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Intermediate Algebra / Edition 8 available in Hardcover, Paperback, Other Format

- ISBN-10:
- 0321061977
- ISBN-13:
- 9780321061973
- Pub. Date:
- 01/28/2000
- Publisher:
- Prentice Hall (School Division)

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## Overview

## ADVERTISEMENT

## Product Details

ISBN-13: | 9780321061973 |
---|---|

Publisher: | Prentice Hall (School Division) |

Publication date: | 01/28/2000 |

## Read an Excerpt

PREFACE:

## PREFACE

### ABOUT THIS BOOK

*Intermediate Algebra, Third Edition* was written to provide a **solid foundation in algebra** as well as to develop students' problem-solving skills. Specific care has been taken to ensure that students have the most **to-date and relevant** text preparation for their next mathematics course, as well as to help students succeed in nonmathematical courses that require a grasp of algebraic fundamentals. I have tried to achieve this by writing a user-friendly text that is keyed to objectives and contains many worked-out examples. The basic concepts of graphs and functions are introduced early, and problem solving techniques, real-life and real-data applications, data interpretation, appropriate use of technology, mental mathematics, number sense, critical thinking, decision-making, and geometric concepts are emphasized and integrated throughout the book.

The many factors that contributed to the success of the first two editions have been retained. In preparing this edition, I considered the comments and suggestions of colleagues throughout the country, students, and many users of the prior editions. The AMATYC Crossroads in Mathematics: Standards for Introductory College Mathematics before Calculus and the MAA and NCTM standards (plus Addenda), together with advances in technology, also influenced the writing of this text.

*Intermediate Algebra, Third Edition* is **part of a series of texts** that can include *Basic College Mathematics, Prealgebra, Third Edition,* and *Beginning Algebra, Third Edition.* Also available are *Beginning and Intermediate Algebra, SecondEdition,* a combined algebra text and *Intermediate Algebra: A Graphing Approach, Second Edition.* Throughout the series, pedagogical features are designed to develop student proficiency in algebra and problem solving, and to prepare students for future courses.

### KEY PEDAGOGICAL FEATURES 1N THE THIRD EDITION

**Readability and Connections:** I have tried to make the writing style as clear as possible while still retaining the mathematical integrity of the content. When a new topic is presented, an effort has been made to **relate the new ideas to those that students may already know.** Constant reinforcement and connections within problem solving strategies, data interpretation, geometry, patterns, graphs, and situations from everyday life can help students gradually master both new and old information.

**Problem Solving Process:** This is formally introduced in Chapter 2 with a **new four-step process that is integrated throughout the text.** The four steps are Understand, Translate, Solve, and Interpret. The repeated use of these steps throughout the text in a variety of examples shows their wide applicability. Reinforcing the steps can increase students' confidence in beginning problems.

**Applications and Connections:** Every effort was made to include as many accessible, interesting and relevant real-life applications as possible throughout the text in both worked-out examples and exercise sets. The applications **strengthen students' understanding of mathematics in the real world** and help to motivate students. They show connections to a wide range of fields including agriculture, allied health, art, astronomy, automotive ownership, aviation, biology, business, chemistry, communication, computer technology, construction, consumer affairs, demographics, earth science, education, entertainment, environmental issues, finance and economics, food service, geography, government, history, hobbies, labor and career issues, life science, medicine, music, nutrition, physics, political science, population, recreation, sports, technology, transportation, travel, weather, and important related mathematical areas such as geometry and statistics. (See the Index of Applications on page xxi.) Many of the applications are based on **recent and interesting real-life data.** For instance, see Section 4.3, exercise 44 , Section 5.3 exercise 85, or Section 6.4, exercise 58 for a variety of ways real data is used. Sources for data include newspapers, magazines, government publications, publicly held companies, special interest groups, research organizations, and reference books. Opportunities for obtaining your own real data with and without using the internet are also included.

**Helpful Hints:** Helpful Hints, formerly Reminders, contain practical advice on applying mathematical concepts. These are found throughout the text and **strategically placed** where students are most likely to need immediate reinforcement. They are highlighted in a box for quick reference and, as appropriate, an indicator line is used to precisely identify the particular part of a problem or concept being discussed. For instance, see pages 88 and 293.

