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• Chapter 1: The Real Number System

1.1 The Real Numbers

1.2 Operations with Real Numbers

1.3 Properties of the Real Numbers

1.4 Algebraic Expressions and Formulas

1.5 Simplifying Expressions

1.6 Integer Exponents

1.7 Further Properties of Exponents

• Chapter 2: The Coordinate Plane and Functions

2.1 The Coordinate Plane

2.2 The Graph of an Expression

2.3 Relations and Functions

2.4 Functions: Notation and Evaluation

2.5 Analysis of Functions

• Chapter 3: Linear Equations and Inequalities

3.1 Introduction to Linear Equations

3.2 Solving Linear Equations

3.3 Formulas

3.4 Modeling and Problem Solving

3.5 Applications

3.6 Linear Inequalities

3.7 Compound Inequalities

3.8 Absolute Value: Equations and Inequalities

• Chapter 4: Properties of Lines

4.1 Linear Equations in Two Variables

4.2 Slope of a Line

4.3 Applications of Slope

4.4 Equations of Lines

4.5 Graphs of Linear Inequalities

• Chapter 5: Systems of Linear Equations

5.1 Graphing and Substitution Methods

5.2 The Addition Method

5.3 Systems of Equations in Three Variables

5.4 Matrices and Systems of Equations

5.5 Applications

5.6 Systems of Linear Inequalities

• Chapter 6: Polynomials

6.1 Addition and Subtraction

6.2 Multiplication and Division

6.3 Common Factors and Grouping

6.4 Special Factoring

6.5 Factoring trinomials of the form ax² + bx + c

6.6 Solving Equations by Factoring

6.7 Division

6.8 The Remainder and Factor Theorems

• Chapter 7: Rational Expressions

7.1 Introduction to Rational Expressions

7.2 Multiplication and Division

7.3 Addition and Subtraction

7.4 Complex Fractions

7.5 Equations with Rational Expressions

7.6 Applications

• Chapter 8: Radical Expressions

8.1 Radicals

8.2 Rational Expressions

8.3 Properties of Rational Exponents

8.4 The Product Rule for Radicals

8.5 The Quotient Rule for Radicals

8.6 Operations with Radicals

8.7 Equations with Radicals and Exponents

8.8 Complex Numbers

• Chapter 9: Quadratic Equations

9.1 Special Methods

9.2 Completing the Square

9.3 The Quadratic Formula

9.4 Equations in Quadratic Form

9.5 Applications

9.6 Quadratic Inequalities

9.7 Higher-Degree and Rational Inequalities

9.8 Quadratic Functions

• Chapter 10: Exponential and Logarithmic Functions

10.1 Algebra of Functions

10.2 Inverse Functions

10.3 Exponential Functions

10.4 Logarithmic Functions

10.5 Properties of Logarithms

10.6 Exponential and Logarithmic Equations