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Edition: 4TH 06

Copyright: 2006

Publisher: McGraw-Hill Publishing Company

Published: 2006

International: No

Copyright: 2006

Publisher: McGraw-Hill Publishing Company

Published: 2006

International: No

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Algebra for College Students, 4th Edition, is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying theme of this text is the development of the skills necessary for solving equations and inequalities, followed by the application of those skills to solving applied problems. This text contains 2 chapters, Polynomial & Rational Functions, and Counting & Probability, in addition to those found in Dugopolski's Intermediate Algebra.

**New Features**

- NEW: Critical Thinking Exercises for individual or group work now conclude every chapter. These are fun, thought-provoking problems that encourage students to think creatively to solve problems and go beyond the traditional skill-building exercises that most students are used to.
- NEW: Teaching Tips, found in the margins of the AIE, will be especially helpful to instructors who are new to teaching from this book.
- NEW: Every example now refers students to specific exercises so they may immediately apply what they have studied in the example.
- Revised: Each chapter contains a new Math at Work feature, which demonstrates how math is used in real ways in various professions of the working world.

**Chapter 1 The Real Numbers**

1.1 Sets

1.2 The Real Numbers

1.3 Operations on the Set of Real Numbers

1.4 Evaluating Expressions

1.5 Properties of the Real Numbers

1.6 Using the Properties

**Chapter 2 Linear Equations and Inequalities in One Variable**

2.1 Linear Equations in One Variable

2.2 Formulas

2.3 Applications

2.4 Inequalities

2.5 Compound Inequalities

2.6 Absolute Value Equations and Inequalities

**Chapter 3 Linear Equations and Inequalities in Two Variables**

3.1 Graphing Lines in the Coordinate Plane

3.2 Slope of a Line

3.3 Three Forms for the Equation of a Line

3.4 Linear Inequalities and Their Graphs

3.5 Functions and Relations

**Chapter 4 Systems of Linear Equations**

4.1 Solving Systems by Graphing and Substitution

4.2 The Addition Method

4.3 Systems of Linear Equations in Three Variables

4.4 Solving Linear Systems Using Matrices

4.5 Determinants and Cramer's Rule

4.6 Linear Programming

**Chapter 5 Exponents and Polynomials**

5.1 Integral Exponents and Scientific Notation

5.2 The Power Rules

5.3 Polynomials and Polynomial Functions

5.4 Multiplying Binomials

5.5 Factoring Polynomials

5.6 Factoring ax^2 + bx + c

5.7 Factoring Strategy

5.8 Solving Equations by Factoring

**Chapter 6 Rational Expressions and Functions**

6.1 Properties of Rational Expressions and Functions

6.2 Multiplication and Division

6.3 Addition and Subtraction

6.4 Complex Fractions

6.5 Division of Polynomials

6.6 Solving Equations Involving Rational Expressions

6.7 Applications

**Chapter 7 Radicals and Rational Exponents**

7.1 Radicals

7.2 Rational Exponents

7.3 Operations with Radicals

7.4 Quotients, Powers, and Rationalizing Denominators

7.5 Solving Equations with Radicals and Exponents

7.6 Complex Numbers

**Chapter 8 Quadratic Equations, Functions, and Inequalities**

8.1 Factoring and Completing the Square

8.2 The Quadratic Formula

8.3 Quadratic Functions and Their Graphs

8.4 More on Quadratic Equations

8.5 Quadratic and Rational Inequalities

**Chapter 9 Additional Function Topics**

9.1 Graphs of Functions and Relations

9.2 Transformations of Graphs

9.3 Combining Functions

9.4 Inverse Functions

9.5 Variation

**Chapter 10 Polynomial and Rational Functions**

10.1 The Factor Theorem

10.2 Zeros of a Polynomial Function

10.3 The Theory of Equations

10.4 Graphs of Polynomial Functions

10.5 Graphs of Rational Functions

**Chapter 11 Exponential and Logarithmic Functions**

11.1 Exponential Functions and Their Applications

11.2 Logarithmic Functions and Their Applications

11.3 Properties of Logarithms

11.4 Solving Equations and Applications

**Chapter 12 Nonlinear Systems and the Conic Sections**

12.1 Nonlinear Systems of Equations

12.2 The Parabola

12.3 The Circle

12.4 The Ellipse and Hyperbola

12.5 Second-Degree Inequalities

**Chapter 13 Sequences and Series**

13.1 Sequences

13.2 Series

13.3 Arithmetic Sequences and Series

13.4 Geometric Sequences and Series

13.5 Binomial Expansions

**Chapter 14 Counting and Probability**

14.1 Counting and Permutations

14.2 Combinations

14.3 Probability

Appendix A Geometry Review Exercises

Appendix B Sets

Appendix C Final Exam Review

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Summary

Algebra for College Students, 4th Edition, is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying theme of this text is the development of the skills necessary for solving equations and inequalities, followed by the application of those skills to solving applied problems. This text contains 2 chapters, Polynomial & Rational Functions, and Counting & Probability, in addition to those found in Dugopolski's Intermediate Algebra.

