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
7.3 Simplifying, Adding, and Subtracting Radicals
7.4 Multiplying and Dividing Radicals
How Am I Doing? Sections 7.1-7.4
7.5 Radical Equations
7.6 Complex Numbers
7.7 Variation
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Chapter 7 Organizer
Chapter 7 Review Problems
How Am I Doing? Chapter 7 Test
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8. Quadratic Equations and Inequalities
8.1 Quadratic Equations
8.2 The Quadratic Formula and Solutions to Quadratic Equations
8.3 Equations That Can Be Transformed into Quadratic Form
How Am I Doing? Sections 8.1-8.3
8.4 Formulas and Applications
8.5 Quadratic Functions
8.6 Quadratic Inequalities in One Variable
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Chapter 8 Organizer
Chapter 8 Review Problems
How Am I Doing? Chapter 8 Test
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9. The Conic Sections
9.1 The Distance Formula and the Circle
9.2 The Parabola
9.3 The Ellipse
How Am I Doing? Sections 9.1-9.3
9.4 The Hyperbola
9.5 Nonlinear Systems of Equations
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Chapter 9 Organizer
Chapter 9 Review Problems
How Am I Doing? Chapter 9 Test
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10. Additional Properties of Functions
10.1 Function Notation
10.2 General Graphing Procedures for Functions
How Am I Doing? Sections 10.1-10.2
10.3 Algebraic Operations on Functions
10.4 Inverse of a Function
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Chapter 10 Organizer
Chapter 10 Review Problems
How Am I Doing? Chapter 10 Test
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Practice Final Examination
Appendix A: Tables
Table A-1: Table of Square Roots
Table A-2: Table of Exponential Values
Solutions to Practice Problems
Answers to Selected Exercises
Glossary
Index
Photo Credits