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

Edition: 7TH 06Copyright: 2006

Publisher: Houghton Mifflin Harcourt

Published: 2006

International: No

Richard N. Aufmann, Vernon C. Barker and Joanne S. Lockwood

Edition: 7TH 06
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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-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.

Note: Each chapter concludes with a Chapter Summary, Review, and Test. Chapters 2-6 are followed by a Cumulative Review.

**1. Review of Real Numbers **

Section 1.1 Introduction to Real Numbers

Section 1.2 Operations on Rational Numbers

Section 1.3 Variable Expressions

Section 1.4 Verbal Expressions and Variable Expressions

Focus on Problem Solving: Polya's Four-Step Process

Projects and Group Activities: Water Displacement

**2. First-Degree Equations and Inequalities **

Section 2.1 Solving First-Degree Equations

Section 2.2 Applications: Puzzle Problems

Section 2.3 Applications: Mixture and Uniform Motion Problems

Section 2.4 First-Degree Inequalities

Section 2.5 Absolute Value Equations and Inequalities

Focus on Problem Solving: Understand the Problem

Projects and Group Activities: Electricity

**3. Linear Functions and Inequalities in Two Variables **

Section 3.1 The Rectangular Coordinate System

Section 3.2 Introduction to Functions

Section 3.3 Linear Functions

Section 3.4 Slope of a Straight Line

Section 3.5 Finding Equations of Lines

Section 3.6 Parallel and Perpendicular Lines

Section 3.7 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

**4. Systems of Equations and Inequalities **

Section 4.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method

Section 4.2 Solving Systems of Linear Equations by the Addition Method

Section 4.3 Solving Systems of Equations by Using Determinants

Section 4.4 Application Problems

Section 4.5 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

**5. Polynomials **

Section 5.1 Exponential Expressions

Section 5.2 Introduction to Polynomial Functions

Section 5.3 Multiplication of Polynomials

Section 5.4 Division of Polynomials

Section 5.5 Factoring Polynomials

Section 5.6 Special Factoring

Section 5.7 Solving Equations by Factoring

Focus on Problem Solving: Find a Counterexample

Projects and Group Activities: Astronomical Distances and Scientific Notation

**6. Rational Expressions **

Section 6.1 Multiplication and Division of Rational Expressions

Section 6.2 Addition and Subtraction of Rational Expressions

Section 6.3 Complex Fractions

Section 6.4 Ratio and Proportion

Section 6.5 Rational Equations

Section 6.6 Variation

Focus on Problem Solving: Implication

Projects and Group Activities: Graphing Variation Equations, Transformers

**7. Exponents and Radicals **

Section 7.1 Rational Exponents and Radical Expressions

Section 7.2 Operations on Radical Expressions

Section 7.3 Solving Equations Containing Radical Expressions

Section 7.4 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, TheGolden Rectangle

**8. Quadratic Equations **

Section 8.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

Section 8.2 Solving Quadratic Equations by Completing the Square

Section 8.3 Solving Quadratic Equations by using the Quadratic Formula

Section 8.4 Solving Equations that are Reducible to Quadratic Equations

Section 8.5 Quadratic Inequalities and Rational Inequalities

Section 8.6 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

**9. Functions and Relations **

Section 9.1 Properties of Quadratic Functions

Section 9.2 Graphs of Functions

Section 9.3 Algebra of Functions

Section 9.4 One-to-One and Inverse Functions

Focus on Problem Solving: Proof in MathematicsProjects 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

**10. Exponential and Logarithmic Functions **

Section 10.1 Exponential Functions

Section 10.2 Introduction to Logarithms

Section 10.3 Graphs of Logarithmic Functions

Section 10.4 Solving Exponential and Logarithmic Equations

Section 10.5 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 FICOR Scores

**11. Conic Sections **

Section 11.1 The Parabola

Section 11.2 The Circle

Section 11.3 The Ellipse and the Hyperbola

Section 11.4 Solving Non-linear Systems of Equations

Section 11.5 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

**12. Sequences and Series **

Section 12.1 Introduction to Sequences and Series

Section 12.2 Arithmetic Sequences and Series

Section 12.3 Geometric Sequences and Series

Section 12.4 Binomial Expansions

Focus on Problem Solving: Forming Negations

Projects and Group Activities: ISBN and UPC Numbers

Final Examination

Appendix

Keystroke Guide

Proofs of Logarithmic Properties

Proof of the Formula for the Sum of n Terms of an Geometric Series

Proof of the Formula for the Sum of n Terms of an Arithmetic Series

Table of Symbols

Table of Measurement Abbreviations

Solutions to You Try Its

Answers to Odd-Numbered Exercises

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-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.

