McGraw-Hill OnlineMcGraw-Hill Higher EducationLearning Center
Student Center | Instructor Center | Information Center | Home
Sample Chapter
Overview
Table of Contents
About the Author
Book Preface
Feature Summary
Print Supplements
Digital Supplements
Contact The Team
Chapter 2 Demo
PageOut
Feedback
Help Center


Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University


Book Preface


Elementary and Intermediate Algebra is designed to provide students with the algebra background needed for further college-level mathematics courses. This text combines the gentle pace of elementary algebra with the broad coverage of topics in intermediate algebra, eliminating topic overlap. The extent and sequence of the topics make this text suitable for a wide variety of courses of various lengths. The features, design, and pedagogy are the same as in the successful third editions of my Elementary Algebra and Intermediate Algebra.

Content

The unifying theme of this text is the development of algebraic skills and concepts, followed by the application of those skills and concepts to problem solving. Numerous real world examples and exercises make the topics contemporary and interesting. Reading and understanding graphs is stressed in the examples and exercises of the text. Particular care has been given to achieving an appropriate balance of exercises that progressively increase in difficulty within each exercise set. Fractions and decimals are used in the exercises and throughout the text discussions to help reinforce the basic arithmetic skills needed for success in algebra. Geometric concepts and applications are also integrated throughout the book.

Features

Please see the walkthrough preface, beginning on page xvii, for additional information about some of the features described below.
  • Each chapter begins with introductory text that discusses a real application of algebra.
  • The Chapter Opener is accompanied by a photograph and, in most cases, by a real-data application graph that helps students visualize algebra and more fully understand the concepts discussed in the chapter. In addition, each chapter contains a Math at Work feature (example on page 16), which profiles a real person and the mathematics that he or she uses on the job. These two features have corresponding real-data exercises.
  • The text emphasizes real-data applications that involve graphs. Applications are distributed throughout the text to help demonstrate concepts, to motivate students, and to give students practice using new skills. Many of the real-data exercises involve data obtained from the Internet. (See Exercise 125 on page 36.) Internet addresses are provided in the textbook and the Online Learning Center (as hyperlinks) as a resource for both students and teachers. An Index of Applications, which lists applications by subject matter, is included at the front of the text.
  • Every section begins with In This Section, a list of topics that shows the student what will be covered. Since the topics correspond to the headings within each section, students will find it easy to locate and study specific concepts.
  • Strategy Boxes help students understand the step-by-step process of problem solving. These boxes provide a numbered list of concepts from a section or a set of steps to follow in problem solving.
  • Important ideas, such as definitions, rules, summaries, and strategies, are set apart in boxes for quick reference. Color is used to highlight these boxes as well as other important points in the text.
  • Three margin features appear throughout the text:
    1. Calculator CloseUps give students an idea of how to use a graphing calculator and for what kinds of problems it should be used. The screens in this feature are done with a TI-83 and are not intended to replace the calculator manual (especially if students use a different make or model). Some Calculator CloseUps simply introduce the features of a graphing calculator, but many are intended to enhance understanding of algebraic concepts. For this reason, many of the Calculator CloseUps will benefit even those students who do not use a graphing calculator. A graphing calculator is not required for studying from this text.
    2. Study Tips are included in the margins throughout the text. These short tips are meant to continually reinforce good study habits and to remind students that it is never too late to make improvements in the manner in which they study.
    3. Helpful Hints are short comments that enhance the material in the text, provide another way of approaching a problem, or clear up misconceptions.
  • At the end of every section are Warm-up exercises, a set of ten simple statements that are to be answered true or false. These exercises are designed to provide a smooth transition between the ideas and the exercise sets. They help students understand that statements in mathematics are either true or false. They are also good for discussion, review, or group work.
  • The exercise sets in each section generally begin with six simple writing exercises. These exercises are designed to encourage students to review the definitions and rules of the section before doing more traditional exercises. For example, the student might simply be asked what properties of equality were discussed in this section.
  • The end-of-section Exercises follow the same order as the textual material and contain exercises that are keyed to examples, as well as numerous exercises that are not keyed to examples. This organization allows the instructor to cover only part of a section if necessary and easily determine which exercises are appropriate to assign. The keyed exercises give the student a place to start practicing and building confidence, whereas the nonkeyed exercises are designed to wean the student from following examples in a "cookbook" manner. Getting More Involved exercises are designed to encourage writing, discussion, exploration, and cooperative learning. Graphing Calculator Exercises require a graphing calculator and are identified with a graphing calculator logo. Exercises for which a scientific calculator would be helpful are identified with a scientific calculator logo.
  • At the end of each chapter are Collaborative Activities designed to encourage interaction and learning in groups. Instructions and suggestions for using these activities and answers to all problems can be found in the Instructor's Solutions Manual.
  • Every chapter ends with a four-part Wrapup, which includes the following:
    1. The Chapter Summary lists important concepts along with brief illustrative examples.
    2. Enriching Your Mathematical Word Power consists of multiple choice questions in which the important terms are to be matched with their meanings. This feature emphasizes the importance of proper terminology.
    3. The Review Exercises contain problems that are keyed to the sections of the chapter as well as numerous miscellaneous exercises.
    4. The Chapter Test is designed to help the student assess his or her readiness for a test. The Chapter Test has no keyed exercises, so the student can work independently of the sections and examples.
  • The Making Connections cumulative review exercises at the end of each chapter are designed to help students review and synthesize the new material with ideas from previous chapters, and in some cases, review material necessary for success in the upcoming chapter. Every Making Connections exercise set includes at least one applied exercise that requires ideas from one or more of the previous chapters.
  • The Midtext Diagnostic Review after Chapter 7 can be used to assess a student's readiness for the second half of the text. These review exercises are keyed to specific worked examples in the first seven chapters.

