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More About This Textbook
Overview
Editorial Reviews
Booknews
Progresses from linear equations and polynomials through to quadratic equations and exponential functions. Bright colors and countless graphics will keep even noddingoff students up to speed. The new edition focuses on real world math problems and includes practice problems with solutions, application problems, and chapter summaries presented in chart form. Annotation c. by Book News, Inc., Portland, Or.Product Details
Read an Excerpt
To the Instructor
We share a partnership with you. For over thirty years we have taught mathematics courses at North Shore Community College. Each semester we join you in the daily task of sharing the knowledge of mathematics with students who often struggle with this subject. We enjoy teaching and helping students—and we are confident that you share these joys with us.
Mathematics instructors and students face many challenges today. Intermediate Algebra was written with these needs in mind. This textbook explains mathematics slowly, clearly, and in a way that is relevant to everyday life for the college student. As with previous editions, special attention has been given in the fourth edition to problem solving. This text is written to help students organize the information in any problemsolving situation, to reduce anxiety, and to provide a guide that enables students to become confident problem solvers.
One of the hallmark characteristics of Intermediate Algebra that makes the text easy to learn and teach from is the building block organization. Each section is written to stand on its own, and each homework set is completely selftesting. Exercises are paired and graded and are of varying levels and types to ensure that all skills and concepts are covered. As a result, the text offers students an effective and proven learning program suitable for a variety of course formats—including lecturebased classes; discussionoriented classes; distance learning centers; modular, selfpaced courses; mathematics laboratories; and computersupported centers.
Intermediate Algebra is part of a series that includes the following:
We have visited and listened to teachers across the country and have incorporated a number of their suggestions into this edition to help you with the particular learning delivery system at your school. The following pages describe the key continuing features and the key changes in the fourth edition.
Key Features and Changes in the Fourth Edition
Developing ProblemSolving Abilities
We are committed as authors to producing a textbook that emphasizes mathematical reasoning and problemsolving techniques as recommended by AMATYC, NCTM, AMS, NADE, MAA, and other groups. To this end, the exercise sets are built on a wealth of reallife and realdata applications. Unique exercises that help train students in data interpretation, mental mathematics, estimation, geometry and graphing, number sense, critical thinking, and decision making have been developed and incorporated into the exercise sets.
More Applied Exercises
The exercises and applications have been extensively revised. Numerous realworld and realdata application exercises show students the relevance of the math they are learning. The applications relate to everyday life, global issues beyond the borders of the United States, and other academic disciplines. Many include source citations. Nearly 50 percent of the applications are revised or new. The number of realdata applications has significantly increased. Many applications were contributed by actual students based on scenarios they encountered in their home or work lives.
Math in the Media
New Math in the Media applications appear at the end of each chapter to offer students yet another opportunity to see why developing mastery of mathematical concepts enhances their understanding of the world around them. The applications are based on information from familiar media sources. Students may interpret or verify information, perform calculations, make decisions or predictions, or provide a rationale for their responses.
Putting Your Skills to Work Applications
This highly successful feature has been revised in the fourth edition. There are eleven new Putting Your Skills to Work applications in the new edition. These nonroutine application exercises challenge students to synthesize the knowledge they have gained and apply it to a totally new area. Each exercise is specifically arranged for independent and cooperative learning or group investigation. Students are given the opportunity to help one another discover mathematical solutions to extended exercises. The investigations feature openended questions and extrapolation of data to areas beyond what is normally covered.
Internet Connections
As an integral part of each Putting Your Skills to Work exercise, students are exposed to an interesting application of the Internet and encouraged to continue their investigations. This use of technology inspires students' confidence in their abilities to successfully use mathematics. In the fourth edition, the Internet Connections have been completely revised and updated.
The companion Web site now features annotated links to help students navigate the sites more efficiently and to provide a more userfriendly experience.
Increased Integration and Emphasis on Geometry
Due to the emphasis on geometry in many statewide exams, geometry exercises are integrated throughout the text. The new edition contains approximately 20 percent more geometry exercises. Additionally, examples and exercises that incorporate a principle of geometry are now marked with a triangle icon for easy identification.
Developing Your Study Skills
This highly successful feature has been retained in the new edition. The boxed notes are integrated throughout the text to provide students with techniques for improving their study skills and succeeding in math courses.
Graphs, Charts, and Tables
When students find mathematics in realworld publications, they often see data represented in a graph, chart, or table and are asked to make a reasonable conclusion based on the data presented. This emphasis on graphical interpretation is a continuing trend with the expanding technology of our day. Therefore, the number of mathematical exercises based on charts, graphs, and tables has been significantly increased in this edition.
New Design
The fourth edition has a new design and art program that enhances the accessible, studentfriendly writing style. See the walkthrough of features in the preface.
