Beginning Algebra / Edition 2

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Overview

The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning Algebra 3e. The practice of many instructors in the classroom is to present examples and have their students solve similar problems. This is realized through the Skill Practice Exercises that directly follow the examples in the textbook. Throughout the text, the authors have integrated many Study Tips and Avoiding Mistakes hints, which are reflective of the comments and instruction presented to students in the classroom. In this way, the text communicates to students the very points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. The authors included in this edition Problem-Recognition Exercises, that many instructors will likely identify to be similar to worksheets they have personally developed for distribution to students. The intent of the Problem-Recognition exercises is to help students overcome what is sometimes a natural inclination toward applying problem-solving algorithms that may not always be appropriate. In addition, the exercise sets have been revised to include even more core exercises than were present in the previous edition. This permits instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills and develop the knowledge they need to make a successful transition into College Algebra. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class as they do inside class with their instructor. For even more support, students have access to a wealth of supplements, including McGraw-Hill’s online homework management system, MathZone.

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Product Details

  • ISBN-13: 9780073312675
  • Publisher: McGraw-Hill Companies, The
  • Publication date: 1/9/2007
  • Edition description: Older Edition
  • Edition number: 2
  • Pages: 832
  • Product dimensions: 8.70 (w) x 11.10 (h) x 1.33 (d)

Meet the Author

Julie Miller has been on the faculty in the School of Mathematics at Daytona State College for 20 years, where she has taught developmental and upper-level courses. Prior to her work at DSC, 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.

Molly O'Neill is also 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 Mathamatics 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 in 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.

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.

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Table of Contents

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

Problem Recognition Exercises—Addition and Subtraction of Real Numbers1.6 Multiplication and Division of Real Numbers

Problem Recognition Exercises—Adding, Subtracting, Multiplying, and Dividing Real Numbers1.7 Properties of Real Numbers and Simplifying ExpressionsChapter 2: Linear Equations and Inequalities 2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality 2.2 Solving Linear Equations2.3 Linear Equations: Clearing Fractions and Decimals

Problem Recognition Exercises—Equations vs.Expressions2.4 Applications of Linear Equations: Introduction to Problem Solving2.5 Applications Involving Percents2.6 Formulas and Applications of Geometry2.7 Mixture Applications and Uniform Motion2.8 Linear InequalitiesChapter 3: Graphing Linear Equations in Two Variables 3.1 Rectangular Coordinate System3.2 Linear Equations in Two Variables3.3 Slope of a Line and Rate of Change3.4 Slope-Intercept Form of a Linear Equation

Problem Recognition Exercises—Linear Equations in Two Variables3.5 Point-Slope Formula3.6 Applications of Linear Equations and ModelingChapter 4: Systems of Linear Equations in Two Variables 4.1 Solving Systems of Equations by the Graphing Method4.2 Solving Systems of Equations by the Substitution Method4.3 Solving Systems of Equations by the Addition Method

Problem Recognition Exercises—Systems of Equations4.4 Applications of Linear Equations in Two Variables4.5 Linear Inequalities and Systems of Inequalities in Two VariablesChapter 5: Polynomials and Properties of Exponents 5.1 Multiplying and Dividing Expressions with Common Bases5.2 More Properties of Exponents5.3 Definitions of and Problem Recognition Exercises—Properties of Exponents5.4 Scientific Notation5.5 Addition and Subtraction of Polynomials5.6 Multiplication of Polynomials and Special Products5.7 Division of Polynomials

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

Problem Recognition Exercises—Factoring Strategy6.7 Solving Equations Using the Zero Product Rule

Problem Recognition Exercises— Polynomial Expressions versus Polynomial Equations6.8 Applications of Quadratic EquationsChapter 7: Rational Expressions and Equations7.1 Introduction to Rational Expressions7.2 Multiplication and Division of Rational Expressions7.3 Least Common Denominator7.4 Addition and Subtraction of Rational Expressions

Problem Recognition Exercises—Operations on Rational Expressions7.5 Complex Fractions7.6 Rational Equations

Problem Recognition Exercises—Comparing Rational Equations and Rational Expressions7.7 Applications of Rational Equations and Proportions7.8 VariationChapter 8: Radicals 8.1 Introduction to Roots and Radicals8.2 Simplifying Radicals8.3 Addition and Subtraction of Radicals8.4 Multiplication of Radicals8.5 Division of Radicals and Rationalization

Problem Recognition Exercises—Operations on Radicals8.6 Radical Equations8.7 Rational ExponentsChapter 9: Quadratic Equations, Complex Numbers, and Functions 9.1 The Square Root Property9.2 Completing the Square9.3 Quadratic Formula

Problem Recognition Exercises—Solving Different Types of Equations9.4 Complex Numbers9.5 Graphing Quadratic Equations9.6 Introduction to Functions Additional Topics Appendix A.1 Decimals and PercentsA.2 Mean, Median, and ModeA.3 Introduction to GeometryA.4 Converting Units of Measurement

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