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

Edition: 2ND 08Copyright: 2008

Publisher: Houghton Mifflin Harcourt

Published: 2008

International: No

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Intended for combined introductory and intermediate algebra courses, this text retains the hallmark features that have made the Aufmann texts market leaders: an interactive approach in an objective-based framework: a clear writing style, and an emphasis on problem-solving strategies. The acclaimed Aufmann Interactive Method, allows students to try a skill as it is introduced with matched-pair examples, offering students immediate feedback, reinforcing the concept, identifying problem areas, and, overall, promoting student success.

- New! Interactive Exercises appear at the beginning of an objective's exercise set (when appropriate), and provide students with guided practice on some of the objective's underlying principles.
- New! Think About It Exercises are conceptual in nature and appear near the end of an objective's exercise set. They ask the students to think about the objective's concepts, make generalizations, and apply them to more abstract problems. The focus is on mental mathematics, not calculation or computation, and help students synthesize concepts.
- New! Important Points have been highlighted to capture students' attention. With these signposts, students are able to recognize what is most important and to study more efficiently.
- New! Coverage of evaluating functions, graphing functions, and the vertical line test has been added to Section 3.2.
- New! An explanation that the x-coordinate of an x-intercept is a zero of a function can now be found in Section 3.3.
- New! Chapter 10 now begins with graphing absolute value functions as an introduction to translations of graphs.
- New! Improved Introductions to exponential and logarithmic functions in Chapter 11 will lead to greater student understanding of and interest in these topics.

**1. Real Numbers and Variable Expressions**

1.1 Introduction to Integers

1.2 Operations with Integers

1.3 Rational Numbers

1.4 Exponents and the Order of Operations Agreement

1.5 Variable Expressions

1.6 Translating Verbal Expressions into Variable Expressions

**2. Solving Equations and Inequalities**

2.1 Introduction to Equations

2.2 General Equations

2.3 Application Problems

2.4 Geometry Problems

2.5 Markup and Discount Problems

2.6 Applications: Problems Involving Percent

2.7 Inequalities in One Variable

2.8 Absolute Value Equations and Inequalities

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

3.1The Rectangular Coordinate System

3.2 Introduction to Functions

3.3 Linear Functions

3.4 Slope of a Straight Line

3.5 Finding Equations of Lines

3.6 Parallel and Perpendicular Lines

3.7 Inequalities in Two Variables

**4. Systems of Equations and Inequalities**

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

4.2 Solving Systems of Linear Equations by the Addition Method

4.3 Solving Systems of Equations by Using Determinants and by Using Matrices

4.4 Application Problems

4.5 Solving Systems of Linear Inequalities

**5. Polynomials**

5.1 Introduction to Polynomials

5.2 Multiplication of Monomials

5.3 Multiplication of Polynomials

5.4 Integer Exponents and Scientific Notation

5.5 Division of Polynomials

**6. Factoring**

6.1 Common Factors

6.2 Factoring Polynomials of the Form x2 + bx + c

6.3 Factoring Polynomials of the Form ax2 + bx + c

6.4 Special Factoring

6.5 Solving Equations by Factoring

**7. Rational Expressions**

7.1 Introduction to Rational Functions

7.2 Operations on Rational Expressions

7.3 Complex Fractions

7.4 Rational Equations

7.5 Proportions and Variation

7.6 Literal Equations

**8. Rational Exponents and Radicals**

8.1 Rational Exponents and Radical Expressions

8.2 Operations on Radical Expressions

8.3 Radical Functions

8.4 Solving Equations Containing Radical Expressions

8.5 Complex Numbers

**9. Quadratic Equations and Inequalities**

9.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

9.2 Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula

9.3 Equations That Are Reducible to Quadratic Equations

9.4 Applications of Quadratic Equations

9.5 Nonlinear Inequalities

9.6 Properties of Quadratic Functions

9.7 Applications of Quadratic Functions

**10. Functions and Relations**

10.1 Translations of Graphs

10.2 Algebra of Functions

10.3 One-to-One and Inverse Functions

**11. Exponential and Logarithmic Functions**

11.1 Exponential Functions

11.2 Introduction to Logarithms

11.3 Graphs of Logarithmic Functions

11.4 Exponential and Logarithmic Equations

11.5 Applications of Exponential and Logarithmic Functions

Final Exam

R. Review of Beginning Algebra Topics

R.1 Variable Expressions

R.2 Equations and Inequalities

R.3 Linear Equations in Two Variables

R.4 Polynomials

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Summary

Intended for combined introductory and intermediate algebra courses, this text retains the hallmark features that have made the Aufmann texts market leaders: an interactive approach in an objective-based framework: a clear writing style, and an emphasis on problem-solving strategies. The acclaimed Aufmann Interactive Method, allows students to try a skill as it is introduced with matched-pair examples, offering students immediate feedback, reinforcing the concept, identifying problem areas, and, overall, promoting student success.