**Visual Reinforcement of Concepts:** The text contains numerous graphics, models, and illustrations to visually clarify and reinforce concepts. These include **new and updated** bar graphs and circle graphs in two and three dimensions, line graphs, calculator screens, application illustrations, photographs, and geometric figures. There are now **approximately 1,000 figures.**

**Real World Chapter Openers:** The new two-page chapter opener focuses on how math is used in a specific career, provides links to the World Wide Web, and references a "Spotlight on Decision Making" feature within the chapter for further exploration of the **career and the relevance of algebra.** For example, look at the opener for Chapter 3. The opening pages also contain a list of section titles, and an introduction to the mathematics to be studied together with mathematical connections to previous chapters in the text.

**Student Resource Icons:** At the beginning of each section, videotape, tutorial software CD Rom, Student Solutions Manual, and Study Guide icons are displayed. These icons help remind students that these learning aids are available should they choose to use them to review concepts and skills at their own pace. These items have **direct correlation to the text** and emphasize the text's methods of solution.

**Chapter Highlights:** Found at the end of each chapter, the Chapter Highlights contain key definitions, concepts, *and* examples to **help students understand and retain what they have learned.**

**Chapter Project:** This feature occurs at the end of each chapter, often serving as a chapter wrap-up. For **individual or group completion,** the multi-part Chapter Project, usually hands-on or data based, allows students to problem solve, make interpretations, and to think and write about algebra.

In addition, a reference to alternative or additional Real World Activities is given. This **internet option** invites students to find and retrieve real data for use in solving problems." Visit the Real World Activities Website by going to www.prenhall.com/martin-gay.

**Functional Use of Color and New Design:** Elements of this text are highlighted with color or design to make it easier for students to read and study. Special care has been taken to use color within solutions to examples or in the art to **help clarify, distinguish, or connect concepts.** For example, look at page 261 in Section 5.3.

### EXERCISE SETS

Each text section ends with an exercise set, usually divided into two parts. Both parts contain graded exercises. The **first part is carefully keyed** to at least one worked example in the text. Once a student has gained confidence in a skill, the **second part contains exercises not keyed to examples.** Exercises and examples marked with a video icon have been worked out step-by-step by the author in the videos that accompany this text.

Throughout the text exercises there is an emphasis on **data and graphical interpretation** via tables, charts, and graphs. The ability to interpret data and read and create a variety of types of graphs is developed gradually so students become comfortable with it. Similarly, throughout the text there is integration of **geometric concepts,** such as perimeter and area. Exercises and examples marked with a geometry icon (o) have been identified for convenience.

Each exercise set contains one or more of the following features.

**Spotlight on Decision Making:** These unique **new, specially designed applications** help students develop their decision-making and problem solving abilities, skills useful in mathematics and in life. Appropriately placed before an exercise set begins, students have an opportunity to immediately practice and reinforce basic algebraic concepts found in the accompanying section in relevant, accessible contexts. There is an emphasis on workplace or job-related career situations (such as the decisions of a Meteorologist in Section 3.1, a phychologist in Section 7.6, or a Webmaster in Section 10.4) as well as decision-making in general (such as choosing a long-distance telephone plan in Section 4.3 or choosing an online service in Section 5.4 or deciding between two job offers in Section 11.1).

**Mental Mathematics:** These problems are found at the beginning of many exercise sets. They are mental warm-ups that **reinforce concepts** found in the accompanying section and increase students' confidence before they tackle an exercise set. By relying on their own mental skills, students increase not only their confidence in themselves, but also their number sense and estimation ability.

**Writing Exercises:** These exercises now found in almost every exercise set are marked with the pencil icon. They require students to **assimilate information** and provide a written response to explain concepts or justify their thinking. Guidelines recommended by the American Mathematical Association of Two Year Colleges (AMATYC) and other professional groups recommend incorporating writing in mathematics courses to reinforce concepts. Writing opportunities also occur within features such as Spotlight on Decision Making and Chapter Projects.

**Data and Graphical Interpretation:** Throughout the text there is an emphasis on data interpretation in exercises via tables, bar charts, line graphs, or circle graphs. The ability to interpret data and read and create a variety of graphs is **developed gradually** so students become comfortable with it.

**Calculator Explorations and Exercises:** These optional explorations offer guided instruction, through examples and exercises, on the proper use of **scientific and graphing calculators or computer graphing utilities as tools in the mathematical problem-solving process.** Placed appropriately throughout the text, these explorations reinforce concepts or motivate discovery learning.

Additional exercises building on the skills developed in the Explorations may be found in exercise sets throughout the text, and are marked with the icon for scientific calculator use or with the icon for graphing calculator use.

