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Chapter 1: Review of Real Numbers

1.1 Introduction to Real Numbers

1.2 Operations on Real Numbers

1.3 Variable Expressions

1.4 Verbal Expressions and Variable Expressions

Chapter 2: First-Degree Equations and Inequalities

2.1 Solving First-Degree Equations

2.2 Applications: Puzzle Problems

2.3 Applications: Mixture and Uniform Motion Problems

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 Linear 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

4.4 Application Problems

4.5 Solving Systems of Linear Inequalities

Chapter 5: Polynomials

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 Multiplication and Division of Rational Expressions

6.2 Addition and Subtraction of Rational Expressions

6.3 Complex Fractions

6.4 Ratio and Proportion

6.5 Rational Equations

6.6 Variation

Chapter 7: Exponents and Radicals

7.1 Rational Exponents and Radical Expressions

7.2 Operations on Radical Expressions

7.3 Complex Numbers

7.4 Solving Equations Containing Radical Expressions

Chapter 8: Quadratic Expressions

8.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

8.2 Solving Quadratic Equations by Completing the Square

8.3 Solving Quadratic Equations by Using the Quadratic Formula

8.4 Solving Quadratic Equations that are Reducible to Quadratic Equations

8.5 Quadratic Inequalities and Rational Inequalities

8.6 Applications of Quadratic Equations

Chapter 9: Functions and Relations

9.1 Properties of Quadratic Functions

9.2 Graphs of Functions

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 Solving Exponential and Logarithmic Equations

10.5 Applications of Exponential and Logarithmic Functions

Chapter 11: Conic Sections

11.1 The Parabola

11.2 The Circle

11.3 The Ellipse and the Hyperbola

11.4 Solving Nonlinear Systems of Equations

11.5 Quadratic Inequalities and Systems of Inequalities

Chapter 12: Sequences and Series

12.1 Introduction to Sequences and Series

12.2 Arithmetic Sequences and Series

12.3 Geometric Sequences and Series

12.4 Binomial Expansions