Mastering Mathematical Concepts
Text features that develop the mastery of concepts include the following:
Learning Objectives
Concise learning objectives listed at the beginning of each section allow students to preview the goals of that section.
Examples and Exercises
The examples and exercises in this text have been carefully chosen to guide students through Intermediate Algebra. We have incorporated several different types of exercises and examples to assist your students in retaining the content of this course.
Chapter Pretests
Each chapter opens with a concise pretest to familiarize students with the learning objectives for that particular chapter. The exercises are keyed to the appropriate sections of the chapter. All answers appear in the back of the book.
Practice Problems
Practice Problems are found throughout the chapter after the examples and are designed to provide students with immediate practice of the skills presented in the examples. The complete workedout solution to each Practice Problem appears in the back of the book.
To Think About
These critical thinking questions follow some of the examples in the text and also appear in the exercise sets. They extend the concept being taught, providing the opportunity for students to stretch their minds, to look for patterns, and to make conclusions based on previous experience. The new edition includes approximately 30 percent more of these exercises.
Exercise Sets
Exercise sets are paired and graded. This design helps ease the students into the exercises, and the answers provide students with immediate feedback.
Cumulative Review Problems
Each exercise set concludes with a section of Cumulative Review Problems. These exercises review topics previously covered and are designed to assist students in retaining the material. Many additional applied exercises have been added to these sections.
Graphing and Scientific Calculator Exercises
Calculator boxes are placed in the margins of the text to alert students to a scientific or graphing calculator application. In the exercise sections, icons indicate exercises that are designed for solving with a graphing or scientific calculator.
Reviewing Mathematical Concepts
At the end of each chapter, we have included exercises and tests that provide students with several different formats to help them review and reinforce the ideas that they have learned. This not only assists the students with the present chapter but also reviews previously covered topics.
Chapter Organizers
The concepts and mathematical procedures covered in each chapter are reviewed at the end of the chapter in a unique Chapter Organizer. This device has been extremely popular with faculty and students alike. It not only lists concepts and methods but also provides a completely workedout example for each type of exercise. Students often find that preparing a similar chapter organizer on their own in higherlevel math courses becomes an invaluable way to master the content of a chapter of material.
Verbal and Writing Skills
These exercises provide students with the opportunity to extend a mathematical concept by allowing them to use their own words, to clarify their thinking, and to become familiar with mathematical terms.
Chapter Review Problems
These exercises serve as a quick refresher at the end of each chapter. They can also be used by the student as a quiz of the chapter material.
Tests
Found at the end of each chapter, the Chapter Test is a representative review of the material from that particular chapter and simulates an actual testing format.
Cumulative Tests
At the end of each chapter is a Cumulative Test. Onehalf of the content of each Cumulative Test is based on the math skills learned in previous chapters. By completing these tests, students build confidence that they have mastered the concepts of the present chapter as well as concepts from previous chapters.
Additional Content Changes in the Fourth Edition
In addition to the improvements listed previously, the new edition contains the following changes.
Expanded and Enhanced Supplements Resource Package
The fourth edition is supported by a wealth of new supplements designed for added effectiveness and efficiency. New items include: MathPro 4.0 Explorer tutorial software; MathPro 5—the new online version of the popular tutorial program—providing online access anytime and anywhere with assessment and enhanced course management; TestGenEQ with QuizmasterEQ; allnew lecture videos; lecture videos digitized on CDROM; Prentice Hall Tutor Center; and options for online and distance learning courses. Please see the list of supplements for their descriptions.
Options for Online and Distance Learning
For maximum convenience, Prentice Hall offers online interactivity and delivery options for a variety of distance learning needs.
Companion Web Site
The companion Web site includes basic distance learning access to links to the text's Internet Connections activities. For the fourth edition, the Internet Connections activities have been completely revised and updated. The Web site now features annotated links to facilitate student navigation of the sites associated with the exercises.
This textspecific site offers students online selfquizzes. Questions are graded, and students can email their results to the instructor. Syllabus Manager gives professors the option of creating their own online custom syllabus. Visit the Web site to learn more.
WebCT
WebCT includes distance learning access to content found in the Tobey/Slater companion Web site and more. WebCT provides tools to create, manage, and use online course materials. Contact your local Prentice Hall sales representative for details.
BlackBoard
BlackBoard includes distance learning access to content and features from the Tobey/Slater companion Web site and more. BlackBoard provides simple templates and tools to create, manage, and use online course materials. Instructors can take advantage of items such as online help, course management tools, communication tools, and access to instructor and student manuals. Contact your local Prentice Hall sales representative for details.
CourseCompass^{} Powered by BlackBoard
This program includes distance learning access to content and features from the Tobey/Slater companion Web site and more. Prentice Hall content is preloaded in a customized version of BlackBoard 5. CourseCompass^{} provides all BlackBoard 5's powerful course management tools to create, manage, and use online course materials. Contact your local Prentice Hall sales representative for details.
