9780077224820

Elementary and Intermediate Algebra

by
  • ISBN13:

    9780077224820

  • ISBN10:

    0077224825

  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 1/9/2008
  • Publisher: McGraw-Hill Science/Engineering/Math
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Summary

Elementary & Intermediate Algebra, 3eis part of the latest offerings in the successful Dugopolski series in mathematics. The author's goal is to explain mathematical concepts to students in a language they can understand. In this book, students and faculty will find short, precise explanations of terms and concepts written in understandable language. The author uses concrete analogies to relate math to everyday experiences. For example, when the author introduces the Commutative Property of Addition, he uses a concrete analogy that "the price of a hamburger plus a Coke is the same as a Coke plus a hamburger". Given the importance of examples within a math book, the author has paid close attention to the most important details for solving the given topic. Dugopolski includes a double cross-referencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other. Finally, the author finds it important to not only provide quality, but also a good quantity of exercises and applications. The Dugopolski series is known for providing students and faculty with the most quantity and quality of exercises as compared to any other developmental math series on the market. In completing this revision, Dugopolski feels he has developed the clearest and most concise developmental math series on the market, and he has done so without comprising the essential information every student needs to become successful in future mathematics courses. The book is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone.

Table of Contents

To the student preface
Real Numbers and Their Properties
The Real Numbers
Fractions
Addition and Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Exponential Expressions and the Order of Operations
Algebraic Expressions
Properties of the Real Numbers
Using the Properties to Simplify Expressions
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •
Test • Critical Thinking
Linear Equations and Inequalities in One Variable
The Addition and Multiplication Properties of Equality
Solving General Linear Equations
More Equations
Formulas
Translating Verbal Expressions into Algebraic Expressions
Number, Geometric, and Uniform Motion Applications
Discount, Investment, and Mixture Applications
Inequalities
Solving Inequalities and Applications
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •
Test • Making Connections
A review of Chapters 1-2 • Critical Thinking
Linear Equations and Inequalities in Two Variables
Graphing Lines in the Coordinate Plane
Slope
Equations of Lines in Slope-Intercept Form
The Point-Slope Form
Variations
Graphing Linear Inequalities in Two Variables
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •
Test • Making Connections
a review of Chapters 1-3 • Critical Thinking
Exponents and Polynomials
The Rules of Exponents
Negative Exponents and Scientific Notation
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Multiplication of Binomials
Special Products
Division of Polynomials
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •
Test • Making Connections
a review of Chapters 1-4 • Critical Thinking
Factoring
Factoring Out Common Factors
Special Products and Grouping
Factoring the Trinomial ax▓ + bx + c with a = 1
Factoring the Trinomial ax▓ + bx + c with a ┐ 1
The Factoring Strategy
Solving Quadratic Equations by Factoring
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •
Test • Making Connections
a review of Chapters 1-5 • Critical Thinking
Rational Expressions
Reducing Rational Expressions
Multiplication and Division
Finding the Least Common Denominator
Addition and Subtraction
Complex Fractions
Solving Equations with Rational Expressions
Applications of Ratios and Proportions
Applications of Rational Expressions
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •
Test • Making Connections
a review of Chapters 1-6 • Critical Thinking
Systems of Linear Equations
Solving Systems by Graphing and Substitution
The Addition Method
Systems of Linear Equations in Three Variables
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •
Test • Making Connections
a review of Chapters 1-7 • Critical Thinking
More on Inequalities
Compound Inequalities in One Variable
Absolute Value Equations and Inequalities
Compound Inequalities in Two Variables
Linear Programming
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •
Test • Making Connections
a review of Chapters 1-8 • Critical Thinking
Radicals and Rational Exponents
Radicals
Rational Exponents
Adding, Subtracting, and Multiplying Radicals
Quotients, Powers, and Rationalizing Denominators
Solving Equations with Radicals and Exponents
Complex Numbers
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •
Test • Making Connections
a review of Chapters 1-9 • Critical Thinking
Quadratic Equations and Inequalities
Factoring and Completing the Square
The Quadratic Formula
More on Quadratic Equations
Graphing Parabolas
Quadratic and Rational Inequalities
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •
Test • Making Connections
a review of Chapters 1-10 • Critical Thinking
Functions
Functions and Relations
Graphs of Functions and Relations
Transformations of Graphs
Graphs of Polynomial Functions
Graphs of Rational Functions
Combining Functions
Inverse Functions
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •
Test • Making Connections
a review of Chapters 1-11 • Critical Thinking
Exponential and Logarithmic Functions
Exponential Functions and Their Applications
Logarithmic Functions and Their Applications
Properties of Logarithms
Solving Equations and Applications
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •
Test • Making Connections
a review of Chapters 1-12 • Critical Thinking
Nonlinear Systems and the Conic Sections
Nonlinear Systems of Equations
The Parabola
The Circle
The Ellipse and Hyperbola
Second-Degree Inequalities
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •
Test • Making Connections
a review of Chapters 1-13 • Critical Thinking
Sequences and Series
Sequences
Series
Arithmetic Sequences and Series
Geometric Sequences and Series
Binomial Expansions
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •
Test • Making Connections
A Review of Chapter 1-14 • Critical Thinking
Geometry Review Exercises
Sets
Chapters 1-6 Diagnostic Test
Chapters 1-6 Review Answers to
Selected Exercises
Index
Table of Contents provided by Publisher. All Rights Reserved.

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