Professional

Intermediate Algebra: A Guided Approach, 10th Edition

  • Rosemary Karr Collin County Community College
  • Marilyn Massey Collin County Community College
  • R. David Gustafson Rock Valley College (Emeritus)
  • ISBN-10: 1435462505  |  ISBN-13: 9781435462502
  • 896 Pages
  • Previous Editions: 2011, 2008, 2005
  • © 2015 | Published
  • List Price = $ 320.95
  • For quantity discounts, Contact your Representative
  • For single copy purchases, visit CengageBrain.com

About

Overview

The new edition of INTERMEDIATE ALGEBRA is an exciting and innovative revision that takes an already successful text and makes it more compelling for today's instructor and student. The authors have developed a learning plan to help students succeed in Intermediate Algebra and transition to the next level in their coursework. Based on their years of experience in developmental education, the accessible approach builds upon the book's known clear writing and engaging style which teaches students to develop problem-solving skills and strategies that they can use in their everyday lives. The authors have developed an acute awareness of students' approach to homework and present a learning plan keyed to Learning Objectives and supported by a comprehensive range of exercise sets that reinforces the material that students have learned setting the stage for their success.

Features and Benefits

  • The design incorporates a tabular structure identifying features that guide students through the textbook, providing for increased readability.
  • Chapter Openers showcase the many career paths available in the world of mathematics and include a brief overview of each career, as well as job outlook, growth and annual earnings potential statistics from the U.S. Department of Labor.
  • Reach for Success highlights study skills and is featured at the beginning and end of each chapter. This feature is designed as an activity to help the student prepare for a successful semester.
  • Learning Objectives at the beginning of each section are mapped to content, as well as to exercises in the Guided Practice section, helping students identify specific concepts that may need reinforcement, and helping instructors tie problems to objectives and their own learning outcomes.
  • Section vocabulary feature help students speak the language of mathematics. Not only are vocabulary words identified at the beginning of each section, these words are also bolded within the section. Exercises include questions on the vocabulary words, and a glossary has been developed to facilitate the students' reference to these words.
  • Getting Ready questions appear at the beginning of each section, linking past concepts to the upcoming material.
  • Examples are worked out in each chapter, highlighting the concept being discussed. "Notes" in many of the text's examples, give students insight into the process adopted when approaching a problem and working toward a solution. Each Example also ends with a Self Check problem, so that students may immediately apply concepts.
  • The Now Try This feature at the end of each section focuses on developing transitional group-work exercises and increase conceptual understanding through active classroom participation. These problems can be worked independently or in small groups and transition to exercises in the following section.
  • The Exercise Sets at the end of each section help transition students through progressively more difficult homework problems. Students are initially asked to work quick, simple problems on their own, proceed to working exercises keyed to examples, and finally complete application and critical thinking questions on their own. These sets include a variety of problem types, including "Warm Ups," "Review," "Vocabulary and Concept," "Guided Practice," "Additional Practice," "Applications," "Writing About Math," and "Something to Think About."
  • Chapter-ending Projects encourage in-depth exploration and a review of key concepts.
  • The Chapter Review grid presents the material cleanly and simply, giving students an efficient means of reviewing material.
  • Chapter Tests allow students to pinpoint their strengths and challenges with the material.
  • Cumulative Reviews follow the end of chapter material for every even-numbered chapter, and keep students' skills current before moving on to the next topic.
  • Everyday Connections boxes invite students to see how the material is relevant to their lives. These have been updated to more accurately reflect a topic of the selected chapter.
  • Perspectives highlight important mathematicians and connect students to discoveries of the past and their importance to the present.
  • Accent on Technology boxes teach students the calculator skills to prepare them for using these tools in science and business classes, as well as for nonacademic purposes.
  • Comment notations alert students to common errors as well as provide helpful information about the concepts they are learning.
  • Teaching Tips are provided in the margins as interesting historical information, alternate approaches for teaching the material, and class activities.
  • A tear-out Basic Calculator Keystroke Guide has been provided to assist students with their calculator functionality and serves as a quick reference to TI-83, TI-84, and Casio 9750GII calculators.

