**1. Real Numbers and Variables**

1.1 Adding Real Numbers

1.2 Subtracting Real Numbers

1.3 Multiplying and Dividing Real Numbers

1.4 Exponents

1.5 The Order of Operations

1.6 Using the Distributive Property to Simplify Algebraic Expressions

1.7 Combining Like Terms

1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas

1.9 Grouping Symbols

Chapter 1 Organizer

Chapter 1 Review Problems

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**2. Equations and Inequalities**

2.1 The Addition Principle of Equality

2.2 The Multiplication Principle of Equality

2.3 Using the Addition and Multiplication Principles Together

2.4 Solving Equations with Fractions

2.5. Formulas

2.6 Solving Inequalities in One Variable

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Chapter 2 Review Problems

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**3. Solving Applied Problems**

3.1 Translating English Phrases into Algebraic Expressions

3.2 Using Equations to Solve Word Problems

3.3 Solving Word Problems: Comparisons

3.4 Solving Word Problems: The Value of Money and Percents

3.5 Solving Word Problems Using Geometric Formulas

3.6 Using Inequalities to Solve Word Problems

Chapter 3 Organizer

Chapter 3 Review Problems

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**4. Exponents and Polynomials**

4.1 The Rules of Exponents

4.2 Negative Exponents and Scientific Notation

4.3 Fundamental Polynomial Operations

4.4 Multiplying Polynomials

4.5 Multiplication: Special Cases

4.6 Dividing Polynomials

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**5. Factoring**

5.1 Removing a Common Factor

5.2 Factoring by Grouping

5.3 Factoring Trinomials of the Form*x*² +*bx*+ c

5.4 Factoring Trinomials of the Form*ax*² +*bx*+ c

5.5 Special Cases of Factoring

5.6. A Brief Review of Factoring

5.7 Solving Quadratic Equations by Factoring

Chapter 5 Organizer

Chapter 5 Review Problems

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**6. Rational Expressions and Equations**

6.1 Simplifying Rational Expressions

6.2 Multiplying and Dividing Rational Expressions

6.3 Adding and Subtracting Rational Expressions

6.4 Simplifying Complex Rational Expressions

6.5 Solving Equations Involving Rational Expressions

6.6 Ratio, Proportion, and Other Applied Problems

Chapter 6 Organizer

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**7. Graphing and Functions**

7.1 The Rectangular Coordinate System

7.2 Graphing Linear Equations

7.3 The Slope of a Line

7.4 Writing the Equation of a Line

7.5 Graphing Linear Inequalities

7.6 Functions

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**8. Systems of Equations**

8.1 Solving a System of Equations in Two Variables by Graphing

8.2 Solving a System of Equations in Two Variables by the Substitution Method

8.3 Solving A System of Equations in Two Variables by the Addition Method

8.4 Review of Methods for Solving Systems of Equations

8.5 Solving Word Problems Using Systems of Equations

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**9. Radicals**

9.1 Square Roots

9.2 Simplifying Radical Expressions

9.3 Adding and Subtracting Radical Expressions

9.4 Multiplying Radical Expressions

9.5 Dividing Radical Expressions

9.6 The Pythagorean Theorem and Radical Equations

9.7 Word Problems Involving Radicals: Direct and Inverse Variation

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** **

**10. Quadratic Equations**

10.1 Introduction to Quadratic Equations

10.2 Using the Square Root Property and Completing the Square to Find Solutions

10.3 Using the Quadratic Formula to Find Solutions

10.4 Graphing Quadratic Equations

10.5 Formulas and Applied Problems

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