Supplements for the Instructor
Printed Resources
Annotated Instructor's Edition (<%ISBN%>0130328383)
Complete student text
Answers in place on the same text page as the exercises
Teaching Tips at key points where students historically need extra help
Answers to all exercises in pretests, review problems, tests, cumulative tests, diagnostic pretest, and practice final
Instructor's Solutions Manual (<%ISBN%>0130342041)
Detailed stepbystep solutions to the evennumbered exercises
Solutions to every exercise (odd and even) in the diagnostic pretest, pretests, review problems, tests, cumulative tests, and practice final
Solution methods that reflect those emphasized in the text
Instructor's Resource Manual with Tests (<%ISBN%>0130342033)
Nine test forms per chaptersix free response, three multiple choice. Two of the freeresponse tests are cumulative in nature.
Two forms of pretests per chapter
Eight forms of final examination
Twenty additional exercises per section
Answers to all tests and additional exercises
Media Resources
New TestGenEQ with QuizMasterEQ (Windows/Macintosh) (<%ISBN%>0130600237)
Algorithmically driven, textspecific testing program
Networkable for administering tests and capturing grades online
The builtin Question Editor allows you to edit or add your own questions to create a nearly unlimited number of tests and worksheets.
Use the Function Plotter to create graphs.
Sidebyside "Testbank" window and "Test" window show your test as you build it and as it will be printed.
Extensive symbol palettes and expression templates to assist in writing questions that include specialized tables and notation
QuizMasterEQ tests can be used for practice and graded tests. Instructors can set preferences to determine test availability, time limits, and number of tries. It provides detailed exam reports for individual students, classes, or the course.
New MathPro Explorer 4.0 Network Version for Windows/Macintosh (<%ISBN%>0130600105)
Enables instructors to create either customized or algorithmically generated practice tests from any section of a chapter or a test of random items
Includes an email function for network users, enabling instructors to send a message to a specific student or an entire group
Provides networkbased reports and summaries for a class or student and for cumulative or selected scores
New MathPro 5 Anytime. Anywhere. With Assessment.
The popular MathPro tutorial program available over the Internet
Online tutorial accessanytime and anywhere
Enhanced course management tools
Companion Web Site
Internet Connections activities have been completely revised and updated. Annotated finks facilitate student navigation.
Site provides online selfquizzes. Questions are graded, and students can email their results to the instructor.
Syllabus Manager gives professors the option of creating their own online custom syllabus. Visit the Web site to learn more.
Supplements for Students
Printed Resources
Student Solutions Manual (<%ISBN%>0130342017)
Solutions to all oddnumbered exercises
Solutions to every (odd and even) exercise found in pretests, chapter tests, reviews, and cumulative reviews
Solution methods that reflect those emphasized in the textbook
Ask your bookstore about ordering.
Media Resources
New MathPro Explorer 4.0 CDROM (Student version: 0130600229)
Keyed to each section of the text for textspecific tutorial exercises and instruction
Warmup exercises and graded Practice Problems
Video clips solve in detail an exercise similar to one being attempted.
Algorithmically generated exercises; includes bookmark, online help, glossary, and summary of scores for the exercises tried
Explorations enable students to explore concepts in more detail.
New MathPro 5 Anytime. Anywhere. With Assessment.
The popular MathPro, tutorial program available over the Internet
Online tutorial accessanytime and anywhere
New Lecture Videos (<%ISBN%>0130600180)
All new videotapes accompany the fourth edition.
Videos are keyed to each section of the text.
Key concepts are explained stepbystep.
New Digitized Lecture Videos on CDROM (<%ISBN%>0130600199)
The entire set of Intermediate Algebra, Fourth Edition lecture videotapes in digital form
Convenient access to video tutorial support from home or campus computer
Available shrinkwrapped with the text or standalone
New Prentice Hall Tutor Center
Staffed by qualified math instructors and open 5 days a week, 7 hours a day
Text specific tutoring provided via tollfree telephone, fax, or email.
The Prentice Hall Tutor Center is accessed through a registration number that may be bundled with a new textbook or purchased separately.
Companion Web Site
Internet Connections activities have been completely revised and updated.
Site provides an online study guide via selfquizzes. Questions are graded, and students can email their results to the instructor.
Additional Printed Material
Have your instructor contact the local Prentice Hall sales representative about the following resources.
How to Study Mathematics
Math on the Internet: A Student's Guide
Prentice Hall/New York Times, Theme of the Times Newspaper Supplement
To the Student
This book was written with your needs and interests in mind. The original manuscript and the first three editions of this book have been classtested with students all across the country. Based on the suggestions of many students, the book has been refined and improved to maximize your learning while using this text.
