ISBN13: 978-0618306053

ISBN10: 0618306056

Cover type:

Edition/Copyright: 6TH 04

Publisher: Houghton Mifflin Harcourt

Published: 2004

International: No

ISBN10: 0618306056

Cover type:

Edition/Copyright: 6TH 04

Publisher: Houghton Mifflin Harcourt

Published: 2004

International: No

Designed for the first-year developmental math course in beginning algebra, thistext retains the hallmark features that have given the Aufmann texts a solid reputation for reliability: a clear writing style, an emphasis on problem-solving strategies, and the acclaimed Aufmann Interactive Method. The text's objective-based framework offers guided learning for both lecture and self-paced courses.

- New! The revised IAE, rich with new instructor support materials, features reduced student pages with support material in the margins. (Answers to exercises and transparency icons appear on the reduced student page.) Features include Instructor Notes; tips for introducing new or recycled vocabulary, symbols, formulas, rules, properties or equations; Discuss the Concepts prompts; Concept Check questions; Optional Student Activities; In-Class Examples to present with every objective; Suggested Assignments; Quick Quiz; and Answers to selected Writing Exercises, Focus on Problem Solving activities, and Projects and Group Activities.
- New! AIM for Success, a special preface for students, guides them in how to be successful using the text and the Aufmann Interactive Method (AIM). Suggestions for using the Preface as a lesson are featured in the Instructor's Resource Manual.
- New! Prep Tests at the beginning of each chapter highlight the prerequisite skills used in the upcoming chapter. 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. Students who miss a question are encouraged to review the objective. The Go Figure problem that follows the Prep Test is a puzzle problem for interested students.
- New! Redesigned chapter openers now feature two-page spreads with motivating photos and captions that illustrate and reference a specific application from the chapter. A list of applications in the chapter is also provided.
- The Aufmann Interactive Method (AIM), which accompanies every objective, features one or more sets of matched-pair examples that encourage students to interact with the text. The first example in each set is completely worked out; the matched Problem, prompts students to practice concepts as they are presented in the text. Each Problem includes a reference to completely worked-out solution in an Appendix in the back of the text to which the student can refer for immediate feedback, concept reinforcement, identification of problem areas, and prevention of frustration.
- An integrated learning system organized by objectives provides the main framework for the text. Each chapter begins with a list of learning objectives, which are woven throughout the text, in Exercises, Chapter Tests, and Cumulative Reviews, as well as through the print and multimedia ancillaries. The result is a seamless, easy-to-follow learning system.
- An extensive collection of contemporary application problems draws from real source data to show students the value of mathematics as a real-life tool. Chapter openers have been updated to include new photos and captions illustrating and referencing a specific application from the chapter, as well as a list of all applications (with page references) found in the chapter.
- Chapter-ending Focus on Problem Solving introduces students to various problem-solving strategies. Students are encouraged to write their own strategies and draw diagrams to find solutions. The use of some open-ended problems results in more than one right answer and strengthens problem -solving skills.
- Take Note boxes in the margins alert students to more complex procedures or remind them to check their work.
- Point of Interest margin notes offer interesting background information on the topic being discussed.
- Concept Review Exercises preceding every exercise set test students' understanding by asking them to respond, "always true, sometimes true, or never true." Using Concept Review exercises as oral exercises at the end of a class section can lead to interesting class discussions.
- A wide variety of problem sets, identified by icons to denote writing, real data, calculator, and web exercises, includes completely updated Real Data Problems, integrated Writing Exercises, and section-ending Applying Concepts exercises that require interpretation, analysis, and critical thinking.
- Updated Projects and Group Activities near the end of each chapter provide opportunities for extra credit or cooperative learning activities. Implementing strategies suggested by AMATYC, students can use these projects to explore topics relating to functions, geometry, statistics, science, and business. Projects with real-world relevance requiring use of the Internet are set off from the text with a web icon.
- Each chapter concludes with a Chapter Summary, Chapter Review Exercises, a Chapter Test, and Cumulative Review Exercises.

Author Bio

**Aufmann, Richard N. : Palomar College **

Richard Aufmann is Professor of Mathematics at Palomar College in California. He is the lead author of two best-selling developmental math series, a best-selling college algebra and trigonometry series, as well as several derivative math texts. The Aufmann name is highly recognized and respected among college mathematics faculty.

**Barker, Vernon C. : Palomar College**

**Lockwood, Joanne S. : Plymouth State College **

Joanne Lockwood is Assistant Professor of Mathematics at Plymouth State College in Plymouth, New Hampshire. She is co-author with Aufmann and Vernon Barker on the hardback developmental series, Business Mathematics, Algebra with Trigonometry for College Students, and numerous software ancillaries that accompany Aufmann titles. She is also co-authoring Mathematical Excursions with Aufmann.

