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• Chapter 1: The Real Number System

1.1 The Real Numbers

1.2 Addition

1.3 Subtraction

1.4 Multiplication

1.5 Division

1.6 Exponents, Square Roots, Order of Operations

1.7 Properties of Real Numbers

• Chapter 2: Expressions and Functions

2.1 Algebraic Expressions and Formulas

2.2 Simplifying Expressions

2.3 The Coordinate Plane

2.4 The Graph of an Expression

2.5 Relations and Functions

2.6 Functions: Notation and Evaluation

2.7 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: SSystems 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: Exponents and Polynomials

6.1 Properties of Exponents

6.2 Zero and Negative Exponents

6.3 Scientific Notation

6.4 Polynomials

6.5 Multiplication and Special Products

• Chapter 7: Factoring

7.1 Common Factors and Grouping

7.2 Special Factoring

7.3 Factoring Trinomials of the Form ax² + bx + c

7.4 Solving Equations by Factoring

7.5 Division

• Chapter 8: Rational Expressions

8.1 Introduction to Rational Expressions

8.2 Multiplication and Division

8.3 Addition and Subtraction

8.4 Complex Fractions

8.5 Equations with Rational Expressions

8.6 Applications

• Chapter 9: Radical Expressions

9.1 Radicals

9.2 Rational Exponents

9.3 Properties of Rational Exponents

9.4 The Product Rule for Radicals

9.5 The Quotient Rule for Radicals

9.6 Operations with Radicals

9.7 Equations with Radicals and Exponents

9.8 Complex Numbers

• Chapter 10: Quadratic Equations

10.1 Special Methods

10.2 Completing the Square

10.3 The Quadratic Formula

10.4 Equations in Quadratic Form

10.5 Applications

10.6 Quadratic Inequalities

10.7 Quadratic Functions

• Chapter 11: Exponential and Logarithmic Functions

11.1 Algebra of Functions

11.2 Inverse Functions

11.3 Exponential Functions

11.4 Logarithmic Functions

11.5 Properties of Logarithms

11.6 Exponential and Logarithmic Equations