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McGraw-Hill Companies, The
Beginning Algebra / Edition 2

Beginning Algebra / Edition 2


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Product Details

ISBN-13: 9780073312675
Publisher: McGraw-Hill Companies, The
Publication date: 01/09/2007
Edition description: Older Edition
Pages: 832
Product dimensions: 8.70(w) x 11.10(h) x 1.33(d)

About the Author

Molly ONeill is from Daytona State College, where she has taught for 22 years in the School of Mathematics. She has taught a variety of courses from developmental mathematics to calculus. Before she came to Florida, Molly taught as an adjunct instructor at the University of Michigan-Dearborn, Eastern Michigan University, Wayne State University, and Oakland Community College. Molly earned a bachelor of science in mathematics and a master of arts and teaching from Western Michigan University in Kalamazoo, Michigan. Besides this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus and has reviewed texts for developmental mathematics.
I differ from many of my colleagues in that math was not always easy for me. But in seventh grade I had a teacher who taught me that if I follow the rules of mathematics, even I could solve math problems. Once I understood this, I enjoyed math to the point of choosing it for my career. I now have the greatest job because I get to do math every day and I have the opportunity to influence my students just as I was influenced. Authoring these texts has given me another avenue to reach even more students.
Nancy Hyde served as a full-time faculty member of the Mathematics Department at Broward College for 24 years. During this time she taught the full spectrum of courses from developmental math through differential equations. She received a bachelor of science degree in math education from Florida State University and a master’s degree in math education from Florida Atlantic University. She has conducted workshops and seminars for both students and teachers on the use of technology in the classroom. In addition to this textbook, she has authored a graphing calculator supplement for College Algebra.

I grew up in Brevard County, Florida, where my father worked at Cape Canaveral. I was always excited by mathematics and physics in relation to the space program. As I studied higher levels of mathematics I became more intrigued by its abstract nature and infinite possibilities. It is enjoyable and rewarding to convey this perspective to students while helping them to understand mathematics.
Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers.
My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and I’d like to see math come alive for my students.

Table of Contents

Beginning Algebra, Miller, O'Neill, Hyde, 5 editionChapter 1: The Set of Real Numbers1.1Fractions1.2Introduction to Algebra and the Set of Real Numbers1.3Exponents, Square Roots, and the Order of Operations1.4Addition of Real Numbers1.5Subtraction of Real Numbers

Problem Recognition Exercises—Addition and Subtraction of Real Numbers

1.6Multiplication and Division of Real Numbers

Problem Recognition Exercises—Adding, Subtracting, Multiplying, and Dividing Real Numbers

1.7Properties of Real Numbers and Simplifying ExpressionsChapter 2:Linear Equations and Inequalities 2.1Addition, Subtraction, Multiplication, and Division Properties of Equality2.2Solving Linear Equations2.3Linear Equations: Clearing Fractions and Decimals

Problem Recognition Exercises—Equations vs.Expressions

2.4Applications of Linear Equations: Introduction to Problem Solving2.5Applications Involving Percents2.6Formulas and Applications of Geometry2.7Mixture Applications and Uniform Motion2.8Linear InequalitiesChapter 3:Graphing Linear Equations in Two Variables 3.1Rectangular Coordinate System3.2Linear Equations in Two Variables3.3Slope of a Line and Rate of Change3.4Slope-Intercept Form of a Linear Equation

Problem Recognition Exercises—Linear Equations in Two Variables

3.5Point-Slope Formula3.6Applications of Linear Equations and ModelingChapter 4:Systems of Linear Equations in Two Variables 4.1Solving Systems of Equations by the Graphing Method4.2Solving Systems of Equations by the Substitution Method4.3Solving Systems of Equations by the Addition Method

Problem Recognition Exercises—Systems of Equations

4.4Applications of Linear Equations in Two Variables4.5Linear Inequalities and Systems of Inequalities in Two VariablesChapter 5:Polynomials and Properties of Exponents 5.1Multiplying and Dividing Expressions with Common Bases5.2More Properties of Exponents5.3Definitions of b^0 and b^-nProblem Recognition Exercises—Properties of Exponents5.4Scientific Notation5.5Addition and Subtraction of Polynomials5.6Multiplication of Polynomials and Special Products5.7Division of Polynomials

Problem Recognition Exercises—Operations on Polynomials

Chapter 6:Factoring Polynomials 6.1Greatest Common Factor and Factoring by Grouping6.2Factoring Trinomials of the Form x^2 + bx + c 6.3Factoring Trinomials: Trial-and-Error Method6.4Factoring Trinomials: AC-Method6.5Difference of Squares and Perfect Square Trinomials6.6Sum and Difference of Cubes

Problem Recognition Exercises—Factoring Strategy

6.7Solving Equations Using the Zero Product Rule

Problem Recognition Exercises— Polynomial Expressions versus Polynomial Equations

6.8Applications of Quadratic EquationsChapter 7:Rational Expressions and Equations7.1Introduction to Rational Expressions7.2Multiplication and Division of Rational Expressions7.3Least Common Denominator7.4Addition and Subtraction of Rational Expressions

Problem Recognition Exercises—Operations on Rational Expressions

7.5Complex Fractions7.6Rational Equations

Problem Recognition Exercises—Comparing Rational Equations and Rational Expressions

7.7Applications of Rational Equations and Proportions7.8VariationChapter 8:Radicals 8.1Introduction to Roots and Radicals8.2Simplifying Radicals8.3Addition and Subtraction of Radicals8.4Multiplication of Radicals8.5Division of Radicals and Rationalization

Problem Recognition Exercises—Operations on Radicals

8.6Radical Equations8.7Rational ExponentsChapter 9:Quadratic Equations, Complex Numbers, and Functions 9.1The Square Root Property9.2Completing the Square9.3Quadratic Formula

Problem Recognition Exercises—Solving Different Types of Equations

9.4Complex Numbers9.5Graphing Quadratic Equations9.6Introduction to Functions Additional Topics Appendix A.1Decimals and PercentsA.2Mean, Median, and ModeA.3Introduction to GeometryA.4Converting Units of Measurement
Appendix B (Online): Introduction to Modeling

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