Table of Contents

1. A REVIEW OF BASIC ALGEBRA.
Reach for Success. The Real Number System. Arithmetic and Properties of Real Numbers. Exponents. Scientific Notation. Solving Linear Equations in One Variable. Using Linear Equations to Solve Applications. More Applications of Linear Equations in One Variable. Projects. Reach for Success Extension. Chapter Review. Chapter Test.
2. GRAPHS, EQUATIONS OF LINES, AND FUNCTIONS.
Reach for Success. Graphing Linear Equations. Slope of a Line. Writing Equations of Lines. Introduction to Functions. Graphing Other Functions. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-2.
3. SYSTEMS OF LINEAR EQUATIONS.
Reach for Success. Solving Systems of Two Linear Equations in Two Variables by Graphing. Solving Systems of Two Linear Equations in Two Variables by Substitution and Elimination (Addition). Solving Systems of Three Linear Equations in Three Variables. Solving Systems of Linear Equations Using Matrices. Solving Systems of Linear Equations Using Determinants. Projects. Reach for Success Extension. Chapter Review. Chapter Test.
4. INEQUALITIES.
Reach for Success. Solving Linear Inequalities in One Variable. Solving Absolute Value Equations and Inequalities in One Variable. Solving Linear Inequalities in Two Variables. Solving Systems if Linear and Quadratic Inequalities in Two Variables by Graphing. Solving Systems Using Linear Programming. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-4.
5. POLYNOMIALS, POLYNOMIAL FUNCTIONS, AND EQUATIONS.
Reach for Success. Polynomial and Polynomial Functions. Adding and Subtracting Polynomials. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. The Difference of Two Squares; the Sum and Difference of Two Cubes. Factoring Trinomials. Summary of Factoring Techniques. Solving Equations by Factoring. Projects. Reach for Success Extension. Chapter Review. Chapter Test.
6. RATIONAL EXPRESSIONS.
Reach for Success. Finding the Domain of Rational Functions and Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Simplifying Complex Fractions. Solving Equations Containing Rational Expressions. Dividing Polynomials. Synthetic Division. Proportion and Variation. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-6.
7. RADICAL EXPRESSIONS AND EQUATIONS.
Reach for Success. Radical Expressions. Applications of the Pythagorean Theorem and the Distance Formula. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying Radical Expressions and Rationalizing. Radical Equations. Complex Numbers. Projects. Reach for Success Extension. Chapter Review. Chapter Test.
8. QUADRATIC EQUATIONS AND FUNCTIONS; INEQUALITIES; AND ALGEBRA, COMPOSITION, AND INVERSES OF FUNCTIONS.
Reach for Success. Solving Quadratic Equations Using the Square-Root Property and by Completing the Square. Solving Quadratic Equations Using the Quadratic Formula. The Discriminant and Equations That Can Be Written in Quadratic Form. Graphs of Quadratic Functions. Quadratic and Other Nonlinear Inequalities. Algebra and Composition of Functions. Inverses of Functions. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-8.
9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Reach for Success. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Natural Logarithms. Properties of Logarithms. Exponential and Logarithmic Equations. Projects. Reach for Success Extension. Chapter Review. Chapter Test.
10. CONIC SECTIONS AND MORE GRAPHING.
Reach for Success. The Circle and the Parabola. The Ellipse. The Hyperbola. Systems Containing Second-Degree Equations. Piecewise-Defined Functions and the Greatest Integer Function. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-10.
11. MISCELLANEOUS TOPICS.
Reach for Success. The Binomial Theorem. Arithmetic Sequences and Series. Geometric Sequences and Series. Infinite Geometric Sequences and Series. Permutations and Combination. Probability. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-11.
APPENDIX 1: SYMMETRIES OF GRAPHS.
APPENDIX 2: SAMPLE FINAL EXAMINATION.
APPENDIX 3: TABLES.
APPENDIX 4: ANSWERS TO SELECTED EXERCISES.