Table of Contents

Note: Each chapter concludes with a Chapter Summary, Review, and Test. Chapters 2-6 are followed by a Cumulative Review.

**1. Review of Real Numbers **

Section 1.1 Introduction to Real Numbers

Section 1.2 Operations on Rational Numbers

Section 1.3 Variable Expressions

Section 1.4 Verbal Expressions and Variable Expressions

Focus on Problem Solving: Polya's Four-Step Process

Projects and Group Activities: Water Displacement

**2. First-Degree Equations and Inequalities **

Section 2.1 Solving First-Degree Equations

Section 2.2 Applications: Puzzle Problems

Section 2.3 Applications: Mixture and Uniform Motion Problems

Section 2.4 First-Degree Inequalities

Section 2.5 Absolute Value Equations and Inequalities

Focus on Problem Solving: Understand the Problem

Projects and Group Activities: Electricity

**3. Linear Functions and Inequalities in Two Variables **

Section 3.1 The Rectangular Coordinate System

Section 3.2 Introduction to Functions

Section 3.3 Linear Functions

Section 3.4 Slope of a Straight Line

Section 3.5 Finding Equations of Lines

Section 3.6 Parallel and Perpendicular Lines

Section 3.7 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

**4. Systems of Equations and Inequalities **

Section 4.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method

Section 4.2 Solving Systems of Linear Equations by the Addition Method

Section 4.3 Solving Systems of Equations by Using Determinants

Section 4.4 Application Problems

Section 4.5 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

**5. Polynomials **

Section 5.1 Exponential Expressions

Section 5.2 Introduction to Polynomial Functions

Section 5.3 Multiplication of Polynomials

Section 5.4 Division of Polynomials

Section 5.5 Factoring Polynomials

Section 5.6 Special Factoring

Section 5.7 Solving Equations by Factoring

Focus on Problem Solving: Find a Counterexample

Projects and Group Activities: Astronomical Distances and Scientific Notation

**6. Rational Expressions **

Section 6.1 Multiplication and Division of Rational Expressions

Section 6.2 Addition and Subtraction of Rational Expressions

Section 6.3 Complex Fractions

Section 6.4 Ratio and Proportion

Section 6.5 Rational Equations

Section 6.6 Variation

Focus on Problem Solving: Implication

Projects and Group Activities: Graphing Variation Equations, Transformers

**7. Exponents and Radicals **

Section 7.1 Rational Exponents and Radical Expressions

Section 7.2 Operations on Radical Expressions

Section 7.3 Solving Equations Containing Radical Expressions

Section 7.4 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, TheGolden Rectangle

**8. Quadratic Equations **

Section 8.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

Section 8.2 Solving Quadratic Equations by Completing the Square

Section 8.3 Solving Quadratic Equations by using the Quadratic Formula

Section 8.4 Solving Equations that are Reducible to Quadratic Equations

Section 8.5 Quadratic Inequalities and Rational Inequalities

Section 8.6 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

**9. Functions and Relations **

Section 9.1 Properties of Quadratic Functions

Section 9.2 Graphs of Functions

Section 9.3 Algebra of Functions

Section 9.4 One-to-One and Inverse Functions

Focus on Problem Solving: Proof in MathematicsProjects 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

**10. Exponential and Logarithmic Functions **

Section 10.1 Exponential Functions

Section 10.2 Introduction to Logarithms

Section 10.3 Graphs of Logarithmic Functions

Section 10.4 Solving Exponential and Logarithmic Equations

Section 10.5 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 FICOR Scores

**11. Conic Sections **

Section 11.1 The Parabola

Section 11.2 The Circle

Section 11.3 The Ellipse and the Hyperbola

Section 11.4 Solving Non-linear Systems of Equations

Section 11.5 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

**12. Sequences and Series **

Section 12.1 Introduction to Sequences and Series

Section 12.2 Arithmetic Sequences and Series

Section 12.3 Geometric Sequences and Series

Section 12.4 Binomial Expansions

Focus on Problem Solving: Forming Negations

Projects and Group Activities: ISBN and UPC Numbers

Final Examination

Appendix

Keystroke Guide

Proofs of Logarithmic Properties

Proof of the Formula for the Sum of n Terms of an Geometric Series

Proof of the Formula for the Sum of n Terms of an Arithmetic Series

Table of Symbols

Table of Measurement Abbreviations

Solutions to You Try Its

Answers to Odd-Numbered Exercises

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2006

International: No

Published: 2006

International: No

Note: Each chapter concludes with a Chapter Summary, Review, and Test. Chapters 2-6 are followed by a Cumulative Review.