We realize that some students who enter college have never enjoyed math or done well in a math course. You may find that you are anxious about taking this course. We want you to know that this book has been written to help you overcome those difficulties. Literally thousands of students across the country have found an amazing ability to learn math in using previous editions of this book. We have incorporated several learning tools and various types of exercises and examples to assist you in learning this material.
It helps to know that learning mathematics is going to help you in life. Perhaps you have entered this course feeling that little or no mathematics will be necessary in your future job. However, elementary school teachers, bus drivers, laboratory technicians, nurses, telephone operators, cable TV repair personnel, photographers, pharmacists, salespeople, doctors, architects, inspectors, counselors, and custodians who once believed that they needed little if any mathematics are finding that the mathematical skills presented in this course can help them. Mathematics, you will find, can help you too. In this book, a great number of examples and exercises come from everyday life. You will be amazed at the number of ways mathematics is used in the world each day.
Our greatest wish is that you will find success and personal satisfaction in your mathematics course. We have written this book to help you accomplish that very goal.
Suggestions for Students
We encourage you to look over your textbook carefully. Many important features have been designed to make learning mathematics a more enjoyable activity. Some special features, unique to this textbook, are those that students throughout the country have told us that they found especially helpful.
Four Key Textbook features to Help You
Table of Contents
Preface
To the Instructor
We share a partnership with you. For over thirty years we have taught mathematics courses at North Shore Community College. Each semester we join you in the daily task of sharing the knowledge of mathematics with students who often struggle with this subject. We enjoy teaching and helping students—and we are confident that you share these joys with us.
Mathematics instructors and students face many challenges today. Intermediate Algebra was written with these needs in mind. This textbook explains mathematics slowly, clearly, and in a way that is relevant to everyday life for the college student. As with previous editions, special attention has been given in the fourth edition to problem solving. This text is written to help students organize the information in any problemsolving situation, to reduce anxiety, and to provide a guide that enables students to become confident problem solvers.
One of the hallmark characteristics of Intermediate Algebra that makes the text easy to learn and teach from is the building block organization. Each section is written to stand on its own, and each homework set is completely selftesting. Exercises are paired and graded and are of varying levels and types to ensure that all skills and concepts are covered. As a result, the text offers students an effective and proven learning program suitable for a variety of course formats—including lecturebased classes; discussionoriented classes; distance learning centers; modular, selfpaced courses; mathematics laboratories; and computersupported centers.
Intermediate Algebra is part of a series that includes the following:
We have visited and listened to teachers across the country and have incorporated a number of their suggestions into this edition to help you with the particular learning delivery system at your school. The following pages describe the key continuing features and the key changes in the fourth edition.
Key Features and Changes in the Fourth Edition
Developing ProblemSolving Abilities
We are committed as authors to producing a textbook that emphasizes mathematical reasoning and problemsolving techniques as recommended by AMATYC, NCTM, AMS, NADE, MAA, and other groups. To this end, the exercise sets are built on a wealth of reallife and realdata applications. Unique exercises that help train students in data interpretation, mental mathematics, estimation, geometry and graphing, number sense, critical thinking, and decision making have been developed and incorporated into the exercise sets.
More Applied Exercises
The exercises and applications have been extensively revised. Numerous realworld and realdata application exercises show students the relevance of the math they are learning. The applications relate to everyday life, global issues beyond the borders of the United States, and other academic disciplines. Many include source citations. Nearly 50 percent of the applications are revised or new. The number of realdata applications has significantly increased. Many applications were contributed by actual students based on scenarios they encountered in their home or work lives.
Math in the Media
New Math in the Media applications appear at the end of each chapter to offer students yet another opportunity to see why developing mastery of mathematical concepts enhances their understanding of the world around them. The applications are based on information from familiar media sources. Students may interpret or verify information, perform calculations, make decisions or predictions, or provide a rationale for their responses.
Putting Your Skills to Work Applications
This highly successful feature has been revised in the fourth edition. There are eleven new Putting Your Skills to Work applications in the new edition. These nonroutine application exercises challenge students to synthesize the knowledge they have gained and apply it to a totally new area. Each exercise is specifically arranged for independent and cooperative learning or group investigation. Students are given the opportunity to help one another discover mathematical solutions to extended exercises. The investigations feature openended questions and extrapolation of data to areas beyond what is normally covered.
Internet Connections
As an integral part of each Putting Your Skills to Work exercise, students are exposed to an interesting application of the Internet and encouraged to continue their investigations. This use of technology inspires students' confidence in their abilities to successfully use mathematics. In the fourth edition, the Internet Connections have been completely revised and updated.
The companion Web site now features annotated links to help students navigate the sites more efficiently and to provide a more userfriendly experience.