What's New

  • NEW! Reach for Success highlights study skills and is featured at the beginning and end of each chapter. This feature is designed as an activity to help the student prepare for a successful semester.
  • NEW! The Warm Ups have been significantly revised to include skills needed for the development of section concepts.
  • NEW! Self Checks are now included with each Example so that students can check reading comprehension.
  • NEW! A tear-out Basic Calculator Keystroke Guide for the Casio 9750GII has been provided, in addition to the existing TI-83 and TI-84 guide, to assist students with their calculator functionality and to serve as a quick reference.
  • NEW! Additional Teaching Tips have been included at the request of reviewers.

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.

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

ISBN-10: 1305367081 | ISBN-13: 9781305367081

List Price = $326.95  | CengageBrain Price = $326.95


Efficacy and Outcomes

Reviews

"The problem sets are well designed and comprehensive. The pages are well laid out and easy to read. Examples are good."- Kathleen Kane, Community College of Allegheny County- Allegheny Campus

— Kathleen Kane

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: 1285846230 | ISBN-13: 9781285846231)

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

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.

Cengage Learning Testing, powered by Cognero Instant Access  (ISBN-10: 1285978218 | ISBN-13: 9781285978215)

Student Solutions Manual  (ISBN-10: 1285846249 | ISBN-13: 9781285846248)

The Student Solutions Manual provides worked-out solutions to the odd-numbered problems in the textbook.

List Price = $88.95  | CengageBrain Price = $88.95  | College Bookstore Wholesale Price = $67.25

Student Workbook  (ISBN-10: 1285846257 | ISBN-13: 9781285846255)

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

List Price = $47.95  | CengageBrain Price = $47.95  | College Bookstore Wholesale Price = $36.25

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

Student Supplements

Student Solutions Manual  (ISBN-10: 1285846249 | ISBN-13: 9781285846248)

The Student Solutions Manual provides worked-out solutions to the odd-numbered problems in the textbook.

List Price = $88.95  | CengageBrain Price = $88.95  | College Bookstore Wholesale Price = $67.25

Student Workbook  (ISBN-10: 1285846257 | ISBN-13: 9781285846255)

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

List Price = $47.95  | CengageBrain Price = $47.95  | College Bookstore Wholesale Price = $36.25

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

Rosemary Karr

Rosemary Karr graduated from Eastern Kentucky University (EKU) in 1976 with a B.S. in Mathematics, attained her M.A. at EKU in Mathematics Education in 1981, and earned her Ph.D. from the University of North Texas in 1996. After two years teaching high school mathematics, she joined the faculty at Eastern Kentucky University, where she earned tenure as Assistant Professor of Mathematics. A professor of mathematics at Collin College in Plano Texas since 1990, Prof. Karr has written more than ten solutions manuals, presented numerous papers, and been an active member in several educational associations (including President of the National Association for Developmental Education). She has been honored several times by Collin College, and has received such national recognitions as U.S. Professor of the Year (2007), Minnie Stevens Piper Professor (2008), and CLADEA fellow (2012).

Marilyn Massey

Marilyn Massey teaches mathematics at Collin College in McKinney, Texas. She has been President of the Texas Association for Developmental Education, featured on the list of Who's Who among America's Teachers and received an Excellence in Teaching Award from the National Conference for College Teaching and Learning. Professor Massey has presented at numerous state and national conferences; her article “Service-Learning Projects in Data Interpretation” was one of two included from community college instructors for the Mathematical Association of America's publication, Mathematics in Service to the Community. She earned her Bachelor's degree in Secondary Education from the University of North Texas and Master's Degree in the Art of Teaching Mathematics from the University of Texas at Dallas.

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.