Professional

Elementary and Intermediate Algebra, 5th Edition

  • Alan S. Tussy Citrus College
  • R. David Gustafson Rock Valley College (Emeritus)
  • ISBN-10: 1111567689  |  ISBN-13: 9781111567682
  • 1280 Pages
  • Previous Editions: 2009, 2006, 2006
  • © 2013 | Published
  • List Price = $ 323.95
  • For quantity discounts, Contact your Representative
  • For single copy purchases, visit CengageBrain.com

About

Overview

Algebra can be like a foreign language, but ELEMENTARY AND INTERMEDIATE ALGEBRA, 5E, gives you the tools and practice you need to fully understand the language of algebra and the "why" behind problem solving. Using Strategy and Why explanations in worked examples and a six-step problem solving strategy, ELEMENTARY AND INTERMEDIATE ALGEBRA, 5E, will guide you through an integrated learning process that will expand your reasoning abilities as it teaches you how to read, write, and think mathematically. Feel confident about your skills through additional practice in the text and Enhanced WebAssign. With ELEMENTARY AND INTERMEDIATE ALGEBRA, 5E, algebra will make sense because it is not just about the x...it's also about the WHY.

Features and Benefits

  • Worked examples with Strategy and Why explanation help students gain a deeper understanding of the algebraic concepts because they understand why a particular approach was taken. Detailed author notes throughout the worked example guide students along a step-by-step process. At the end of each worked example, a "Self Check" problem offers immediate practice and feedback on the students' understanding and "Now Try" links to similar problems in the Guided Practice section of the Study Sets.
  • Study Sets found in each section are designed for students to methodically build their knowledge of the section concepts, from basic recall to increasingly complex problem solving, through reading, writing, and thinking mathematically. Each Study Set includes the following exercises: Vocabulary, Concepts, Notation, Guided Practice, Try It Yourself, Applications, Writing, Review, and Challenge Problems. All the Vocabulary problems, a wide selection of Try It Yourself and Guided Practice problems, and at least one Challenge Problem per section are available on Enhanced WebAssign.
  • Reading the Language of Algebra. Students often have difficulty reading the mathematical notation of algebra. To provide students assistance, notes, such as "Read as ..." statements, appear throughout the text to explain how to read newly introduced notation.
  • The Language of Algebra boxes draw connections between mathematical terms and everyday references to reinforce the language of algebra thread that runs throughout the text.
  • Cumulative Reviews follow the end-of-chapter material and test students' skills before moving on to the next chapter. Each problem is linked to the associated section for easy reference.
  • Using Your Calculator is an optional feature designed for instructors who wish to use calculators as part of the instruction in this course. This feature introduces keystrokes and shows how scientific and graphing calculators can be used to solve problems.
  • Valuable Teaching Tools. Teaching Tips have been placed at strategic places in the margins to offer instructional suggestions that can be employed during classroom presentations. In addition, each worked example has an accompanying Teaching Example that instructors can use as part of a classroom lecture.

