## Description

The **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. Prealgebra Review**

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, Inequalities, and Applications**

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 Translating English Phrases into Algebraic Expressions

2.6 Using Equations to Solve Word Problems

2.7 Solving Word Problems: The Value of Money and Percents

2.8 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. Graphing and Functions**

3.1 The Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 The Slope of a Line

How Am I Doing? Sections 3.1–3.3

3.4 Writing the Equation of a Line

3.5 Graphing Linear Inequalities

3.6 Functions

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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. 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

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Chapter 4 Organizer

Chapter 4 Review Problems

How Am I Doing? Chapter 4 Test

Math Coach

**5. Exponents and Polynomials**

5.1 The Rules of Exponents

5.2 Negative Exponents and Scientific Notation

5.3 Fundamental Polynomial Operations

How Am I Doing? Sections 5.1–5.3

5.4 Multiplying Polynomials

5.5 Multiplication: Special Cases

5.6 Dividing Polynomials

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Chapter 5 Organizer

Chapter 5 Review Problems

How Am I Doing? Chapter 5 Test

Math Coach

**6. Factoring**

6.1 Removing a Common Factor

6.2 Factoring by Grouping

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

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

How Am I Doing? Sections 6.1–6.4

6.5 Special Cases of Factoring

6.6 A Brief Review of Factoring

6.7 Solving Quadratic Equations by Factoring

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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. Rational Expressions and Equations**

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions

How Am I Doing? Sections 7.1–7.3

7.4 Simplifying Complex Rational Expressions

7.5 Solving Equations Involving Rational Expressions

7.6 Ratio, Proportion, and Other Applied Problems

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Chapter 7 Organizer

Chapter 7 Review Problems

How Am I Doing? Chapter 7 Test

Math Coach

**8. Rational Exponents and Radicals**

8.1 Rational Exponents

8.2 Radical Expressions and Functions

8.3 Simplifying, Adding, and Subtracting Radicals

8.4 Multiplying and Dividing Radicals

How Am I Doing? Sections 8.1—8.4

8.5 Radical Equations

8.6 Complex Numbers

8.7 Variation

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Chapter 8 Organizer

Chapter 8 Review Problems

How Am I Doing? Chapter 8 Test

Math Coach

**9. Quadratic Equations and Inequalities**

9.1 Quadratic Equations

9.2 The Quadratic Formula and Solutions to Quadratic Equations

9.3 Equations That Can Be Transformed into Quadratic Form

How Am I Doing? Sections 9.1—9.3

9.4 Formulas and Applications

9.5 Quadratic Functions

9.6 Compound and Quadratic Inequalities in One Variable

9.7 Absolute Value Equations and Inequalities

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Chapter 9 Organizer

Chapter 9 Review Problems

How Am I Doing? Chapter 9 Test

Math Coach

Cumulative Test for Chapters 0-9

**10. The Conic Sections**

10.1 The Distance Formula and the Circle

10.2 The Parabola

10.3 The Ellipse

How Am I Doing? Sections 10.1—10.3

10.4 The Hyperbola

10.5 Nonlinear Systems of Equations

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Chapter 10 Organizer

Chapter 10 Review Problems

How Am I Doing? Chapter 10 Test

Math Coach

**11. Additional Properties of Functions**

11.1 Function Notation

11.2 General Graphing Procedures for Functions

How Am I Doing? Sections 11.1—11.2

11.3 Algebraic Operations on Functions

11.4 Inverse of a Function

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Chapter 11 Organizer

Chapter 11 Review Problems

How Am I Doing? Chapter 11 Test

Math Coach

**12. Logarithmic and Exponential Functions**

12.1 The Exponential Function

12.2 The Logarithmic Function

12.3 Properties of Logarithms

How Am I Doing? Sections 12.1—12.3

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

12.5 Exponential and Logarithmic Equations

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Chapter 12 Organizer

Chapter 12 Review Problems

How Am I Doing? Chapter 12 Test

Math Coach

Practice Final Examination

**Appendix A: Foundations for Intermediate Algebra: A Transition from Beginning to Intermediate **

**Appendix B: Practice with Operations of Whole Numbers**

**Appendix C: Tables**

**Appendix D: Determinants and Cramer’s Rule**

**Appendix E: Solving Systems of Linear Equations Using Matrices**

**Appendix F: Sets**

Solutions to Practice Problems

Answers to Selected Exercises

Glossary

Applications Index (Available in MyMathLab)

Index

Photo Credits
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John Tobey, Jeffrey Slater, Jamie Blair, Jennifer Crawford

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