**1. Review of Real Numbers **

Section 1.1 Introduction to Real Numbers

Section 1.2 Operations on Rational Numbers

Section 1.3 Variable Expressions

Section 1.4 Verbal Expressions and Variable Expressions

Focus on Problem Solving: Polya's Four-Step Process

Projects and Group Activities: Water Displacement

**2. First-Degree Equations and Inequalities **

Section 2.1 Solving First-Degree Equations

Section 2.2 Applications: Puzzle Problems

Section 2.3 Applications: Mixture and Uniform Motion Problems

Section 2.4 First-Degree Inequalities

Section 2.5 Absolute Value Equations and Inequalities

Focus on Problem Solving: Understand the Problem

Projects and Group Activities: Electricity

**3. Linear Functions and Inequalities in Two Variables **

Section 3.1 The Rectangular Coordinate System

Section 3.2 Introduction to Functions

Section 3.3 Linear Functions

Section 3.4 Slope of a Straight Line

Section 3.5 Finding Equations of Lines

Section 3.6 Parallel and Perpendicular Lines

Section 3.7 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

**4. Systems of Equations and Inequalities **

Section 4.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method

Section 4.2 Solving Systems of Linear Equations by the Addition Method

Section 4.3 Solving Systems of Equations by Using Determinants

Section 4.4 Application Problems

Section 4.5 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

**5. Polynomials **

Section 5.1 Exponential Expressions

Section 5.2 Introduction to Polynomial Functions

Section 5.3 Multiplication of Polynomials

Section 5.4 Division of Polynomials

Section 5.5 Factoring Polynomials

Section 5.6 Special Factoring

Section 5.7 Solving Equations by Factoring

Focus on Problem Solving: Find a Counterexample

Projects and Group Activities: Astronomical Distances and Scientific Notation

**6. Rational Expressions **

Section 6.1 Multiplication and Division of Rational Expressions

Section 6.2 Addition and Subtraction of Rational Expressions

Section 6.3 Complex Fractions

Section 6.4 Ratio and Proportion

Section 6.5 Rational Equations

Section 6.6 Variation

Focus on Problem Solving: Implication

Projects and Group Activities: Graphing Variation Equations, Transformers

**7. Exponents and Radicals **

Section 7.1 Rational Exponents and Radical Expressions

Section 7.2 Operations on Radical Expressions

Section 7.3 Solving Equations Containing Radical Expressions

Section 7.4 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, TheGolden Rectangle

**8. Quadratic Equations **

Section 8.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

Section 8.2 Solving Quadratic Equations by Completing the Square

Section 8.3 Solving Quadratic Equations by using the Quadratic Formula

Section 8.4 Solving Equations that are Reducible to Quadratic Equations

Section 8.5 Quadratic Inequalities and Rational Inequalities

Section 8.6 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

**9. Functions and Relations **

Section 9.1 Properties of Quadratic Functions

Section 9.2 Graphs of Functions

Section 9.3 Algebra of Functions

Section 9.4 One-to-One and Inverse Functions

Focus on Problem Solving: Proof in MathematicsProjects 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

**10. Exponential and Logarithmic Functions **

Section 10.1 Exponential Functions

Section 10.2 Introduction to Logarithms

Section 10.3 Graphs of Logarithmic Functions

Section 10.4 Solving Exponential and Logarithmic Equations

Section 10.5 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 FICOR Scores

**11. Conic Sections **

Section 11.1 The Parabola

Section 11.2 The Circle

Section 11.3 The Ellipse and the Hyperbola

Section 11.4 Solving Non-linear Systems of Equations

Section 11.5 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

**12. Sequences and Series **

Section 12.1 Introduction to Sequences and Series

Section 12.2 Arithmetic Sequences and Series

Section 12.3 Geometric Sequences and Series

Section 12.4 Binomial Expansions

Focus on Problem Solving: Forming Negations

Projects and Group Activities: ISBN and UPC Numbers

Final Examination

Appendix

Keystroke Guide

Proofs of Logarithmic Properties

Proof of the Formula for the Sum of n Terms of an Geometric Series

Proof of the Formula for the Sum of n Terms of an Arithmetic Series

Table of Symbols

Table of Measurement Abbreviations

Solutions to You Try Its

Answers to Odd-Numbered Exercises