About the book |
Elementary Algebra, 6e is part of the latest offerings in the successful Dugopolski series in mathematics. The author’s goal is to explain mathematical concepts to students in a language they can understand. In this book, students and faculty will find short, precise explanations of terms and concepts written in understandable language. The author uses concrete analogies to relate math to everyday experiences. For example, when the author introduces the Commutative Property of Addition, he uses a concrete analogy that “the price of a hamburger plus a Coke is the same as a Coke plus a hamburger”. Given the importance of examples within a math book, the author has paid close attention to the most important details for solving the given topic. Dugopolski includes a double cross-referencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other. Finally, the author finds it important to not only provide quality, but also a good quantity of exercises and applications. The Dugopolski series is known for providing students and faculty with the most quantity and quality of exercises as compared to any other developmental math series on the market. In completing this revision, Dugopolski feels he has developed the clearest and most concise developmental math series on the market, and he has done so without comprising the essential information every student needs to become successful in future mathematics courses. The book can be accompanied by numerous useful supplements, including McGraw-Hill’s online homework management system, MathZone, which can be purchased separately. |
Key features |
-Calculator Close-Ups Located in the margin, this feature gives your students an idea of how and when to use a graphing calculator. Some Calculator Close-Ups simply introduce the features of a graphing calculator, where others enhance understanding of algebraic concepts. For this reason, many of the Calculator Close-Ups will benefit even those students who do not use a graphing calculator. -Study Tips - Two study tips now precede each exercise set. -Helpful Hints are short comments located in the margin that enhance the material in the text, provide another way of approaching a problem, or clear up misconceptions. -Warm-up Exercises: Located at the end of every section, these exercises are a set of ten simple statements that are to be answered true or false. These exercises are designed to provide a smooth transition between the ideas and the exercise sets. They help your students understand that every statement in mathematics is either true or false. They are also good for discussion or group work. -Simple Reading & Writing Exercises: Located in every section, these exercises appear in the exercise sets. The exercises are designed to get your students to review the definitions and rules of the section before doing more traditional exercises. For example, your student might be simply asked what properties of equality were discussed in this section. -Wrap-up: Located at the end of every chapter, the Wrap-Up includes the following - -The Chapter Summary lists important concepts along with brief illustrative examples. -Enriching Your Mathematical Word Power appears at the end of each chapter and consists of multiple choice questions in which the important terms are to be matched with their meanings. This feature emphasizes the importance of proper terminology. -The Review Exercises contain problems that are keyed to the sections of the chapter as well as numerous miscellaneous exercises. -The Chapter Test is designed to help your student assess his or her readiness for a test. The Chapter Test has no keyed exercises, thus enabling the student to work independently of the sections and examples. -Making Connections Exercises: Located at the end of each chapter, this feature is designed to help your students review and synthesize the new material with ideas from previous chapters, and in some cases, review material necessary for success in the upcoming chapter. Every Making Connections exercise set includes at least one applied exercise that requires ideas from one or more of the previous chapters. |
About the author |
Mark Dugopolski Mark Dugopolski was born and raised in Menominee, Michigan. He received a degree in mathematics education from Michigan State University and then taught high school mathematics in the Chicago area. While teaching high school, he received a master's degree in mathematics from Northern Illinois University. He then entered a doctoral program in mathematics at the University of Illinois in Champaign, where he earned his doctorate in topology in 1977. He was then appointed to the faculty at Southeastern Louisiana University, where he now holds the position of professor of mathematics. He has taught high school and college mathematics for over 30 years. He is a member of the MAA, the AMS, and the AMATYC. He has written many articles and mathematics textbooks. He has a wife and two daughters. When he is not working, he enjoys hiking, bicycling, jogging, tennis, fishing, and motorcycling. |
Table of contents |
TO THE STUDENT PREFACE 1 Real Numbers and Their Properties 1.1 The Real Numbers 1.2 Fractions 1.3 Addition and Subtraction of Real Numbers 1.4 Multiplication and Division of Real Numbers 1.5 Exponential Expressions and the Order of Operations 1.6 Algebraic Expressions 1.7 Properties of the Real Numbers 1.8 Using the Properties to Simplify Expressions Chapter 1 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 1 Test • Critical Thinking 2 Linear Equations and Inequalities in One Variable 2 .1 The Addition and Multiplication Properties of Equality 2.2 Solving General Linear Equations 2.3 More Equations 2.4 Formulas 2.5 Translating Verbal Expressions into Algebraic Expressions 2.6 Number, Geometric, and Uniform Motion Applications 2.7 Discount, Investment, and Mixture Applications 2.8 Inequalities 2.9 Solving Inequalities and Applications Chapter 2 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 2 Test • Making Connections: A review of Chapters 1-2 • Critical Thinking 3 Linear Equations in Two Variables and Their Graphs 3.1 Graphing Lines in the Coordinate Plane 3.2 Slope 3.3 Equations of Lines in Slope-Intercept Form 3.4 The Point-Slope Form 3.5 Variations Chapter 3 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 3 Test • Making Connections: a review of Chapters 1-3 • Critical Thinking 4 Systems of Linear Equations and Inequalities 4.1 The Graphing Method 4.2 The Substitution Method 4.3 The Addition Method 4.4 Graphing Linear Inequalities in Two Variables 4.5 Graphing Systems of Linear Inequalities Chapter 4 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 4 Test • Making Connections: a review of Chapters 1-4 • Critical Thinking 5 Exponents and Polynomials 5.1 The Rules of Exponents 5.2 Negative Exponents and Scientific Notation 5.3 Addition and Subtraction of Polynomials 5.4 Multiplication of Polynomials 5.5 Multiplication of Binomials 5.6 Special Products 5.7 Division of Polynomials Chapter 5 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 5 Test • Making Connections: a review of Chapters 1-5 • Critical Thinking 6 Factoring 6.1 Factoring Out Common Factors 6.2 Special Products and Grouping 6.3 Factoring the Trinomial ax² + bx + c with a = 1 6.4 Factoring the Trinomial ax² + bx + c with a ' 1 6.5 The Factoring Strategy 6.6 Solving Quadratic Equations by Factoring Chapter 6 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 6 Test • Making Connections: a review of Chapters 1-6 • Critical Thinking 7 Rational Expressions 7.1 Reducing Rational Expressions 7.2 Multiplication and Division 7.3 Finding the Least Common Denominator 7.4 Addition and Subtraction 7.5 Complex Fractions 7.6 Solving Equations with Rational Expressions 7.7 Applications of Ratios and Proportions 7.8 Applications of Rational Expressions Chapter 7 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 7 Test • Making Connections: a review of Chapters 1-7 • Critical Thinking 8 Powers and Roots 8.1 Roots, Radicals, and Rules 8.2 Simplifying Square Roots 8.3 Operations with Radicals 8.4 Solving Equations with Radicals and Exponents 8.5 Fractional Exponents Chapter 8 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 8 Test • Making Connections: a review of Chapters 1-8 • Critical Thinking 9 Quadratic Equations, Parabolas, and Functions 9.1 The Square Root Property and Factoring 9.2 Completing the Square 9.3 The Quadratic Formula 9.4 Applications of Quadratic Equations 9.5 Complex Numbers 9.6 Graphing Parabolas 9.7 Introduction to Functions 9.8 Combining Functions Chapter 9 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 9 Test • Making Connections: a review of Chapters 1-9 • Critical Thinking Appendix A: Geometry Review Exercises Appendix B: Sets Appendix C: Final Exam Review Answers to Selected Exercises Index |