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by Richard N. Aufmann and Joanne S. Lockwood

Edition: 07Copyright: 2007

Publisher: Houghton Mifflin Harcourt

Published: 2007

International: No

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Proven, class-tested content from two best-selling texts is now available in one convenient, cost-saving volume. Prealgebra and Introductory Algebra guides students to success by offering a single, consistent voice and format for the two-term developmental mathematics sequence.

- 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 HM 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. Whole Numbers**

1.1 Introduction to Whole Numbers

1.2 Addition and Subtraction of Whole Numbers

1.3 Multiplication and Division of Whole Numbers

1.4 The Order of Operations Agreement

**2. Fractions and Decimals**

2.1 The Least Common Multiple and Greatest Common Factor

2.2 Introduction to Fractions

2.3 Addition and Subtraction of Fractions

2.4 Multiplication and Division of Fractions

2.5 Introduction to Decimals

2.6 Operations on Decimals

2.7 The Order of Operations Agreement

**3. Rational Numbers**

3.1 Introduction to Integers

3.2 Addition and Subtraction of Integers

3.3 Multiplication and Division of Integers

3.4 Operations with Rational Numbers

3.5 The Order of Operations Agreement

**4. Variable Expressions**

4.1 Evaluating Variable Expressions

4.2 Simplifying Variable Expressions

4.3 Translating Verbal Expressions into Variable Expressions

**5. Solving Equations**

5.1 Introduction to Equations

5.2 General Equations -- Part I

5.3 General Equations -- Part II

5.4 Translating Sentences into Equations

5.5 Mixture and Uniform Motion Problems

**6. Proportion and Percent**

6.1 Ratios and Rates

6.2 Proportion

6.3 Percent

6.4 The Basic Percent Equation

6.5 Simple Interest

**7. Geometry**

7.1 Introduction to Geometry

7.2 Plane Geometric Figures

7.3 Triangles

7.4 Solids

**8. Statistics and Probability**

8.1 Statistical Graphs

8.2 Statistical Measures

8.3 Introduction to Probability

**9. Polynomials**

9.1 Addition and Subtraction of Polynomials

9.2 Multiplication of Monomials

9.3 Multiplication of Polynomials

9.4 Integer Exponents and Scientific Notation

9.5 Division of Polynomials

**10. Factoring**

10.1 Common Factors

10.2 Factoring Polynomials of the Form x2 + bx + c

10.3 Factoring Polynomials of the Form ax2 + bx + c

10.4 Special Factoring

10.5 Solving Equations

**11. Rational Expressions**

11.1 Multiplication and Division of Rational Expressions

11.2 Expressing Fractions in Terms of the Least Common Multiple (LCM)

11.3 Addition and Subtraction of Rational Expressions

11.4 Complex Fractions

11.5 Solving Equations Containing Fractions

11.6 Literal Equations

11.7 Application Problems

**12. Linear Equations in Two Variables**

12.1 The Rectangular Coordinate System

12.2 Linear Equations in Two Variables

12.3 Intercepts and Slopes of Straight Lines

12.4 Equations of Straight Lines

**13. Systems of Linear Equations**

13.1 Solving Systems of Linear Equations by Graphing

13.2 Solving Systems of Linear Equations by the Substitution Method

13.3 Solving Systems of Equations by the Addition Method

13.4 Application Problems in Two Variables

**14. Inequalities**

14.1 Sets

14.2 The Addition and Multiplication Properties of Inequalities

14.3 General Inequalities

14.4 Graphing Linear Inequalities

**15. Radical Expressions**

15.1 Introduction to Radical Expressions

15.2 Addition and Subtraction of Radical Expressions

15.3 Multiplication and Division of Radical Expressions

15.4 Solving Equations Containing Radical Expressions

**16. Quadratic Equations**

16.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

16.2 Solving Quadratic Equations by Completing the Square

16.3 Solving Quadratic Equations by Using the Quadratic Formula

16.4 Graphing Quadratic Equations in Two Variables

16.5 Application Problems

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Summary

Proven, class-tested content from two best-selling texts is now available in one convenient, cost-saving volume. Prealgebra and Introductory Algebra guides students to success by offering a single, consistent voice and format for the two-term developmental mathematics sequence.

