Intermediate Algebra

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  • Edition: 7th
  • Format: Paperback
  • Copyright: 1/4/2005
  • Publisher: Cengage Learning
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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 26 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
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
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
Table of Contents provided by Publisher. All Rights Reserved.

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