1. Review of the Real Number System
1.1 Basic Concepts
1.2 Operations on Real Numbers
1.3 Exponents, Roots, and Order of Operations
1.4 Properties of Real Numbers
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Test
Study Skills: Reading Your Math Textbook
2. Linear Equations, Inequalities, and Applications
2.1 Linear Equations in One Variable
Study Skills: Tackling Your Homework
2.2 Formulas and Percents
2.3 Applications of Linear Equations
Study Skills: Taking Lecture Notes
2.4 Further Applications of Linear Equations
Summary Exercises on Solving Applied Problems
2.5 Linear Inequalities in One Variable
Study Skills: Using Study Cards
2.6 Set Operations and Compound Inequalities
Study Skills: Using Study Cards Revisited
2.7 Absolute Value Equations and Inequalities
Study Skills: Reviewing a Chapter
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Test
Chapters 1-2 Cumulative Review Exercises
3. Graphs, Linear Equations, and Functions
3.1 The Rectangular Coordinate System
Study Skills: Managing Your Time
3.2 The Slope of a Line
3.3 Linear Equations in Two Variables
Summary Exercises on Slopes and Equations of Lines
3.4 Linear Inequalities in Two Variables
3.5 Introduction to Relations and Functions
3.6 Function Notation and Linear Functions
Study Skills: Taking Math Tests
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Test
Chapters 1-3 Cumulative Review Exercises
4. Systems of Linear Equations
4.1 Systems of Linear Equations in Two Variables
Study Skills: Analyzing Your Test Results
4.2 Systems of Linear Equations in Three Variables
4.3 Applications of Systems of Linear Equations
4.4 Solving Systems of Linear Equations by Matrix Methods
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Test
Chapters 1-4 Cumulative Review Exercises
5. Exponents, Polynomials, and Polynomial Functions
5.1 Integer Exponents and Scientific Notation
5.2 Adding and Subtracting Polynomials
5.3 Polynomial Functions, Graphs, and Composition
5.4 Multiplying Polynomials
5.5 Dividing Polynomials
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Test
Chapters 1-5 Cumulative Review Exercises
6. Factoring
6.1 Greatest Common Factors and Factoring by Grouping
6.2 Factoring Trinomials
6.3 Special Factoring
6.4 A General Approach to Factoring
6.5 Solving Equations by Factoring
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Test
Chapters 1-6 Cumulative Review Exercises
7. Rational Expressions and Functions
7.1 Rational Expressions and Functions; Multiplying and Dividing
7.2 Adding and Subtracting Rational Expressions
7.3 Complex Fractions
7.4 Equations with Rational Expressions and Graphs
Summary Exercises on Rational Expressions and Equations
7.5 Applications of Rational Expressions
7.6 Variation
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Test
Chapters 1-7 Cumulative Review Exercises
8. Roots, Radicals, and Root Functions
8.1 Radical Expressions and Graphs
8.2 Rational Exponents
8.3 Simplifying Radical Expressions
8.4 Adding and Subtracting Radical Expressions
8.5 Multiplying and Dividing Radical Expressions
Summary Exercises on Operations with Radicals and Rational Exponents
8.6 Solving Equations with Radicals
8.7 Complex Numbers
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