- 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 HM 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. Whole Numbers**

1.1 Introduction to Whole Numbers

1.2 Addition and Subtraction of Whole Numbers

1.3 Multiplication and Division of Whole Numbers

1.4 The Order of Operations Agreement

**2. Fractions and Decimals**

2.1 The Least Common Multiple and Greatest Common Factor

2.2 Introduction to Fractions

2.3 Addition and Subtraction of Fractions

2.4 Multiplication and Division of Fractions

2.5 Introduction to Decimals

2.6 Operations on Decimals

2.7 The Order of Operations Agreement

**3. Rational Numbers**

3.1 Introduction to Integers

3.2 Addition and Subtraction of Integers

3.3 Multiplication and Division of Integers

3.4 Operations with Rational Numbers

3.5 The Order of Operations Agreement

**4. Variable Expressions**

4.1 Evaluating Variable Expressions

4.2 Simplifying Variable Expressions

4.3 Translating Verbal Expressions into Variable Expressions

**5. Solving Equations**

5.1 Introduction to Equations

5.2 General Equations -- Part I

5.3 General Equations -- Part II

5.4 Translating Sentences into Equations

5.5 Mixture and Uniform Motion Problems

**6. Proportion and Percent**

6.1 Ratios and Rates

6.2 Proportion

6.3 Percent

6.4 The Basic Percent Equation

6.5 Simple Interest

**7. Geometry**

7.1 Introduction to Geometry

7.2 Plane Geometric Figures

7.3 Triangles

7.4 Solids

**8. Statistics and Probability**

8.1 Statistical Graphs

8.2 Statistical Measures

8.3 Introduction to Probability

**9. Polynomials**

9.1 Addition and Subtraction of Polynomials

9.2 Multiplication of Monomials

9.3 Multiplication of Polynomials

9.4 Integer Exponents and Scientific Notation

9.5 Division of Polynomials

**10. Factoring**

10.1 Common Factors

10.2 Factoring Polynomials of the Form x2 + bx + c

10.3 Factoring Polynomials of the Form ax2 + bx + c

10.4 Special Factoring

10.5 Solving Equations

**11. Rational Expressions**

11.1 Multiplication and Division of Rational Expressions

11.2 Expressing Fractions in Terms of the Least Common Multiple (LCM)

11.3 Addition and Subtraction of Rational Expressions

11.4 Complex Fractions

11.5 Solving Equations Containing Fractions

11.6 Literal Equations

11.7 Application Problems

**12. Linear Equations in Two Variables**

12.1 The Rectangular Coordinate System

12.2 Linear Equations in Two Variables

12.3 Intercepts and Slopes of Straight Lines

12.4 Equations of Straight Lines

**13. Systems of Linear Equations**

13.1 Solving Systems of Linear Equations by Graphing

13.2 Solving Systems of Linear Equations by the Substitution Method

13.3 Solving Systems of Equations by the Addition Method

13.4 Application Problems in Two Variables

**14. Inequalities**

14.1 Sets

14.2 The Addition and Multiplication Properties of Inequalities

14.3 General Inequalities

14.4 Graphing Linear Inequalities

**15. Radical Expressions**

15.1 Introduction to Radical Expressions

15.2 Addition and Subtraction of Radical Expressions

15.3 Multiplication and Division of Radical Expressions

15.4 Solving Equations Containing Radical Expressions

**16. Quadratic Equations**

16.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

16.2 Solving Quadratic Equations by Completing the Square

16.3 Solving Quadratic Equations by Using the Quadratic Formula

16.4 Graphing Quadratic Equations in Two Variables

16.5 Application Problems

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2007

International: No

Published: 2007

International: No

Proven, class-tested content from two best-selling texts is now available in one convenient, cost-saving volume. Prealgebra and Introductory Algebra guides students to success by offering a single, consistent voice and format for the two-term developmental mathematics sequence.

