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# Introductory Algebra : An Applied Approach

**by**Aufmann, Richard N.

7th

### 9780618503070

0618503072

Paperback

1/1/2005

CENGAGE Delmar Learning

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## Summary

With its complete, interactive, objective-based approach, Introductory Algebra: An Applied Approach, is a best-seller in this market. The Seventh Edition provides mathematically sound and comprehensive coverage of the topics considered essential in a beginning algebra course. The text includes chapter-opening Prep Tests, updated applications, and a new design. A robust Instructor's Annotated Edition features a comprehensive selection of instructor support materials. The Aufmann Interactive Method is incorporated throughout the text, ensuring that students interact with and master the concepts as they are presented. This approach is especially important in the context of rapidly growing distance-learning and self-paced laboratory situations. New! Study Tips margin notes provide point-of-use advice and refer students back to the AIM for Success preface for support where appropriate. Integrating Technology (formerly Calculator Notes) margin notes provide suggestions for using a calculator in certain situations. For added support and quick reference, a scientific calculator screen is displayed on the inside back cover of the text. Enhanced! More bulleted annotations have been added to the solution steps of examples and to the You Try It solutions in the appendix. Enhanced! Examples have been clearly labeled How To, making them more prominent to the student. Enhanced! More operation application problems integrated into the Applying the Concepts exercises encourage students to judge which operation is needed to solve a word problem. New! Nearly 100 new photos add real-world appeal and motivation. Revised! The Chapter Summary has been reformatted to include an example column, offering students increased visual support. Enhanced! In response to instructor feedback, the number of Chapter Review Exercises and Cumulative Review Exercises has increased. Enhanced! This edition features additional coverage of time (Chapter 8), bytes (Chapter 9), and temperature (Chapter 11). Aufmann Interactive Method (AIM) Every section objective contains one or more sets of matched-pair examples that encourage students to interact with the text. The first example in each set is completely worked out; the second example, called 'You Try It,' is for the student to work. By solving the You Try It, students practice concepts as they are presented in the text. Complete worked-out solutions to these examples in an appendix enable students to check their solutions and obtain immediate reinforcement of the concept. While similar texts offer only final answers to examples, the Aufmann texts' complete solutions help students identify their mistakes and prevent frustration. Integrated learning system organized by objectives. Each chapter begins with a list of learning objectives that form the framework for a complete learning system. The objectives are woven throughout the text (in Exercises, Chapter Tests, and Cumulative Reviews) and also connect the text with the print and multimedia ancillaries. This results in a seamless, easy-to-navigate learning system. AIM for Success Student Preface explains what is required of a student to be successful and demonstrates how the features in the text foster student success. AIM for Success can be used as a lesson on the first day of class or as a project for students to c

## Table of Contents

Chapters 2–6 are followed by Cumulative Review Exercises | |

Prealgebra Review | |

Introduction to Integers | |

Addition and Subtraction of Integers | |

Multiplication and Division of Integers | |

Exponents and the Order of Operations Agreement | |

Factoring Numbers and Prime Factorization | |

Addition and Subtraction of Rational Numbers | |

Multiplication and Division of Rational Numbers | |

Concepts from Geometry Focus on Problem Solving: Inductive Reasoning Projects and Group Activities: The +/- Key on a Calculator | |

Variable Expressions | |

Evaluating Variable Expressions | |

Simplifying Variable Expressions | |

Translating Verbal Expressions into Variable Expressions | |

Focus on Problem Solving: From Concrete to Abstract Projects and Group Activities: Prime and Composite Numbers | |

Solving Equations | |

Introduction to Equations | |

General Equations--Part I | |

General Equations--Part II | |

Translating Sentences into Equations | |

Geometry Problems | |

Mixture and Uniform Motion Problems | |

Focus on Problem Solving: Trial-and-Error Approach to Problem Solving Projects and Group Activities: Nielsen Ratings | |

Polynomials | |

Addition and Subtraction of Polynomials | |

Multiplication of Monomials | |

Multiplication of Polynomials | |

Integer Exponents and Scientific Notation | |

Division of Polynomials | |

Focus on Problem Solving: Dimensional Analysis Projects and Group Activities: Diagramming the Square of a Binomial | |

Factoring | |

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: Making a Table Projects and Group Activities: Evaluating Polynomials Using a Graphing Calculator | |

Rational Expressions | |

Multiplication and Division of Rational Expressions | |

Expressing Fractions in Terms of the Least Common Multiple (LCM) | |

Addition and Subtraction of Rational Expressions | |

Complex Fractions | |

Solving Equations Containing Fractions | |

Ratio and Proportion | |

Literal Equations | |

Application Problems | |

Focus on Problem Solving: Negations and If. . .then Sentences Projects and Group Activities: Intensity of Illumination | |

Linear Equations in Two Variables | |

The Rectangular Coordinate System | |

Linear Equations in Two Variables | |

Intercepts and Slopes of Straight Lines | |

Equations of Straight Lines | |

Focus on Problem Solving: Counterexamples Projects and Group Activities: Graphing Linear Equations with a Graphing Utility | |

Systems of Linear Equations | |

Solving Systems of Linear Equations by Graphing | |

Solving Systems of Linear Equations by the Substitution Method | |

Solving Systems of Equations by the Addition Method | |

Application Problems in Two Variables | |

Focus on Problem Solving: Using a Table and Searching for a Pattern Projects and Group Activities: Finding a Pattern | |

Inequalities | |

Sets | |

The Addition and Multiplication Properties of Inequalities | |

General Inequalities | |

Graphing Linear Inequalities | |

Focus on Problem Solving: Graphing Data Projects and Group Activities: Mean and Standard Deviation | |

Radical Expressions | |

Introduction to Radical Expressions | |

Addition and Subtraction of Radical Expressions | |

Multiplication and Division of Radical Expressions | |

Solving Equations Containing Radical Expressions Focus on Problem Solving: Deductive Reasoning Projects and Group Activities: Distance to the Horizon | |

Quadratic Equations | |

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 | |

Graphing Quadratic Equations in Two Variables | |

Application Problems | |

Focus on Problem Solving: Algebraic Manipulation and Graphing Techniques Projects and Group Activities: Graphical Solutions of Quadratic Equations | |

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