Increased Integration and Emphasis on Geometry
Due to the emphasis on geometry in many statewide exams, geometry exercises are integrated throughout the text. The new edition contains approximately 20 percent more geometry exercises. Additionally, examples and exercises that incorporate a principle of geometry are now marked with a triangle icon for easy identification.
Developing Your Study Skills
This highly successful feature has been retained in the new edition. The boxed notes are integrated throughout the text to provide students with techniques for improving their study skills and succeeding in math courses.
Graphs, Charts, and Tables
When students find mathematics in realworld publications, they often see data represented in a graph, chart, or table and are asked to make a reasonable conclusion based on the data presented. This emphasis on graphical interpretation is a continuing trend with the expanding technology of our day. Therefore, the number of mathematical exercises based on charts, graphs, and tables has been significantly increased in this edition.
New Design
The fourth edition has a new design and art program that enhances the accessible, studentfriendly writing style. See the walkthrough of features in the preface.
Mastering Mathematical Concepts
Text features that develop the mastery of concepts include the following:
Learning Objectives
Concise learning objectives listed at the beginning of each section allow students to preview the goals of that section.
Examples and Exercises
The examples and exercises in this text have been carefully chosen to guide students through Intermediate Algebra. We have incorporated several different types of exercises and examples to assist your students in retaining the content of this course.
Chapter Pretests
Each chapter opens with a concise pretest to familiarize students with the learning objectives for that particular chapter. The exercises are keyed to the appropriate sections of the chapter. All answers appear in the back of the book.
Practice Problems
Practice Problems are found throughout the chapter after the examples and are designed to provide students with immediate practice of the skills presented in the examples. The complete workedout solution to each Practice Problem appears in the back of the book.
To Think About
These critical thinking questions follow some of the examples in the text and also appear in the exercise sets. They extend the concept being taught, providing the opportunity for students to stretch their minds, to look for patterns, and to make conclusions based on previous experience. The new edition includes approximately 30 percent more of these exercises.
Exercise Sets
Exercise sets are paired and graded. This design helps ease the students into the exercises, and the answers provide students with immediate feedback.
Cumulative Review Problems
Each exercise set concludes with a section of Cumulative Review Problems. These exercises review topics previously covered and are designed to assist students in retaining the material. Many additional applied exercises have been added to these sections.
Graphing and Scientific Calculator Exercises
Calculator boxes are placed in the margins of the text to alert students to a scientific or graphing calculator application. In the exercise sections, icons indicate exercises that are designed for solving with a graphing or scientific calculator.
Reviewing Mathematical Concepts
At the end of each chapter, we have included exercises and tests that provide students with several different formats to help them review and reinforce the ideas that they have learned. This not only assists the students with the present chapter but also reviews previously covered topics.
Chapter Organizers
The concepts and mathematical procedures covered in each chapter are reviewed at the end of the chapter in a unique Chapter Organizer. This device has been extremely popular with faculty and students alike. It not only lists concepts and methods but also provides a completely workedout example for each type of exercise. Students often find that preparing a similar chapter organizer on their own in higherlevel math courses becomes an invaluable way to master the content of a chapter of material.
Verbal and Writing Skills
These exercises provide students with the opportunity to extend a mathematical concept by allowing them to use their own words, to clarify their thinking, and to become familiar with mathematical terms.
Chapter Review Problems
These exercises serve as a quick refresher at the end of each chapter. They can also be used by the student as a quiz of the chapter material.
Tests
Found at the end of each chapter, the Chapter Test is a representative review of the material from that particular chapter and simulates an actual testing format.
Cumulative Tests
At the end of each chapter is a Cumulative Test. Onehalf of the content of each Cumulative Test is based on the math skills learned in previous chapters. By completing these tests, students build confidence that they have mastered the concepts of the present chapter as well as concepts from previous chapters.
Additional Content Changes in the Fourth Edition
In addition to the improvements listed previously, the new edition contains the following changes.
Expanded and Enhanced Supplements Resource Package
The fourth edition is supported by a wealth of new supplements designed for added effectiveness and efficiency. New items include: MathPro 4.0 Explorer tutorial software; MathPro 5—the new online version of the popular tutorial program—providing online access anytime and anywhere with assessment and enhanced course management; TestGenEQ with QuizmasterEQ; allnew lecture videos; lecture videos digitized on CDROM; Prentice Hall Tutor Center; and options for online and distance learning courses. Please see the list of supplements for their descriptions.
Options for Online and Distance Learning
For maximum convenience, Prentice Hall offers online interactivity and delivery options for a variety of distance learning needs.
Companion Web Site
The companion Web site includes basic distance learning access to links to the text's Internet Connections activities. For the fourth edition, the Internet Connections activities have been completely revised and updated. The Web site now features annotated links to facilitate student navigation of the sites associated with the exercises.
