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# Algebra Introductory and Intermediate: An Applied Approach

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

5th

### 9781439046951

1439046956

Paperback

2/16/2010

Cengage Learning

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## Related Products

## Summary

As in previous editions, the focus in ALGEBRA: INTRODUCTORY & INTERMEDIATE remains on the Aufmann Interactive Method (AIM). Users are encouraged to be active participants in the classroom and in their own studies as they work through the How To examples and the paired Examples and You Try It problems. The role of "active participant" is crucial to success. Presenting students with worked examples, and then providing them with the opportunity to immediately work similar problems, helps them build their confidence and eventually master the concepts.

## Table of Contents

Real Numbers and Variable Expressions | |

Prep Test | |

Integers | |

Rational and Irrational Numbers | |

The Order of Operations Agreement | |

Variable Expressions | |

Sets | |

Focus on Problem Solving | |

Projects & Group Activities | |

Summary | |

Concept Review | |

Review Exercises | |

Test | |

First-Degree Equations and Inequalities | |

Prep Test | |

Introduction to Equations | |

General Equations | |

Translating Sentences into Equations | |

Mixture and Uniform Motion Problems | |

First-Degree Inequalities | |

Absolute Value Equations and Inequalities | |

Focus on Problem Solving | |

Projects & Group Activities | |

Summary | |

Concept Review | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Geometry | |

Prep Test | |

Introduction to Geometry | |

Plane Geometric Figures | |

Solids | |

Focus on Problem Solving | |

Projects & Group Activities | |

Summary | |

Concept Review | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Linear Functions And Inequalities In Two Variables | |

Prep Test | |

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 | |

Focus on Problem Solving | |

Projects & Group Activities | |

Summary | |

Concept Review | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Systems Of Linear Equations and Inequalities | |

Prep Test | |

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

Solving Systems of Linear Equations by the Addition Method | |

Application Problems | |

Solving Systems of Linear Inequalities | |

Solving Systems of Equations by Using Determinants | |

Focus on Problem Solving | |

Projects & Group Activities | |

Summary | |

Concept Review | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Polynomials | |

Prep Test | |

Exponential Expressions | |

Introduction to Polynomial Functions | |

Multiplication of Polynomials | |

Division of Polynomials | |

Focus on Problem Solving | |

Projects & Group Activities | |

Summary | |

Concept Review | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Factoring | |

Prep Test | |

Common Factors | |

Factoring Polynomials of the Form x2 + bx + c | |

Factoring Polynomials of the Form ax2 + bx + c | |

Special Factoring | |

Solving Equations | |

Focus on Problem Solving | |

Projects & Group Activities | |

Summary | |

Concept Review | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Rational Expressions | |

Prep Test | |

Multiplication and Division of Rational Expressions | |

Addition and Subtraction of Rational Expressions | |

Complex Fractions | |

Solving Equations Containing Fractions | |

Ratio and Proportion | |

Literal Equations | |

Application Problems | |

Variation | |

Focus on Problem Solving | |

Projects & Group Activities | |

Summary | |

Concept Review | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Exponents and Radicals | |

Prep Test | |

Rational Exponents and Radical Expressions | |

Operations on Radical Expressions | |

Solving Equations Containing Radical Expressions | |

Complex Numbers | |

Focus on Problem Solving | |

Projects & Group Activities | |

Summary | |

Concept Review | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Quadratic Equations | |

Prep Test | |

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

Solving Quadratic Equations by Completing the Square | |

Solving Quadratic Equations by Using the Quadratic Formula | |

Solving Equations That Are Reducible to Quadratic Equations | |

Quadratic Inequalities and Rational Inequalities | |

Applications of Quadratic Equations | |

Focus on Problem Solving | |

Projects & Group Activities | |

Summary | |

Concept Review | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Functions and Relations | |

Prep Test | |

Properties of Quadratic Functions | |

Graphs of Functions | |

Algebra of Functions | |

One-to-One and Inverse Functions | |

Conic Sections | |

Focus on Problem Solving | |

Projects & Group Activities | |

Summary | |

Concept Review | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Exponential and Logarithmic Functions | |

Prep Test | |

Exponential Functions | |

Introduction to Logarithms | |

Graphs of Logarithmic Functions | |

Solving Exponential and Logarithmic Equations | |

Applications of Exponential and Logarithmic Functions | |

Focus on Problem Solving | |

Projects & Group Activities | |

Summary | |

Concept Review | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

R. Review of Introductory Algebra Topics | |

Variable Expressions | |

Equations and Inequalities | |

Linear Equations in Two Variables | |

Polynomials | |

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