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Chapter 1: Review of Real Numbers

1.1 Introduction to Real Numbers

1.2 Operations on Rational Numbers

1.3 Variable Expressions

1.4 Verbal Expressions and Variable Expressions

Chapter 2: First-Degree Equations and Inequalities

2.1 Equations in One Variable

2.2 Coin, Stamp, and Integer Problems

2.3 Value Mixture and Motion Problems

2.4 Applications: Problems Involving Percent

2.5 Inequalities in One Variable

2.6 Absolute Value Equations and Inequalities

Chapter 3: Linear Functions and Inequalities in Two Variables

3.1 The Rectangular Coordinate System

3.2 Introduction to Functions

3.3 Linear Functions

3.4 Slope of a Straight Line

3.5 Finding Equations of Lines

3.6 Parallel and Perpendicular Lines

3.7 Inequalities in Two Variables

Chapter 4: Systems of Equations and Inequalities

4.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method

4.2 Solving Systems of Linear Equations by the Addition Method

4.3 Solving Systems of Equations by using Determinants and by using Matrices

4.4 Application Problems

4.5 Solving Systems of Linear Inequalities

Chapter 5: Polynomials and Exponents

5.1 Exponential Expressions

5.2 Introduction to Polynomials

5.3 Multiplication of Polynomials

5.4 Division of Polynomials

5.5 Factoring Polynomials

5.6 Special Factoring

5.7 Solving Equations by Factoring

Chapter 6: Rational Expressions

6.1 Introduction to Rational Functions

6.2 Operations on Rational Expressions

6.3 Complex Fractions

6.4 Rational Equations

6.5 Proportions and Variation

6.6 Literal Equations

Chapter 7: Rational Exponents and Radicals

7.1 Rational Exponents and Radical Expressions

7.2 Operations on Radical Expressions

7.3 Radical Functions

7.4 Solving Equations Containing Radical Expressions

7.5 Complex Numbers

Chapter 8: Quadratic Equations and Inequalities

8.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

8.2 Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula

8.3 Equations that are Reducible to Quadratic Equations

8.4 Applications of Quadratic Equations

8.5 Nonlinear Inequalities

8.6 Properties of Quadratic Functions

8.7 Applications of Quadratic Functions

Chapter 9: Functions and Relations

9.1 Graphs of Functions

9.2 Translations of Graphs

9.3 Algebra of Functions

9.4 One-to-One and Inverse Functions

Chapter 10: Exponential and Logarithmic Functions

10.1 Exponential Functions

10.2 Introduction to Logarithms

10.3 Graphs of Logarithmic Functions

10.4 Exponential and Logarithmic Equations

Chapter 11: Sequences and Series

11.1 Introduction to Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

11.4 Binomial Expansions

Chapter 12: Conic Sections

12.1 The Parabola

12.2 The Circle

12.3 The Ellipse and the Hyperbola

12.4 Solving Nonlinear Systems of Equations

12.5 Quadratic Inequalities and Systems of Inequalities