**Review Exercises:** These exercises occur in each exercise set (except for those in Chapter 1). These problems are **keyed to earlier sections** and review concepts learned earlier in the text that are needed in the next section or in the next chapter. These exercises show the **links between earlier topics and later material.**

**A Look Ahead:** These exercises occur at the end of some exercise sets. This section contains examples and problems similar to those found in a subsequent algebra course. "A Look Ahead" is presented as a **natural extension of the material** and contains an example followed by advanced exercises.

In addition to the approximately 5,000 exercises within sections, exercises may also be found in the Vocabulary Checks, Chapter Reviews, Chapter Tests, and Cumulative Reviews.

**Vocabulary Checks:** Vocabulary checks, **new to this edition,** provide an opportunity for students to become more familiar with the use of mathematical terms as they strengthen their verbal skills.

**Chapter Review and Chapter Test:** The end of each chapter contains a review of topics introduced in the chapter. The review problems are keyed to sections. The chapter test is not keyed to sections.

**Cumulative Review:** Each chapter after the first contains a **cumulative review of all chapters beginning with the first** up through the chapter at hand. Each problem contained in the cumulative review is actually an earlier worked example in the text that is referenced in the back of the book along with the answer. Students who need to see a complete worked-out solution, with explanation, can do so by turning to the appropriate example in the text.

### KEY CONTENT FEATURES IN THE THIRD EDITION

**Overview:** This new edition retains many of the factors that have contributed to its success. Even so, **every section of the text was carefully re-examined.** Throughout the new edition you will find numerous new applications, examples, and many real-life applications and exercises. For example, look at Sections 1.1, 3.4, or 8.2. Some sections have internal re-organization to better clarify and enhance the presentation.

**Increased Integration of Geometry Concepts:** In addition to the traditional topics in beginning algebra courses, this text contains a strong emphasis on problem solving, and geometric concepts are integrated throughout. The geometry concepts presented are those most important to a students' understanding of algebra, and I have included **many applications and exercises** devoted to this topic. These are marked with the delta icon. Also, geometric figures, a review of angles, lines, and special triangles, are covered in the appendices. The inside front cover provides a quick reference of geometric formulas.

**Real Numbers and Algebraic Expressions:** Chapter 1 now begins with Tips for Success in Mathematics (Section 1.1). Chapter 1 has been streamlined and refreshed for **greater efficiency and relevance.** New applications and real data enhance the chapter.

**Early and Intuitive Introduction to Graphs and Functions:** As bar and line graphs are gradually introduced in Chapters 1 and 2, an emphasis is placed on the notion of paired data. This leads naturally to the concepts of ordered pair and the rectangular coordinate system introduced in Chapter 3. This edition offers more real data and conceptual type applications and further strengthens the introduction to slope.

Once students are comfortable with graphing equations, functions are introduced in Chapter 3.The concept of function is illustrated in numerous ways to ensure student understanding: by listing ordered pairs of data, showing rectangular coordinate system graphs, visually representing set correspondences, and including numerous real-data and conceptual examples. **The importance of a function is continuously reinforced** by not treating it as a single, stand-alone topic but by constantly integrating functions in appropriate sections of this text.

**Increased Attention to Problem Solving:** Building on the strengths of the prior editions, a special emphasis and strong commitment is given to contemporary, accessible, and practical applications of algebra. **Real data** was drawn from a variety of sources including internet sources, magazines, newspapers, government publications, and reference books. **Unique Spotlight on Decision Making exercises and a new four-step problem solving process are incorporated throughout** to focus on helping to build students problem-solving skills.

**Increased Opportunities for Using Technology:** Optional explorations for a calculator or graphing calculator (or graphing utility such as Texas Instruments Interactive), are integrated appropriately **throughout the text** in Calculator Explorations features and in exercises marked with a calculator icon. The Martin-Gay **Companion Website** includes links to internet sites to allow opportunities for finding data and using it for problem solving such as with the accompanying on-line Real World Activities. The Website also includes links to search potential mathematically related careers branching from the chapter openers. Instructors may also choose from a variety of **distance learning or on-line delivery options** including Blackboard or Web CT.

New Examples Detailed step-by-step examples were added, deleted, replaced, or updated as needed. Many of these reflect real life. Examples are used in two ways. Often there are numbered, formal examples, and occasionally an example or application is used to introduce a topic or informally discuss the topic.

**New Exercises:** A significant amount of time was spent on the exercise sets. New exercises and examples **help address a wide range of student learning styles and abilities.** The text now includes the following types of exercises: spotlight on decision making exercises, mental math, computational exercises, real-life applications, writing exercises, multi-part exercises, review exercises, a look ahead exercises, optional calculator or graphing calculator exercises, data analysis from tables and graphs, vocabulary checks, and projects for individual or group assignment. Also available are new on-line Real World Activities accessed via this textbook's companion website, and a selection of group activities in a worksheet ready, easy to use format, found in the Instructor's Resource Manual with Tests.