This textspecific site offers students online selfquizzes. Questions are graded, and students can email their results to the instructor. Syllabus Manager gives professors the option of creating their own online custom syllabus. Visit the Web site to learn more.
WebCT
WebCT includes distance learning access to content found in the Tobey/Slater companion Web site and more. WebCT provides tools to create, manage, and use online course materials. Contact your local Prentice Hall sales representative for details.
BlackBoard
BlackBoard includes distance learning access to content and features from the Tobey/Slater companion Web site and more. BlackBoard provides simple templates and tools to create, manage, and use online course materials. Instructors can take advantage of items such as online help, course management tools, communication tools, and access to instructor and student manuals. Contact your local Prentice Hall sales representative for details.
CourseCompass^{} Powered by BlackBoard
This program includes distance learning access to content and features from the Tobey/Slater companion Web site and more. Prentice Hall content is preloaded in a customized version of BlackBoard 5. CourseCompass^{} provides all BlackBoard 5's powerful course management tools to create, manage, and use online course materials. Contact your local Prentice Hall sales representative for details.
Supplements for the Instructor
Printed Resources
Annotated Instructor's Edition (ISBN: 0130328383)
Complete student text
Answers in place on the same text page as the exercises
Teaching Tips at key points where students historically need extra help
Answers to all exercises in pretests, review problems, tests, cumulative tests, diagnostic pretest, and practice final
Instructor's Solutions Manual (ISBN: 0130342041)
Detailed stepbystep solutions to the evennumbered exercises
Solutions to every exercise (odd and even) in the diagnostic pretest, pretests, review problems, tests, cumulative tests, and practice final
Solution methods that reflect those emphasized in the text
Instructor's Resource Manual with Tests (ISBN: 0130342033)
Nine test forms per chaptersix free response, three multiple choice. Two of the freeresponse tests are cumulative in nature.
Two forms of pretests per chapter
Eight forms of final examination
Twenty additional exercises per section
Answers to all tests and additional exercises
Media Resources
New TestGenEQ with QuizMasterEQ (Windows/Macintosh) (ISBN: 0130600237)
Algorithmically driven, textspecific testing program
Networkable for administering tests and capturing grades online
The builtin Question Editor allows you to edit or add your own questions to create a nearly unlimited number of tests and worksheets.
Use the Function Plotter to create graphs.
Sidebyside "Testbank" window and "Test" window show your test as you build it and as it will be printed.
Extensive symbol palettes and expression templates to assist in writing questions that include specialized tables and notation
QuizMasterEQ tests can be used for practice and graded tests. Instructors can set preferences to determine test availability, time limits, and number of tries. It provides detailed exam reports for individual students, classes, or the course.
New MathPro Explorer 4.0 Network Version for Windows/Macintosh (ISBN: 0130600105)
Enables instructors to create either customized or algorithmically generated practice tests from any section of a chapter or a test of random items
Includes an email function for network users, enabling instructors to send a message to a specific student or an entire group
Provides networkbased reports and summaries for a class or student and for cumulative or selected scores
New MathPro 5 Anytime. Anywhere. With Assessment.
The popular MathPro tutorial program available over the Internet
Online tutorial accessanytime and anywhere
Enhanced course management tools
Companion Web Site
Internet Connections activities have been completely revised and updated. Annotated finks facilitate student navigation.
Site provides online selfquizzes. Questions are graded, and students can email their results to the instructor.
Syllabus Manager gives professors the option of creating their own online custom syllabus. Visit the Web site to learn more.
Supplements for Students
Printed Resources
Student Solutions Manual (ISBN: 0130342017)
Solutions to all oddnumbered exercises
Solutions to every (odd and even) exercise found in pretests, chapter tests, reviews, and cumulative reviews
Solution methods that reflect those emphasized in the textbook
Ask your bookstore about ordering.
Media Resources
New MathPro Explorer 4.0 CDROM (Student version: 0130600229)
Keyed to each section of the text for textspecific tutorial exercises and instruction
Warmup exercises and graded Practice Problems
Video clips solve in detail an exercise similar to one being attempted.
Algorithmically generated exercises; includes bookmark, online help, glossary, and summary of scores for the exercises tried
Explorations enable students to explore concepts in more detail.
New MathPro 5 Anytime. Anywhere. With Assessment.
The popular MathPro, tutorial program available over the Internet
Online tutorial accessanytime and anywhere
New Lecture Videos (ISBN: 0130600180)
All new videotapes accompany the fourth edition.
Videos are keyed to each section of the text.
Key concepts are explained stepbystep.
New Digitized Lecture Videos on CDROM (ISBN: 0130600199)
The entire set of Intermediate Algebra, Fourth Edition lecture videotapes in digital form
Convenient access to video tutorial support from home or campus computer
Available shrinkwrapped with the text or standalone
New Prentice Hall Tutor Center
Staffed by qualified math instructors and open 5 days a week, 7 hours a day
Text specific tutoring provided via tollfree telephone, fax, or email.
