Elementary and Intermediate Algebra / Edition 4

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Overview

The Dugopolski series in developmental mathematics has helped thousands of students succeed in their developmental math courses. Elementary & Intermediate Algebra, 4e is part of the latest offerings in the successful Dugopolski series in mathematics. In his books, students and faculty will find short, precise explanations of terms and concepts written in clear, understandable language that is mathematically accurate. Dugopolski also includes a double cross-referencing system between the examples and exercise sets, so no matter where the students start, they will see the connection between the two. Finally, the author finds it important to not only provide quality but also a wide variety and quantity of exercises and applications.

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Product Details

  • ISBN-13: 9780073384351
  • Publisher: McGraw-Hill Higher Education
  • Publication date: 1/6/2011
  • Edition description: New Edition
  • Edition number: 4
  • Pages: 1056
  • Sales rank: 777,301
  • Product dimensions: 8.80 (w) x 10.00 (h) x 1.50 (d)

Meet 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.

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Table of Contents

PREFACE
APPLICATIONS INDEX
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 and Functions
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 and Inequalities in Two Variables
3.1 Graphing Lines in the Coordinate Plane
3.2 Slope
3.3 Equations of Lines in Slope-Intercept Form
3.4 The Point-Slope Form
3.5 Variations
3.6 Graphing Linear Inequalities in Two Variables
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 Exponents and Polynomials
4.1 The Rules of Exponents
4.2 Negative Exponents
4.3 Scientific Notation
4.4 Addition and Subtraction of Polynomials
4.5 Multiplication of Polynomials
4.6 Multiplication of Binomials
4.7 Special Products
4.8 Division of Polynomials
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 Factoring
5.1 Factoring Out Common Factors
5.2 Special Products and Grouping
5.3 Factoring the Trinomial ax² + bx + c with a = 1
5.4 Factoring the Trinomial ax² + bx + c with a ≠ 1
5.5 Difference and Sum of Cube and a Strategy
5.6 Solving Quadratic Equations by Factoring
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 Rational Expressions
6.1 Reducing Rational Expressions
6.2 Multiplication and Division
6.3 Finding the Least Common Denominator
6.4 Addition and Subtraction
6.5 Complex Fractions
6.6 Solving Equations with Rational Expressions
6.7 Applications of Ratios and Proportions
6.8 Applications of Rational Expressions
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 Systems of Linear Equations
7.1 The Graphing Method
7.2 The Substitution Method
7.3 The Addition Method
7.4 Systems of Linear Equations in Three Variables
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 More on Inequalities
8.1 Compound Inequalities in One Variable
8.2 Absolute Value Equations and Inequalities
8.3 Compound Inequalities in Two Variables
8.4 Linear Programming
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 Radicals and Rational Exponents
9.1 Radicals
9.2 Rational Exponents
9.3 Adding, Subtracting, and Multiplying Radicals
9.4 Quotients, Powers, and Rationalizing Denominators
9.5 Solving Equations with Radicals and Exponents
9.6 Complex Numbers
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
10 Quadratic Equations and Inequalities
10.1 Factoring and Completing the Square
10.2 The Quadratic Formula
10.3 More on Quadratic Equations
10.4 Graphing Quadratic Functions
10.5 Quadratic Inequalities
Chapter 10 Wrap-Up
• Summary
• Enriching Your Mathematical Word Power
• Review Exercises
• Chapter 10 Test
• Making Connections: a review of Chapters 1-10
• Critical Thinking
11 Functions
11.1 Functions and Relations
11.2 Graphs of Functions and Relations
11.3 Transformations of Graphs
11.4 Graphs of Polynomial Functions
11.5 Graphs of Rational Functions
11.6 Combining Functions
11.7 Inverse Functions
Chapter 11 Wrap-Up
• Summary
• Enriching Your Mathematical Word Power
• Review Exercises
• Chapter 11 Test
• Making Connections: a review of Chapters 1-11
• Critical Thinking
12 Exponential and Logarithmic Functions
12.1 Exponential Functions and Their Applications
12.2 Logarithmic Functions and Their Applications
12.3 Properties of Logarithms
12.4 Solving Equations and Applications
Chapter 12 Wrap-Up
• Summary
• Enriching Your Mathematical Word Power
• Review Exercises
• Chapter 12 Test
• Making Connections: a review of Chapters 1-12
• Critical Thinking
13 Nonlinear Systems and the Conic Sections
13.1 Nonlinear Systems of Equations
13.2 The Parabola
13.3 The Circle
13.4 The Ellipse and Hyperbola
13.5 Second-Degree Inequalities
Chapter 13 Wrap-Up
• Summary
• Enriching Your Mathematical Word Power
• Review Exercises
• Chapter 13 Test
• Making Connections: a review of Chapters 1-13
• Critical Thinking
14 Sequences and Series (Available online at www.mhhe.com/dugopolski)
14.1 Sequences
14.2 Series
14.3 Arithmetic Sequences and Series
14.4 Geometric Sequences and Series
14.5 Binomial Expansions
Chapter 14 Wrap-Up
• Summary
• Enriching Your Mathematical Word Power
• Review Exercises
• Chapter 14 Test
• Making Connections: A Review of Chapter 1-14
• Critical Thinking
Appendix A: Geometry Review Exercises
Appendix B: Sets
Appendix C: Chapters 1-6 Diagnostic Test
Appendix D: Chapters 1-6 Review
Answers to Selected Exercises
Index

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