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

Edition: 4TH 07Copyright: 2007

Publisher: Houghton Mifflin Harcourt

Published: 2007

International: No

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

Edition: 4TH 07
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With all the support of the renowned Aufmann approach, this popular combination text helps your students prepare to master college algebra and to apply algebra in the real world.

- New! Bulleted annotations have been added to the solution steps of Examples and to the You Try It solutions in the appendix, further enhancing the Aufmann Interactive Method.
- New! Examples have been clearly labeled How To, allowing students to more easily refer back to solution steps when completing corresponding exercises.
- Updated! The Chapter Summary has been reformatted to include an example column, offering students the additional support of an algebraic representation of concepts, rules and definitions.
- Updated! In response to instructor feedback, the number of Chapter Review Exercises and Cumulative Review Exercises has increased.
- Updated! More operation application problems integrated into the Applying the Concepts exercises encourage students to judge which operation (adding, subtracting, multiplying, dividing) is needed to solve a word problem.
- New! Integrating Technology (formerly Calculator Notes) margin notes provide suggestions for using a calculator in certain situations. For added support and quick reference, a scientific calculator screen is displayed on the inside back cover of the text.
- New! Objective-based Worksheets accompany every section in the book for extra classroom practice or homework. These worksheets are found on the ClassPrep CD and Online Teaching Center.
- Aufmann Interactive Method (AIM) encourages students to try the math as it is presented. Every section objective contains one or more sets of matched-pair examples. The first example is completely worked out; the second example, called 'You Try It,' is for the student to work. Complete worked-out solutions to these examples in an appendix enable students to check their solutions and obtain immediate reinforcement of the concept.
- Integrated, easy-to-navigate learning system organized by objectives guides students with a consistent, predictable framework. Each chapter opens with a list of learning objectives, which are woven throughout the text and integrated with the print and multimedia ancillaries.
- The AIM for Success Student Preface guides students in making the most of the text's features. Study Tip margin notes throughout the text refer students back to the Student Preface for advice.
- Prep Tests at the beginning of each chapter help students prepare for the upcoming material by testing them on prerequisite material learned in preceding chapters. The answers to these questions can be found in the Answer Appendix, along with a reference to the objective from which the question was taken. The Go Figure problem that follows the Prep Test is a challenge problem for interested students.
- Extensive use of applications that use real source data shows students the value of mathematics as a real-life tool.
- Focus on Problem Solving section at the end of each chapter introduces students to various problem-solving strategies. Students are encouraged to write their own strategies and draw diagrams in order to find solutions.
- Unique Verbal/Mathematical connection simultaneously introduces a verbal phrase with a mathematical operation, followed by exercises that require students to make a connection between a phrase and a mathematical process.
- Projects and Group Activities at the end of each chapter offer ideas for cooperative learning.
- Unique Instructor's Annotated Edition features a format rich with new instructor support materials, which are provided at point-of-use in the margins surrounding reduced student pages.

