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Introductory Algebra, 5th Edition

Alan S. Tussy, Diane Koenig

  • Copyright 2015
  • {{checkPublicationMessage('Published', '2014-01-29T00:00:00+0000')}}
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Introductory Algebra 5th Edition by Alan S. Tussy/Diane Koenig
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Overview

Offering a uniquely modern, balanced approach, Tussy/Koenig's INTRODUCTORY ALGEBRA, Fifth 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.

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Meet the Authors

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Alan S. Tussy

Alan Tussy received a Bachelor of Science in Mathematics from the University of Redlands and a Master of Science in Applied Mathematics from California State University, Los Angeles. He has taught across a variety of course and curriculum areas from pre-algebra to differential equations at Arcadia High School and Citrus Community College in Glendora, CA. He has authored best-selling paperback and hardcover developmental mathematic series now in their 6th editions published by Cengage. An extraordinary author, he is dedicated to his students' success and is a relentlessly meticulous and creative visionary who maintains a keen focus on the greatest challenges students of today face in mathematics. He is a well-received conference speaker and has recently focused on mentoring and counseling the next generation of mathematics instructors.

Diane Koenig

A nationally recognized educator and author, Diane Koenig actively shaped several textbooks, ancillaries and series. Since 1982 when she helped develop the Gustafson/Frisk series to her work on the Tussy/Koenig/Gustafson series, Diane’s writing continues to reflect the expertise she gains from working with students in her Mathematics courses. Throughout her work, she integrates research-based strategies in Mathematics education. She earned a Bachelor of Science degree in Secondary Math Education from Illinois State University in 1980, and began her career at Rock Valley College in 1981, when she became the Math Supervisor for a newly formed Personalized Learning Center. Earning her Master's Degree in Applied Mathematics from Northern Illinois University in 1984, Diane, enjoys the distinction of being the first woman to become a full-time faculty member in the Mathematics department for Rock Valley College. In addition to being awarded AMATYC's Excellence in Teaching Award in 2015, she was chosen as the Rock Valley College Faculty of the Year by her peers in 2005, and the next year she was awarded the NISOD Teaching Excellence Award and the Illinois Mathematics Association of Community Colleges Award for Teaching Excellence. In addition to her teaching, she is an active member of the Illinois Mathematics Association of Community Colleges (IMACC), serving 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.

What's New

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  • The authors have done an extensive revision on the application problems to continue to keep them current and relevant.
  • The five-step problem solving approach has been updated to a six-step approach.
  • Enhanced WebAssign now includes coverage for each learning objective, making the online homework system even more robust for the Fifth Edition.

Features

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  • Students gain a deeper understanding of mathematics concepts if they know why a particular approach is taken. That instructional truth was the motivation for including 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 address every topic within each section and maintain a clear progression of level. The Practice section is 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. 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 From Campus to Careers features that highlight vocations requiring a variety of mathematics 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. Furthermore, the Cumulative Reviews cross-reference back to the section from which the problem comes providing easy reference for students.
  • 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.
  • 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.
  • Combining the best of traditional and reform approaches, INTRODUCTORY ALGEBRA, Fifth 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

