Intermediate Algebra

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

• ISBN13: 9780618503087
• ISBN10: 0618503080
• Edition: 7th
• Format: Paperback
• Copyright: 2005-01-04
• Publisher: Cengage Learning

Summary

With its complete, interactive, objective-based approach,Intermediate 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 an intermediate algebra course. The text includes chapter-openingPrep 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 Tipsmargin notes provide point-of-use advice and refer students back to theAIM for Successpreface 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 annotationshave been added to the solution steps of examples and to the You Try It solutions in the appendix. Enhanced!Examples have been clearly labeledHow To,making them more prominent to the student. Enhanced!More operation application problemsintegrated into theApplying the Conceptsexercises encourage students to judge which operation is needed to solve a word problem. New!Nearly100 new photosadd real-world appeal and motivation. Revised!TheChapter Summaryhas been reformatted to include an example column, offering students increased visual support. Enhanced!In response to instructor feedback, the number ofChapter Review ExercisesandCumulative Review Exerciseshas 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 SuccessStudent Preface explains what is required of a student to be successful and demonstrates how the features in the text foster student success.AIM for Successcan be used as a lesson on the first day of class or as a project for students to complete. The Instructor's Resource Manual offers suggestions for teaching this lesson.Study Tipmargin notes throughout the text also refer students back to the Student Preface for advice. Prep Testsat the beginning of each chapter help students prepare for the upcoming material by testing them on prerequisite material learned in preceding chapters. The answers to these questions can be found in the Answer Appen

Table of Contents

Chapters 2–6 are followed by Cumulative Review Exercises

Review of Real Numbers

Introduction to Real Numbers

Operations on Rational Numbers

Variable Expressions

Verbal Expressions and Variable Expressions

Focus on Problem Solving: Polya's Four-Step Process Projects and Group Activities: Water Displacement

First-Degree Equations and Inequalities

Solving First-Degree Equations

Applications: Puzzle Problems

Applications: Mixture and Uniform Motion Problems

First-Degree Inequalities

Absolute Value Equations and Inequalities

Focus on Problem Solving: Understand the Problem Projects and Group Activities: Electricity

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

Focus on Problem Solving: Find a Pattern Projects and Group Activities: Evaluating a Function with a Graphing Calculator, Introduction to Graphing Calculators, Wind-Chill Index

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

Application Problems

Solving Systems of Linear Inequalities

Focus on Problem Solving: Solve an Easier Problem Projects and Group Activities: Using a Graphing Calculator to Solve a System of Equations

Polynomials

Exponential Expressions

Introduction to Polynomial Functions

Multiplication of Polynomials

Division of Polynomials

Factoring Polynomials

Special Factoring

Solving Equations by Factoring

Focus on Problem Solving: Find a Counterexample Projects and Group Activities: Astronomical Distances and Scientific Notation

Rational Expressions

Multiplication and Division of Rational Expressions

Addition and Subtraction of Rational Expressions

Complex Fractions

Ratio and Proportion

Rational Equations

Variation

Focus on Problem Solving: Implication Projects and Group Activities: Graphing Variation Equations, Transformers

Exponents and Radicals

Rational Exponents and Radical Expressions

Operations on Radical Expressions

Solving Equations Containing Radical Expressions

Complex Numbers

Focus on Problem Solving: Another Look at Polya's Four-Step Process Projects and Group Activities: Solving Radical Equations with a Graphing Calculator, The Golden Rectangle

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

Solving Equations that are Reducible to Quadratic Equations

Quadratic Inequalities and Rational Inequalities

Applications of Quadratic Equations

Focus on Problem Solving: Inductive and Deductive Reasoning Projects and Group Activities: Using a Graphing Calculator to Solve a Quadratic Equation

Functions and Relations

Properties of Quadratic Functions

Graphs of Functions

Algebra of Functions

One-to-One and Inverse Functions

Focus on Problem Solving: Proof in Mathematics Projects and Group Activities: Finding the Maximum or Minimum of a Function Using a Graphing Calculator, Business Applications of Maximum and Minimum Values of Quadratic Functions

Exponential and Logarithmic Functions

Exponential Functions

Introduction to Logarithms

Graphs of Logarithmic Functions

Solving Exponential and Logarithmic Equations

Applications of Exponential and Logarithmic Functions

Focus on Problem Solving: Proof by Contradiction Projects and Group Activities: Solving Exponential and Logarithmic Equations Using a Graphing Calculator, Credit Reports and FICOreg; Scores

Conic Sections

The Parabola

The Circle

The Ellipse and the Hyperbola

Solving Nonlinear Systems of Equations

Quadratic Inequalities and Systems of Inequalities

Focus on Problem Solving: Using a Variety of Problem-Solving Techniques Projects and Group Activities: The Eccentricity and Foci of an Ellipse, Graphing Conic Sections Using a Graphing Calculator

Sequences and Series

Introduction to Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

Binomial Expansions

Focus on Problem Solving: Forming Negations Projects and Group Activities: ISBN and UPC Numbers

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