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
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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
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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
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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
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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
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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
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Cumulative Test for Chapters 1–6
7. Rational Exponents and Radicals
7.1 Rational Exponents
7.2 Radical Expressions and Functions
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