Coverage

For instructors who desire later coverage of linear equations in two variables, Chapter 4, "Linear Equations in Two Variables and Their Graphs," can be postponed. For those who want early coverage of linear equations in two variables, Chapter 8, "Systems of Linear Equations," could be covered after Chapter 4. For instructors who want less coverage of functions, Section 4.6 can be omitted or postponed.

Supplements for the Instructor

ANNOTATED INSTRUCTOR'S EDITION

This ancillary includes answers to all exercises and tests. These answers are printed in a second color for ease of use by instructors and are located adjacent to corresponding exercises.

COMPUTERIZED TEST BANK AND PDF TEST FILE

The Computerized Test Bank allows you to create well-formatted quizzes or tests using a large bank of algorithmically-generated and static questions through an intuitive Windows or Macintosh interface. When creating a test, you can manually choose individual questions or have the software randomly select questions based on section, question type, difficulty level, and other criteria. Instructors also have the ability to add or edit test bank questions to create their own customized test bank. Preformatted chapter tests (three forms per chapter) and final exams (four forms), are also provided, in printable PDF format.

INSTRUCTOR'S SOLUTIONS MANUAL

Prepared by Mark Dugopolski, this supplement contains detailed solutions to all the exercises in the text. The methods used to solve the problems in the manual are the same as those used to solve examples in the textbook. Instructions and suggestions for using the Collaborative Activities featured in the text are also included in the Instructor's Solutions Manual.

ONLINE LEARNING CENTER

Webbased, interactive learning is available for your students on the Online Learning Center, located at www.mhhe.com/dugopolski. Student resources are located in the OLC's Student Center and include interactive applications, algorithmically-generated practice exams, online quizzing, audio/visual tutorials, all chapters of the text in PDF format, and web links. Instructor resources are located in the Instructor Center and include PowerPoint slides, an AMATYC standards correlation, and links to PageOut and author recommended sites. The Course Integration Guide is also located on the OLC. The password for the Instructor Center is located in the preface to the Instructor's Solutions Manual.

COURSE INTEGRATION GUIDE

This supplement, located on the OLC, integrates the multimedia and print supplements that accompany the main text into a useful and wellorganized guide. The Course Integration Guide includes helpful information about resources found in the text, video, CD-ROM, and Online Learning Center. The guide also contains a section-level correlation with the ELMC, CLAST, and TASP standards.

PAGEOUT

Need a course website? More than 50,000 professors have chosen PageOut to create a custom course website. Thier feedback is used to continually enhance PageOut.

New Features based on customer feedback:
  • Timed tests and the ability to author original questions
  • Ability to insert diacritical marks and html codes with the click of a button
  • Ability to choose a pre-built page design, or create a custom design

Short on time? Let us do the work.

Our McGraw-Hill service team is ready to build your PageOut website and provide any necessary training. Learn more about PageOut and other McGraw-Hill digital solutions at www.mhhe.com/solutions.

Supplements for the Student

STUDENT'S SOLUTIONS MANUAL

Prepared by Mark Dugopolski, the Student's Solutions Manual contains complete worked-out solutions to almost all of the problems in the Warmups, the Chapter Tests, and the Making Connections reviews and to the oddnumbered problems in the end-of-section Exercises and the Chapter Reviews.