1. Real Numbers

Section 1.1 Introduction to Integers

Section 1.2 Operations with Integers

Section 1.3 Rational Numbers

Section 1.4 Exponents and the Order of Operations Agreement

Focus on Problem Solving: Inductive Reasoning

Projects and Group Activities: Calculators, Using Patterns in Mathematics, www.fedstats.gov, Moving Averages

2. Variable Expressions

Section 2.1 Evaluating Variable Expressions

Section 2.2 Simplifying Variable Expressions

Section 2.3 Translating Verbal Expressions into Variable Expressions

Focus on Problem Solving: From Concrete to Abstract

Projects and Group Activities: Investigation into Operations with Even and Odd Integers, Applications of Patterns in Mathematics

3. Solving Equations and Inequalities

Section 3.1 Introduction to Equations

Section 3.2 General Equations

Section 3.3 Inequalities

Focus on Problem Solving: Analyzing Data

Projects and Group Activities: Health and Nutrition, The Cosumer Price Index

4. Solving Equations and Inequalities: Applications

Section 4.1 Translating Sentences into Equations

Section 4.2 Integer, Coin, and Stamp Problems

Section 4.3 Geometry Problems

Section 4.4 Markup and Discount Problems

Section 4.5 Investment Problems

Section 4.6 Mixture Problems

Section 4.7 Uniform Motion Problems

Section 4.8 Inequalities

Focus on Problem Solving: Trial-and-Error Approach to Problem Solving, Diagraming Problems

Projects and Group Activities: Nielsen Ratings, Changes in Percent Concentration

5. Linear Equations and Inequalities

Section 5.1 The Rectangular Coordinate System

Section 5.2 Graphs of Straight Lines

Section 5.3 Slopes of Straight Lines

Section 5.4 Equations of Straight Lines

Section 5.5 Functions

Section 5.6 Graphing Linear Inequalities

Focus on Problem Solving: Counterexamples

Projects and Group Activities: Graphing Linear Equations with a Graphing Utility, Population Projections

6. Systems of Linear Equations

Section 6.1 Solving Systems of Linear Equations by Graphing

Section 6.2 Solving Systems of Linear Equations by the Substitution Method

Section 6.3 Solving Systems of Linear Equations by the Addition Method

Section 6.4 Application Problems in Two Variables

Focus on Problem Solving: Using a Table and Searching for a Pattern

Projects and Group Activities: Find a Pattern, Break-even Analysis, Solving a System of Equations with a Graphing Calculator

7. Polynomials

Section 7.1 Addition and Subtraction of Polynomials

Section 7.2 Multiplication of Monomials

Section 7.3 Multiplication of Polynomials

Section 7.4 Integer Exponents and Scientific Notation

Section 7.5 Division of Polynomials

Focus on Problem Solving: Dimensional Analysis

Projects and Group Activities: Pascal's Triangle, Population and Land Allocation, Properties of Polynomials

8. Factoring

Section 8.1 Common Factors

Section 8.2 Factoring Polynomials of the Form x2 + bx + c

Section 8.3 Factoring Polynomials of the Form ax2 + bx + c

Section 8.4 Special Factoring

Section 8.5 Solving Equations

Focus on Problem Solving: Making a Table, The Trial-and-Error Method

Projects and Group Activities: Prime and Composite Numbers, Search the World Wide Web, Problems Involving Falling Objects

9. Rational Expressions

Section 9.1 Multiplication and Division of Rational Expressions

Section 9.2 Expressing Fractions in Terms of the Least Common Multiple of Their Denominators

Section 9.3 Addition and Subtraction of Rational Expressions

Section 9.4 Complex Fractions

Section 9.5 Equations Containing Fractions

Section 9.6 Literal Equations

Section 9.7 Application Problems

Focus on Problem Solving: Negations and If...then...Sentences, Calculators

Projects and Group Activities: Intensity of Illumination, Scale Model of the Solar System

10. Radical Expressions

Section 10.1 Introduction to Radical Expressions

Section 10.2 Addition and Subtraction of Radical Expressions

Section 10.3 Multiplication and Division of Radical Expressions

Section 10.4 Solving Equations Containing Radical Expressions

Focus on Problem Solving: Deductive Reasoning

Projects and Group Activities: Mean and Standard Deviation, Distance to the Horizon, Expressway On-Ramp Curves

11. Quadratic Equations

Section 11.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

Section 11.2 Solving Quadratic Equations by Completing the Square

Section 11.3 Solving Quadratic Equations by Using the Quadratic Formula

Section 11.4 Graphing Quadratic Equations in Two Variables

Section 11.5 Application Problems

Focus on Problem Solving: Applying Algebraic Manipulation and Graphing Techniques to Business

Projects and Group Activities: Graphical Solutions of Quadratic Equations, Geometric Construction of Completing the Square

Final Exam

Graphing Calculator Appendix

Solutions to Student Problems

Answers to Selected Exercises

Glossary

Index

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

ISBN13: 978-0618306053ISBN10: 0618306056

Cover type:

Edition/Copyright: 6TH 04

Publisher: Houghton Mifflin Harcourt

Published: 2004

International: No

Designed for the first-year developmental math course in beginning algebra, thistext retains the hallmark features that have given the Aufmann texts a solid reputation for reliability: a clear writing style, an emphasis on problem-solving strategies, and the acclaimed Aufmann Interactive Method. The text's objective-based framework offers guided learning for both lecture and self-paced courses.

