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# Exploring Intermediate Algebra A Graphing Approach

**by**Aufmann, Richard N.; Lockwood, Joanne; Boswell, Laurie

1st

### 9780618156962

0618156968

Hardcover

7/2/2003

Cengage Learning

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## Summary

Intended for a first-year-level developmental mathematics course in intermediate algebra,Exploring Intermediate Algebra: A Graphing Approachis designed to assist students in making connections between mathematics and its applications. Its goal is to develop a student's mathematical skills through appropriate use of applications and to use technology to establish links between abstract mathematical concepts and visual or concrete representations. The provenAufmann Interactive Method(AIM) ensures that students try concepts and manipulate real-life data as they progress through the material. Every objective contains one or more sets of matched-pair examples encouraging students to interact with the text. The first example in each set is completely worked out; the second example, called 'You Try It,' prompts students to practice concepts at the time they are presented in the text.Complete worked-out solutionsto these examples in an appendix at the end of the book help students by providing immediate feedback, concept reinforcement, and identification of mistakes to prevent frustration. Technology is integrated throughout the text to assist students in making connections between abstract mathematical concepts and a concrete representation provided by technology. Eduspace, powered by Blackboard, for the Aufmann/Lockwood/BoswellExploring Intermediate Algebracourse features algorithmic exercises and test bank content in question pools.

## Table of Contents

Note: Each chapter begins with a Prep Test and includes a Chapter Summary, Chapter Review Exercises, and a Chapter Test | |

Chapters 2–10 conclude with Cumulative Review Exercises | |

Fundamental Concepts | |

Problem Solving | |

Sets | |

Evaluating Variable Expressions Using Integers | |

Evaluating Variable Expressions Using Rational Numbers | |

Simplifying Variable Expressions | |

Introduction to Functions and Relations | |

Rectangular Coordinates and Graphs | |

Relations and Functions | |

Properties of Functions | |

First-Degree Equations and Inequalities | |

Solving First-Degree Equations | |

Applications of First-Degree Equations | |

Applications to Geometry | |

Inequalities in One Variable | |

Absolute Value Equations and Inequalities | |

Linear Functions | |

Slopes and Graphs of Linear Functions | |

Finding Equations of Straight Lines | |

Linear Regression | |

Linear Inequalities in Two Variables | |

Systems of Linear 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 Linear Equations Using Matrices | |

Systems of Linear Inequalities and Linear Programming | |

Polynomials | |

Operations on Monomials and Scientific Notation | |

Addition and Subtraction of Polynomials | |

Multiplication and Division of Polynomials | |

Factoring Polynomials | |

Solving Equations by Factoring | |

Rational Expressions and Equations | |

Introduction to Rational Expressions | |

Operations on Rational Expressions | |

Rational Equations | |

Proportions and Similar Triangles | |

Variation | |

Radical Expressions and Rational Exponents | |

Rational Exponents and Radical Expressions | |

Simplifying Radical Expressions | |

The Pythagorean Theorem | |

Operations on Radical Expressions | |

Radical Functions | |

Solving Radical Equations | |

Quadratic Functions and Quadratic Inequalities | |

Introduction to Quadratic Equations | |

Solving Quadratic Equations by Taking Square Roots and by Completing the Square | |

Solving Quadratic Equations by Using the Quadratic Formula and by Graphing | |

Equations That Are Quadratic in Form | |

Quadratic Functions | |

Quadratic Inequalities | |

Exponential and Logarithmic Functions | |

Algebra of Functions | |

Inverse Functions | |

Exponential Functions | |

Exponential Models and Exponential Regression | |

Logarithmic Functions | |

Properties of Logarithms | |

Exponential and Logarithmic Equations Additional Topics in Algebra | |

Section 1 | |

Section 2 | |

Section 3 | |

Keystroke Guide for the TI-83 and TI-83 Plus | |

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