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# Intermediate Algebra With Applications

**by**Aufmann, Richard N.; Barker, Vernon C.; Lockwood, Joanne

7th

### 9780618803682

0618803688

Hardcover

1/10/2007

Cengage Learning

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## Summary

Intended for developmental math courses in intermediate algebra, this text retains the hallmark features that have made the Aufmann texts market leaders: an interactive approach in an objective-based framework: a clear writing style, and an emphasis on problem-solving strategies. The acclaimed Aufmann Interactive Method, allows students to try a skill as it is introduced with matched-pair examples, offering students immediate feedback, reinforcing the concept, identifying problem areas, and, overall, promoting student success. New!Interactive Exercisesappear at the beginning of an objective's exercise set (when appropriate), and provide students with guided practice on some of the objective's underlying principles. New!Think About ItExercises are conceptual in nature and appear near the end of an objective's exercise set. They ask the students to think about the objective's concepts, make generalizations, and apply them to more abstract problems. The focus is on mental mathematics, not calculation or computation, and help students synthesize concepts. New!Important Pointshave been highlighted to capture students' attention. With these signposts, students are able to recognize what is most important and to study more efficiently. New!Coverage of evaluating functions, graphing functions, and the vertical line test have been added to Section 3.2. New!An explanation that the x-coordinate of an x-intercept is a zero of a function can now be found in Section 3.3. New!Improved Introductions to exponential and logarithmic functions in Chapter 10 will lead to greater student understanding of and interest in these topics. New Media!Two key components have been added to the technology package: HM Testing (powered by Diploma) and, as part of the Eduspace course management tool, HM Assess, an online diagnostic assessment tool.

## Table of Contents

Review of Real Numbers | |

Introduction to Real Numbers | |

Operations on Rational Numbers | |

Variable Expressions | |

Verbal Expressions and Variable Expressions | |

First-Degree Equations and Inequalities | |

Equations in One Variable | |

Coin, Stamp, and Integer Problems | |

Value Mixture and Motion Problems | |

Applications: Problems Involving Percent | |

Inequalities in One Variable | |

Absolute Value Equations and Inequalities | |

Linear Functions and Inequalities in Two Variables | |

The Rectangular Coordinate System | |

Introduction to Functions | |

Linear Functions | |

Slope of a Straight Line | |

Finding Equations of Lines | |

Parallel and Perpendicular Lines | |

Inequalities in Two Variables | |

Systems of Equations and Inequalities | |

Solving Systems of Linear Equations by Graphing and by the Substitution Method | |

Solving Systems of Linear Equations by the Addition Method | |

Solving Systems of Equations by Using Determinants and by Using Matrices | |

Application Problems | |

Solving Systems of Linear Inequalities | |

Polynomials and Exponents | |

Exponential Expressions | |

Introduction to Polynomials | |

Multiplication of Polynomials | |

Division of Polynomials | |

Factoring Polynomials | |

Special Factoring | |

Solving Equations by Factoring | |

Rational Expressions | |

Introduction to Rational Functions | |

Operations on Rational Expressions | |

Complex Fractions | |

Rational Equations | |

Proportions and Variation | |

Literal Equations | |

Rational Exponents and Radicals | |

Rational Exponents and Radical Expressions | |

Operations on Radical Expressions | |

Radical Functions | |

Solving Equations Containing Radical Expressions | |

Complex Numbers | |

Quadratic Equations and Inequalities | |

Solving Quadratic Equations by Factoring or by Taking Square Roots | |

Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula | |

Equations That Are Reducible to Quadratic Equations | |

Applications of Quadratic Equations | |

Nonlinear Inequalities | |

Properties of Quadratic Functions | |

Applications of Quadratic Functions | |

Functions and Relations | |

Translations of Graphs | |

Algebra of Functions | |

One-to-One and Inverse Functions | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

Introduction to Logarithms | |

Graphs of Logarithmic Functions | |

Exponential and Logarithmic Equations | |

Applications of Exponential and Logarithmic Functions | |

Sequences and Series | |

Introduction to Sequences and Series | |

Arithmetic Sequences and Series | |

Geometric Sequences and Series | |

Binomial Expansions | |

Conic Sections | |

The Parabola | |

The Circle | |

The Ellipse and the Hyperbola | |

Solving Nonlinear Systems of Equations | |

Quadratic Inequalities and Systems of Inequalities Final | |

Exam Appendix | |

Solutions to Chapter Problems | |

Answers to Selected Exercises | |

Glossary | |

Index | |

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