## Description

**Tobey/Slater/Blair/Crawford series**builds essential skills one at a time by breaking the mathematics down into manageable pieces. This practical “building block” organization makes it easy for students to understand each topic and gain confidence as they move through each section. Students will find many opportunities to check and reinforce their understanding of concepts throughout the text. With this revision, the author team has added a new Math Coach feature that provides students with an office hour experience by helping them to avoid commonly made mistakes. With Tobey/Slater/Blair/Crawford, students have a tutor, a study companion, and now a coach, with them every step of the way.

## Table of Contents

Preface

Diagnostic Pretest

**0. A Brief Review of Arithmetic Skills**

0.1 Simplifying Fractions

0.2 Adding and Subtracting Fractions

0.3 Multiplying and Dividing Fractions

0.4 Using Decimals

How Am I Doing? Sections 0.1—0.4

0.5 Percents, Rounding, and Estimating

0.6 Using the Mathematics Blueprint for Problem Solving

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Chapter 0 Organizer

Chapter 0 Review Problems

How Am I Doing? Chapter 0 Test

Math Coach

**1. Real Numbers and Variables**

1.1 Adding Real Numbers

1.2 Subtracting Real Numbers

1.3 Multiplying and Dividing Real Numbers

1.4 Exponents

1.5 The Order of Operations

How Am I Doing? Sections 1.1—1.5

1.6 Using the Distributive Property to Simplify Algebraic Expressions

1.7 Combining Like Terms

1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas

1.9 Grouping Symbols

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Chapter 1 Organizer

Chapter 1 Review Problems

How Am I Doing? Chapter 1 Test

Math Coach

**2. Equations and Inequalities**

2.1 The Addition Principle of Equality

2.2 The Multiplication Principle of Equality

2.3 Using the Addition and Multiplication Principles Together

2.4 Solving Equations with Fractions

How Am I Doing? Sections 2.1—2.4

2.5 Formulas

2.6 Solving Inequalities in One Variable

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Chapter 2 Organizer

Chapter 2 Review Problems

How Am I Doing? Chapter 2 Test

Math Coach

**3. Solving Applied Problems**

3.1 Translating English Phrases into Algebraic Expressions

3.2 Using Equations to Solve Word Problems

3.3 Solving Word Problems: Comparisons

How Am I Doing? Sections 3.1—3.3

3.4 Solving Word Problems: The Value of Money and Percents

3.5 Solving Word Problems Using Geometric Formulas

3.6 Using Inequalities to Solve Word Problems

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Chapter 3 Organizer

Chapter 3 Review Problems

How Am I Doing? Chapter 3 Test

Math Coach

Cumulative Test for Chapters 0—3

**4. Exponents and Polynomials**

4.1 The Rules of Exponents

4.2 Negative Exponents and Scientific Notation

4.3 Fundamental Polynomial Operations

How Am I Doing? Sections 4.1—4.3

4.4 Multiplying Polynomials

4.5 Multiplication: Special Cases

4.6 Dividing Polynomials

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Chapter 4 Organizer

Chapter 4 Review Problems

How Am I Doing? Chapter 4 Test

Math Coach

**5. Factoring**

5.1 Removing a Common Factor

5.2 Factoring by Grouping

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

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

How Am I Doing? Sections 5.1—5.4

5.5 Special Cases of Factoring

5.6 A Brief Review of Factoring

5.7 Solving Quadratic Equations by Factoring

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Chapter 5 Organizer

Chapter 5 Review Problems

How Am I Doing? Chapter 5 Test

Math Coach

**6. Rational Expressions and Equations**

6.1 Simplifying Rational Expressions

6.2 Multiplying and Dividing Rational Expressions

6.3 Adding and Subtracting Rational Expressions

How Am I Doing? Sections 6.1—6.3

6.4 Simplifying Complex Rational Expressions

6.5 Solving Equations Involving Rational Expressions

6.6 Ratio, Proportion, and Other Applied Problems

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Chapter 6 Organizer

Chapter 6 Review Problems

How Am I Doing? Chapter 6 Test

Math Coach

Cumulative Test for Chapters 0—6

**7. Graphing and Functions**

7.1 The Rectangular Coordinate System

7.2 Graphing Linear Equations

7.3 The Slope of a Line

How Am I Doing? Sections 7.1—7.3

7.4 Writing the Equation of a Line

7.5 Graphing Linear Inequalities

7.6 Functions

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Chapter 7 Organizer

Chapter 7 Review Problems

How Am I Doing? Chapter 7 Test

Math Coach

**8. Systems of Equations**

8.1 Solving a System of Equations in Two Variables by Graphing

8.2 Solving a System of Equations in Two Variables by the Substitution Method

8.3 Solving a System of Equations in Two Variables by the Addition Method

How Am I Doing? Sections 8.1—8.3

8.4 Review of Methods for Solving Systems of Equations

8.5 Solving Word Problems Using Systems of Equations

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Chapter 8 Organizer

Chapter 8 Review Problems

How Am I Doing? Chapter 8 Test

Math Coach

**9. Radicals**

9.1 Square Roots

9.2 Simplifying Radical Expressions

9.3 Adding and Subtracting Radical Expressions

9.4 Multiplying Radical Expressions

How Am I Doing? Sections 9.1—9.4

9.5 Dividing Radical Expressions

9.6 The Pythagorean Theorem and Radical Equations

9.7 Word Problems Involving Radicals: Direct and Inverse Variation

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Chapter 9 Organizer

Chapter 9 Review Problems

How Am I Doing? Chapter 9 Test

Math Coach

**10. Quadratic Equations**

10.1 Introduction to Quadratic Equations

10.2 Using the Square Root Property and Completing the Square to Find Solutions

10.3 Using the Quadratic Formula to Find Solutions

How Am I Doing? Sections 10.1—10.3

10.4 Graphing Quadratic Equations

10.5 Formulas and Applied Problems

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Chapter 10 Organizer

Chapter 10 Review Problems

How Am I Doing? Chapter 10 Test

Math Coach

Practice Final Examination

**Appendix A. Table of Square Roots **

**Appendix B. Metric Measurement and Conversion of Units **

**Appendix C. Interpreting Data from Tables, Charts, and Graphs **

**Appendix D. The Point–Slope Form of a Line**

Solutions to Practice Problems

Answers to Selected Exercises

Glossary

Subject Index

Photo Credits

Index of Applications (Available in MyMathLab)
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