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# Elementary and Intermediate Algebra

**by**Dugopolski, Mark

3rd

### 9780077224820

0077224825

Hardcover

1/9/2008

McGraw-Hill Science/Engineering/Math

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## Related Products

## Summary

Elementary & Intermediate Algebra, 3eis 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 Variable | |

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 and Inequalities in Two Variables | |

Graphing Lines in the Coordinate Plane | |

Slope | |

Equations of Lines in Slope-Intercept Form | |

The Point-Slope Form | |

Variations | |

Graphing Linear Inequalities in Two Variables | |

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

Test • Making Connections | |

a review of Chapters 1-3 • 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 1-4 • 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 1-5 • 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 1-6 • Critical Thinking | |

Systems of Linear Equations | |

Solving Systems by Graphing and Substitution | |

The Addition Method | |

Systems of Linear Equations in Three Variables | |

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

Test • Making Connections | |

a review of Chapters 1-7 • Critical Thinking | |

More on Inequalities | |

Compound Inequalities in One Variable | |

Absolute Value Equations and Inequalities | |

Compound Inequalities in Two Variables | |

Linear Programming | |

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

Test • Making Connections | |

a review of Chapters 1-8 • Critical Thinking | |

Radicals and Rational Exponents | |

Radicals | |

Rational Exponents | |

Adding, Subtracting, and Multiplying Radicals | |

Quotients, Powers, and Rationalizing Denominators | |

Solving Equations with Radicals and Exponents | |

Complex Numbers | |

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

Test • Making Connections | |

a review of Chapters 1-9 • Critical Thinking | |

Quadratic Equations and Inequalities | |

Factoring and Completing the Square | |

The Quadratic Formula | |

More on Quadratic Equations | |

Graphing Parabolas | |

Quadratic and Rational Inequalities | |

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

Test • Making Connections | |

a review of Chapters 1-10 • Critical Thinking | |

Functions | |

Functions and Relations | |

Graphs of Functions and Relations | |

Transformations of Graphs | |

Graphs of Polynomial Functions | |

Graphs of Rational Functions | |

Combining Functions | |

Inverse Functions | |

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

Test • Making Connections | |

a review of Chapters 1-11 • Critical Thinking | |

Exponential and Logarithmic Functions | |

Exponential Functions and Their Applications | |

Logarithmic Functions and Their Applications | |

Properties of Logarithms | |

Solving Equations and Applications | |

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

Test • Making Connections | |

a review of Chapters 1-12 • Critical Thinking | |

Nonlinear Systems and the Conic Sections | |

Nonlinear Systems of Equations | |

The Parabola | |

The Circle | |

The Ellipse and Hyperbola | |

Second-Degree Inequalities | |

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

Test • Making Connections | |

a review of Chapters 1-13 • Critical Thinking | |

Sequences and Series | |

Sequences | |

Series | |

Arithmetic Sequences and Series | |

Geometric Sequences and Series | |

Binomial Expansions | |

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

Test • Making Connections | |

A Review of Chapter 1-14 • Critical Thinking | |

Geometry Review Exercises | |

Sets | |

Chapters 1-6 Diagnostic Test | |

Chapters 1-6 Review Answers to | |

Selected Exercises | |

Index | |

Table of Contents provided by Publisher. All Rights Reserved. |