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Chapter 1: Real Numbers

1.1 Introduction to Integers

1.2 Operations with Integers

1.3 Rational Numbers

1.4 Exponents and the Order of Operations Agreement

Chapter 2: Variable Expressions

2.1 Evaluating Variable Expressions

2.2 Simplifying Variable Expressions

2.3 Translating Verbal Expressions into Variable Expressions

Chapter 3: Solving Equations and Inequalities

3.1 Introduction to Equations

3.2 General Equations

3.3 Inequalities

Chapter 4: Solving Equations and Inequalities: Applications

4.1 Translating Sentences into Equations

4.2 Integer, Coin, and Stamp Problems

4.3 Geometry Problems

4.4 Markup and Discount Problems

4.5 Investment Problems

4.6 Mixture Problems

4.7 Uniform Motion Problems

4.8 Inequalities

Chapter 5: Linear Equations and Inequalities

5.1 The Rectangular Coordinate System

5.2 Graphs of Straight Lines

5.3 Slopes of Straight Lines

5.4 Equations of Straight Lines

5.5 Functions

5.6 Graphing Linear Inequalities

Chapter 6: Systems of Linear Equations

6.1 Solving Systems of Linear Equations by Graphing

6.2 Solving Systems of Linear Equations by the Substitution Method

6.3 Solving Systems of Linear Equations by the Addition Method

6.4 Application Problems in Two Variables

Chapter 7: Polynomials

7.1 Addition and Subtraction of Polynomials

7.2 Multiplication of Monomials

7.3 Multiplication of Polynomials

7.4 Integer Exponents and Scientific Notation

7.5 Division of Polynomials

Chapter 8: Factoring

8.1 Common Factors

8.2 Factoring Polynomials of the Form x² + bx + c

8.3 Factoring Polynomials of the Form ax² + bx + c

8.4 Special Factoring

8.5 Solving Equations

Chapter 9: Rational Expressions

9.1 Multiplication and Division of Rational Expressions

9.2 Expressing Fractions in Terms of the Least Common Multiple of Their Denominators

9.3 Addition and Subtraction of Rational Expressions

9.4 Complex Fractions

9.5 Equations Containing Fractions

9.6 Literal Equations

9.7 Application Problems

Chapter 10: Radical Expressions

10.1 Introduction to Radical Expressions

10.2 Addition and Subtraction of Radical Expressions

10.3 Multiplication and Division of Radical Expressions

10.4 Solving Equations Containing Radical Expressions

Chapter 11: Quadratic Equations

11.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

11.2 Solving Quadratic Equations by Completing the Square

11.3 Solving Quadratic Equations by using the Quadratic Formula

11.4 Graphing Quadratic Equations in Two Variables

11.5 Application Problems