Intermediate Algebra

by Dugopolski, Mark

• ISBN13: 9780073384573
• ISBN10: 0073384577
• Edition: 7th
• Format: Hardcover
• Copyright: 2011-01-13
• Publisher: McGraw-Hill Education

Summary

The Dugopolski series in developmental mathematics has helped thousands of students succeed in their developmental math courses. Intermediate Algebra,3eis 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.

Table of Contents

PREFACE
APPLICATIONS INDEX
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 and the Order of Operations
1.5 Properties of the Real Numbers
1.6 Using the Properties
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 Linear Equations in One Variable
2.2 Formulas and Functions
2.3 Applications
2.4 Inequalities
2.5 Compound Inequalities
2.6 Absolute Value Equations and Inequalities
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 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 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
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 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 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 ax² + bx + c
5.7 Factoring Strategy
5.8 Solving 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 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 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 Radicals and Rational Exponents
7.1 Radicals
7.2 Rational Exponents
7.3 Adding, Subtracting, and Multiplying Radicals
7.4 Quotients, Powers, and Rationalizing Denominators
7.5 Solving Equations with Radicals and Exponents
7.6 Complex Numbers
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 Quadratic Equations, Functions, and Inequalities
8.1 Factoring and Completing the Square
8.2 The Quadratic Formula
8.3 More on Quadratic Equations
8.4 Quadratic Functions and Their Graphs
8.5 Quadratic Inequalities
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 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 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 Exponential and Logarithmic Functions
10.1 Exponential Functions and Their Applications
10.2 Logarithmic Functions and Their Applications
10.3 Properties of Logarithms
10.4 Solving Equations and Applications
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 Nonlinear Systems and the Conic Sections
11.1 Nonlinear Systems of Equations
11.2 The Parabola
11.3 The Circle
11.4 The Ellipse and Hyperbola
11.5 Second-Degree Inequalities
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 Sequences and Series (Available online at www.mhhe.com/dugopolski)
12.1 Sequences
12.2 Series
12.3 Arithmetic Sequences and Series
12.4 Geometric Sequences and Series
12.5 Binomial Expansions
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
Appendix A
Answers to Selected Exercises
Index