**1. Real Numbers and Variable Expressions**

1.1 Integers

1.2 Rational and Irrational Numbers

1.3 The Order of Operations Agreement

1.4 Variable Expressions

1.5 Sets

**2. First-Degree Equations and Inequalities**

2.1 Introduction to Equations

2.2 General Equations

2.3 Translating Sentences into Equations

2.4 Mixture and Uniform Motion Problems

2.5 First-Degree Inequalities

2.6 Absolute Value Equations and Inequalities

**3. Geometry**

3.1 Introduction to Geometry

3.2 Plane Geometric Figures

3.3 Solids

**4. Linear Functions and Inequalities in Two Variables**

4.1 The Rectangular Coordinate System

4.2 Introduction to Functions

4.3 Linear Functions

4.4 Slope of a Straight Line

4.5 Finding Equations of Lines

4.6 Parallel and Perpendicular Lines

4.7 Inequalities in Two Variables

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

5.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method

5.2 Solving Systems of Linear Equations by the Addition Method

5.3 Application Problems

5.4 Solving Systems of Linear Inequalities

**6. Polynomials**

6.1 Exponential Expressions

6.2 Introduction to Polynomial Functions

6.3 Multiplication of Polynomials

6.4 Division of Polynomials

**7. Factoring**

7.1 Common Factors

7.2 Factoring Polynomials of the Form x2 + bx + c

7.3 Factoring Polynomials of the Form ax2 + bx + c

7.4 Special Factoring

7.5 Solving Equations

**8. Rational Expressions**

8.1 Multiplication and Division of Rational Expressions

8.2 Addition and Subtraction of Rational Expressions

8.3 Complex Fractions

8.4 Solving Equations Containing Fractions

8.5 Ratio and Proportion

8.6 Literal Equations

8.7 Application Problems

8.8 Variation

**9. Exponents and Radicals**

9.1 Rational Exponents and Radical Expressions

9.2 Operations on Radical Expressions

9.3 Solving Equations Containing Radical Expressions

9.4 Complex Numbers

**10. Quadratic Equations**

10.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

10.2 Solving Quadratic Equations by Completing the Square

10.3 Solving Quadratic Equations by Using the Quadratic Formula

10.4 Solving Equations That Are Reducible to Quadratic Equations

10.5 Quadratic Inequalities and Rational Inequalities

10.6 Applications of Quadratic Equations

**11. Functions and Relations**

11.1 Properties of Quadratic Functions

11.2 Graphs of Functions

11.3 Algebra of Functions

11.4 One-to-One and Inverse Functions

**12. Exponential and Logarithmic Functions**

12.1 Exponential Functions (Intermediate Alg 10.1)

12.2 Introduction to Logarithms

12.3 Graphs of Logarithmic Functions

12.4 Solving Exponential and Logarithmic Equations

12.5 Applications of Exponential and Logarithmic Functions

**R. Review of Introductory Algebra Topics**

R.1 Variable Expressions

R.2 Equations and Inequalities

R.3 Linear Equations in Two Variables

R.4 Polynomials

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Summary

With all the support of the renowned Aufmann approach, this popular combination text helps your students prepare to master college algebra and to apply algebra in the real world.

- New! Bulleted annotations have been added to the solution steps of Examples and to the You Try It solutions in the appendix, further enhancing the Aufmann Interactive Method.
- New! Examples have been clearly labeled How To, allowing students to more easily refer back to solution steps when completing corresponding exercises.
- Updated! The Chapter Summary has been reformatted to include an example column, offering students the additional support of an algebraic representation of concepts, rules and definitions.
- Updated! In response to instructor feedback, the number of Chapter Review Exercises and Cumulative Review Exercises has increased.
- Updated! More operation application problems integrated into the Applying the Concepts exercises encourage students to judge which operation (adding, subtracting, multiplying, dividing) is needed to solve a word problem.
- New! Integrating Technology (formerly Calculator Notes) margin notes provide suggestions for using a calculator in certain situations. For added support and quick reference, a scientific calculator screen is displayed on the inside back cover of the text.
- New! Objective-based Worksheets accompany every section in the book for extra classroom practice or homework. These worksheets are found on the ClassPrep CD and Online Teaching Center.
- Aufmann Interactive Method (AIM) encourages students to try the math as it is presented. Every section objective contains one or more sets of matched-pair examples. The first example is completely worked out; the second example, called 'You Try It,' is for the student to work. Complete worked-out solutions to these examples in an appendix enable students to check their solutions and obtain immediate reinforcement of the concept.
- Integrated, easy-to-navigate learning system organized by objectives guides students with a consistent, predictable framework. Each chapter opens with a list of learning objectives, which are woven throughout the text and integrated with the print and multimedia ancillaries.
- The AIM for Success Student Preface guides students in making the most of the text's features. Study Tip margin notes throughout the text refer students back to the Student Preface for advice.
- Prep Tests at the beginning of each chapter help students prepare for the upcoming material by testing them on prerequisite material learned in preceding chapters. The answers to these questions can be found in the Answer Appendix, along with a reference to the objective from which the question was taken. The Go Figure problem that follows the Prep Test is a challenge problem for interested students.
- Extensive use of applications that use real source data shows students the value of mathematics as a real-life tool.
- Focus on Problem Solving section at the end of each chapter introduces students to various problem-solving strategies. Students are encouraged to write their own strategies and draw diagrams in order to find solutions.
- Unique Verbal/Mathematical connection simultaneously introduces a verbal phrase with a mathematical operation, followed by exercises that require students to make a connection between a phrase and a mathematical process.
- Projects and Group Activities at the end of each chapter offer ideas for cooperative learning.
- Unique Instructor's Annotated Edition features a format rich with new instructor support materials, which are provided at point-of-use in the margins surrounding reduced student pages.