- New! The revised IAE, rich with new instructor support materials, features reduced student pages with support material in the margins. (Answers to exercises and transparency icons appear on the reduced student page.) Features include Instructor Notes; tips for introducing new or recycled vocabulary, symbols, formulas, rules, properties or equations; Discuss the Concepts prompts; Concept Check questions; Optional Student Activities; In-Class Examples to present with every objective; Suggested Assignments; Quick Quiz; and Answers to selected Writing Exercises, Focus on Problem Solving activities, and Projects and Group Activities.
- New! AIM for Success, a special preface for students, guides them in how to be successful using the text and the Aufmann Interactive Method (AIM). Suggestions for using the Preface as a lesson are featured in the Instructor's Resource Manual.
- New! Prep Tests at the beginning of each chapter highlight the prerequisite skills used in the upcoming chapter. 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. Students who miss a question are encouraged to review the objective. The Go Figure problem that follows the Prep Test is a puzzle problem for interested students.
- New! Redesigned chapter openers now feature two-page spreads with motivating photos and captions that illustrate and reference a specific application from the chapter. A list of applications in the chapter is also provided.
- The Aufmann Interactive Method (AIM), which accompanies every objective, features one or more sets of matched-pair examples that encourage students to interact with the text. The first example in each set is completely worked out; the matched Problem, prompts students to practice concepts as they are presented in the text. Each Problem includes a reference to completely worked-out solution in an Appendix in the back of the text to which the student can refer for immediate feedback, concept reinforcement, identification of problem areas, and prevention of frustration.
- An integrated learning system organized by objectives provides the main framework for the text. Each chapter begins with a list of learning objectives, which are woven throughout the text, in Exercises, Chapter Tests, and Cumulative Reviews, as well as through the print and multimedia ancillaries. The result is a seamless, easy-to-follow learning system.
- An extensive collection of contemporary application problems draws from real source data to show students the value of mathematics as a real-life tool. Chapter openers have been updated to include new photos and captions illustrating and referencing a specific application from the chapter, as well as a list of all applications (with page references) found in the chapter.
- Chapter-ending Focus on Problem Solving introduces students to various problem-solving strategies. Students are encouraged to write their own strategies and draw diagrams to find solutions. The use of some open-ended problems results in more than one right answer and strengthens problem -solving skills.
- Take Note boxes in the margins alert students to more complex procedures or remind them to check their work.
- Point of Interest margin notes offer interesting background information on the topic being discussed.
- Concept Review Exercises preceding every exercise set test students' understanding by asking them to respond, "always true, sometimes true, or never true." Using Concept Review exercises as oral exercises at the end of a class section can lead to interesting class discussions.
- A wide variety of problem sets, identified by icons to denote writing, real data, calculator, and web exercises, includes completely updated Real Data Problems, integrated Writing Exercises, and section-ending Applying Concepts exercises that require interpretation, analysis, and critical thinking.
- Updated Projects and Group Activities near the end of each chapter provide opportunities for extra credit or cooperative learning activities. Implementing strategies suggested by AMATYC, students can use these projects to explore topics relating to functions, geometry, statistics, science, and business. Projects with real-world relevance requiring use of the Internet are set off from the text with a web icon.
- Each chapter concludes with a Chapter Summary, Chapter Review Exercises, a Chapter Test, and Cumulative Review Exercises.

Author Bio

**Aufmann, Richard N. : Palomar College **

Richard Aufmann is Professor of Mathematics at Palomar College in California. He is the lead author of two best-selling developmental math series, a best-selling college algebra and trigonometry series, as well as several derivative math texts. The Aufmann name is highly recognized and respected among college mathematics faculty.

**Barker, Vernon C. : Palomar College**

**Lockwood, Joanne S. : Plymouth State College **

Joanne Lockwood is Assistant Professor of Mathematics at Plymouth State College in Plymouth, New Hampshire. She is co-author with Aufmann and Vernon Barker on the hardback developmental series, Business Mathematics, Algebra with Trigonometry for College Students, and numerous software ancillaries that accompany Aufmann titles. She is also co-authoring Mathematical Excursions with Aufmann.