Table of Contents

1. AN INTRODUCTION TO ALGEBRA.
Introducing the Language of Algebra. Fractions. The Real Numbers. Adding Real Numbers; Properties of Addition. Subtracting Real Numbers. Multiplying and Dividing Real Numbers; Multiplication and Division Properties. Exponents and Order of Operations. Algebraic Expressions. Simplifying Algebraic Expressions Using Properties of Real Numbers. Chapter Summary and Review. Chapter Test. Group Project.
2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING.
Solving Equations Using Properties of Equality. More about Solving Equations. Applications of Percent. Formulas. Problem Solving. More about Problem Solving. Solving Inequalities. Chapter Summary and Review. Chapter Test. Group Project.
3. GRAPHING LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES; FUNCTIONS.
Graphing Using the Rectangular Coordinate System. Graphing Linear Equations. Intercepts. Slope and Rate of Change. Slope-Intercept Form. Point-Slope Form. Graphing Linear Inequalities. An Introduction to Functions. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
4. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.
Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitution. Solving Systems of Equations by Elimination (Addition). Problem Solving Using Systems of Equations. Solving Systems of Linear Inequalities. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
5. EXPONENTS AND POLYNOMIALS.
Rules for Exponents. Zero and Negative Exponents. Scientific Notation. Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Special Products. Polynomials. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
6. FACTORING AND QUADRATIC EQUATIONS.
The Greatest Common Factor; Factoring by Grouping. Factoring Trinomials of the Form x2 + bx + c. Factoring Trinomials of the Form ax2 + bx + c. Factoring Perfect-Square Trinomials and the Difference of Two Squares. Factoring the Sum and Difference of Two Cubes. A Factoring Strategy. Solving Quadratic Equations by Factoring. Applications of Quadratic Equations. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
7. RATIONAL EXPRESSIONS AND EQUATIONS.
Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting with Like Denominators; Least Common Denominators. Adding and Subtracting with Unlike Denominators. Simplifying Complex Fractions. Solving Rational Equations. Problem Solving Using Rational Equations. Proportions and Similar Triangles. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
8. TRANSITION TO INTERMEDIATE ALGEBRA.
Review of Solving Linear Equations, Formulas, and Linear Inequalities; Applications. Functions. Graphs of Functions. Solving Compound Inequalities. Solving Absolute Value Equations and Inequalities. Review of Factoring Methods: GCF, Grouping, Trinomials. Review of Factoring Methods: The Difference of Two Squares; The Sum and Difference of Two Cubes. Review of Rational Expressions and Rational Equations; Rational Functions. Variation. Chapter Summary and Review. Chapter Test. Group Project.
9. RADICAL EXPRESSIONS AND EQUATIONS.
Radical Expressions and Radical Functions. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations. Geometric Applications of Radicals. Complex Numbers. Chapter Summary and Review. Chapter Test. Group Project.
10. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES.
The Square Root Property and Completing the Square. The Quadratic Formula. The Discriminant and Equations That Can Be Written in Quadratic Form. Quadratic Functions and Their Graphs. Quadratic and Other Nonlinear Inequalities. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Algebra and Composition of Functions. Inverse Functions. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Base-e Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter Summary and Review. Chapter Test. Group Project.
12. MORE ON SYSTEMS OF EQUATIONS.
Solving Systems of Equations in Two Variables; Applications. Solving Systems of Equations in Three Variables. Problem Solving Using Systems of Three Equations. Solving Systems of Equations Using Matrices. Solving Systems of Equations Using Determinants. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
13. CONIC SECTIONS; MORE GRAPHING.
The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Nonlinear Systems of Equations. Chapter Summary and Review. Chapter Test. Group Project.
14. MISCELLANEOUS TOPICS.
The Binomial Theorem. Arithmetic Sequences and Series. Geometric Sequences and Series. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
Appendix 1: Roots and Powers.
Appendix 2: Synthetic Division.
Appendix 3: Answers to Selected Problems.

What's New

  • New! "Are You Ready?" problems start each section to review crucial prerequisite skills that students need to have mastered in order to be successful with the new topics of that section. "Are You Ready?" questions also are available in Enhanced WebAssign providing you with the opportunity to assign short quizzes to test your students' knowledge before class.
  • New! "Look Alikes" feature builds students' problem recognition skills. This feature requires students to distinguish between similar looking problem types and then select the correct strategy to solve the problem. Encountering such situations in the homework assignments will better prepare students for quizzes and tests. A broad selection of "Look Alikes" problems is available in Enhanced WebAssign for you to assign.
  • Over 80% more "Try It Yourself" problems were added to the Fifth Edition based on instructors and reviewers requests for additional problem recognition practice. These problem types are thoroughly mixed, giving students an opportunity to practice decision making and strategy selection as they would when taking a test or quiz. Easily assign a variety of "Try It Yourself" problems through Enhanced WebAssign to offer your students strategy selection practice.
  • Six-Step Problem Solving Strategy. To better delineate the thought process students use as they solve application problems, the new edition includes a new second step (Assign a variable to represent an unknown value in the problem) in what was formerly a five-step process. The six steps of the problem solving strategy are: Analyze the problem, Assign a variable, Form an equation, Solve the equation, State the conclusion, and Check the result.
  • New to this edition, from the comprehensive Study Sets in each section all the Vocabulary problems, a wide selection of Try It Yourself and Guided Practice problems, and at least one Challenge Problem per section are available on Enhanced WebAssign.
  • Additional Relevant, Motivating Applications in the Examples and Study Sets. The new edition includes many new applied examples and problems that involve relevant topics such as our environment and sustainability issues, energy savings, technology and social media, and recycling.
  • Each chapter in the Fifth Edition has three Campus to Careers problems that explore the mathematical connections to careers that are presented at the beginning of each chapter.
  • 70% of all end of section problems available in Enhanced WebAssign for ELEMENTARY & INTERMEDIATE ALGEBRA, 5E

Alternate Formats

Choose the format that best fits your student's budget and course goals

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  • Cengage Advantage Series

    ISBN-10: 1111578273 | ISBN-13: 9781111578275

    List Price = $205.95  | CengageBrain Price = $205.95

Learning Resource Bundles

Choose the textbook packaged with the resources that best meet your course and student needs. Contact your Learning Consultant for more information.

