Introductory Algebra: An Applied Approach / Edition 7

Introductory Algebra: An Applied Approach / Edition 7

by Richard N. Aufmann
Pub. Date:
Cengage Learning
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Introductory Algebra: An Applied Approach / Edition 7

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.

Product Details

ISBN-13: 9780618520367
Publisher: Cengage Learning
Publication date: 04/18/2005
Edition description: New Edition
Product dimensions: 6.60(w) x 10.00(h) x 0.50(d)

Table of Contents

Note: Each chapter begins with a Prep Test and concludes with a Chapter Summary, a Chapter Review, and a Chapter Test. Chapters 2-11 include Cumulative Review Exercises. A. AIM FOR SUCCESS. 1. PREALGEBRA REVIEW. 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. 2. VARIABLE EXPRESSIONS. Evaluating Variable Expressions. Simplifying Variable Expressions. Translating Verbal Expressions into Variable Expressions. 3. SOLVING EQUATIONS. Introduction to Equations. The Basic Percent Equation and the Uniform Motion Equation. General Equations--Part I. General Equations--Part II. Translating Sentences into Equations. Geometry Problems. Mixture and Uniform Motion Problems. 4. POLYNOMIALS. Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Integer Exponents and Scientific Notation. Division of Polynomials. 5. FACTORING. Common Factors. Factoring Polynomials of the Form x² + bx + c. Factoring Polynomials of the Form ax² + bx + c. Special Factoring. Factoring Polynomials Completely. Solving Equations. 6. RATIONAL EXPRESSIONS. Multiplication and Division of Rational Expressions. Expressing Fractions in Terms of the Least Common Multiple (LCM) of the denominators. Addition and Subtraction of Rational Expressions. Complex Fractions. Solving Equations Containing Fractions. Ratio and Proportion. Literal Equations. Application Problems. 7. LINEAR EQUATIONS IN TWO VARIABLES. The Rectangular Coordinate System. Linear Equations in Two Variables. Intercepts and Slopes of Straight Lines. Equations of Straight Lines. 8. SYSTEMS OF LINEAR EQUATIONS. 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. 9. INEQUALITIES. Sets. The Addition and Multiplication Properties of Inequalities. General Inequalities. Graphing Linear Inequalities. 10. RADICAL EXPRESSIONS. Introduction to Radical Expressions. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Solving Equations Containing Radical Expressions. 11. QUADRATIC EQUATIONS. 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. FINAL EXAM. APPENDIX. Solutions to You-Try-Its. Answers to Selected Exercises. GLOSSARY. INDEX.

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