Introductory Algebra: An Applied Approach / Edition 7

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As a best-selling text for developmental first-year algebra courses, Introductory Algebra: An Applied Approach, Sixth Edition continues to provide mathematically sound and comprehensive coverage of the topics considered essential in a basic college math course. The Aufmann Interactive Method incorporated throughout the text ensures that students master the concepts presented by actively practicing them as they are introduced. This approach is ideal for traditional and returning students in both classroom and distance-learning environments.

The Sixth Edition features new discussion of parallel lines in Chapter 7. Discussion of solutions of systems of equations in Chapter 8 has been expanded and enhanced to promote greater understanding of dependent, inconsistent, and independent systems of equations. Simplification of square roots in Chapter 10 is now presented using perfect squares. New concept-based writing exercises encourage students to verbalize and understand concepts and new developmental exercises in many exercise sets further reinforce concepts and skills.

  • The Aufmann Interactive Method helps students learn and understand math concepts by doing the math. Every objective contains one or more sets of matched-pair examples that encourage interaction with the concepts. Students first walk through a worked-out example and then solve a similar You Try It example. Complete solutions to these examples are available in an appendix.
  • An Integrated Learning System organized by objectives helps students understand what they're learning and why as they apply new concepts throughout the chapter.Each chapter begins with a list of goals that formthe framework for a complete learning system. These objectives are woven throughout the text, in Exercises, Chapter Tests, Cumulative Reviews, as well as through the print and multimedia ancillaries.
  • New! An Instructor's Annotated Edition, rich with support material, provides reduced pages from the Student Edition to leave space for the following features: Instructor Notes; In-Class Examples; Concept Checks; Discuss the Concepts; Special presentation of new Vocabulary/ Symbols/Formulas/Rules/Properties/Equations; Special review of these same features; Optional Student Activities; Quick Quizzes; Answers to Writing Exercises; Suggested Assignments; and Answers to all exercises.
  • New! AIM for Success, a special student preface, offers techniques and support for student success.
  • New! Prep Tests at the beginning of each chapter assess students' prerequisite skills. Students may check answers in an appendix, which refers them back to aprevious objective for review, if necessary.
  • New! Go Figure challenge problems follow the Prep Test to engage students in problem solving.
  • New! Updated data problems, designed to show students the relevance of mathematics across the disciplines and in daily life, reflect current data and trends. Instructors will find these problems useful springboards for interesting class discussions.
  • New! Additional and revised Projects and Group Activities enable students to see the connections between abstract concepts and real-life situations. Applications represent a variety of fields such as music, the consumer price index, buying a car, and symmetry.
  • Strong emphasis on applications demonstrates the value of mathematics as a real-life tool. Contemporary application problems employ real source data. Chapter openers have been updated with new photos and captions illustrating a specific application from the chapter.
  • Focus on Problem Solving and active learning strengthen problem-solving skills. This chapter-ending feature introduces students to various problem-solving strategies.
  • Verbal/Mathematical Connection ensures thorough understanding of concepts. Unlike most textbooks, this series simultaneously introduces verbal phrases for mathematical operations and the operations themselves. Exercises then prompt students to make a connection between a phrase and a mathematical process.
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Product Details

  • ISBN-13: 9780618520367
  • Publisher: Cengage Learning
  • Publication date: 4/18/2005
  • Edition description: New Edition
  • Edition number: 7
  • Product dimensions: 6.60 (w) x 10.00 (h) x 0.50 (d)

Meet the Author

Richard Aufmann is the lead author of two bestselling developmental math series and a bestselling college algebra and trigonometry series, as well as several derivative math texts. He received a BA in mathematics from the University of California, Irvine, and an MA in mathematics from California State University, Long Beach. Mr. Aufmann taught math, computer science, and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum, and the impact of technology on curriculum development.

Vernon Barker has retired from Palomar College where he was Professor of Mathematics. He is a co-author on the majority of Aufmann texts, including the best-selling developmental paperback series.