Bundle: Elementary and Intermediate Algebra, 5th + Conquering Math Anxiety (with CD-ROM), 3rd

ISBN-10: 1133289789  | ISBN-13: 9781133289784

List Price = $436.95  | CengageBrain Price = $436.95


Bundle: Text + Student Solutions Manual

ISBN-10:  1133289819  | ISBN-13:  9781133289814

List Price = $459.95  | CengageBrain Price = $459.95


Bundle: Text + Student Workbook

ISBN-10:  1133289770  | ISBN-13:  9781133289777

List Price = $329.95  | CengageBrain Price = $329.95


Bundle: Elementary and Intermediate Algebra, 5th + Math Study Skills Workbook, 4th

ISBN-10:  1133289800  | ISBN-13:  9781133289807

List Price = $394.95  | CengageBrain Price = $394.95


Printed Text + Math CourseMate with eBook Instant Access Code

ISBN-10:  1133423779  | ISBN-13:  9781133423775

List Price = $336.95  | CengageBrain Price = $336.95


Bundle: Text + Enhanced WebAssign Printed Access Card for Developmental Math, Single-Term Courses

ISBN-10:  1133289797  | ISBN-13:  9781133289791

List Price = $329.95


Printed Text + Enhanced WebAssign Instant Access for Developmental Math, Single-Term Courses

ISBN-10:  1305514955  | ISBN-13:  9781305514959

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Printed Text + Student Solutions Manual + Enhanced WebAssign Instant Access for Developmental Math, Single-Term Courses

ISBN-10:  1305515102 | ISBN-13:  9781305515109

List Price = $466.95  | CengageBrain Price = $466.95


Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

Solutions Builder  (ISBN-10: 1111988218 | ISBN-13: 9781111988210)

This online instructor database offers complete worked solutions to all exercises in the text, allowing you to create customized, secure solutions printouts (in PDF format) matched exactly to the problems you assign in class. For more information, visit www.cengage.com/solutionbuilder.

Elementary and Intermediate Algebra, 5th: Complete Solutions Manual  (ISBN-10: 1111578486 | ISBN-13: 9781111578480)

The Complete Solutions Manual provides worked-out solutions to all of the problems in the text.

Elementary and Intermediate Algebra, 5th: PowerLecture CD-ROM with ExamView Test Generator  (ISBN-10: 1111988242 | ISBN-13: 9781111988241)

This CD-ROM (or DVD) provides the instructor with dynamic media tools for teaching. Create, deliver, and customize tests (both print and online) in minutes with ExamView® Computerized Testing Featuring Algorithmic Equations. Easily build solution sets for homework or exams using Solution Builder's online solutions manual. Microsoft® PowerPoint® lecture slides and figures from the book are also included on this CD-ROM (or DVD). Also includes print-ready test banks.

Student Solutions Manual  (ISBN-10: 1111578478 | ISBN-13: 9781111578473)

Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

List Price = $136.95  | CengageBrain Price = $136.95  | College Bookstore Wholesale Price = $102.75

Student Workbook  (ISBN-10: 1111987831 | ISBN-13: 9781111987831)

Get a head start! The Student Workbook contains all of the Assessments, Activities, and Worksheets from the Instructor's Resource Binder for classroom discussions, in-class activities, and group work.

List Price = $96.95  | CengageBrain Price = $96.95  | College Bookstore Wholesale Price = $73.25

Complete Course Notebook  (ISBN-10: 1133364489 | ISBN-13: 9781133364481)

NEW! Get your students up to speed with study skills while they learn course-specific material. This notebook introduces students to the steps they need to take to ensure college success, and then guides them step-by-step through each section of their textbook. Each chapter contains a chapter readiness assessment, fill-in-the-blank course notes, activities, structured note taking guides, end-of-chapter test prep, a glossary, and flashcards. The notebook also contains general tip sheets on note taking, studying, assessing their test scores, and much more. The three-hole punched and perforated format allows students to insert all relevant pages into a 3-ring binder and organize them along with their class notes, homework, review sheets, and tests.

List Price = $55.95  | CengageBrain Price = $55.95  | College Bookstore Wholesale Price = $42.25

CourseMate, 2 terms (12 months) Instant Access  (ISBN-10: 142827474X | ISBN-13: 9781428274747)

Cengage Learning's CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Maximize your course success with the integrated eBook and chapter-specific learning tools that include flashcards, quizzes, videos, and more in your CourseMate. Key Features: Interactive eBook, Engagement Tracker, Learning Objectives, Tutorial Quizzes, Glossary and Flashcards, and Web Links and References.