**New Features**

- NEW: Critical Thinking Exercises for individual or group work now conclude every chapter. These are fun, thought-provoking problems that encourage students to think creatively to solve problems and go beyond the traditional skill-building exercises that most students are used to.
- NEW: Teaching Tips, found in the margins of the AIE, will be especially helpful to instructors who are new to teaching from this book.
- NEW: Every example now refers students to specific exercises so they may immediately apply what they have studied in the example.
- Revised: Each chapter contains a new Math at Work feature, which demonstrates how math is used in real ways in various professions of the working world.

Table of Contents

**Chapter 1 The Real Numbers**

1.1 Sets

1.2 The Real Numbers

1.3 Operations on the Set of Real Numbers

1.4 Evaluating Expressions

1.5 Properties of the Real Numbers

1.6 Using the Properties

**Chapter 2 Linear Equations and Inequalities in One Variable**

2.1 Linear Equations in One Variable

2.2 Formulas

2.3 Applications

2.4 Inequalities

2.5 Compound Inequalities

2.6 Absolute Value Equations and Inequalities

**Chapter 3 Linear Equations and Inequalities in Two Variables**

3.1 Graphing Lines in the Coordinate Plane

3.2 Slope of a Line

3.3 Three Forms for the Equation of a Line

3.4 Linear Inequalities and Their Graphs

3.5 Functions and Relations

**Chapter 4 Systems of Linear Equations**

4.1 Solving Systems by Graphing and Substitution

4.2 The Addition Method

4.3 Systems of Linear Equations in Three Variables

4.4 Solving Linear Systems Using Matrices

4.5 Determinants and Cramer's Rule

4.6 Linear Programming

**Chapter 5 Exponents and Polynomials**

5.1 Integral Exponents and Scientific Notation

5.2 The Power Rules

5.3 Polynomials and Polynomial Functions

5.4 Multiplying Binomials

5.5 Factoring Polynomials

5.6 Factoring ax^2 + bx + c

5.7 Factoring Strategy

5.8 Solving Equations by Factoring

**Chapter 6 Rational Expressions and Functions**

6.1 Properties of Rational Expressions and Functions

6.2 Multiplication and Division

6.3 Addition and Subtraction

6.4 Complex Fractions

6.5 Division of Polynomials

6.6 Solving Equations Involving Rational Expressions

6.7 Applications

**Chapter 7 Radicals and Rational Exponents**

7.1 Radicals

7.2 Rational Exponents

7.3 Operations with Radicals

7.4 Quotients, Powers, and Rationalizing Denominators

7.5 Solving Equations with Radicals and Exponents

7.6 Complex Numbers

**Chapter 8 Quadratic Equations, Functions, and Inequalities**

8.1 Factoring and Completing the Square

8.2 The Quadratic Formula

8.3 Quadratic Functions and Their Graphs

8.4 More on Quadratic Equations

8.5 Quadratic and Rational Inequalities

**Chapter 9 Additional Function Topics**

9.1 Graphs of Functions and Relations

9.2 Transformations of Graphs

9.3 Combining Functions

9.4 Inverse Functions

9.5 Variation

**Chapter 10 Polynomial and Rational Functions**

10.1 The Factor Theorem

10.2 Zeros of a Polynomial Function

10.3 The Theory of Equations

10.4 Graphs of Polynomial Functions

10.5 Graphs of Rational Functions

**Chapter 11 Exponential and Logarithmic Functions**

11.1 Exponential Functions and Their Applications

11.2 Logarithmic Functions and Their Applications

11.3 Properties of Logarithms

11.4 Solving Equations and Applications

**Chapter 12 Nonlinear Systems and the Conic Sections**

12.1 Nonlinear Systems of Equations

12.2 The Parabola

12.3 The Circle

12.4 The Ellipse and Hyperbola

12.5 Second-Degree Inequalities

**Chapter 13 Sequences and Series**

13.1 Sequences

13.2 Series

13.3 Arithmetic Sequences and Series

13.4 Geometric Sequences and Series

13.5 Binomial Expansions

**Chapter 14 Counting and Probability**

14.1 Counting and Permutations

14.2 Combinations

14.3 Probability

Appendix A Geometry Review Exercises

Appendix B Sets

Appendix C Final Exam Review

Publisher Info

Publisher: McGraw-Hill Publishing Company

Published: 2006

International: No

Published: 2006

International: No

Algebra for College Students, 4th Edition, is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying theme of this text is the development of the skills necessary for solving equations and inequalities, followed by the application of those skills to solving applied problems. This text contains 2 chapters, Polynomial & Rational Functions, and Counting & Probability, in addition to those found in Dugopolski's Intermediate Algebra.

