Elementary Algebra

by Dugopolski, Mark

• ISBN13: 9780077224790
• ISBN10: 0077224795
• Edition: 6th
• Format: Hardcover
• Copyright: 2008-01-10
• Publisher: McGraw-Hill Education

Summary

Elementary Algebra, 6eis 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 is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone.

Table of Contents

To the student preface

Real Numbers and Their Properties

The Real Numbers

Fractions

Addition and Subtraction of Real Numbers

Multiplication and Division of Real Numbers

Exponential Expressions and the Order of Operations

Algebraic Expressions

Properties of the Real Numbers

Using the Properties to Simplify Expressions

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •

Test • Critical Thinking

Linear Equations and Inequalities in One Variable2 .1 The Addition and Multiplication Properties of Equality

Solving General Linear Equations

More Equations

Formulas

Translating Verbal Expressions into Algebraic Expressions

Number, Geometric, and Uniform Motion Applications

Discount, Investment, and Mixture Applications

Inequalities

Solving Inequalities and Applications

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •

Test • Making Connections

A review of Chapters 1-2 • Critical Thinking

Linear Equations in Two Variables and Their Graphs

Graphing Lines in the Coordinate Plane

Slope

Equations of Lines in Slope-Intercept Form

The Point-Slope Form

Variations

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •

Test • Making Connections

a review of Chapters 1-3 • Critical Thinking

Systems of Linear Equations and Inequalities

The Graphing Method

The Substitution Method

The Addition Method

Graphing Linear Inequalities in Two Variables

Graphing Systems of Linear Inequalities

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •

Test • Making Connections

a review of Chapters 1-4 • Critical Thinking

Exponents and Polynomials

The Rules of Exponents

Negative Exponents and Scientific Notation

Addition and Subtraction of Polynomials

Multiplication of Polynomials

Multiplication of Binomials

Special Products

Division of Polynomials

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •

Test • Making Connections

a review of Chapters 1-5 • Critical Thinking

Factoring

Factoring Out Common Factors

Special Products and Grouping

Factoring the Trinomial ax² + bx + c with a = 1

Factoring the Trinomial ax² + bx + c with a ¿ 1

The Factoring Strategy

Solving Quadratic Equations by Factoring

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •

Test • Making Connections

a review of Chapters 1-6 • Critical Thinking

Rational Expressions

Reducing Rational Expressions

Multiplication and Division

Finding the Least Common Denominator

Addition and Subtraction

Complex Fractions

Solving Equations with Rational Expressions

Applications of Ratios and Proportions

Applications of Rational Expressions

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •

Test • Making Connections

a review of Chapters 1-7 • Critical Thinking

Powers and Roots

Roots, Radicals, and Rules

Simplifying Square Roots

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