## Table of Contents

**0. A Brief Review of Arithmetic**

0.1 Simplifying Fractions

0.2 Adding and Subtracting Fractions

0.3 Multiplying and Dividing Fractions

0.4 Using Decimals

0.5 Percents, Rounding, and Estimating

0.6 Using the Mathematics Blueprint for Problem Solving

Chapter 0 Organizer

Chapter 0 Review Problems

Chapter 0 Test

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**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

Career Explorations

Chapter 1 Organizer

Chapter 1 Review Problems

Chapter 1 Test

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**2. Equations and Inequalities**

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 Using the Addition and Multiplication Principles Together

2.4 Solving Equations with Fractions

2.5 Formulas

2.6 Solving Inequalities on One Variable

Career Explorations

Chapter 2 Organizer

Chapter 2 Review Problems

Chapter 2 Test

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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

Career Explorations

Chapter 3 Organizer

Chapter 3 Review Problems

Chapter 3 Test

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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

Career Explorations

Chapter 4 Organizer

Chapter 4 Review Problems

Chapter 4 Test

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**5. Factoring**

5.1 Removing A Common Factor

5.2 Factor 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

Career Explorations

Chapter 5 Organizer

Chapter 5 Review Problems

Chapter 5 Test

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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

Career Explorations

Chapter 6 Organizer

Chapter 6 Review Problems

Chapter 6 Test

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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

Career Explorations

Chapter 7 Organizer

Chapter 7 Review Problems

Chapter 7 Test

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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

Career Explorations

Chapter 8 Organizer

Chapter 8 Review Problems

Chapter 8 Test

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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

Career Explorations

Chapter 9 Organizer

Chapter 9 Review Problems

Chapter 9 Test

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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 Equation to Find Solutions

10.4 Graphing Quadratic Equations

10.5 Formulas and Applied Problems

Career Explorations

Chapter 10 Organizer

Chapter 10 Review Problems

Chapter 10 Test

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