**Enhanced Supplements Package:** The new Third Edition is supported by a wealth of supplements designed for **added effectiveness and efficiency.** New items include the MathPro 4.0 Explorer tutorial software together with a unique video clip feature, a new computerized testing system TestGenEQ, and an expanded and improved MartinGay companion website. Some highlights in print materials include the addition of teaching tips in the Annotated Instructor's Edition, and an expanded Instructor's Resource Manual with Tests including additional exercises and short group activities in a ready-to use-format. Please see the list of supplements for descriptions.

### OPTIONS FOR ON-LINE AND DISTANCE LEARNING

For maximum convenience, Prentice Hall offers on-line interactivity and delivery options for a variety of distance learning needs. Instructors may access or adopt these in conjunction with this text, *Intermediate Algebra.*

*Companion Website*

Visit *...
*

*
*

## Table of Contents

R. Review of Elementary Algebra 1. More on Exponents and Polynomials 2. Equations in Two Variables 3. Additional Two-Variable Topics 4. Functions: An Introduction 5. Functions: Additional Topics 6. Rational Expressions and Rational Functions 7. Exponential and Logarithmic Functions A. Appendix## Preface

## PREFACE

### ABOUT THIS BOOK

*Intermediate Algebra, Third Edition* was written to provide a **solid foundation in algebra** as well as to develop students' problem-solving skills. Specific care has been taken to ensure that students have the most **to-date and relevant** text preparation for their next mathematics course, as well as to help students succeed in nonmathematical courses that require a grasp of algebraic fundamentals. I have tried to achieve this by writing a user-friendly text that is keyed to objectives and contains many worked-out examples. The basic concepts of graphs and functions are introduced early, and problem solving techniques, real-life and real-data applications, data interpretation, appropriate use of technology, mental mathematics, number sense, critical thinking, decision-making, and geometric concepts are emphasized and integrated throughout the book.

The many factors that contributed to the success of the first two editions have been retained. In preparing this edition, I considered the comments and suggestions of colleagues throughout the country, students, and many users of the prior editions. The AMATYC Crossroads in Mathematics: Standards for Introductory College Mathematics before Calculus and the MAA and NCTM standards (plus Addenda), together with advances in technology, also influenced the writing of this text.

*Intermediate Algebra, Third Edition* is **part of a series of texts** that can include *Basic College Mathematics, Prealgebra, Third Edition,* and *Beginning Algebra, Third Edition.* Also available are *Beginning and Intermediate Algebra, Second Edition,*a combined algebra text and *Intermediate Algebra: A Graphing Approach, Second Edition.* Throughout the series, pedagogical features are designed to develop student proficiency in algebra and problem solving, and to prepare students for future courses.

### KEY PEDAGOGICAL FEATURES 1N THE THIRD EDITION

**Readability and Connections:** I have tried to make the writing style as clear as possible while still retaining the mathematical integrity of the content. When a new topic is presented, an effort has been made to **relate the new ideas to those that students may already know.** Constant reinforcement and connections within problem solving strategies, data interpretation, geometry, patterns, graphs, and situations from everyday life can help students gradually master both new and old information.

**Problem Solving Process:** This is formally introduced in Chapter 2 with a **new four-step process that is integrated throughout the text.** The four steps are Understand, Translate, Solve, and Interpret. The repeated use of these steps throughout the text in a variety of examples shows their wide applicability. Reinforcing the steps can increase students' confidence in beginning problems.

**Applications and Connections:** Every effort was made to include as many accessible, interesting and relevant real-life applications as possible throughout the text in both worked-out examples and exercise sets. The applications **strengthen students' understanding of mathematics in the real world** and help to motivate students. They show connections to a wide range of fields including agriculture, allied health, art, astronomy, automotive ownership, aviation, biology, business, chemistry, communication, computer technology, construction, consumer affairs, demographics, earth science, education, entertainment, environmental issues, finance and economics, food service, geography, government, history, hobbies, labor and career issues, life science, medicine, music, nutrition, physics, political science, population, recreation, sports, technology, transportation, travel, weather, and important related mathematical areas such as geometry and statistics. (See the Index of Applications on page xxi.) Many of the applications are based on **recent and interesting real-life data.** For instance, see Section 4.3, exercise 44 , Section 5.3 exercise 85, or Section 6.4, exercise 58 for a variety of ways real data is used. Sources for data include newspapers, magazines, government publications, publicly held companies, special interest groups, research organizations, and reference books. Opportunities for obtaining your own real data with and without using the internet are also included.

