Preface

Diagnostic Pretest

1. Basic Concepts

1.1 The Real Number System

1.2 Operations with Real Numbers

1.3 Powers, Square Roots, and the Order of Operations

   How Am I Doing? Sections 1.1–1.3

1.4 Integer Exponents and Scientific Notation

1.5 Operations with Variables and Grouping Symbols

1.6 Evaluating Variable Expressions and Formulas

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   Chapter 1 Organizer

   Chapter 1 Review Problems

   How Am I Doing? Chapter 1 Test

   Math Coach

2. Linear Equations and Inequalities

2.1 First-Degree Equations with One Unknown

2.2 Literal Equations and Formulas

2.3 Absolute Value Equations

2.4 Using Equations to Solve Word Problems

   How Am I Doing? Sections 2.1–2.4

2.5 Solving More-Involved Word Problems

2.6 Linear Inequalities

2.7 Compound Inequalities

2.8 Absolute Value Inequalities

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   Chapter 2 Organizer

   Chapter 2 Review Problems

   How Am I Doing? Chapter 2 Test

   Math Coach

3. Equations and Inequalities in Two Variables and Functions

3.1 Graphing Linear Equations with Two Unknowns

3.2 Slope of a Line

3.3 Graphs and the Equations of a Line

   How Am I Doing? Sections 3.1–3.3

3.4 Linear Inequalities in Two Variables

3.5 Concept of a Function

3.6 Graphing Functions from Equations and Tables of Data

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   Chapter 3 Organizer

   Chapter 3 Review Problems

   How Am I Doing? Chapter 3 Test

   Math Coach

   Cumulative Test for Chapters 1–3

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. Polynomials

5.1 Introduction to Polynomials and Polynomial Functions: Adding, Subtracting, and Multiplying

5.2 Dividing Polynomials

5.3 Synthetic Division

5.4 Removing Common Factors; Factoring by Grouping

5.5 Factoring Trinomials

   How Am I Doing? Sections 5.1–5.5

5.6 Special Cases of Factoring

5.7 Factoring a Polynomial Completely

5.8 Solving Equations and Applications Using Polynomials

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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 Rational Expressions and Functions: Simplifying, Multiplying, and Dividing

6.2 Adding and Subtracting Rational Expressions

6.3 Complex Rational Expressions

   How Am I Doing? Sections 6.1–6.3

6.4 Rational Equations

6.5 Applications: Formulas and Advanced Ratio Exercises

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   Chapter 6 Organizer

   Chapter 6 Review Problems

   How Am I Doing? Chapter 6 Test

   Math Coach

   Cumulative Test for Chapters 1–6

7. Rational Exponents and Radicals

7.1 Rational Exponents

7.2 Radical Expressions and Functions