Introductory Algebra: An Applied Approach, 9th Edition

Richard N. Aufmann, Joanne S. Lockwood

Copyright 2014
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Introductory Algebra: An Applied Approach 9th Edition by Richard N. Aufmann/Joanne S. Lockwood

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Overview
Meet the Authors
What's New
Features
Table of Contents
Pricing

Overview

As in previous editions, the focus in INTRODUCTORY ALGEBRA remains on the Aufmann Interactive Method (AIM). Students are encouraged to be active participants in the classroom and in their own studies as they work through the How To examples and the paired Examples and You Try It problems. Student engagement is crucial to success. Presenting students with worked examples, and then providing them with the opportunity to immediately solve similar problems, helps them build their confidence and eventually master the concepts.

Simplicity is key in the organization of this edition, as in all other editions. All lessons, exercise sets, tests, and supplements are organized around a carefully constructed hierarchy of objectives. Each exercise mirrors a preceding objective, which helps to reinforce key concepts and promote skill building. This clear, objective-based approach allows students to organize their thoughts around the content, and supports instructors as they work to design syllabi, lesson plans, and other administrative documents.

New features like Focus on Success, Apply the Concept, and Concept Check add an increased emphasis on study skills and conceptual understanding to strengthen the foundation of student success. The Ninth Edition also features a new design, enhancing the Aufmann Interactive Method and making the pages easier for both students and instructors to follow.

Available with InfoTrac® Student Collections http://gocengage.com/infotrac.

Meet the Authors

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Richard N. Aufmann

Richard Aufmann is the lead author of two best-selling DEVELOPMENTAL MATH series and a best-selling COLLEGE ALGEBRA AND TRIGONOMETRY series, as well as several derivative math texts. 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. He holds a Bachelor of Arts in Mathematics from the University of California, Irvine and a Master of Arts degree in Mathematics from California State University, Long Beach.

Joanne S. Lockwood

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.

What's New

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Apply the Concept boxes illustrate how an arithmetic operation is applied to a real-world situation so that students understand a context in which the operation is used.
Apply the Basic Concepts is a feature appears when a new application problem type is introduced. These examples illustrate the basic concepts of applications such as work problems and percent mixture problems. Students are then instructed to do specific exercises in the Concept Check exercises for that section.
Concept Check exercises promote conceptual understanding. Completing these exercises will deepen a student's understanding of the concepts being addressed and provide the foundation they need to successfully complete the remaining exercises in the exercise set.
Focus on Success appears at the start of each chapter. These are designed to help students make the most of the text and their time as they progress through the course and prepare for tests and exams.
Check Your Progress exercises appear approximately mid-chapter and test a student's understanding of the concepts presented thus far in the chapter.

Features

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INTRODUCTORY ALGEBRA is organized around a carefully constructed hierarchy of objectives. This objective-based approach provides an integrated learning environment that enables students to find resources such as assessment (both within the text and online), videos, tutorials, and additional exercises.
Prep Tests, at the beginning of each chapter, helps students determine which topics they may need to study more carefully, versus those they need only skim over to review. Answers provide a reference to the objective on which the exercise is based.
The Example/You Try It matched pairs are designed to actively involve students in learning the techniques presented. The You Try Its are based on the Examples. They are paired to easily refer students to the steps in the Examples as they work through the You Try Its.
How To examples provide solutions with detailed explanations for selected topics in each section.
Think About It exercises promote conceptual understanding. Completing these exercises will deepen students' understanding of the concepts being addressed.
The problem solving approach in the text emphasizes the importance of problem solving strategies. Model strategies are presented as guides to follow as students attempt the parallel You Try Its that accompany each numbered Example.
Working through the application exercises that contain real data will help prepare students to answer questions and/or solve problems based on their own experiences, using facts or information they gather.
At the end of each chapter, the Chapter Summary with Key Words and Essential Rules and Procedures includes an objective-level reference and a page reference to show where the concept was introduced, as well as an example of the summarized concept.

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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.