List Price = $259.00  | CengageBrain Price = $259.00  | College Bookstore Wholesale Price = $259.00

Enhanced WebAssign Instant Access for Developmental Math, Single-Term Courses  (ISBN-10: 1285857739 | ISBN-13: 9781285857732)

IMPORTANT: When purchasing this instant access code for Developmental Math, ensure that you are using it in one of the following courses: Basic Math, Prealgebra, Elementary Algebra, Introductory Algebra, Intermediate Algebra or Elementary & Intermediate Algebra. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.

List Price = $82.00  | CengageBrain Price = $82.00  | College Bookstore Wholesale Price = $82.00

College Prep Algebra: Instructor’s Resource Binder for Algebra Activities 2011  (ISBN-10: 0538736755 | ISBN-13: 9780538736756)

Each section of the main text is discussed in uniquely designed Teaching Guides containing instruction tips, examples, activities, worksheets, overheads, assessments, and solutions to all worksheets and activities.

Student Supplements

Student Solutions Manual  (ISBN-10: 1111578478 | ISBN-13: 9781111578473)

Go beyond the answers—see what it takes to get there and improve your grade! This manual provides worked-out, step-by-step solutions to the odd-numbered problems in the text. This gives you the information you need to truly understand how these problems are solved.

List Price = $136.95  | CengageBrain Price = $136.95  | College Bookstore Wholesale Price = $102.75

Student Workbook  (ISBN-10: 1111987831 | ISBN-13: 9781111987831)

Get a head start! The Student Workbook contains all of the Assessments, Activities, and Worksheets from the Instructor's Resource Binder for classroom discussions, in-class activities, and group work.

List Price = $96.95  | CengageBrain Price = $96.95  | College Bookstore Wholesale Price = $73.25

Complete Course Notebook  (ISBN-10: 1133364489 | ISBN-13: 9781133364481)

The Complete Course Notebook is your blueprint for success in your algebra course and in all your future studies! This notebook organizes and guides you through your course, offering step-by-step practice related to each section of your textbook. Each chapter contains a chapter readiness assessment, fill-in-the-blank course notes, structured note-taking guides, activities, end-of-chapter test prep, a glossary, and flashcards. The notebook also contains general tip sheets on note-taking, studying, assessing your test scores, and much more. Simply tear out the relevant pages and insert them into a three-ring binder with your class notes, homework, and tests, and you'll have all the organizational tools you need to succeed. CengageBrain eBook Content Access Length: None

List Price = $55.95  | CengageBrain Price = $55.95  | College Bookstore Wholesale Price = $42.25

CourseMate, 2 terms (12 months) Instant Access  (ISBN-10: 142827474X | ISBN-13: 9781428274747)

Cengage Learning's CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Maximize your course success with the integrated eBook and chapter-specific learning tools that include flashcards, quizzes, videos, and more in your CourseMate. Key Features: Interactive eBook, Engagement Tracker, Learning Objectives, Tutorial Quizzes, Glossary and Flashcards, and Web Links and References.

List Price = $259.00  | CengageBrain Price = $259.00  | College Bookstore Wholesale Price = $259.00

Enhanced WebAssign Instant Access for Developmental Math, Single-Term Courses  (ISBN-10: 1285857739 | ISBN-13: 9781285857732)

IMPORTANT: When purchasing this instant access code for Developmental Math, ensure that you are using it in one of the following courses: Basic Math, Prealgebra, Elementary Algebra, Introductory Algebra, Intermediate Algebra or Elementary & Intermediate Algebra. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.

List Price = $82.00  | CengageBrain Price = $82.00  | College Bookstore Wholesale Price = $82.00

Meet the Author

Author Bio

Alan S. Tussy

: Alan Tussy teaches all levels of developmental mathematics at Citrus College in Glendora, CA. He has written nine math books-a paperback series and a hard-cover series. An extraordinary author, he is dedicated to his students' success, relentlessly meticulous, creative, and a visionary who maintains a keen focus on his students' greatest challenges. Alan received his Bachelor of Science degree in Mathematics from the University of Redlands and his Master of Science degree in Applied Mathematics from California State University, Los Angeles. He has taught up and down the curriculum from prealgebra to differential equations. He is currently focusing on the developmental math courses. Professor Tussy is a member of the American Mathematical Association of Two-Year Colleges.

R. David Gustafson

R. David Gustafson is Professor Emeritus of Mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Frisk/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH, and the Tussy/Gustafson and Tussy/Gustafson/Koenig developmental mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in AMATYC as a Midwest Vice-president and has been President of IMACC, AMATYC's Illinois affiliate. He earned a Master of Arts from Rockford College in Illinois, as well as a Master of Science from Northern Illinois University.