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by Richard N. Aufmann, Vernon C. Barker and Joanne Lockwood

Edition: 7TH 08Copyright: 2008

Publisher: Houghton Mifflin Harcourt

Published: 2008

International: No

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Intended for developmental math courses in beginning algebra, this text retains the hallmark features that have made the Aufmann texts market leaders: an interactive approach in an objective-based framework: a clear writing style, and an emphasis on problem-solving strategies. The acclaimed Aufmann Interactive Method, allows students to try a skill as it is introduced with matched-pair examples, offering students immediate feedback, reinforcing the concept, identifying problem areas, and, overall, promoting student success.

- New! Interactive Exercises appear at the beginning of an objective's exercise set (when appropriate), and provide students with guided practice on some of the objective's underlying principles.
- New! Think About It Exercises are conceptual in nature and appear near the end of an objective's exercise set. They ask the students to think about the objective's concepts, make generalizations, and apply them to more abstract problems. The focus is on mental mathematics, not calculation or computation, and help students synthesize concepts.
- New! Important Points have been highlighted to capture students' attention. With these signposts, students are able to recognize what is most important and to study more efficiently.
- New! A Concepts of Geometry section has been added to Chapter 1.
- New! Coverage of operations on fractions has been changed in Section 1.3 so that multiplication and division of rational numbers are presented first, followed by addition and subtraction
- New! A Complex Numbers section has been added to Chapter 11, "Quadratic Equations."
- New Media! Two key components have been added to the technology package: HM Testing (powered by Diploma) and, as part of the Eduspace course management tool, HM Assess, an online diagnostic assessment tool.

**1. Prealgebra Review**

1.1 Introduction to Integers

1.2 Operations with Integers

1.3 Rational Numbers

1.4 Exponents and the Order of Operations Agreement

1.5 Concepts from Geometry

**2. Variable Expressions**

2.1 Evaluating Variable Expressions

2.2 Simplifying Variable Expressions

2.3 Translating Verbal Expressions into Variable Expressions

**3. Solving Equations and Inequalities**

3.1 Introduction to Equations

3.2 General Equations

3.3 Inequalities

**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

**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

**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

**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

**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

**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

**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

**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 Complex Numbers

11.5 Graphing Quadratic Equations in Two Variables

11.6 Application Problems

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Summary

Intended for developmental math courses in beginning algebra, this text retains the hallmark features that have made the Aufmann texts market leaders: an interactive approach in an objective-based framework: a clear writing style, and an emphasis on problem-solving strategies. The acclaimed Aufmann Interactive Method, allows students to try a skill as it is introduced with matched-pair examples, offering students immediate feedback, reinforcing the concept, identifying problem areas, and, overall, promoting student success.

- New! Interactive Exercises appear at the beginning of an objective's exercise set (when appropriate), and provide students with guided practice on some of the objective's underlying principles.
- New! Think About It Exercises are conceptual in nature and appear near the end of an objective's exercise set. They ask the students to think about the objective's concepts, make generalizations, and apply them to more abstract problems. The focus is on mental mathematics, not calculation or computation, and help students synthesize concepts.
- New! Important Points have been highlighted to capture students' attention. With these signposts, students are able to recognize what is most important and to study more efficiently.
- New! A Concepts of Geometry section has been added to Chapter 1.
- New! Coverage of operations on fractions has been changed in Section 1.3 so that multiplication and division of rational numbers are presented first, followed by addition and subtraction
- New! A Complex Numbers section has been added to Chapter 11, "Quadratic Equations."
- New Media! Two key components have been added to the technology package: HM Testing (powered by Diploma) and, as part of the Eduspace course management tool, HM Assess, an online diagnostic assessment tool.

Table of Contents

**1. Prealgebra Review**

1.1 Introduction to Integers

1.2 Operations with Integers

1.3 Rational Numbers

1.4 Exponents and the Order of Operations Agreement

1.5 Concepts from Geometry

**2. Variable Expressions**

2.1 Evaluating Variable Expressions

2.2 Simplifying Variable Expressions

2.3 Translating Verbal Expressions into Variable Expressions

**3. Solving Equations and Inequalities**

3.1 Introduction to Equations

3.2 General Equations

3.3 Inequalities

**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

**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

**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

**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

**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

**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

**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

**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 Complex Numbers

11.5 Graphing Quadratic Equations in Two Variables

11.6 Application Problems

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2008

International: No

Published: 2008

International: No

Intended for developmental math courses in beginning algebra, this text retains the hallmark features that have made the Aufmann texts market leaders: an interactive approach in an objective-based framework: a clear writing style, and an emphasis on problem-solving strategies. The acclaimed Aufmann Interactive Method, allows students to try a skill as it is introduced with matched-pair examples, offering students immediate feedback, reinforcing the concept, identifying problem areas, and, overall, promoting student success.

- New! Interactive Exercises appear at the beginning of an objective's exercise set (when appropriate), and provide students with guided practice on some of the objective's underlying principles.
- New! Think About It Exercises are conceptual in nature and appear near the end of an objective's exercise set. They ask the students to think about the objective's concepts, make generalizations, and apply them to more abstract problems. The focus is on mental mathematics, not calculation or computation, and help students synthesize concepts.
- New! Important Points have been highlighted to capture students' attention. With these signposts, students are able to recognize what is most important and to study more efficiently.
- New! A Concepts of Geometry section has been added to Chapter 1.
- New! Coverage of operations on fractions has been changed in Section 1.3 so that multiplication and division of rational numbers are presented first, followed by addition and subtraction
- New! A Complex Numbers section has been added to Chapter 11, "Quadratic Equations."
- New Media! Two key components have been added to the technology package: HM Testing (powered by Diploma) and, as part of the Eduspace course management tool, HM Assess, an online diagnostic assessment tool.

**1. Prealgebra Review**

1.1 Introduction to Integers

1.2 Operations with Integers

1.3 Rational Numbers

1.4 Exponents and the Order of Operations Agreement

1.5 Concepts from Geometry

**2. Variable Expressions**

2.1 Evaluating Variable Expressions

2.2 Simplifying Variable Expressions

2.3 Translating Verbal Expressions into Variable Expressions

**3. Solving Equations and Inequalities**

3.1 Introduction to Equations

3.2 General Equations

3.3 Inequalities

**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

**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

**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

**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

**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

**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

**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

**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 Complex Numbers

11.5 Graphing Quadratic Equations in Two Variables

11.6 Application Problems