- New! Interactive Exercises appear at the beginning of an objective's exercise set (when appropriate), and provide students with guided practice on some of the objective's underlying principles.
- New! Think About It Exercises are conceptual in nature and appear near the end of an objective's exercise set. They ask the students to think about the objective's concepts, make generalizations, and apply them to more abstract problems. The focus is on mental mathematics, not calculation or computation, and help students synthesize concepts.
- New! Important Points have been highlighted to capture students' attention. With these signposts, students are able to recognize what is most important and to study more efficiently.
- New! Coverage of evaluating functions, graphing functions, and the vertical line test has been added to Section 3.2.
- New! An explanation that the x-coordinate of an x-intercept is a zero of a function can now be found in Section 3.3.
- New! Chapter 10 now begins with graphing absolute value functions as an introduction to translations of graphs.
- New! Improved Introductions to exponential and logarithmic functions in Chapter 11 will lead to greater student understanding of and interest in these topics.

Table of Contents

**1. Real Numbers and Variable Expressions**

1.1 Introduction to Integers

1.2 Operations with Integers

1.3 Rational Numbers

1.4 Exponents and the Order of Operations Agreement

1.5 Variable Expressions

1.6 Translating Verbal Expressions into Variable Expressions

**2. Solving Equations and Inequalities**

2.1 Introduction to Equations

2.2 General Equations

2.3 Application Problems

2.4 Geometry Problems

2.5 Markup and Discount Problems

2.6 Applications: Problems Involving Percent

2.7 Inequalities in One Variable

2.8 Absolute Value Equations and Inequalities

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

3.1The Rectangular Coordinate System

3.2 Introduction to Functions

3.3 Linear Functions

3.4 Slope of a Straight Line

3.5 Finding Equations of Lines

3.6 Parallel and Perpendicular Lines

3.7 Inequalities in Two Variables

**4. Systems of Equations and Inequalities**

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

4.2 Solving Systems of Linear Equations by the Addition Method

4.3 Solving Systems of Equations by Using Determinants and by Using Matrices

4.4 Application Problems

4.5 Solving Systems of Linear Inequalities

**5. Polynomials**

5.1 Introduction to Polynomials

5.2 Multiplication of Monomials

5.3 Multiplication of Polynomials

5.4 Integer Exponents and Scientific Notation

5.5 Division of Polynomials

**6. Factoring**

6.1 Common Factors

6.2 Factoring Polynomials of the Form x2 + bx + c

6.3 Factoring Polynomials of the Form ax2 + bx + c

6.4 Special Factoring

6.5 Solving Equations by Factoring

**7. Rational Expressions**

7.1 Introduction to Rational Functions

7.2 Operations on Rational Expressions

7.3 Complex Fractions

7.4 Rational Equations

7.5 Proportions and Variation

7.6 Literal Equations

**8. Rational Exponents and Radicals**

8.1 Rational Exponents and Radical Expressions

8.2 Operations on Radical Expressions

8.3 Radical Functions

8.4 Solving Equations Containing Radical Expressions

8.5 Complex Numbers

**9. Quadratic Equations and Inequalities**

9.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

9.2 Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula

9.3 Equations That Are Reducible to Quadratic Equations

9.4 Applications of Quadratic Equations

9.5 Nonlinear Inequalities

9.6 Properties of Quadratic Functions

9.7 Applications of Quadratic Functions

**10. Functions and Relations**

10.1 Translations of Graphs

10.2 Algebra of Functions

10.3 One-to-One and Inverse Functions

**11. Exponential and Logarithmic Functions**

11.1 Exponential Functions

11.2 Introduction to Logarithms

11.3 Graphs of Logarithmic Functions

11.4 Exponential and Logarithmic Equations

11.5 Applications of Exponential and Logarithmic Functions

Final Exam

R. Review of Beginning Algebra Topics

R.1 Variable Expressions

R.2 Equations and Inequalities

R.3 Linear Equations in Two Variables

R.4 Polynomials

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2008

International: No

Published: 2008

International: No

Intended for combined introductory and intermediate algebra courses, this text retains the hallmark features that have made the Aufmann texts market leaders: an interactive approach in an objective-based framework: a clear writing style, and an emphasis on problem-solving strategies. The acclaimed Aufmann Interactive Method, allows students to try a skill as it is introduced with matched-pair examples, offering students immediate feedback, reinforcing the concept, identifying problem areas, and, overall, promoting student success.