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1. AN INTRODUCTION TO ALGEBRA.
1.1 The Language of Algebra. 1.2 Fractions. 1.3 The Real Numbers. 1.4 Adding Real Numbers; Properties of Addition. 1.5 Subtracting Real Numbers. 1.6 Multiplying and Dividing Real Numbers; Multiplication and Division Properties. 1.7 Exponents and Order of Operations. 1.8 Algebraic Expressions. 1.9 Simplifying Algebraic Expressions Using Properties of Real Numbers. Chapter Summary and Review. Chapter Test.
2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING.
2.1 Solving Equations Using Properties of Equality. 2.2 More about Solving Equations. 2.3 Applications of Percent. 2.4 Formulas. 2.5 Problem Solving. 2.6 More about Problem Solving. 2.7 Solving Inequalities. Chapter Summary and Review. Chapter Test. Cumulative Review.
3. GRAPHS, LINEAR EQUATIONS, AND INEQUALITIES IN TWO VARIABLES; FUNCTIONS.
3.1 Graphing Using the Rectangular Coordinate System. 3.2 Equations Containing Two Variables. 3.3 Graphing Linear Equations. 3.4 Rate of Change and the Slope of a Line. 3.5 Slope-Intercept Form. 3.6 Point-Slope Form; Writing Equations. 3.7 Graphing Linear Inequalities. 3.8 Functions. Chapter Summary and Review. Chapter Test. Cumulative Review.
4. SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES.
4.1 Solving Systems of Equations by Graphing. 4.2 Solving Systems of Equations by Substitution. 4.3 Solving Systems of Equations by Addition (Elimination). 4.4 Problem Solving Using Systems of Equations. 4.5 Solving Systems of Linear Inequalities. Chapter Summary and Review. Chapter Test. Cumulative Review.
5. EXPONENTS AND POLYNOMIALS.
5.1 Natural-Number Exponents; Rules for Exponents. 5.2 Zero and Negative Integer Exponents. 5.3 Scientific Notation. 5.4 Polynomials. 5.5 Adding and Subtracting Polynomials. 5.6 Multiplying Polynomials. 5.7 Dividing Polynomials by Monomials. 5.8 Dividing Polynomials by Polynomials. Chapter Summary and Review. Chapter Test. Cumulative Review.
6. FACTORING AND QUADRATIC EQUATIONS.
6.1 The Greatest Common Factor; Factoring by Grouping. 6.2 Factoring Trinomials of the Form _x_2 + _bx_ + _c_. 6.3 Factoring Trinomials of the Form _ax_2 + _bx_ + _c_. 6.4 Factoring Perfect-Square Trinomials and the Difference of Two Squares. 6.5 Factoring the Sum and Difference of Two Cubes. 6.6 A Factoring Strategy. 6.7 Solving Quadratic Equations bu Factoring. 6.8 Applications of Quadratic Equations. Chapter Summary and Review. Chapter Test. Cumulative Review.
7. RATIONAL EXPRESSIONS AND EQUATIONS.
7.1 Simplifying Rational Expressions. 7.2 Multiplying and Dividing Rational Expressions. 7.3 Adding and Subtracting with Like Denominators; Least Common Denominators. 7.4 Adding and Subtracting with Unlike Denominators. 7.5 Simplifying Complex Fractions. 7.6 Solving Rational Equations. 7.7 Problem Solving Using Rational Equations. 7.8 Proportions and Similar Triangles. 7.9 Variation. Chapter Summary and Review. Chapter Test. Cumulative Review.
8. ROOTS AND RADICALS.
8.1 Square Roots. 8.2 Higher-Order Roots; Radicands That Contain Variables. 8.3 Simplifying Radical Expressions. 8.4 Adding and Subtracting Radical Expressions. 8.5 Multiplying and Dividing Radical Expressions. 8.6 Solving Radical Equations; the Distance Formula. 8.7 Rational Exponents. Chapter Summary and Review. Chapter Test. Cumulative Review.
9. QUADRATIC EQUATIONS.
9.1 Solving Quadratic Equations: The Square Root Property. 9.2 Solving Quadratic Equations: Completing the Square. 9.3 Solving Quadratic Equations: The Quadratic Formula. 9.4 Graphing Quadratic Equations. 9.5 Complex Numbers. Chapter Summary and Review. Chapter Test. Cumulative Review. Appendix 1 Statistics. Appendix 2 Roots and Powers.

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Each WebAssign online product offers the full textbook combined with a flexible and fully customizable online instructional assignments and tools.

Cengage provides a seamless user experience for Learning Management Systems (LMS) integration. Please contact your Cengage Learning Consultant for ordering information and visit our Learning Management System Integration web page on WebAssign for general information.

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  • ISBN-10: 1337773433
  • ISBN-13: 9781337773430
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  • ISBN-10: 1305334108
  • ISBN-13: 9781305334106
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  • ISBN-10: 1285429575
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Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

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WebAssign Instant Access for Tussy/Koenig's Introductory Algebra, Single-Term

ISBN: 9781337773430
WebAssign for Introductory Algebra is a flexible and fully customizable online instructional solution that puts powerful tools in the hands of instructors, enabling you to deploy assignments, instantly assess individual student and class performance and help your students master the course concepts. Enrich the teaching and learning experience with the superior content within the powerful digital platform of WebAssign. Tailor your course with a wide range of assignment settings, the ability to add your own questions and content, analytics at the individual and course level and student/teacher communication tools.