ISBN-10:
0073340758
ISBN-13:
9780073340753
Pub. Date:
01/08/2008
Publisher:
McGraw-Hill Higher Education
Student's Solutions Manual for Elementary Algebra / Edition 6

Student's Solutions Manual for Elementary Algebra / Edition 6

by Mark DugopolskiMark Dugopolski

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Overview

Student Solutions Manual: The Student’s Solutions Manual provides comprehensive, worked-out solutions to all of the odd-numbered exercises. The steps shown in the solutions match the style of solved examples in the textbook.

Product Details

ISBN-13: 9780073340753
Publisher: McGraw-Hill Higher Education
Publication date: 01/08/2008
Edition description: New Edition
Pages: 248
Product dimensions: 8.40(w) x 10.80(h) x 0.40(d)

About the Author

Mark Dugopolski was born and raised in Menominee, Michigan. He received a degree in mathematics education from Michigan State University and then taught high school mathematics in the Chicago area. While teaching high school, he received a master's degree in mathematics from Northern Illinois University. He then entered a doctoral program in mathematics at the University of Illinois in Champaign, where he earned his doctorate in topology in 1977. He was then appointed to the faculty at Southeastern Louisiana University, where he now holds the position of professor of mathematics. He has taught high school and college mathematics for over 30 years. He is a member of the MAA, the AMS, and the AMATYC. He has written many articles and mathematics textbooks. He has a wife and two daughters. When he is not working, he enjoys hiking, bicycling, jogging, tennis, fishing, and motorcycling.

Table of Contents

TO THE STUDENT

PREFACE

1 Real Numbers and Their Properties

1.1
The Real Numbers

1.2
Fractions

1.3
Addition and Subtraction of Real Numbers

1.4
Multiplication and Division of Real Numbers

1.5
Exponential Expressions and the Order of Operations

1.6
Algebraic Expressions

1.7
Properties of the Real Numbers

1.8
Using the Properties to Simplify Expressions


Chapter 1 Wrap-Up


Summary


Enriching Your Mathematical Word Power


Review Exercises


Chapter 1 Test


Critical Thinking

2 Linear Equations and Inequalities in One Variable
2

.1
The Addition and Multiplication Properties of Equality

2.2
Solving General Linear Equations

2.3
More Equations

2.4
Formulas

2.5
Translating Verbal Expressions into Algebraic Expressions

2.6
Number, Geometric, and Uniform Motion Applications

2.7
Discount, Investment, and Mixture Applications

2.8
Inequalities

2.9
Solving Inequalities and Applications


Chapter 2 Wrap-Up


Summary


Enriching Your Mathematical Word Power


Review Exercises


Chapter 2 Test


Making Connections: A review of Chapters 1-2


Critical Thinking

3 Linear Equations in Two Variables and Their Graphs

3.1
Graphing Lines in the Coordinate Plane

3.2
Slope

3.3
Equations of Lines in Slope-Intercept Form

3.4
The Point-SlopeForm

3.5
Variations


Chapter 3 Wrap-Up


Summary


Enriching Your Mathematical Word Power


Review Exercises


Chapter 3 Test


Making Connections: a review of Chapters 1-3


Critical Thinking

4 Systems of Linear Equations and Inequalities

4.1
The Graphing Method

4.2
The Substitution Method

4.3
The Addition Method

4.4
Graphing Linear Inequalities in Two Variables

4.5
Graphing Systems of Linear Inequalities


Chapter 4 Wrap-Up


Summary


Enriching Your Mathematical Word Power


Review Exercises


Chapter 4 Test


Making Connections: a review of Chapters 1-4


Critical Thinking

5 Exponents and Polynomials

5.1
The Rules of Exponents

5.2
Negative Exponents and Scientific Notation

5.3
Addition and Subtraction of Polynomials

5.4
Multiplication of Polynomials

5.5
Multiplication of Binomials

5.6
Special Products

5.7
Division of Polynomials


Chapter 5 Wrap-Up


Summary


Enriching Your Mathematical Word Power


Review Exercises


Chapter 5 Test


Making Connections: a review of Chapters 1-5


Critical Thinking

6 Factoring

6.1
Factoring Out Common Factors

6.2
Special Products and Grouping

6.3
Factoring the Trinomial ax² + bx + c with a = 1

6.4
Factoring the Trinomial ax² + bx + c with a ¿ 1

6.5
The Factoring Strategy

6.6
Solving Quadratic Equations by Factoring


Chapter 6 Wrap-Up


Summary


Enriching Your Mathematical Word Power


Review Exercises


Chapter 6 Test


Making Connections: a review of Chapters 1-6


Critical Thinking

7 Rational Expressions

7.1
Reducing Rational Expressions

7.2
Multiplication and Division

7.3
Finding the Least Common Denominator

7.4
Addition and Subtraction

7.5
Complex Fractions

7.6
Solving Equations with Rational Expressions

7.7
Applications of Ratios and Proportions

7.8
Applications of Rational Expressions


Chapter 7 Wrap-Up


Summary


Enriching Your Mathematical Word Power


Review Exercises


Chapter 7 Test


Making Connections: a review of Chapters 1-7


Critical Thinking

8 Powers and Roots

8.1
Roots, Radicals, and Rules

8.2
Simplifying Square Roots

8.3
Operations with Radicals

8.4
Solving Equations with Radicals and Exponents

8.5
Fractional Exponents


Chapter 8 Wrap-Up


Summary


Enriching Your Mathematical Word Power


Review Exercises


Chapter 8 Test


Making Connections: a review of Chapters 1-8


Critical Thinking

9 Quadratic Equations, Parabolas, and Functions

9.1
The Square Root Property and Factoring

9.2
Completing the Square

9.3
The Quadratic Formula

9.4
Applications of Quadratic Equations

9.5
Complex Numbers

9.6
Graphing Parabolas

9.7
Introduction to Functions

9.8
Combining Functions


Chapter 9 Wrap-Up


Summary


Enriching Your Mathematical Word Power


Review Exercises


Chapter 9 Test


Making Connections: a review of Chapters 1-9


Critical Thinking

Appendix A: Geometry Review Exercises
Appendix B: Sets
Appendix C: Final Exam Review
Answers to Selected Exercises
Index

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