Higher Education

Introductory Algebra, 4th Edition

  • Alan S. Tussy Citrus College
  • R. David Gustafson Rock Valley College (Emeritus)
  • Diane Koenig Rock Valley College
  • ISBN-10: 1439047871  |  ISBN-13: 9781439047873
  • 864 Pages
  • Previous Editions: 2006, 2006, 2002
  • © 2011 | Published
  • College Bookstore Wholesale Price = $214.75 List Price = $ 285.95
  • Newer Edition Available

About

Overview

Offering a uniquely modern, balanced approach, Tussy/Gustafson/Koenig's INTRODUCTORY ALGEBRA, Fourth Edition, integrates the best of traditional drill and practice with the best elements of the reform movement. To many developmental math students, algebra is like a foreign language. They have difficulty translating the words, their meanings, and how they apply to problem solving. Emphasizing the "language of algebra," the text's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. It blends instructional approaches that include vocabulary, practice, and well-defined pedagogy with an emphasis on reasoning, modeling, communication, and technology skills.

Features and Benefits

  • One of the hallmarks of the series, comprehensive study sets were developed with a clear progression in terms of level so that students methodically build their knowledge of the section concepts, from basic recall to more complex problem-solving. Each Study Set includes the following exercises: Vocabulary, Concepts, Notation, Guided Practice, Try It Yourself, Applications, Writing, and Review.
  • The authors' proven five-step problem-solving strategy teaches students to analyze the problem, form an equation, solve the equation, state the conclusion, and check the result. This step-by-step approach clarifies the thought process and mathematical skills necessary to solve a wide variety of problems—which bolsters student confidence and sharpens problem-solving skills.
  • Combining the best of traditional and reform approaches, INTRODUCTORY ALGEBRA, Fourth Edition, focuses on adequate skill development while emphasizing applications and interpretation of visual data, conceptual development, and problem solving. The text utilizes creative applications, a unique learning system, and an emphasis on the language of algebra.
  • The applications have been the most well-received aspect of the text. Practical and relevant, the text's real-world emphasis is integrated throughout, including study set applications, chapter openers, and in-text examples. Real-life applications are presented from a number of disciplines, including science, business, economics, manufacturing, entertainment, history, art, music, and mathematics.
  • Saving you time and improving students' results, WebAssign is the most widely used homework system in higher education—and it's integrated with the text. It allows you to assign, collect, grade, and record homework assignments via the web. It algorithmically generates variables in questions and provides question-specific student-support materials: electronic files from relevant parts of the textbook, videos of a similar exercise, active examples with worked out solutions, and robust tutorials.

Table of Contents

1. AN INTRODUCTION TO ALGEBRA.
The Language of Algebra. Fractions. The Real Numbers. Adding Real Numbers; Properties of Addition. Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Exponents and Order of Operations. Algebraic Expressions. Simplifying Algebraic Expressions Using Properties of Real Numbers. Chapter 1 Summary and Review. Chapter 1 Test.
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 2 Summary and Review. Chapter 2 Test. Chapters 1-2 Cumulative Review Exercises.
3. GRAPHS, LINEAR EQUATIONS, AND FUNCTIONS.
Graphing Using the Rectangular Coordinate System. Equations Containing Two Variables. Graphing Linear Equations. Rate of Change and the Slope of a Line. Slope-Intercept Form. Point-Slope Form; Writing Linear Equations. Graphing Linear Inequalities. Functions. Chapter 3 Summary and Review. Chapter 3 Test. Chapters 1-3 Cumulative Review Exercises.
4. SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES.
Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitution. Solving Systems of Equations by Addition (Elimination). Problem Solving Using Systems of Equations. Solving Systems of Linear Inequalities. Chapter 4 Summary and Review. Chapter 4 Test. Chapters 1-4 Cumulative Review Exercises.
5. EXPONENTS AND POLYNOMIALS.
Natural-Number Exponents; Rules of Exponents. Zero and Negative Integer Exponents. Scientific Notation. Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing Polynomials by Monomials. Dividing Polynomials by Polynomials. Chapter 5 Summary and Review. Chapter 5 Test. Chapters 1-5 Cumulative Review Exercises.
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. Quadratic Equations. Applications of Quadratic Equations. Chapter 6 Summary and Review. Chapter 6 Test. Chapters 1-6 Cumulative Review Exercises.
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. Variation. Chapter 7 Summary and Review. Chapter 7 Test. Chapters 1-7 Cumulative Review Exercises.
8. ROOTS AND RADICALS.
Square Roots. Higher-Order Roots; Radicands That Contain Variables. Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations; the Distance Formula. Rational Exponents. Chapter 8 Summary and Review. Chapter 8 Test. Chapters 1-8 Cumulative Review Exercises.
9. QUADRATIC EQUATIONS.
Solving Quadratic Equations: The Square Root Property. Solving Quadratic Equations: Completing the Square. Solving Quadratic Equations: The Quadratic Formula. Graphing Quadratic Functions. Complex Numbers. Chapter 9 Summary and Review. Chapter 9 Test. Chapter 9 Cumulative Review Exercises.