Table of Contents

Section 1.1 Introduction to Integers

Section 1.2 Operations with Integers

Section 1.3 Rational Numbers

Section 1.4 Exponents and the Order of Operations Agreement

Focus on Problem Solving: Inductive Reasoning

Projects and Group Activities: Calculators, Using Patterns in Mathematics, www.fedstats.gov, Moving Averages

2. Variable Expressions

Section 2.1 Evaluating Variable Expressions

Section 2.2 Simplifying Variable Expressions

Section 2.3 Translating Verbal Expressions into Variable Expressions

Focus on Problem Solving: From Concrete to Abstract

Projects and Group Activities: Investigation into Operations with Even and Odd Integers, Applications of Patterns in Mathematics

3. Solving Equations and Inequalities

Section 3.1 Introduction to Equations

Section 3.2 General Equations

Section 3.3 Inequalities

Focus on Problem Solving: Analyzing Data

Projects and Group Activities: Health and Nutrition, The Cosumer Price Index

4. Solving Equations and Inequalities: Applications

Section 4.1 Translating Sentences into Equations

Section 4.2 Integer, Coin, and Stamp Problems

Section 4.3 Geometry Problems

Section 4.4 Markup and Discount Problems

Section 4.5 Investment Problems

Section 4.6 Mixture Problems

Section 4.7 Uniform Motion Problems

Section 4.8 Inequalities

Focus on Problem Solving: Trial-and-Error Approach to Problem Solving, Diagraming Problems

Projects and Group Activities: Nielsen Ratings, Changes in Percent Concentration

5. Linear Equations and Inequalities

Section 5.1 The Rectangular Coordinate System

Section 5.2 Graphs of Straight Lines

Section 5.3 Slopes of Straight Lines

Section 5.4 Equations of Straight Lines

Section 5.5 Functions

Section 5.6 Graphing Linear Inequalities

Focus on Problem Solving: Counterexamples

Projects and Group Activities: Graphing Linear Equations with a Graphing Utility, Population Projections

6. Systems of Linear Equations

Section 6.1 Solving Systems of Linear Equations by Graphing

Section 6.2 Solving Systems of Linear Equations by the Substitution Method

Section 6.3 Solving Systems of Linear Equations by the Addition Method

Section 6.4 Application Problems in Two Variables

Focus on Problem Solving: Using a Table and Searching for a Pattern

Projects and Group Activities: Find a Pattern, Break-even Analysis, Solving a System of Equations with a Graphing Calculator

7. Polynomials

Section 7.1 Addition and Subtraction of Polynomials

Section 7.2 Multiplication of Monomials

Section 7.3 Multiplication of Polynomials

Section 7.4 Integer Exponents and Scientific Notation

Section 7.5 Division of Polynomials

Focus on Problem Solving: Dimensional Analysis

Projects and Group Activities: Pascal's Triangle, Population and Land Allocation, Properties of Polynomials

8. Factoring

Section 8.1 Common Factors

Section 8.2 Factoring Polynomials of the Form x2 + bx + c

Section 8.3 Factoring Polynomials of the Form ax2 + bx + c

Section 8.4 Special Factoring

Section 8.5 Solving Equations

Focus on Problem Solving: Making a Table, The Trial-and-Error Method

Projects and Group Activities: Prime and Composite Numbers, Search the World Wide Web, Problems Involving Falling Objects

9. Rational Expressions

Section 9.1 Multiplication and Division of Rational Expressions

Section 9.2 Expressing Fractions in Terms of the Least Common Multiple of Their Denominators

Section 9.3 Addition and Subtraction of Rational Expressions

Section 9.4 Complex Fractions

Section 9.5 Equations Containing Fractions

Section 9.6 Literal Equations

Section 9.7 Application Problems

Focus on Problem Solving: Negations and If...then...Sentences, Calculators

Projects and Group Activities: Intensity of Illumination, Scale Model of the Solar System

10. Radical Expressions

Section 10.1 Introduction to Radical Expressions

Section 10.2 Addition and Subtraction of Radical Expressions

Section 10.3 Multiplication and Division of Radical Expressions

Section 10.4 Solving Equations Containing Radical Expressions

Focus on Problem Solving: Deductive Reasoning

Projects and Group Activities: Mean and Standard Deviation, Distance to the Horizon, Expressway On-Ramp Curves

11. Quadratic Equations

Section 11.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

Section 11.2 Solving Quadratic Equations by Completing the Square

Section 11.3 Solving Quadratic Equations by Using the Quadratic Formula

Section 11.4 Graphing Quadratic Equations in Two Variables

Section 11.5 Application Problems

Focus on Problem Solving: Applying Algebraic Manipulation and Graphing Techniques to Business

Projects and Group Activities: Graphical Solutions of Quadratic Equations, Geometric Construction of Completing the Square

Final Exam

Graphing Calculator Appendix

Solutions to Student Problems

Answers to Selected Exercises

Glossary

Index

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