The Prentice Hall Tutor Center is accessed through a registration number that may be bundled with a new textbook or purchased separately.
Companion Web Site
Internet Connections activities have been completely revised and updated.
Site provides an online study guide via selfquizzes. Questions are graded, and students can email their results to the instructor.
Additional Printed Material
Have your instructor contact the local Prentice Hall sales representative about the following resources.
How to Study Mathematics
Math on the Internet: A Student's Guide
Prentice Hall/New York Times, Theme of the Times Newspaper Supplement
To the Student
This book was written with your needs and interests in mind. The original manuscript and the first three editions of this book have been classtested with students all across the country. Based on the suggestions of many students, the book has been refined and improved to maximize your learning while using this text.
We realize that some students who enter college have never enjoyed math or done well in a math course. You may find that you are anxious about taking this course. We want you to know that this book has been written to help you overcome those difficulties. Literally thousands of students across the country have found an amazing ability to learn math in using previous editions of this book. We have incorporated several learning tools and various types of exercises and examples to assist you in learning this material.
It helps to know that learning mathematics is going to help you in life. Perhaps you have entered this course feeling that little or no mathematics will be necessary in your future job. However, elementary school teachers, bus drivers, laboratory technicians, nurses, telephone operators, cable TV repair personnel, photographers, pharmacists, salespeople, doctors, architects, inspectors, counselors, and custodians who once believed that they needed little if any mathematics are finding that the mathematical skills presented in this course can help them. Mathematics, you will find, can help you too. In this book, a great number of examples and exercises come from everyday life. You will be amazed at the number of ways mathematics is used in the world each day.
Our greatest wish is that you will find success and personal satisfaction in your mathematics course. We have written this book to help you accomplish that very goal.
Suggestions for Students
We encourage you to look over your textbook carefully. Many important features have been designed to make learning mathematics a more enjoyable activity. Some special features, unique to this textbook, are those that students throughout the country have told us that they found especially helpful.
Four Key Textbook features to Help You
Introduction
To the Instructor
We share a partnership with you. For over thirty years we have taught mathematics courses at North Shore Community College. Each semester we join you in the daily task of sharing the knowledge of mathematics with students who often struggle with this subject. We enjoy teaching and helping students—and we are confident that you share these joys with us.
Mathematics instructors and students face many challenges today. Intermediate Algebra was written with these needs in mind. This textbook explains mathematics slowly, clearly, and in a way that is relevant to everyday life for the college student. As with previous editions, special attention has been given in the fourth edition to problem solving. This text is written to help students organize the information in any problemsolving situation, to reduce anxiety, and to provide a guide that enables students to become confident problem solvers.
One of the hallmark characteristics of Intermediate Algebra that makes the text easy to learn and teach from is the building block organization. Each section is written to stand on its own, and each homework set is completely selftesting. Exercises are paired and graded and are of varying levels and types to ensure that all skills and concepts are covered. As a result, the text offers students an effective and proven learning program suitable for a variety of course formats—including lecturebased classes; discussionoriented classes; distance learning centers; modular, selfpaced courses; mathematics laboratories; and computersupported centers.
Intermediate Algebra is part of a series that includes thefollowing:
We have visited and listened to teachers across the country and have incorporated a number of their suggestions into this edition to help you with the particular learning delivery system at your school. The following pages describe the key continuing features and the key changes in the fourth edition.
Key Features and Changes in the Fourth Edition
Developing ProblemSolving Abilities
We are committed as authors to producing a textbook that emphasizes mathematical reasoning and problemsolving techniques as recommended by AMATYC, NCTM, AMS, NADE, MAA, and other groups. To this end, the exercise sets are built on a wealth of reallife and realdata applications. Unique exercises that help train students in data interpretation, mental mathematics, estimation, geometry and graphing, number sense, critical thinking, and decision making have been developed and incorporated into the exercise sets.
More Applied Exercises
The exercises and applications have been extensively revised. Numerous realworld and realdata application exercises show students the relevance of the math they are learning. The applications relate to everyday life, global issues beyond the borders of the United States, and other academic disciplines. Many include source citations. Nearly 50 percent of the applications are revised or new. The number of realdata applications has significantly increased. Many applications were contributed by actual students based on scenarios they encountered in their home or work lives.
Math in the Media
New Math in the Media applications appear at the end of each chapter to offer students yet another opportunity to see why developing mastery of mathematical concepts enhances their understanding of the world around them. The applications are based on information from familiar media sources. Students may interpret or verify information, perform calculations, make decisions or predictions, or provide a rationale for their responses.
