graphing Linear Inequalities in Two Variables

13.8 Direct and Inverse Variation

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**14. Systems of Equations**

14.1 Solving Systems of Linear Equations by Graphing

14.2 Solving Systems of Linear Equations by Substitution

14.3 Solving Systems of Linear Equations by Addition

Integrated Review–Summary on Solving Systems of Equations

14.4 Systems of Linear Equations and Problem Solving

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**15. Roots and Radicals**

15.1 Introduction to Radicals

15.2 Simplifying Radicals

15.3 Adding and Subtracting Radicals

15.4 Multiplying and Dividing Radicals

Integrated Review–Simplifying Radicals

15.5 Solving Equations Containing Radicals

15.6 Radical Equations and Problem Solving

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**16. Quadratic Equations**

16.1 Solving Quadratic Equations by the Square Root Property

16.2 Solving Quadratic Equations by Completing the Square

16.3 Solving Quadratic Equations by the Quadratic Formula

Integrated Review–Summary of Solving Quadratic Equations

16.4 Graphing Quadratic Equations in Two Variables

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**Appendices**

Appendix A. Tables

A.1 Table of Geometric Figures

A.2 Table of Percents, Decimals, and Fraction Equivalents

A.3 Table on Finding Common Percents of a Number

A.4 Table of Squares and Square Roots

Appendix B. Factoring Sums and Differences of Cubes

Appendix C. Mixture and Uniform Motion Problem Solving

Appendix D. Systems of Linear Inequalities

Appendix E. Geometric Formulas

Student Resources

Study Skills Builders

Bigger Picture–Study Guide Outline

Practice Final Exam

Answers to Selected Exercises

Video Answer Section

Subject Index

Photo Credits