Elementary Algebra, 10th Edition

Jerome E. Kaufmann, Karen L. Schwitters

Copyright 2015
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Elementary Algebra 10th Edition by Jerome E. Kaufmann/Karen L. Schwitters

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What's New
Features
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Overview

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.

Meet the Authors

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Jerome E. Kaufmann

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

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.

What's New

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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 reorganization and redistribution of the content from the two chapters Equations and Problem Solving, and Formulas and Problem Solving as requested by reviewers.
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.

Features

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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.
The authors have written Classroom Examples in both student and instructor editions, with answers appearing only in the Annotated Instructor's Edition, so that students will be able to work through the Classroom Examples with their instructor.
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.
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.

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1. SOME BASIC CONCEPTS OF ARITHMETIC AND ALGEBRA.
Numerical and Algebraic Expressions. Prime and Composite Numbers. Integers: Addition and Subtraction. Integers: Multiplication and Division. Use of Properties. Chapter 1 Summary. Chapter 1 Review Problem Set. Chapter 1 Test.
2. REAL NUMBERS.
Rational Numbers: Multiplication and Division. Addition and Subtraction of Rational Numbers. Real Numbers and Algebraic Expressions. Exponents. Translating from English to Algebra. Chapter 2 Summary. Chapter 2 Review Problem Set. Chapter 2 Test. Chapters 1-2 Cumulative Review Problem Set.
3. EQUATIONS AND PROBLEM SOLVING.
Solving First-Degree Equations. Equations and Problem Solving. More on Solving Equations and Problem Solving. Equations Involving Parentheses and Fractional Forms. Problem Solving. Chapter 3 Summary. Chapter 3 Review Problem Set. Chapter 3 Test.
4. PROPORTIONS, PERCENT, AND INEQUALITIES.
Ratios, Proportions, and Percent. Percents and Problem Solving. More on Percents and Problem Solving. Inequalities. Inequalities, Compound Inequalities, and Problem Solving. Chapter 4 Summary. Chapter 4 Review Problem Set. Chapter 4 Test. Chapters 1-4 Cumulative Review Problem Set.
5. EXPONENTS AND POLYNOMIALS.
Addition and Subtraction of Polynomials. Multiplying Monomials. Multiplying Polynomials. Dividing by Monomials. Dividing by Binomials. Integral Exponents and Scientific Notation. Chapter 5 Summary. Chapter 5 Review Problem Set. Chapter 5 Test. Chapters 105 Cumulative Review Problem Set.
6. FACTORING, SOLVING EQUATIONS, AND PROBLEM SOLVING.
Factoring by Using the Distributive Property. Factoring the Difference of Two Squares. Factoring Trinomials of the Form ax^2 + bx + c. Factoring Trinomials of the Form ax^2 + bx + c. Factoring, Solving Equations, and Problem Solving. Chapter 6 Summary. Chapter 6 Review Problem Set. Chapter 6 Test.
7. ALGEBRAIC FRACTIONS.
Simplifying Algebraic Fractions. Multiplying and Dividing Algebraic Fractions. Adding and Subtracting Algebraic Fractions. Addition and Subtraction of Algebraic Fractions and Simplifying Complex Fractions. Fractional Equations and Problem Solving. More Fractional Equations and Problem Solving. Chapter 7 Summary. Chapter 7 Review Problem Set. Chapter 7 Test. Chapters 1-7 Cumulative Review Problem Set.
8. COORDINATE GEOMETRY AND LINEAR SYSTEMS.
Cartesian and Coordinate System. Graphing Linear Equations. Slope of a Line. Writing Equations of Lines. Systems of Two Linear Equations. Elimination-by-Addition Method. Chapter 8 Summary. Chapter 8 Review Problem Set. Chapter 8 Test.
9. ROOTS AND RADICALS.
Roots and Radicals. Simplifying Radicals. More on Simplifying Radicals. Products and Quotients Involving Radicals. Solving Radical Equations. Chapter 9 Summary. Chapter 9 Review Problem Set. Chapter 9 Test. Chapters 1-9 Cumulative Review Problem Set.
10. QUADRATIC EQUATIONS.
Quadratic Equations. Completing the Square. Quadratic Formula. Solving Quadratic Equations—Which Method?. Solving Problems Using Quadratic Equations. Chapter 10 Summary. Chapter 10 Review Problem Set. Chapter 10 Test.
11. ADDITIONAL TOPICS.
Equations and Inequalities Involving Absolute Value. 3 X 3 Systems of Equations. Fractional Exponents. Complex Numbers. Quadratic Equations: Complex Solutions. Pie, Bar, and Line Graphs. Relations and Functions. Applications of Functions. Chapter 11 Summary. Chapter 11 Review Problem Set. Chapter 11 Test.
APPENDIX A EXTRA WORD PROBLEMS. ANSWER SECTION. INDEX.