- New! Interactive Exercises appear at the beginning of an objective's exercise set (when appropriate), and provide students with guided practice on some of the objective's underlying principles.
- New! Think About It Exercises are conceptual in nature and appear near the end of an objective's exercise set. They ask the students to think about the objective's concepts, make generalizations, and apply them to more abstract problems. The focus is on mental mathematics, not calculation or computation, and help students synthesize concepts.
- New! Important Points have been highlighted to capture students' attention. With these signposts, students are able to recognize what is most important and to study more efficiently.
- New! Coverage of evaluating functions, graphing functions, and the vertical line test has been added to Section 3.2.
- New! An explanation that the x-coordinate of an x-intercept is a zero of a function can now be found in Section 3.3.
- New! Chapter 10 now begins with graphing absolute value functions as an introduction to translations of graphs.
- New! Improved Introductions to exponential and logarithmic functions in Chapter 11 will lead to greater student understanding of and interest in these topics.

**1. Real Numbers and Variable Expressions**

1.1 Introduction to Integers

1.2 Operations with Integers

1.3 Rational Numbers

1.4 Exponents and the Order of Operations Agreement

1.5 Variable Expressions

1.6 Translating Verbal Expressions into Variable Expressions

**2. Solving Equations and Inequalities**

2.1 Introduction to Equations

2.2 General Equations

2.3 Application Problems

2.4 Geometry Problems

2.5 Markup and Discount Problems

2.6 Applications: Problems Involving Percent

2.7 Inequalities in One Variable

2.8 Absolute Value Equations and Inequalities

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

3.1The Rectangular Coordinate System

3.2 Introduction to Functions

3.3 Linear Functions

3.4 Slope of a Straight Line

3.5 Finding Equations of Lines

3.6 Parallel and Perpendicular Lines

3.7 Inequalities in Two Variables

**4. Systems of Equations and Inequalities**

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

4.2 Solving Systems of Linear Equations by the Addition Method

4.3 Solving Systems of Equations by Using Determinants and by Using Matrices

4.4 Application Problems

4.5 Solving Systems of Linear Inequalities

**5. Polynomials**

5.1 Introduction to Polynomials

5.2 Multiplication of Monomials

5.3 Multiplication of Polynomials

5.4 Integer Exponents and Scientific Notation

5.5 Division of Polynomials

**6. Factoring**

6.1 Common Factors

6.2 Factoring Polynomials of the Form x2 + bx + c

6.3 Factoring Polynomials of the Form ax2 + bx + c

6.4 Special Factoring

6.5 Solving Equations by Factoring

**7. Rational Expressions**

7.1 Introduction to Rational Functions

7.2 Operations on Rational Expressions

7.3 Complex Fractions

7.4 Rational Equations

7.5 Proportions and Variation

7.6 Literal Equations

**8. Rational Exponents and Radicals**

8.1 Rational Exponents and Radical Expressions

8.2 Operations on Radical Expressions

8.3 Radical Functions

8.4 Solving Equations Containing Radical Expressions

8.5 Complex Numbers

**9. Quadratic Equations and Inequalities**

9.1 Solving Quadratic Equations by Factoring or by Taking Square Roots

9.2 Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula

9.3 Equations That Are Reducible to Quadratic Equations

9.4 Applications of Quadratic Equations

9.5 Nonlinear Inequalities

9.6 Properties of Quadratic Functions

9.7 Applications of Quadratic Functions

**10. Functions and Relations**

10.1 Translations of Graphs

10.2 Algebra of Functions

10.3 One-to-One and Inverse Functions

**11. Exponential and Logarithmic Functions**

11.1 Exponential Functions

11.2 Introduction to Logarithms

11.3 Graphs of Logarithmic Functions

11.4 Exponential and Logarithmic Equations

11.5 Applications of Exponential and Logarithmic Functions

Final Exam

R. Review of Beginning Algebra Topics

R.1 Variable Expressions

R.2 Equations and Inequalities

R.3 Linear Equations in Two Variables

R.4 Polynomials