Introductory Algebra: An Applied Approach / Edition 7

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Overview

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.

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

1. PREALGEBRA REVIEW. Prep Test. Introduction to Integers. Addition and Subtraction of Integers. Multiplication and Division of Integers. Exponents and the Order of Operations Agreement. Factoring Numbers and Prime Factorization. Addition and Subtraction of Rational Numbers. Multiplication and Division of Rational Numbers. Concepts from Geometry. Focus on Problem Solving: Inductive Reasoning. Projects and Group Activities: The +/- Key on a Calculator, Balance of Trade. Chapter 1 Summary. Concept Review. Chapter 1 Review Exercises. Chapter 1 Test. 2. VARIABLE EXPRESSIONS. Prep Test. Evaluating Variable Expressions. Simplifying Variable Expressions. Translating Verbal Expressions into Variable Expressions. Focus on Problem Solving: From Concrete to Abstract. Projects and Group Activities: Prime and Composite Numbers. Chapter 2 Summary. Concept Review. Chapter 2 Review Exercises. Chapter 2 Test. Cumulative Review Exercises. 3. SOLVING EQUATIONS. Prep Test. Introduction to Equations. General Equations—Part I. General Equations—Part II. Translating Sentences into Equations. Geometry Problems. Mixture and Uniform Motion Problems. Focus on Problem Solving: Trial-and-Error Approach to Problem Solving. Projects and Group Activities: Nielsen Ratings. Chapter 3 Summary. Concept Review. Chapter 3 Review Exercises. Chapter 3 Test. Cumulative Review Exercises. 4. POLYNOMIALS. Prep Test. Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Integer Exponents and Scientific Notation. Division of Polynomials. Focus on Problem Solving: Dimensional Analysis. Projects and Group Activities: Diagramming the Square of a Binomial, Pascal's Triangle. Chapter 4 Summary. Concept Review. Chapter 4 Review Exercises. Chapter 4 Test. Cumulative Review Exercises. 5. FACTORING. Prep Test. Common Factors. Factoring Polynomials of the Form x² + bx + c. Factoring Polynomials of the Form ax² + bx + c. Special Factoring. Solving Equations. Focus on Problem Solving: Making a Table. Projects and Group Activities: Evaluating Polynomials Using a Graphing Calculator, Exploring Integers, Using the World Wide Web. Chapter 5 Summary. Concept Review. Chapter 5 Review Exercises. Chapter 5 Test. Cumulative Review Exercises. 6. RATIONAL EXPRESSIONS. Prep Test. Multiplication and Division of Rational Expressions. Expressing Fractions in Terms of the Least Common Multiple (LCM). Addition and Subtraction of Rational Expressions. Complex Fractions. Solving Equations Containing Fractions. Ratio and Proportion. Literal Equations. Application Problems. Focus on Problem Solving: Negations and If … then Sentences. Projects and Group Activities: Intensity of Illumination. Chapter 6 Summary. Concept Review. Chapter 6 Review Exercises. Chapter 6 Test. Cumulative Review Exercises. 7. LINEAR EQUATIONS IN TWO VARIABLES. Prep Test. The Rectangular Coordinate System. Linear Equations in Two Variables. Intercepts and Slopes of Straight Lines. Equations of Straight Lines. Focus on Problem Solving: Counterexamples. Projects and Group Activities: Graphing Linear Equations with a Graphing Utility. Chapter 7 Summary. Concept Review. Chapter 7 Review Exercises. Chapter 7 Test. Cumulative Review Exercises. 8. SYSTEMS OF LINEAR EQUATIONS. Prep Test. Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by the Substitution Method. Solving Systems of Equations by the Addition Method. Application Problems in Two Variables. Focus on Problem Solving: Calculators. Projects and Group Activities: Solving a System of Equations with a Graphing Calculator. Chapter 8 Summary. Concept Review. Chapter 8 Review Exercises. Chapter 8 Test. Cumulative Review Exercises. 9. INEQUALITIES. Prep Test. Sets. The Addition and Multiplication Properties of Inequalities. General Inequalities. Graphing Linear Inequalities. Focus on Problem Solving: Graphing Data. Projects and Group Activities: Mean and Standard Deviation. Chapter 9 Summary. Concept Review. Chapter 9 Review Exercises. Chapter 9 Test. Cumulative Review Exercises. 10.RADICAL EXPRESSIONS. Prep Test. Introduction to Radical Expressions. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Solving Equations Containing Radical Expressions. Focus on Problem Solving: Deductive Reasoning. Projects and Group Activities: Distance to the Horizon. Chapter 10 Summary. Concept Review. Chapter 10 Review Exercises. Chapter 10 Test. Cumulative Review Exercises. 11. QUADRATIC EQUATIONS. Prep Test. Solving Quadratic Equations by Factoring or by Taking Square Roots. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations By Using the Quadratic Formula. Graphing Quadratic Equations in Two Variables. Application Problems. Focus on Problem Solving: Algebraic Manipulation and Graphing Techniques. Projects and Group Activities: Graphical Solutions of Quadratic Equations, Geometric Construction of Completing the Square. Chapter 11 Summary. Concept Review. Chapter 11 Review Exercises. Chapter 11 Test. Cumulative Review Exercises. Final Exam. Appendix. Solutions to You-Try-Its. Answers to Selected Exercises. Glossary. Index.

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