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Algebra for College Students 10th Edition

Jerome E. Kaufmann, Karen L. Schwitters

  • Published
  • Previous Editions 2011, 2007, 2004
  • 864 Pages
Starting At 82.00 See pricing and ISBN options


Kaufmann and Schwitters have built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; practice the skill to help solve equations; and then apply what you have learned to solve application problems. This simple, straightforward approach has helped many students grasp and apply fundamental problem solving skills necessary for future mathematics courses. Algebraic ideas are developed in a logical sequence, and in an easy-to-read manner, without excessive vocabulary and formalism. The open and uncluttered design helps keep students focused on the concepts while minimizing distractions. Problems and examples reference a broad range of topics, as well as career areas such as electronics, mechanics, and health, showing students that mathematics is part of everyday life. The text's resource package—anchored by Enhanced WebAssign, an online homework management tool—saves instructors time while also providing additional help and skill-building practice for students outside of class.

Jerome E. Kaufmann, Western Illinois University (Retired)

Jerome E. Kaufmann received his Ed.D. in Mathematics Education from the University of Virginia. Now a retired Professor of Mathematics from Western Illinois University, he has more than 30 years of teaching experience at the high school, two-year, and four-year college levels. He is the author of 45 college mathematics textbooks.

Karen L. Schwitters, Seminole Community College

Karen L. Schwitters graduated from the University of Wisconsin with a B.S. in Mathematics. She earned an M.S. Ed. in Professional Secondary Education from Northern Illinois University. Schwitters is currently teaching at Seminole Community College in Sanford, Florida, where she is very active in multimedia instruction and is involved in planning distance learning courses with multimedia materials. She is an advocate for Enhanced WebAssign and uses it in her classroom. In 1998, she received the Innovative Excellence in Teaching, Learning, and Technology Award.
  • NEW Study Skill Tips appear at the beginning of each chapter to encourage best study practices throughout the course. A thought-provoking question related to the presented Study Skill Tip encourages students to think more about their current study habits or their past experiences with math.
  • NEW section 0.1 has been added to provide as an opportunity for students to review fractions so that they are prepared for the intermediate algebra course. Mastery Sets appear throughout the section to help students gauge how well they know the content presented.
  • NEW Sample Problems have been added to the each Objective in the Chapter Summary. Sample Problems provide students an opportunity to try problems similar to the presented Examples for each Objective.
  • NEW Apply Your Skill Examples present real-life applications so students can see the relevance of math in everyday life.
  • Further Investigations are included in many of the problem sets. These problems offer more challenging exercises and lend themselves to small group work. They also provide the instructor with flexibility in incorporating advanced mathematical topics depending on specific course needs.
  • The grid format of the Chapter Summaries makes reviewing fast and easy.
  • Chapter Review Problem Sets give students additional practice of previously learned concepts.
  • Appearing at the end of the chapter, Chapter Tests provide students with ample preparation and practice for "real" tests.
  • Cumulative Review problem sets help students remember skills that were introduced earlier.
  • The back of the text provides answers to Chapter Review Problem Sets, Chapter Tests, Cumulative Review Problem Sets, Appendix B Problems, and the odd-numbered homework exercises.
  • Kaufmann/Schwitters' straightforward, 3-step problem-solving approach is introduced and reinforced throughout the textbook. The steps are: learn the algebraic skill; use the skill to help solve equations; apply the skill to solve the application problem.
  • Learning Objectives can be found at the beginning of each section and are mapped to the Problem Sets and the Chapter Summary.
  • Made up of predominately true/false questions, a Concept Quiz immediately precedes the problem set in each section and allows students to check their understanding of the mathematical concepts and definitions introduced in the section before moving on to their homework.
  • Problem Sets, a focal point of every revision, contain a wide variety of skill-development exercises. Problems have been added, deleted, and reworded based on users' suggestions.
  • Thoughts Into Words problems are included in every end-of-section problem set. These problems are designed to give students an opportunity to express in written form their thoughts about various mathematical ideas.
1.0 Review of Fractions. 1.1 Sets, Real Numbers, and Numerical Expressions. 1.2 Operations with Real Numbers. 1.3 Properties of Real Numbers and the Use of Exponents. 1.4 Algebraic Expressions. Chapter 1 Summary. Chapter 1 Review Problem Set. Chapter 1 Test.