Putting Your Skills to Work Applications
This highly successful feature has been revised in the fourth edition. There are eleven new Putting Your Skills to Work applications in the new edition. These nonroutine application exercises challenge students to synthesize the knowledge they have gained and apply it to a totally new area. Each exercise is specifically arranged for independent and cooperative learning or group investigation. Students are given the opportunity to help one another discover mathematical solutions to extended exercises. The investigations feature openended questions and extrapolation of data to areas beyond what is normally covered.
Internet Connections
As an integral part of each Putting Your Skills to Work exercise, students are exposed to an interesting application of the Internet and encouraged to continue their investigations. This use of technology inspires students' confidence in their abilities to successfully use mathematics. In the fourth edition, the Internet Connections have been completely revised and updated.
Developing Your Study Skills
This highly successful feature has been retained in the new edition. The boxed notes are integrated throughout the text to provide students with techniques for improving their study skills and succeeding in math courses.
Graphs, Charts, and Tables
When students find mathematics in realworld publications, they often see data represented in a graph, chart, or table and are asked to make a reasonable conclusion based on the data presented. This emphasis on graphical interpretation is a continuing trend with the expanding technology of our day. Therefore, the number of mathematical exercises based on charts, graphs, and tables has been significantly increased in this edition.
New Design
The fourth edition has a new design and art program that enhances the accessible, studentfriendly writing style. See the walkthrough of features in the preface.
Mastering Mathematical Concepts
Text features that develop the mastery of concepts include the following:
Learning Objectives
Concise learning objectives listed at the beginning of each section allow students to preview the goals of that section.
Examples and Exercises
The examples and exercises in this text have been carefully chosen to guide students through Intermediate Algebra. We have incorporated several different types of exercises and examples to assist your students in retaining the content of this course.
Chapter Pretests
Each chapter opens with a concise pretest to familiarize students with the learning objectives for that particular chapter. The exercises are keyed to the appropriate sections of the chapter. All answers appear in the back of the book.
Practice Problems
Practice Problems are found throughout the chapter after the examples and are designed to provide students with immediate practice of the skills presented in the examples. The complete workedout solution to each Practice Problem appears in the back of the book.
To Think About
These critical thinking questions follow some of the examples in the text and also appear in the exercise sets. They extend the concept being taught, providing the opportunity for students to stretch their minds, to look for patterns, and to make conclusions based on previous experience. The new edition includes approximately 30 percent more of these exercises.
Exercise Sets
Exercise sets are paired and graded. This design helps ease the students into the exercises, and the answers provide students with immediate feedback.
Cumulative Review Problems
Each exercise set concludes with a section of Cumulative Review Problems. These exercises review topics previously covered and are designed to assist students in retaining the material. Many additional applied exercises have been added to these sections.
Graphing and Scientific Calculator Exercises
Calculator boxes are placed in the margins of the text to alert students to a scientific or graphing calculator application. In the exercise sections, icons indicate exercises that are designed for solving with a graphing or scientific calculator.
Reviewing Mathematical Concepts
At the end of each chapter, we have included exercises and tests that provide students with several different formats to help them review and reinforce the ideas that they have learned. This not only assists the students with the present chapter but also reviews previously covered topics.
Chapter Organizers
The concepts and mathematical procedures covered in each chapter are reviewed at the end of the chapter in a unique Chapter Organizer. This device has been extremely popular with faculty and students alike. It not only lists concepts and methods but also provides a completely workedout example for each type of exercise. Students often find that preparing a similar chapter organizer on their own in higherlevel math courses becomes an invaluable way to master the content of a chapter of material.
Verbal and Writing Skills
These exercises provide students with the opportunity to extend a mathematical concept by allowing them to use their own words, to clarify their thinking, and to become familiar with mathematical terms.
Chapter Review Problems
These exercises serve as a quick refresher at the end of each chapter. They can also be used by the student as a quiz of the chapter material.
Tests
Found at the end of each chapter, the Chapter Test is a representative review of the material from that particular chapter and simulates an actual testing format.
Cumulative Tests
At the end of each chapter is a Cumulative Test. Onehalf of the content of each Cumulative Test is based on the math skills learned in previous chapters. By completing these tests, students build confidence that they have mastered the concepts of the present chapter as well as concepts from previous chapters.
Additional Content Changes in the Fourth Edition
In addition to the improvements listed previously, the new edition contains the following changes.
Expanded and Enhanced Supplements Resource Package
The fourth edition is supported by a wealth of new supplements designed for added effectiveness and efficiency. New items include: MathPro 4.0 Explorer tutorial software; MathPro 5—the new online version of the popular tutorial program—providing online access anytime and anywhere with assessment and enhanced course management; TestGenEQ with QuizmasterEQ; allnew lecture videos; lecture videos digitized on CDROM; Prentice Hall Tutor Center; and options for online and distance learning courses. Please see the list of supplements for their descriptions.