## Description

**Blitzer Algebra Series**combines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum appeal. Blitzer’s personality shows in his writing, as he draws readers into the material through relevant and thought-provoking applications. Every Blitzer page is interesting and relevant, ensuring that students will actually use their textbook to achieve success!

## Table of Contents

**1. Variables, Real Numbers, and Mathematical Models**

1.1 Introduction to Algebra: Variables and Mathematical Models

1.2 Fractions in Algebra

1.3 The Real Numbers

1.4 Basic Rules of Algebra

Mid-Chapter Check Point Section 1.1–Section 1.4

1.5 Addition of Real Numbers

1.6 Subtraction of Real Numbers

1.7 Multiplication and Division of Real Numbers

1.8 Exponents and Order of Operations

Chapter 1 Group Project

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Test

**2. Linear Equations and Inequalities in One Variable **

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 Solving Linear Equations

2.4 Formulas and Percents

Mid-Chapter Check Point Section 2.1–Section 2.4

2.5 An Introduction to Problem Solving

2.6 Problem Solving in Geometry

2.7 Solving Linear Inequalities

Chapter 2 Group Project

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Test

Cumulative Review Exercises (Chapters 1–2)

**3. Linear Equations and Inequa****lities in Two Variables**

3.1 Graphing Linear Equations in Two Variables

3.2 Graphing Linear Equations Using Intercepts

3.3 Slope

3.4 The Slope-Intercept Form of the Equation of a Line

Mid-Chapter Check Point Section 3.1–Section 3.4

3.5 The Point-Slope Form of the Equation of a Line

3.6 Linear Inequalities in Two Variables

Chapter 3 Group Project

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Test

Cumulative Review Exercises (Chapters 1–3)

**4. Systems of Linear Equations and Inequalities**

4.1 Solving Systems of Linear Equations by Graphing

4.2 Solving Systems of Linear Equations by the Substitution Method

4.3 Solving Systems of Linear Equations by the Addition Method

Mid-Chapter Check Point Section 4.1–Section 4.3

4.4 Problem Solving Using Systems of Equations

4.5 Systems of Linear Inequalities

Chapter 4 Group Project

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Test

Cumulative Review Exercises (Chapters 1–4)

**5. Exponents and Polynomials**

5.1 Adding and Subtracting Polynomials

5.2 Multiplying Polynomials

5.3 Special Products

5.4 Polynomials in Several Variables

Mid-Chapter Check Point Section 5.1–Section 5.4

5.5 Dividing Polynomials

5.6 Dividing Polynomials by Binomials

5.7 Negative Exponents and Scientific Notation

Chapter 5 Group Project

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Test

Cumulative Review Exercises (Chapters 1–5)

**6. Factoring Polynomials**

6.1 The Greatest Common Factor and Factoring By Grouping

6.2 Factoring Trinomials Whose Leading Coefficient Is 1

6.3 Factoring Trinomials Whose Leading Coefficient Is Not 1

Mid-Chapter Check Point Section 6.1–Section 6.3

6.4 Factoring Special Forms

6.5 A General Factoring Strategy

6.6 Solving Quadratic Equations By Factoring

Chapter 6 Group Project

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Test

Cumulative Review Exercises (Chapters 1–6)

**7. Rational Expressions**

7.1 Rational Expressions and Their Simplification

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions with the Same Denominator

7.4 Adding and Subtracting Rational Expressions with Different Denominators

Mid-Chapter Check Point Section 7.1–Section 7.4

7.5 Complex Rational Expressions

7.6 Solving Rational Equations

7.7 Applications Using Rational Equations and Proportions

7.8 Modeling Using Variation

Chapter 7 Group Project

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Test

Cumulative Review Exercises (Chapters 1–7)

**8. Roots and Radicals**

8.1 Finding Roots

8.2 Multiplying and Dividing Radicals

8.3 Operations with Radicals

Mid-Chapter Check Point Section 8.1–Section 8.3

8.4 Rationalizing the Denominator

8.5 Radical Equations

8.6 Rational Exponents

Chapter 8 Group Project

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Test

Cumulative Review Exercises (Chapters 1–8)

**9. Quadratic Equations and Introduction to Functions**

9.1 Solving Quadratic Equations by the Square Root Property

9.2 Solving Quadratic Equations by Completing the Square

9.3 The Quadratic Formula

Mid-Chapter Check Point Section 9.1–Section 9.3

9.4 Imaginary Numbers as Solutions of Quadratic Equations

9.5 Graphs of Quadratic Equations

9.6 Introduction to Functions

Chapter 9 Group Project

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Test

Cumulative Review Exercises (Chapters 1–9)

**Appendix: Mean, Median, and Mode**

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