**Helpful Hints:** Helpful Hints, formerly Reminders, contain practical advice on applying mathematical concepts. These are found throughout the text and **strategically placed** where students are most likely to need immediate reinforcement. They are highlighted in a box for quick reference and, as appropriate, an indicator line is used to precisely identify the particular part of a problem or concept being discussed. For instance, see pages 88 and 293.

**Visual Reinforcement of Concepts:** The text contains numerous graphics, models, and illustrations to visually clarify and reinforce concepts. These include **new and updated** bar graphs and circle graphs in two and three dimensions, line graphs, calculator screens, application illustrations, photographs, and geometric figures. There are now **approximately 1,000 figures.**

**Real World Chapter Openers:** The new two-page chapter opener focuses on how math is used in a specific career, provides links to the World Wide Web, and references a "Spotlight on Decision Making" feature within the chapter for further exploration of the **career and the relevance of algebra.** For example, look at the opener for Chapter 3. The opening pages also contain a list of section titles, and an introduction to the mathematics to be studied together with mathematical connections to previous chapters in the text.

**Student Resource Icons:** At the beginning of each section, videotape, tutorial software CD Rom, Student Solutions Manual, and Study Guide icons are displayed. These icons help remind students that these learning aids are available should they choose to use them to review concepts and skills at their own pace. These items have **direct correlation to the text** and emphasize the text's methods of solution.

**Chapter Highlights:** Found at the end of each chapter, the Chapter Highlights contain key definitions, concepts, *and* examples to **help students understand and retain what they have learned.**

**Chapter Project:** This feature occurs at the end of each chapter, often serving as a chapter wrap-up. For **individual or group completion,** the multi-part Chapter Project, usually hands-on or data based, allows students to problem solve, make interpretations, and to think and write about algebra.

In addition, a reference to alternative or additional Real World Activities is given. This **internet option** invites students to find and retrieve real data for use in solving problems." Visit the Real World Activities Website by going to www.prenhall.com/martin-gay.

**Functional Use of Color and New Design:** Elements of this text are highlighted with color or design to make it easier for students to read and study. Special care has been taken to use color within solutions to examples or in the art to **help clarify, distinguish, or connect concepts.** For example, look at page 261 in Section 5.3.

### EXERCISE SETS

Each text section ends with an exercise set, usually divided into two parts. Both parts contain graded exercises. The **first part is carefully keyed** to at least one worked example in the text. Once a student has gained confidence in a skill, the **second part contains exercises not keyed to examples.** Exercises and examples marked with a video icon have been worked out step-by-step by the author in the videos that accompany this text.

Throughout the text exercises there is an emphasis on **data and graphical interpretation** via tables, charts, and graphs. The ability to interpret data and read and create a variety of types of graphs is developed gradually so students become comfortable with it. Similarly, throughout the text there is integration of **geometric concepts,** such as perimeter and area. Exercises and examples marked with a geometry icon (o) have been identified for convenience.

Each exercise set contains one or more of the following features.

**Spotlight on Decision Making:** These unique **new, specially designed applications** help students develop their decision-making and problem solving abilities, skills useful in mathematics and in life. Appropriately placed before an exercise set begins, students have an opportunity to immediately practice and reinforce basic algebraic concepts found in the accompanying section in relevant, accessible contexts. There is an emphasis on workplace or job-related career situations (such as the decisions of a Meteorologist in Section 3.1, a phychologist in Section 7.6, or a Webmaster in Section 10.4) as well as decision-making in general (such as choosing a long-distance telephone plan in Section 4.3 or choosing an online service in Section 5.4 or deciding between two job offers in Section 11.1).

**Mental Mathematics:** These problems are found at the beginning of many exercise sets. They are mental warm-ups that **reinforce concepts** found in the accompanying section and increase students' confidence before they tackle an exercise set. By relying on their own mental skills, students increase not only their confidence in themselves, but also their number sense and estimation ability.

**Writing Exercises:** These exercises now found in almost every exercise set are marked with the pencil icon. They require students to **assimilate information** and provide a written response to explain concepts or justify their thinking. Guidelines recommended by the American Mathematical Association of Two Year Colleges (AMATYC) and other professional groups recommend incorporating writing in mathematics courses to reinforce concepts. Writing opportunities also occur within features such as Spotlight on Decision Making and Chapter Projects.

