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# Beginning Algebra with Applications

**by**Aufmann,Richard N.

6th

### 9780618306053

0618306056

Hardcover

1/27/2003

Cengage Learning

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## Summary

Designed for the first-year developmental math course in beginning algebra, this text 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. The IAE, rich with 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 Conceptsprompts;Concept Checkquestions;Optional Student Activities; In-Class Examplesto present with every objective;Suggested Assignments; Quick Quiz;and Answers to selectedWriting Exercises, Focus on Problem Solvingactivities, andProjects and Group Activities. 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. Eduspace, powered by Blackboard, for the Aufmann/Barker/LockwoodBeginning Algebracourse includes algorithmic exercises, an online Study Guide and test bank content in question pools.

## Table of Contents

Contents Note: Each chapter concludes with a Chapter Summary, Chapter Review Exercises, and a Chapter Test. Chapters 2-11 include Cumulative Review Exercises. 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 Consumer 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; Diagramming 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 Involvin