Table of Contents

**1. Real Numbers and Variable Expressions**

1.1 Integers

1.2 Rational and Irrational Numbers

1.3 The Order of Operations Agreement

1.4 Variable Expressions

1.5 Sets

**2. First-Degree Equations and Inequalities**

2.1 Introduction to Equations

2.2 General Equations

2.3 Translating Sentences into Equations

2.4 Mixture and Uniform Motion Problems

2.5 First-Degree Inequalities

2.6 Absolute Value Equations and Inequalities

**3. Geometry**

3.1 Introduction to Geometry

3.2 Plane Geometric Figures

3.3 Solids

**4. Linear Functions and Inequalities in Two Variables**

4.1 The Rectangular Coordinate System

4.2 Introduction to Functions

4.3 Linear Functions

4.4 Slope of a Straight Line

4.5 Finding Equations of Lines

4.6 Parallel and Perpendicular Lines

4.7 Inequalities in Two Variables

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

5.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method

5.2 Solving Systems of Linear Equations by the Addition Method

5.3 Application Problems

5.4 Solving Systems of Linear Inequalities

**6. Polynomials**

6.1 Exponential Expressions

6.2 Introduction to Polynomial Functions

6.3 Multiplication of Polynomials

6.4 Division of Polynomials

**7. Factoring**

7.1 Common Factors

7.2 Factoring Polynomials of the Form x2 + bx + c

7.3 Factoring Polynomials of the Form ax2 + bx + c

7.4 Special Factoring

7.5 Solving Equations

**8. Rational Expressions**

8.1 Multiplication and Division of Rational Expressions

8.2 Addition and Subtraction of Rational Expressions

8.3 Complex Fractions

8.4 Solving Equations Containing Fractions

8.5 Ratio and Proportion

8.6 Literal Equations

8.7 Application Problems

8.8 Variation

**9. Exponents and Radicals**

9.1 Rational Exponents and Radical Expressions

9.2 Operations on Radical Expressions

9.3 Solving Equations Containing Radical Expressions

9.4 Complex Numbers

**10. Quadratic Equations**

10.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

10.2 Solving Quadratic Equations by Completing the Square

10.3 Solving Quadratic Equations by Using the Quadratic Formula

10.4 Solving Equations That Are Reducible to Quadratic Equations

10.5 Quadratic Inequalities and Rational Inequalities

10.6 Applications of Quadratic Equations

**11. Functions and Relations**

11.1 Properties of Quadratic Functions

11.2 Graphs of Functions

11.3 Algebra of Functions

11.4 One-to-One and Inverse Functions

**12. Exponential and Logarithmic Functions**

12.1 Exponential Functions (Intermediate Alg 10.1)

12.2 Introduction to Logarithms

12.3 Graphs of Logarithmic Functions

12.4 Solving Exponential and Logarithmic Equations

12.5 Applications of Exponential and Logarithmic Functions

**R. Review of Introductory Algebra Topics**

R.1 Variable Expressions

R.2 Equations and Inequalities

R.3 Linear Equations in Two Variables

R.4 Polynomials

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2007

International: No

Published: 2007

International: No

With all the support of the renowned Aufmann approach, this popular combination text helps your students prepare to master college algebra and to apply algebra in the real world.