DUGOPOLSKI VIDEO SERIES (VIDEOTAPES OR VIDEO CDS)

The video series is composed of 14 video cassettes, one per chapter. Onscreen instructors introduce topics and work through examples using the methods presented in the text. Students are encouraged to work examples on their own and check their results against those provided. The video series is also available on video CDs.

DUGOPOLSKI TUTORIAL CD-ROM

This interactive CD-ROM is a selfpaced tutorial specifically linked to the text that reinforces topics through unlimited opportunities to review concepts and practice problem solving. The CD-ROM provides section-specific tutorials, questions with feedback, and algorithmically-generated questions. This product requires virtually no computer training on the part of students and supports Windows and Macintosh computers.

In addition, a number of other technology and webbased ancillaries are under development; they will support the everchanging technology needs in developmental mathematics. For further information about these or other supplements, please contact your local McGraw-Hill sales representative.

ONLINE LEARNING CENTER

Student resources are located in the Student Center on the Online Learning Center and include interactive applications, algorithmically-generated practice exercises, online quizzing, audio/visual tutorials, all chapters of the text in PDF format, and links to useful and fun algebra websites. The OLC is located at www.mhhe.com/dugopolski, and a free password card is included with each new copy of this text.

NetTutorTM

NetTutorTM is a revolutionary system that enables students to interact with a live tutor over the World Wide Web. Students can receive instruction from live tutors using NetTutor's web-based, graphical chat capabilities. They can also submit questions and receive answers, browse previously answered questions, and view previous live chat sessions.

ALEKS®

(Assessment and LEarning in Knowledge Spaces) is an artificial intelligence based system for individualized math learning, available over the World Wide Web. ALEKS® delivers precise, qualitative diagnostic assessments of students' math knowledge, guides them in the selection of appropriate new study material, and records their progress toward mastery of curricular goals in a robust classroom management system. It interacts with the student much as a skilled human tutor would, moving between explanation and practice as needed, correcting and analyzing errors, defining terms, and changing topics on request. By sophisticated modeling of a student's "knowledge state" for a given subject matter, ALEKS® can focus clearly on what the student is most ready to learn next, building a learning momentum that fuels success.

To learn more about ALEKS®, including purchasing information, visit the ALEKS® website at www.highed.ALEKS.com.

Acknowledgements

First I thank all of the students and professors who used Elementary Algebra, Intermediate Algebra, and Algebra for College Students. I sincerely appreciate the efforts of the reviewers of Elementary and Intermediate Algebra who made many helpful suggestions:

Susan Akers, Northeast State Technical Community College
Kathy Autrey, Northwestern State University
Walter Burlags, Lake City Community College
Marc Campbell, Daytona Beach Community College
Jo Cathey, Columbia State Community College-Columbia Campus
Dawn Dabney, Northeast State Technical Community College
Susan Davenport, Blinn College
Lenore DeSilets, De Anza College
Jacqueline Fesq, Raritan Valley Community College
Pat Foard, South Plains College
Judy Godwin, Collin County Community College
David Gorman, Yavapai College
Helen Harris, Blinn College
Margaret Hathaway, Kansas City Community College
Steven Howard
Matthew Hudock, St. Philip's College
Patricia Ann Hussy, Triton College
Patricia Jenkins, South Carolina State University
Bill Krant, El Paso Community College-Via Verde Campus
Anthony P. Malone, Raymond Walters College
Vince McGarry, Austin Community College
Leslie McGinnis, Blinn College
Barbara Napoli, Our Lady of the Lake College
Christopher O'Connor, Shawnee State University
Carol Olson, Northwest Arkansas Community College
Frank Pecchioni, Jefferson Community College
George Reed, Angelina College
Alan Sauter, Collin County Community College
James Smith, Columbia State Community College-Lawrenceburg Campus
Ann Thrower, Kilgore Community College
Danny Whited, Virginia Intermont College
Margorie Whitmore, Northwest Arkansas Community College
Jackie Wing, Angelina College
Mary Jane Wolfe, University of Rio Grande

I also thank Edgar Reyes of Southeastern Louisiana University for his work on the CD-ROM and Rebecca Muller of Southeastern Louisiana University for her work on the printed test bank. I thank the entire staff at McGraw-Hill for all of their help and encouragement during this project. Special thanks go to Bill Barter, David Dietz, and Bea Wikander. I also want to express my sincere appreciation to my wife, Cheryl, for her invaluable patience and support.

Hammond, LouisianaM.D.