Elementary Algebra

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Overview

ELEMENTARY ALGEBRA offers a practical approach to the study of beginning algebra concepts, consistent with the needs of today's student. The authors place special emphasis on the worked examples in each section, treating them as the primary means of instruction, since students rely so heavily on examples to complete assignments. Many of the applications (both within the examples and exercises) are also uniquely designed so that students have an experience that is more true to life—students must read information as it appears in headline news sources and extract only the relevant information needed to solve a stated problem. This promotes the text's focus on developing better study habits, problem solving and critical thinking skills along with orienting students to think and reason mathematically. Through Elementary Algebra, students will not only be better prepared for future math courses, they will be better prepared to solve problems and answer questions they encounter in their own lives. Available with InfoTrac Student Collections http://gocengage.com/infotrac.

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Editorial Reviews

From the Publisher
"The text effectively covers the skills traditionally found in a developmental algebra book with the added emphasis on problem solving. I appreciate the inclusion of graphing calculator aids without requiring them. The writing style and level are appropriate for a developmental math student. This text fits my own philosophy of developmental mathematics education quite well."

"I love [the Find the Mistake end-of-section questions]. I have used such in my own classes many times. They are surprisingly hard to write and [I] would definitely assign them to my students."

"The authors' approach is definitely obvious in the text. Problem solving is clearly a focus, and the variety of applications is immediately evident. The fact that the applications include excerpts from current research and reports provides the real-life context that the author's desire as well as increasing student interest and the number of problems with extraneous information will force students to read carefully for important information. These problems do not appear periodically; they are intentional and consistent. The Problem Solving Practice and Review (Mixed Applications) demonstrates the authors' desire to provide opportunities for students to think about problems, not merely follow a formulaic problem type. The extra support for students is also carried out through the entire text. The examples continue to show all steps in later chapters as thoroughly as they do in the early ones."

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Product Details

  • ISBN-13: 9780618951345
  • Publisher: Cengage Learning
  • Publication date: 2/12/2013
  • Series: Explore Our New Mathematics 1st Editions Series
  • Edition description: New Edition
  • Pages: 752
  • Sales rank: 1,249,911
  • Product dimensions: 8.80 (w) x 10.90 (h) x 1.10 (d)

Meet the Author

Laura Bracken, co-author of Investigating Prealgebra and Investigating Basic College Mathematics, teaches developmental mathematics at Lewis-Clark State College. As developmental math coordinator, Laura led the process of developing objectives, standardizing assessments, and enforcing placement including a mastery skill quiz program. She has worked collaboratively with science faculty to make connections between developmental math and introductory science courses. Laura has presented at numerous national and regional conferences and currently serves as the regional representative for the AMATYC Placement and Assessment Committee. Her blog, Dev Math Diary, is at http://devmathdiary.wordpress.com/.

Ed Miller is a professor of mathematics at Lewis-Clark State College. He earned his PhD in general topology at Ohio University in 1989. He teaches a wide range of courses, including elementary and intermediate algebra. His terms as chair of the General Education Committee, the Curriculum Committee, and the Division of Natural Sciences and Mathematics have spurred him to look at courses as part of an integrated whole rather than discrete units. A regular presenter at national and regional meetings, Ed is exploring the use of multiple choice questions as a teaching tool as well as an assessment tool.

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Table of Contents

R. ARITHMETIC REVIEW. Pretest. Evaluating Expressions and the Order of Operations. Signed Numbers. Fractions. Decimal Numbers, Percent, and Order of Operations. Study Plan for Review of Chapter R. Post Test. 1. THE REAL NUMBERS. Chapter Introduction: Success in College Mathematics—The Culture of College. The Real Numbers. Variables and Algebraic Expressions. Problem Solving with Percent. Units of Measurement and Formulas. Irrational Numbers and Roots. Study Plan for Review of Chapter 1. Chapter Test. 2. SOLVING EQUATIONS AND INEQUALITIES. Chapter Introduction: Success in College Mathematics—Time Management. The Properties of Equality. More Equations in One Variable. Variables on Both Sides. Solving an Equation for a Variable. Inequalities in One Variable. Study Plan for Review of Chapter 2. Chapter Test. 3. LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES. Chapter Introduction: Success in College Mathematics—Learning Preferences. Ordered Pairs and Solutions of Linear Equations. Standard Form and Graphing with Intercepts. Average Rate of Change and Slope. Slope Intercept Form. Point-Slope Form and Writing the Equation of a Line. Linear Inequalities in Two Variables. Relations and Functions. Study Plan for Review of Chapter 3. Chapter Test. Cumulative Reviews Chapters 1-3. 4. SYSTEMS OF EQUATIONS AND INEQUALITIES. Chapter Introduction: Success in College Mathematics—Using Your Textbook. Systems of Linear Equations. The Substitution Method. The Elimination Method. More Applications. Systems of Linear Inequalities. Study Plan for Review of Chapter 4. Chapter Test. 5. EXPONENTS AND POLYNOMIALS. Chapter Introduction: Success in College Mathematics—Taking and Using Notes. Exponential Expressions and the Exponent Rules. Scientific Notation. Introduction to Polynomials. Multiplication of Polynomials. Division of Polynomials. Study Plan for Review of Chapter 5. Chapter Test. 6. FACTORING POLYNOMIALS. Chapter Introduction: Success in College Mathematics—Learning from Tests and Quizzes. Introduction to Factoring. Factoring Trinomials. Patterns. Factoring Completely. The Zero Product Property. Study Plan for Review of Chapter 6. Chapter Test. Cumulative Review Chapters 4-6. 7. RATIONAL EXPRESSIONS AND EQUATIONS. Chapter Introduction: Success in College Mathematics—Math Anxiety. Simplifying Rational Expressions. Multiplication and Division of Rational Expressions. Combining Rational Expressions with the Same Denominator. Combining Rational Expressions with Different Denominators. Complex Rational Expressions. Rational Equations and Proportions. Variation. Study Plan for Review of Chapter 7. Chapter Test. 8. RADICAL EXPRESSIONS AND EQUATIONS. Chapter Introduction: Success in College Mathematics—-Learning from Tutors. Square Roots. Adding and Subtracting Square Roots. Multiplying Square Roots. Dividing Square Roots and Rationalizing Denominators. Radical Equations. Higher Index Radicals and Rational Exponents. Study Plan for Review of Chapter 8. Chapter Test. 9. QUADRATIC EQUATIONS. Chapter Introduction: Success in College Mathematics—Studying for Final Exams. Quadratic Equations in One Variable. Completing the Square. The Quadratic Formula. Quadratic Equations with Non-Real solutions. Quadratic Equations in the Form _y_ = _ax_^2 + _bx_ + _c_. Study Plan for Review of Chapter 9. Chapter Test. Cumulative Review Chapters 7-9. Cumulative Review Chapters 1-9. APPENDIX. 1. Reasonability and Problem Solving. 2. Deriving the Quadratic Formula.

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