**Data and Graphical Interpretation:** Throughout the text there is an emphasis on data interpretation in exercises via tables, bar charts, line graphs, or circle graphs. The ability to interpret data and read and create a variety of graphs is **developed gradually** so students become comfortable with it.

**Calculator Explorations and Exercises:** These optional explorations offer guided instruction, through examples and exercises, on the proper use of **scientific and graphing calculators or computer graphing utilities as tools in the mathematical problem-solving process.** Placed appropriately throughout the text, these explorations reinforce concepts or motivate discovery learning.

Additional exercises building on the skills developed in the Explorations may be found in exercise sets throughout the text, and are marked with the icon for scientific calculator use or with the icon for graphing calculator use.

**Review Exercises:** These exercises occur in each exercise set (except for those in Chapter 1). These problems are **keyed to earlier sections** and review concepts learned earlier in the text that are needed in the next section or in the next chapter. These exercises show the **links between earlier topics and later material.**

**A Look Ahead:** These exercises occur at the end of some exercise sets. This section contains examples and problems similar to those found in a subsequent algebra course. "A Look Ahead" is presented as a **natural extension of the material** and contains an example followed by advanced exercises.

In addition to the approximately 5,000 exercises within sections, exercises may also be found in the Vocabulary Checks, Chapter Reviews, Chapter Tests, and Cumulative Reviews.

**Vocabulary Checks:** Vocabulary checks, **new to this edition,** provide an opportunity for students to become more familiar with the use of mathematical terms as they strengthen their verbal skills.

**Chapter Review and Chapter Test:** The end of each chapter contains a review of topics introduced in the chapter. The review problems are keyed to sections. The chapter test is not keyed to sections.

**Cumulative Review:** Each chapter after the first contains a **cumulative review of all chapters beginning with the first** up through the chapter at hand. Each problem contained in the cumulative review is actually an earlier worked example in the text that is referenced in the back of the book along with the answer. Students who need to see a complete worked-out solution, with explanation, can do so by turning to the appropriate example in the text.

### KEY CONTENT FEATURES IN THE THIRD EDITION

**Overview:** This new edition retains many of the factors that have contributed to its success. Even so, **every section of the text was carefully re-examined.** Throughout the new edition you will find numerous new applications, examples, and many real-life applications and exercises. For example, look at Sections 1.1, 3.4, or 8.2. Some sections have internal re-organization to better clarify and enhance the presentation.

**Increased Integration of Geometry Concepts:** In addition to the traditional topics in beginning algebra courses, this text contains a strong emphasis on problem solving, and geometric concepts are integrated throughout. The geometry concepts presented are those most important to a students' understanding of algebra, and I have included **many applications and exercises** devoted to this topic. These are marked with the delta icon. Also, geometric figures, a review of angles, lines, and special triangles, are covered in the appendices. The inside front cover provides a quick reference of geometric formulas.

**Real Numbers and Algebraic Expressions:** Chapter 1 now begins with Tips for Success in Mathematics (Section 1.1). Chapter 1 has been streamlined and refreshed for **greater efficiency and relevance.** New applications and real data enhance the chapter.

**Early and Intuitive Introduction to Graphs and Functions:** As bar and line graphs are gradually introduced in Chapters 1 and 2, an emphasis is placed on the notion of paired data. This leads naturally to the concepts of ordered pair and the rectangular coordinate system introduced in Chapter 3. This edition offers more real data and conceptual type applications and further strengthens the introduction to slope.

Once students are comfortable with graphing equations, functions are introduced in Chapter 3.The concept of function is illustrated in numerous ways to ensure student understanding: by listing ordered pairs of data, showing rectangular coordinate system graphs, visually representing set correspondences, and including numerous real-data and conceptual examples. **The importance of a function is continuously reinforced** by not treating it as a single, stand-alone topic but by constantly integrating functions in appropriate sections of this text.

**Increased Attention to Problem Solving:** Building on the strengths of the prior editions, a special emphasis and strong commitment is given to contemporary, accessible, and practical applications of algebra. **Real data** was drawn from a variety of sources including internet sources, magazines, newspapers, government publications, and reference books. **Unique Spotlight on Decision Making exercises and a new four-step problem solving process are incorporated throughout** to focus on helping to build students problem-solving skills.