**New Features**

- NEW: Critical Thinking Exercises for individual or group work now conclude every chapter. These are fun, thought-provoking problems that encourage students to think creatively to solve problems and go beyond the traditional skill-building exercises that most students are used to.
- NEW: Teaching Tips, found in the margins of the AIE, will be especially helpful to instructors who are new to teaching from this book.
- NEW: Every example now refers students to specific exercises so they may immediately apply what they have studied in the example.
- Revised: Each chapter contains a new Math at Work feature, which demonstrates how math is used in real ways in various professions of the working world.

**Chapter 1 The Real Numbers**

1.1 Sets

1.2 The Real Numbers

1.3 Operations on the Set of Real Numbers

1.4 Evaluating Expressions

1.5 Properties of the Real Numbers

1.6 Using the Properties

**Chapter 2 Linear Equations and Inequalities in One Variable**

2.1 Linear Equations in One Variable

2.2 Formulas

2.3 Applications

2.4 Inequalities

2.5 Compound Inequalities

2.6 Absolute Value Equations and Inequalities

**Chapter 3 Linear Equations and Inequalities in Two Variables**

3.1 Graphing Lines in the Coordinate Plane

3.2 Slope of a Line

3.3 Three Forms for the Equation of a Line

3.4 Linear Inequalities and Their Graphs

3.5 Functions and Relations

**Chapter 4 Systems of Linear Equations**

4.1 Solving Systems by Graphing and Substitution

4.2 The Addition Method

4.3 Systems of Linear Equations in Three Variables

4.4 Solving Linear Systems Using Matrices

4.5 Determinants and Cramer's Rule

4.6 Linear Programming

**Chapter 5 Exponents and Polynomials**

5.1 Integral Exponents and Scientific Notation

5.2 The Power Rules

5.3 Polynomials and Polynomial Functions

5.4 Multiplying Binomials

5.5 Factoring Polynomials

5.6 Factoring ax^2 + bx + c

5.7 Factoring Strategy

5.8 Solving Equations by Factoring

**Chapter 6 Rational Expressions and Functions**

6.1 Properties of Rational Expressions and Functions

6.2 Multiplication and Division

6.3 Addition and Subtraction

6.4 Complex Fractions

6.5 Division of Polynomials

6.6 Solving Equations Involving Rational Expressions

6.7 Applications

**Chapter 7 Radicals and Rational Exponents**

7.1 Radicals

7.2 Rational Exponents

7.3 Operations with Radicals

7.4 Quotients, Powers, and Rationalizing Denominators

7.5 Solving Equations with Radicals and Exponents

7.6 Complex Numbers

**Chapter 8 Quadratic Equations, Functions, and Inequalities**

8.1 Factoring and Completing the Square

8.2 The Quadratic Formula

8.3 Quadratic Functions and Their Graphs

8.4 More on Quadratic Equations

8.5 Quadratic and Rational Inequalities

**Chapter 9 Additional Function Topics**

9.1 Graphs of Functions and Relations

9.2 Transformations of Graphs

9.3 Combining Functions

9.4 Inverse Functions

9.5 Variation

**Chapter 10 Polynomial and Rational Functions**

10.1 The Factor Theorem

10.2 Zeros of a Polynomial Function

10.3 The Theory of Equations

10.4 Graphs of Polynomial Functions

10.5 Graphs of Rational Functions

**Chapter 11 Exponential and Logarithmic Functions**

11.1 Exponential Functions and Their Applications

11.2 Logarithmic Functions and Their Applications

11.3 Properties of Logarithms

11.4 Solving Equations and Applications

**Chapter 12 Nonlinear Systems and the Conic Sections**

12.1 Nonlinear Systems of Equations

12.2 The Parabola

12.3 The Circle

12.4 The Ellipse and Hyperbola

12.5 Second-Degree Inequalities

**Chapter 13 Sequences and Series**

13.1 Sequences

13.2 Series

13.3 Arithmetic Sequences and Series

13.4 Geometric Sequences and Series

13.5 Binomial Expansions

**Chapter 14 Counting and Probability**

14.1 Counting and Permutations

14.2 Combinations

14.3 Probability

Appendix A Geometry Review Exercises

Appendix B Sets

Appendix C Final Exam Review