What's New

  • Students gain a deeper understanding of algebraic concepts if they know why a particular approach is taken. That instructional truth was the motivation for adding a "Strategy and Why" explanation to the solution of each worked example, providing a concise answer to that all-important question, "Why?"
  • The practice problems have been heavily revised to address every topic within each section and to maintain a clear progression of level. The Practice section has been divided into two categories, Guided Practice and Try It Yourself. Guided Practice takes each practice problem and keys it directly to the appropriate example in the section. The Guided Practice problems also promote student success by referring them to the proper worked example(s) or objective(s) if they encounter difficulties solving homework problems. Try It Yourself problems were designed to help students determine their own strategies when solving problems just as they would when they take a test.
  • Each worked example now ends with a Now Try problem completing the final step in the learning process. Each one is linked to a similar problem found within the Guided Practice section of the Study Sets.
  • Context-driven chapter openers include new "From Campus to Careers" features that highlight vocations requiring a variety of algebraic skills. The job outlook, educational requirements, and annual earnings data give students practical information to make career decisions. Problems presented in the openers are tied to exercises in the Study Sets.
  • INTRODUCTORY ALGEBRA begins with a Study Skills Workshop module. This module contains one-page discussions of study skills topics followed by a Now Try This section offering students actionable skills, assignments, and projects that will impact their study habits throughout the course. In addition, Study Skills Checklists, appearing before the Chapter Summary and Review, warn students of common errors giving them time to consider these pitfalls before taking their exam.
  • The Instructor's Resource Binder is an excellent resource for seasoned instructors and those new to the course. These insightful teaching guides cover each section of the main text, providing instruction tips, examples, activities, worksheets, overheads, assessments, and solutions. The kit also integrates the authors' philosophy, helping adjuncts successfully teach with this unique approach.

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: Text + Text-Specific Video

ISBN-10: 1111491593  | ISBN-13: 9781111491598

List Price = $284.95  | College Bookstore Wholesale Price = $210.75

This Bundle Includes:

  • Introductory Algebra
    List Price = $285.95  | College Bookstore Wholesale Price = $214.75
  • Text-Specific DVD's
    List Price = $83.95  | College Bookstore Wholesale Price = $62.75


Bundle: Text + Enhanced WebAssign Homework with eBook Access Card for One Term Math and Science

ISBN-10:  1111116709  | ISBN-13:  9781111116705

List Price = $291.95  | CengageBrain Price = $291.95  | College Bookstore Wholesale Price = $219.75

This Bundle Includes:

  • Introductory Algebra
    List Price = $285.95  | College Bookstore Wholesale Price = $214.75
  • Enhanced WebAssign, 1 term (6 months) Printed Access Card for Developmental Math, Single-Term Courses
    List Price = $82.00  | College Bookstore Wholesale Price = $61.50


Bundle: Introductory Algebra, 4th + Conquering Math Anxiety (with CD-ROM), 3rd

ISBN-10:  1111487324  | ISBN-13:  9781111487324

List Price = $398.95  | CengageBrain Price = $398.95  | College Bookstore Wholesale Price = $299.75

This Bundle Includes:

  • Introductory Algebra
    List Price = $285.95  | College Bookstore Wholesale Price = $214.75
  • Conquering Math Anxiety
    List Price = $112.95  | CengageBrain Price = $112.95  | College Bookstore Wholesale Price = $85.00


Bundle: Text + Student Solutions Manual

ISBN-10:  1111496358  | ISBN-13:  9781111496357

List Price = $385.95  | CengageBrain Price = $385.95  | College Bookstore Wholesale Price = $290.50

This Bundle Includes:

  • Introductory Algebra
    List Price = $285.95  | College Bookstore Wholesale Price = $214.75
  • Student Solutions Manual
    List Price = $100.95  | College Bookstore Wholesale Price = $75.75


Bundle: Introductory Algebra, 4th + Basic Geometry for College Students: An Overview of the Fundamental Concepts of Geometry, 2nd