- 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 HM 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. Whole Numbers**

1.1 Introduction to Whole Numbers

1.2 Addition and Subtraction of Whole Numbers

1.3 Multiplication and Division of Whole Numbers

1.4 The Order of Operations Agreement

**2. Fractions and Decimals**

2.1 The Least Common Multiple and Greatest Common Factor

2.2 Introduction to Fractions

2.3 Addition and Subtraction of Fractions

2.4 Multiplication and Division of Fractions

2.5 Introduction to Decimals

2.6 Operations on Decimals

2.7 The Order of Operations Agreement

**3. Rational Numbers**

3.1 Introduction to Integers

3.2 Addition and Subtraction of Integers

3.3 Multiplication and Division of Integers

3.4 Operations with Rational Numbers

3.5 The Order of Operations Agreement

**4. Variable Expressions**

4.1 Evaluating Variable Expressions

4.2 Simplifying Variable Expressions

4.3 Translating Verbal Expressions into Variable Expressions

**5. Solving Equations**

5.1 Introduction to Equations

5.2 General Equations -- Part I

5.3 General Equations -- Part II

5.4 Translating Sentences into Equations

5.5 Mixture and Uniform Motion Problems

**6. Proportion and Percent**

6.1 Ratios and Rates

6.2 Proportion

6.3 Percent

6.4 The Basic Percent Equation

6.5 Simple Interest

**7. Geometry**

7.1 Introduction to Geometry

7.2 Plane Geometric Figures

7.3 Triangles

7.4 Solids

**8. Statistics and Probability**

8.1 Statistical Graphs

8.2 Statistical Measures

8.3 Introduction to Probability

**9. Polynomials**

9.1 Addition and Subtraction of Polynomials

9.2 Multiplication of Monomials

9.3 Multiplication of Polynomials

9.4 Integer Exponents and Scientific Notation

9.5 Division of Polynomials

**10. Factoring**

10.1 Common Factors

10.2 Factoring Polynomials of the Form x2 + bx + c

10.3 Factoring Polynomials of the Form ax2 + bx + c

10.4 Special Factoring

10.5 Solving Equations

**11. Rational Expressions**

11.1 Multiplication and Division of Rational Expressions

11.2 Expressing Fractions in Terms of the Least Common Multiple (LCM)

11.3 Addition and Subtraction of Rational Expressions

11.4 Complex Fractions

11.5 Solving Equations Containing Fractions

11.6 Literal Equations

11.7 Application Problems

**12. Linear Equations in Two Variables**

12.1 The Rectangular Coordinate System

12.2 Linear Equations in Two Variables

12.3 Intercepts and Slopes of Straight Lines

12.4 Equations of Straight Lines

**13. Systems of Linear Equations**

13.1 Solving Systems of Linear Equations by Graphing

13.2 Solving Systems of Linear Equations by the Substitution Method

13.3 Solving Systems of Equations by the Addition Method

13.4 Application Problems in Two Variables

**14. Inequalities**

14.1 Sets

14.2 The Addition and Multiplication Properties of Inequalities

14.3 General Inequalities

14.4 Graphing Linear Inequalities

**15. Radical Expressions**

15.1 Introduction to Radical Expressions

15.2 Addition and Subtraction of Radical Expressions

15.3 Multiplication and Division of Radical Expressions

15.4 Solving Equations Containing Radical Expressions

**16. Quadratic Equations**

16.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

16.2 Solving Quadratic Equations by Completing the Square

16.3 Solving Quadratic Equations by Using the Quadratic Formula

16.4 Graphing Quadratic Equations in Two Variables

16.5 Application Problems