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# Algebra for College Students

**by**Dugopolski, Mark

5th

### 9780077224844

0077224841

Hardcover

1/14/2008

McGraw-Hill Science/Engineering/Math

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## Related Products

## Summary

Algebra for College Students, 5eis 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 | |

The Real Numbers | |

Sets | |

The Real Numbers | |

Operations on the Set of Real Numbers | |

Evaluating Expressions | |

Properties of the Real Numbers | |

Using the Properties | |

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

Test • Critical Thinking | |

Linear Equations and Inequalities in One Variable | |

Linear Equations in One Variable | |

Formulas and Functions | |

Applications | |

Inequalities | |

Compound Inequalities | |

Absolute Value Equations and Inequalities | |

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 of a Line | |

Three Forms for the Equation of a Line | |

Linear Inequalities and Their Graphs | |

Functions and Relations | |

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 | |

Solving Systems by Graphing and Substitution | |

The Addition Method | |

Systems of Linear Equations in Three Variables | |

Solving Linear Systems Using Matrices | |

Determinants and Cramer’s Rule | |

Linear Programming | |

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

Test • Making Connections | |

a review of Chapters 1-4 • Critical Thinking | |

Exponents and Polynomials | |

Integral Exponents and Scientific Notation | |

The Power Rules | |

Polynomials and Polynomial Functions | |

Multiplying Binomials | |

Factoring Polynomials | |

Factoring ax˛ + bx + c | |

Factoring Strategy | |

Solving 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 and Functions | |

Properties of Rational Expressions and Functions | |

Multiplication and Division | |

Addition and Subtraction | |

Complex Fractions | |

Division of Polynomials | |

Solving Equations Involving Rational Expressions | |

Applications | |

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

Test • Making Connections | |

a review of Chapters 1-6 • 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 1-7 • Critical Thinking | |

Quadratic Equations, Functions, and Inequalities | |

Factoring and Completing the Square | |

The Quadratic Formula | |

More on Quadratic Equations | |

Quadratic Functions and Their Graphs | |

Quadratic and Rational Inequalities | |

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

Test & | |

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