ISBN-10:  1111616663  | ISBN-13:  9781111616663

List Price = $354.95  | CengageBrain Price = $354.95  | College Bookstore Wholesale Price = $267.25

This Bundle Includes:

  • Introductory Algebra
    List Price = $285.95  | College Bookstore Wholesale Price = $214.75
  • Basic Geometry for College Students: An Overview of the Fundamental Concepts of Geometry
    List Price = $69.95  | CengageBrain Price = $69.95  | College Bookstore Wholesale Price = $52.50


Bundle: Text + Math Study Skills Workbook, 4th

ISBN-10:  1111871574 | ISBN-13:  9781111871574

List Price = $356.95  | CengageBrain Price = $356.95  | College Bookstore Wholesale Price = $268.75

This Bundle Includes:

  • Introductory Algebra
    List Price = $285.95  | College Bookstore Wholesale Price = $214.75
  • Math Study Skills Workbook
    List Price = $71.95  | College Bookstore Wholesale Price = $54.00


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

Complete Solutions Manual  (ISBN-10: 0538733918 | ISBN-13: 9780538733915)

PowerLecture with ExamView®  (ISBN-10: 0538733888 | ISBN-13: 9780538733885)

Soltuion Builder  (ISBN-10: 0538733926 | ISBN-13: 9780538733922)

This online solutions manual allows instructors to create customizable solutions that they can print out to distribute or post as needed. This is a convenient and expedient way to deliver solutions to specific homework sets. Visit www.cengage.com/solutionbuilder.

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 your students need to retake the course and you are using the same book AND edition then they 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 Cengage Learning Consultant.

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

Interactive eBook  (ISBN-10: 0538741384 | ISBN-13: 9780538741385)

List Price = $148.49  | College Bookstore Wholesale Price = $111.25

Developmental Mathematics CourseMate with eBook, 1 term (6 months) Instant Access  (ISBN-10: 111147849X | ISBN-13: 9781111478490)

Cengage Learning's Mathematics CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Access an integrated eBook, learning tools including flashcards, quizzes, and more, all designed specifically to work with INTRODUCTORY ALGEBRA, 4th Edition.

List Price = $200.00  | CengageBrain Price = $200.00  | College Bookstore Wholesale Price = $200.00

Student Solutions Manual  (ISBN-10: 053873390X | ISBN-13: 9780538733908)

Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in INTRODUCTORY ALGEBRA, 4th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.

List Price = $100.95  | College Bookstore Wholesale Price = $75.75

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

Bundle: Text + Enhanced WebAssign Homework with eBook Access Card for One Term Math and Science  (ISBN-10: 1111116709 | ISBN-13: 9781111116705)

Algebra can be like a foreign language. But one text delivers an interpretation you can fully understand. Building a conceptual foundation in the "language of algebra," INTRODUCTORY ALGEBRA, Fourth Edition, provides an integrated learning process that helps you expand your reasoning abilities as it teaches you how to read, write, and think mathematically. Packed with real-life applications of math, it blends instructional approaches that include vocabulary, practice, and well-defined pedagogy with an emphasis on reasoning, modeling, communication, and technology skills. The authors' five-step problem-solving approach makes learning easy. More student-friendly than ever, the text offers a rich collection of student learning tools, including the Enhanced WebAssign online learning system. With INTRODUCTORY ALGEBRA, Fourth Edition, algebra makes sense!

List Price = $291.95  | CengageBrain Price = $291.95  | College Bookstore Wholesale Price = $219.75

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.

Diane Koenig

Diane Koenig received a Bachelor of Science degree in Secondary Math Education from Illinois State University in 1980. She began her career at Rock Valley College in 1981, when she became the Math Supervisor for the newly formed Personalized Learning Center. Earning her Master's Degree in Applied Mathematics from Northern Illinois University, Ms. Koenig in 1984 had the distinction of becoming the first full-time woman mathematics faculty at Rock Valley College. In addition to being nominated for AMATYC's Excellence in Teaching Award, Diane Koenig was chosen as the Rock Valley College Faculty of the Year by her peers in 2005, and, in 2006, she was awarded the NISOD Teaching Excellence Award as well as the Illinois Mathematics Association of Community Colleges Award for Teaching Excellence. In addition to her teaching, Ms. Koenig has been an active member of the Illinois Mathematics Association of Community Colleges (IMACC). As a member, she has served on the board of directors, on a state-level task force rewriting the course outlines for the developmental mathematics courses, and as the association's newsletter editor.