Introductory Algebra : An Applied Approach

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  • Edition: 7th
  • Format: Paperback
  • Copyright: 2005-01-01
  • Publisher: CENGAGE Delmar Learning
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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 26 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
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
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
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
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