Joanne Lockwood received a BA in English Literature from St. Lawrence University and both an MBA and a BA in mathematics from Plymouth State University. Ms. Lockwood taught at Plymouth State University and Nashua Community College in New Hampshire, and has over 20 years' experience teaching mathematics at the high school and college level. Ms. Lockwood has co-authored two bestselling developmental math series, as well as numerous derivative math texts and ancillaries. Ms. Lockwood's primary interest today is helping developmental math students overcome their challenges in learning math.

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Table of Contents

Note: Each chapter begins with a Prep Test and concludes with a Summary, Review Exercises, and Test. Chapters 2-6 are followed by Cumulative Review Exercises. 1. Prealgebra Review Section 1.1 Introduction to Integers Section 1.2 Addition and Subtraction of Integers Section 1.3 Multiplication and Division of Integers Section 1.4 Exponents and the Order of Operations Agreement Section 1.5 Factoring Numbers and Prime Factorization Section 1.6 Addition and Subtraction of Rational Numbers Section 1.7 Multiplication and Division of Rational Numbers Section 1.8 Concepts from Geometry Focus on Problem Solving: Inductive Reasoning Projects and Group Activities: The +/- Key on a Calculator 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: Prime and Composite Numbers 3. Solving Equations Section 3.1 Introduction to Equations Section 3.2 General Equations—Part I Section 3.3 General Equations—Part II Section 3.4 Translating Sentences into Equations Section 3.5 Geometry Problems Section 3.6 Mixture and Uniform Motion Problems Focus on Problem Solving: Trial-and-Error Approach to Problem Solving Projects and Group Activities: Nielsen Ratings 4. Polynomials Section 4.1 Addition and Subtraction of Polynomials Section 4.2 Multiplication of Monomials Section 4.3 Multiplication of Polynomials Section 4.4 Integer Exponents and Scientific Notation Section 4.5 Division of Polynomials Focus on Problem Solving: Dimensional Analysis Projects and Group Activities: Diagramming the Square of a Binomial 5. Factoring Section 5.1 Common Factors Section 5.2 Factoring Polynomials of the Form x2 + bx + c Section 5.3 Factoring Polynomials of the Form ax2 + bx + c Section 5.4 Special Factoring Section 5.5 Solving Equations Focus on Problem Solving: Making a Table Projects and Group Activities: Evaluating Polynomials Using a Graphing Calculator 6. Rational Expressions Section 6.1 Multiplication and Division of Rational Expressions Section 6.2 Expressing Fractions in Terms of the Least Common Multiple (LCM) Section 6.3 Addition and Subtraction of Rational Expressions Section 6.4 Complex Fractions Section 6.5 Solving Equations Containing Fractions Section 6.6 Ratio and Proportion Section 6.7 Literal Equations Section 6.8 Application Problems Focus on Problem Solving: Negations and If. . .then Sentences Projects and Group Activities: Intensity of Illumination 7. Linear Equations in Two Variables Section 7.1 The Rectangular Coordinate System Section 7.2 Linear Equations in Two Variables Section 7.3 Intercepts and Slopes of Straight Lines Section 7.4 Equations of Straight Lines Focus on Problem Solving: Counterexamples Projects and Group Activities: Graphing Linear Equations with a Graphing Utility 8. Systems of Linear Equations Section 8.1 Solving Systems of Linear Equations by Graphing Section 8.2 Solving Systems of Linear Equations by the Substitution Method Section 8.3 Solving Systems of Equations by the Addition Method Section 8.4 Application Problems in Two Variables Focus on Problem Solving: Using a Table and Searching for a Pattern Projects and Group Activities: Finding a Pattern 9. Inequalities Section 9.1 Sets Section 9.2 The Addition and Multiplication Properties of Inequalities Section 9.3 General Inequalities Section 9.4 Graphing Linear Inequalities Focus on Problem Solving: Graphing Data Projects and Group Activities: Mean and Standard Deviation 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: Distance to the Horizon 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: Algebraic Manipulation and Graphing Techniques Projects and Group Activities: Graphical Solutions of Quadratic Equations

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