- New! Bulleted annotations have been added to the solution steps of Examples and to the You Try It solutions in the appendix, further enhancing the Aufmann Interactive Method.
- New! Examples have been clearly labeled How To, allowing students to more easily refer back to solution steps when completing corresponding exercises.
- Updated! The Chapter Summary has been reformatted to include an example column, offering students the additional support of an algebraic representation of concepts, rules and definitions.
- Updated! In response to instructor feedback, the number of Chapter Review Exercises and Cumulative Review Exercises has increased.
- Updated! More operation application problems integrated into the Applying the Concepts exercises encourage students to judge which operation (adding, subtracting, multiplying, dividing) is needed to solve a word problem.
- New! Integrating Technology (formerly Calculator Notes) margin notes provide suggestions for using a calculator in certain situations. For added support and quick reference, a scientific calculator screen is displayed on the inside back cover of the text.
- New! Objective-based Worksheets accompany every section in the book for extra classroom practice or homework. These worksheets are found on the ClassPrep CD and Online Teaching Center.
- Aufmann Interactive Method (AIM) encourages students to try the math as it is presented. Every section objective contains one or more sets of matched-pair examples. The first example is completely worked out; the second example, called 'You Try It,' is for the student to work. Complete worked-out solutions to these examples in an appendix enable students to check their solutions and obtain immediate reinforcement of the concept.
- Integrated, easy-to-navigate learning system organized by objectives guides students with a consistent, predictable framework. Each chapter opens with a list of learning objectives, which are woven throughout the text and integrated with the print and multimedia ancillaries.
- The AIM for Success Student Preface guides students in making the most of the text's features. Study Tip margin notes throughout the text refer students back to the Student Preface for advice.
- Prep Tests at the beginning of each chapter help students prepare for the upcoming material by testing them on prerequisite material learned in preceding chapters. The answers to these questions can be found in the Answer Appendix, along with a reference to the objective from which the question was taken. The Go Figure problem that follows the Prep Test is a challenge problem for interested students.
- Extensive use of applications that use real source data shows students the value of mathematics as a real-life tool.
- Focus on Problem Solving section at the end of each chapter introduces students to various problem-solving strategies. Students are encouraged to write their own strategies and draw diagrams in order to find solutions.
- Unique Verbal/Mathematical connection simultaneously introduces a verbal phrase with a mathematical operation, followed by exercises that require students to make a connection between a phrase and a mathematical process.
- Projects and Group Activities at the end of each chapter offer ideas for cooperative learning.
- Unique Instructor's Annotated Edition features a format rich with new instructor support materials, which are provided at point-of-use in the margins surrounding reduced student pages.

**1. Real Numbers and Variable Expressions**

1.1 Integers

1.2 Rational and Irrational Numbers

1.3 The Order of Operations Agreement

1.4 Variable Expressions

1.5 Sets

**2. First-Degree Equations and Inequalities**

2.1 Introduction to Equations

2.2 General Equations

2.3 Translating Sentences into Equations

2.4 Mixture and Uniform Motion Problems

2.5 First-Degree Inequalities

2.6 Absolute Value Equations and Inequalities

**3. Geometry**

3.1 Introduction to Geometry

3.2 Plane Geometric Figures

3.3 Solids

**4. Linear Functions and Inequalities in Two Variables**

4.1 The Rectangular Coordinate System

4.2 Introduction to Functions

4.3 Linear Functions

4.4 Slope of a Straight Line

4.5 Finding Equations of Lines

4.6 Parallel and Perpendicular Lines

4.7 Inequalities in Two Variables

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

5.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method

5.2 Solving Systems of Linear Equations by the Addition Method

5.3 Application Problems

5.4 Solving Systems of Linear Inequalities

**6. Polynomials**

6.1 Exponential Expressions

6.2 Introduction to Polynomial Functions

6.3 Multiplication of Polynomials

6.4 Division of Polynomials

**7. Factoring**

7.1 Common Factors

7.2 Factoring Polynomials of the Form x2 + bx + c

7.3 Factoring Polynomials of the Form ax2 + bx + c

7.4 Special Factoring

7.5 Solving Equations

**8. Rational Expressions**

8.1 Multiplication and Division of Rational Expressions

8.2 Addition and Subtraction of Rational Expressions

8.3 Complex Fractions

8.4 Solving Equations Containing Fractions

8.5 Ratio and Proportion

8.6 Literal Equations

8.7 Application Problems

8.8 Variation

**9. Exponents and Radicals**

9.1 Rational Exponents and Radical Expressions

9.2 Operations on Radical Expressions

9.3 Solving Equations Containing Radical Expressions

9.4 Complex Numbers

**10. Quadratic Equations**

10.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

10.2 Solving Quadratic Equations by Completing the Square

10.3 Solving Quadratic Equations by Using the Quadratic Formula

10.4 Solving Equations That Are Reducible to Quadratic Equations

10.5 Quadratic Inequalities and Rational Inequalities

10.6 Applications of Quadratic Equations

**11. Functions and Relations**

11.1 Properties of Quadratic Functions

11.2 Graphs of Functions

11.3 Algebra of Functions

11.4 One-to-One and Inverse Functions

**12. Exponential and Logarithmic Functions**

12.1 Exponential Functions (Intermediate Alg 10.1)

12.2 Introduction to Logarithms

12.3 Graphs of Logarithmic Functions

12.4 Solving Exponential and Logarithmic Equations

12.5 Applications of Exponential and Logarithmic Functions

**R. Review of Introductory Algebra Topics**

R.1 Variable Expressions

R.2 Equations and Inequalities

R.3 Linear Equations in Two Variables

R.4 Polynomials