**Increased Opportunities for Using Technology:** Optional explorations for a calculator or graphing calculator (or graphing utility such as Texas Instruments Interactive), are integrated appropriately **throughout the text** in Calculator Explorations features and in exercises marked with a calculator icon. The Martin-Gay **Companion Website** includes links to internet sites to allow opportunities for finding data and using it for problem solving such as with the accompanying on-line Real World Activities. The Website also includes links to search potential mathematically related careers branching from the chapter openers. Instructors may also choose from a variety of **distance learning or on-line delivery options** including Blackboard or Web CT.

New Examples Detailed step-by-step examples were added, deleted, replaced, or updated as needed. Many of these reflect real life. Examples are used in two ways. Often there are numbered, formal examples, and occasionally an example or application is used to introduce a topic or informally discuss the topic.

**New Exercises:** A significant amount of time was spent on the exercise sets. New exercises and examples **help address a wide range of student learning styles and abilities.** The text now includes the following types of exercises: spotlight on decision making exercises, mental math, computational exercises, real-life applications, writing exercises, multi-part exercises, review exercises, a look ahead exercises, optional calculator or graphing calculator exercises, data analysis from tables and graphs, vocabulary checks, and projects for individual or group assignment. Also available are new on-line Real World Activities accessed via this textbook's companion website, and a selection of group activities in a worksheet ready, easy to use format, found in the Instructor's Resource Manual with Tests.

**Enhanced Supplements Package:** The new Third Edition is supported by a wealth of supplements designed for **added effectiveness and efficiency.** New items include the MathPro 4.0 Explorer tutorial software together with a unique video clip feature, a new computerized testing system TestGenEQ, and an expanded and improved MartinGay companion website. Some highlights in print materials include the addition of teaching tips in the Annotated Instructor's Edition, and an expanded Instructor's Resource Manual with Tests including additional exercises and short group activities in a ready-to use-format. Please see the list of supplements for descriptions.

### OPTIONS FOR ON-LINE AND DISTANCE LEARNING

For maximum convenience, Prentice Hall offers on-line interactivity and delivery options for a variety of distance learning needs. Instructors may access or adopt these in conjunction with this text, *Intermediate Algebra.*

*Companion Website*

Visit *http://www.prenhall.com/martin-gay*

The companion Website includes basic distance learning access to provide links to the text's Real World Activities, career-related sites referenced in the chapter opening pages and a selection of online self quizzes. E-mail is available. For quick reference, the inside front cover of this text also lists the companion Website URL.

*WebCT*

WebCT includes distance learning access to content found in the Martin-Gay Companion Website plus more. WebCT provides tools to create, manage, and use on-line course materials. Save time and take advantage of items such as on-line help, communication tools, and access to instructor and student manuals. Your college may already have WebCT's software installed on their server or you may choose to download it. Contact your local Prentice Hall sales representative for details.

*Blackboard*

Visit *http://www.prenhall.com/demo*

For distance learning access to content and features from the Martin-Gay Companion Website plus more, Blackboard provides simple templates and tools to create, manage, and use on-line course materials. Save time and take advantage of items such as on-line help, course management tools, communication tools, and access to instructor and student manuals. No technical experience required. Contact your local Prentice Hall sales representative for details.

For a *complete* computer-based internet course . . .

Prentice Hall Interactive Math

Visit *http://www.prenhall.com/interactive_math*

Prentice Hall Interactive Math is an exciting, proven choice to help students succeed in math. Created for a computer-based course, it provides the effective teaching philosophy of K. Elayn Martin-Gay in an Internet-based course format. Interactive Math, Intermediate Algebra, takes advantage of state-ofthe-art technology to provide highly flexible and user-friendly course management tools and an engaging, highly interactive student learning program that easily accommodates the variety of learning styles and broad spectrum of students presented by the typical intermediate algebra class. Personalized learning includes reading, writing, watching video clips, and exploring concepts through interactive questions and activities. Contact your local Prentice Hall sales representative for details.

### SUPPLEMENTS FOR THE INSTRUCTOR

*Printed Supplements*

Annotated Instructor's Edition (ISBN 0-13-016632-4)

- Answers to exercises on the same text page or in Graphing Answer Section
- Graphing Answer Section contains answers to exercises requiring graphical solutions, chapter projects, and Spotlight on Decision Making exercises.
- Teaching Tips throughout the text placed at key points in the margin where students historically need extra help. These tips provide ideas on how to help students through these concepts, as well as ideas for expanding upon a certain concept, or ideas for classroom activities

Instructor's Solutions Manual (ISBN 0-13-017331-2)