2.1 Solving First-Degree Equations. 2.2 Equations Involving Fractional Forms. 2.3 Equations Involving Decimals and Problem Solving. 2.4 Formulas. 2.5 Inequalities. 2.6 More on Inequalities and Problem Solving. 2.7 Equations and Inequalities Involving Absolute Value. Chapter 2 Summary. Chapter 2 Review Problem Set. Chapter 2 Test. Chapters 1-2 Cumulative Test.
3.1 Polynomials: Sums and Differences. 3.2 Products and Quotients of Monomials. 3.3 Multiplying Polynomials. 3.4 Factoring: Greatest Common Factor and Common Binomial Factor. 3.5 Factoring: Difference of Two Squares and Sum or Difference of Two Cubes. 3.6 Factoring Trinomials. 3.7 Equations and Problem Solving. Chapter 3 Summary. Chapter 3 Review Problem Set. Chapter 3 Test.
4.1 Simplifying Rational Expressions. 4.2 Multiplying and Dividing Rational Expressions. 4.3 Adding and Subtracting Rational Expressions. 4.4 More on Rational Expressions and Complex Fractions. 4.5 Dividing Polynomials. 4.6 Fractional Equations. 4.7 More Fractional Equations and Applications. Chapter 4 Summary. Chapter 4 Review Problem Set. Chapter 4 Test. Chapters 1-4 Cumulative Review Problem Set.
5.1 Using Integers as Exponents. 5.2 Roots and Radicals. 5.3 Combining Radicals and Simplifying Radicals That Contain Variables. 5.4 Products and Quotients Involving Radicals. 5.5 Equations Involving Radicals. 5.6 Merging Exponents and Roots. 5.7 Scientific Notation. Chapter 5 Summary. Chapter 5 Review Problem Set. Chapter 5 Test.
6.1 Complex Numbers. 6.2 Quadratic Equations. 6.3 Completing the Square. 6.4 Quadratic Formula. 6.5 More Quadratic Equations and Applications. 6.6 Quadratic and Other Nonlinear Inequalities. Chapter 6 Summary. Chapter 6 Review Problem Set. Chapter 6 Test. Chapters 1-6 Cumulative Review Problem Set.
7.1 Rectangular Coordinate System and Linear Equations. 7.2 Linear Inequalities in Two Variables. 7.3 Distance and Slope. 7.4 Determining the Equation of a Line. 7.5 Graphing Nonlinear Equations. Chapter 7 Summary. Chapter 7 Review Problem Set. Chapter 7 Test.
8.1 Concept of a Function. 8.2 Linear Functions and Applications. 8.3 Quadratic Functions. 8.4 More Quadratic Functions and Applications. 8.5 Transformations and Some Basic Curves. 8.6 Combining Functions. 8.7 Direct and Inverse Variation. Chapter 8 Summary. Chapter 8 Review Problem Set. Chapter 8 Test. Chapters 1-8 Cumulative Review Problem Set.
9.1 Synthetic Division. 9.2 Remainder and Factor Theorems. 9.3 Polynomial Equations. 9.4 Graphing Polynomial Functions. 9.5 Graphing Rational Functions. 9.6 More on Graphing Rational Functions. Chapter 9 Summary. Chapter 9 Review Problem Set. Chapter 9 Test.
10.1 Exponents and Exponential Functions. 10.2 Applications of Exponential Functions. 10.3 Inverse Functions. 10.4 Logarithms. 10.5 Logarithmic Functions. 10.6 Exponential Equations, Logarithmic Equations, and Problem Solving. Chapter 10 Summary. Chapter 10 Review Problem Set. Chapter 10 Test. Chapters 1-10 Cumulative Review Problem Set.
11.1 Systems of Two Linear Equations in Two Variables. 11.2 Systems of Three Linear Equations in Three Variables. 11.3 Matrix Approach to Solving Linear Systems. 11.4 Determinants. 11.5 Cramer''s Rule. 11.6 Partial Fractions (Optional). Chapter 11 Summary. Chapter 11 Review Problem Set. Chapter 11 Test.
12.1 Algebra of 2 X 2 Matrices. 12.2 Multiplicative Inverses. 12.3 _m_ X _n_ Matrices. 12.4 Systems of Linear Inequalities: Linear Programming. Chapter 12 Summary. Chapter 12 Review Problem Set. Chapter 12 Test. Chapters 1-12 Cumulative Review Problem Set.
13.1 Circles. 13.2 Parabolas. 13.3 Ellipses. 13.4 Hyperbolas. 13.5 Systems Involving Nonlinear Equations. Chapter 13 Summary. Chapter 13 Review Problem Set. Chapter 13 Test.
14.1 Arithmetic Sequences. 14.2 Geometric Sequences. 14.3 Another Look at Problem Solving. 14.4 Mathematical Induction. Chapter 14 Summary. Chapter 14 Review Problem Set. Chapter 14 Test.
Appendix A: Prime Numbers and Operations with Fractions.
Appendix B: Binomial Theorem.
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"We currently use this text and LOVE IT! It is very appropriate for our students. We do not hear complaints that the text is too difficult to understand/read/comprehend." - Stacey Moore, Wallace State Community College- Hanceville

"It's a very nice text that is instructor-friendly. It's easy to use in the classroom - the classroom examples are priceless. WebAssign is very nice with this. Also, it's full of examples and exercises - it's the best Algebra for College Students text I've seen." -Stacey Ernstberger, LaGrange College

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.


Instructor's Resource Binder

ISBN: 9781305084537

Complete Solutions Manual

ISBN: 9781285863955
The Complete Solutions Manual provides worked-out solutions to all of the problems in the text.

Solutions Builder

ISBN: 9781285864006
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

Cengage Learning Testing, powered by Cognero Instant Access

ISBN: 9781285978789

Student Solutions Manual

ISBN: 9781285863979
The Student Solutions Manual provides worked-out solutions to the odd-numbered problems in the text.

Student Workbook

ISBN: 9781285864044
NEW! 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.


Student Solutions Manual

ISBN: 9781285863979
The Student Solutions Manual provides worked-out solutions to the odd-numbered problems in the text.

Student Workbook

ISBN: 9781285864044
NEW! 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.