Intermediate Algebra

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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