- Detailed step-by-step solutions to even-numbered section exercises
- Solutions to every Spotlight on Decision Making exercise
- Solutions to every Calculator Exploration exercise
- Solutions to every Chapter Test and Chapter Review exercise
- Solution methods reflect those emphasized in the textbook

Instructor's Resource Manual with Tests (ISBN 0-13-017332-0)

- Notes to the Instructor that includes an introduction to Interactive Learning, Interpreting Graphs and Data, Alternative Assessment, Using Technology and Helping Students Succeed
- Eight Chapter Tests per chapter (5 free response, 3 multiple choice)
- Two Cumulative Review Tests (one free response, one multiple choice) following every two chapters
- Eight Final Exams (4 free response, 4 multiple choice)
- Twenty additional exercises per section for added test exercises or worksheets, if needed
- Group Activities by Bettie A. Truitt, Ph.D. (on average of two per chapter; providing short group activities in a convenient ready-to-use handout format)
- Answers to all items

*Media Supplements*

TestGen EQ CD-Rom (Windows/Macintosh) (ISBN 0-13-018575-2)

- Algorithmically driven, text specific testing program
- Networkable for administering tests and capturing grades on-line
- Edit or add your own questions to create a nearly unlimited number of tests and worksheets
- Use the new "Function Plotter" to create graphs
- Tests can be easily exported to HTML so they can be posted to the Web for student practice

Computerized Tutorial Software Course Management Tools

MathPro 4.0 Explorer Network CD-Rom (ISBN 0-13-018577-9)

- 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 e-mail function for network users, enabling instructors to send a message to a specific student or to an entire group
- Network based reports and summaries for a class or student and for cumulative or selected scores are available

Companion Website: *http://www.prenhall.com/martin-gay*

- Create a customized online syllabus with Syllabus Manager
- Assign Internet-based Real World Activities, wherein students find and retrieve real data for use in guided problem solving
- Assign quizzes or monitor student self quizzes by having students e-mail results, such as true/false reading quizzes or vocabulary check quizzes
- Destination links provide additional opportunities to explore related sites

### SUPPLEMENTS FOR THE STUDENT

*Printed Supplements*

Student Solutions Manual (ISBN 0-13-017329-0)

- Detailed step-by-step solutions to odd-numbered section exercises
- Solutions to every (odd and even) Mental Math exercise
- Solutions to odd-numbered Calculator Exploration exercises
- Solutions to every (odd and even) exercise found in the Chapter Reviews and Chapter Tests
- Solution methods reflect those emphasized in the textbook
- Ask your bookstore about ordering

Student Study Guide (ISBN 0-13-017320-7)

- Additional step-by-step worked out examples and exercises
- Practice tests and final examination
- Includes Study Skills and Note-taking suggestions
- Includes Hints and Warnings section
- Solutions to all exercises, tests, and final examination
- Solution methods reflect those emphasized in the text
- Ask your bookstore about ordering

How to Study Mathematics

- Have your instructor contact the local Prentice Hall sales representative

Math on the Internet: A Student's Guide

- Have your instructor contact the local Prentice Hall sales representative

Prentice Hall/New York Times, Theme of the Times Newspaper Supplement

- Have your instructor contact the local Prentice Hall sales representative

*Media Supplements*

Computerized Tutorial Software,BR> MathPro 4.0 Explorer Network CD-Rom (ISBN 0-13-018577-9)

MathPro 4.0 Explorer Student CD-Rom (ISBN 0-13-018578-7)

- Keyed to each section of the text for text-specific tutorial exercises and instruction
- Warm-up exercises and graded Practice Problems
- Video clips, providing a problem (similar to the one being attempted) being explained and worked out on the board
- Explorations, allowing explorations of concepts associated with objectives in more detail
- Algorithmically generated exercises, and includes bookmark, on-line help, glossary, and summary of scores for the exercises tried
- Interactive feedback
- Have your instructor contact the local Prentice Hall sales representative—also available for home use

Videotape Series (ISBN 0-13-018583-3)

- Written and presented by textbook author K. Elayn Martin-Gay Keyed to each section of the text
- Presentation and step-by-step solutions to exercises from each section of the text.
- Examples or exercises taken directly from the text are marked with a video icon.
- Key concepts are explained

Companion Website: *http://www.prenhall.com/martin-gay*

- Offers Warm-ups, Real World Activities, True/False Reading Quizzes, Chapter Quizzes, and Vocabulary Check Quizzes
- Includes a link to the Real World Activities referenced in each chapter of this text
- Option to e-mail results to your instructor
- Destination links provide additional opportunities to explore other related sites, such as those mentioned in this text's chapter opening pages

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