Introductory Algebra / Edition 2

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Get Better Results with high quality content, exercise sets, and step-by-step pedagogy!

The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Introductory Algebra. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students. Throughout the text, the authors communicate 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. Also included are Problem Recognition Exercises, designed to help students recognize which solution strategies are most appropriate for a given exercise. These types of exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. 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.

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Product Details

  • ISBN-13: 9780077281120
  • Publisher: McGraw-Hill Higher Education
  • Publication date: 11/10/2008
  • Edition description: Older Edition
  • Edition number: 2
  • Pages: 832
  • Sales rank: 1,324,391
  • Product dimensions: 8.50 (w) x 10.80 (h) x 1.00 (d)

Meet the Author

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.

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.

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Table of Contents

Preface     x
Reference     1
Study Tips     2
Fractions     3
Decimals and Percents     19
Introduction to Geometry     30
Set of Real Numbers     47
Preview     48
Sets of Numbers and the Real Number Line     49
Order of Operations     61
Addition of Real Numbers     72
Subtraction of Real Numbers     81
Midchapter Review     90
Multiplication and Division of Real Numbers     90
Properties of Real Numbers and Simplifying Expressions     103
Summary     116
Review Exercises     120
Test     123
Linear Equations and Inequalities     125
Preview     126
Addition, Subtraction, Multiplication, and Division Properties of Equality     127
Solving Linear Equations     138
Linear Equations: Clearing Fractions and Decimals     147
Midchapter Review     154
Applications of Linear Equations: Introduction to Problem Solving     155
Applications Involving Percents     167
Formulas and Applications of Geometry     175
Linear Inequalities     186
Summary     203
Review Exercises     209
Test     213
Cumulative Review Exercises Chapters 1-2     214
Graphing Linear Equations in Two Variables     217
Preview     218
Rectangular Coordinate System     219
Linear Equations in Two Variables     230
Slope of a Line     249
Slope-Intercept Form of a Line     265
Midchapter Review     276
Point-Slope Formula     278
Applications of Linear Equations     289
Introduction to Functions     301
Summary     317
Review Exercises     324
Test     330
Cumulative Review Exercises Chapters 1-3     333
Systems of Linear Equations in Two Variables     335
Preview     336
Solving Systems of Equations by the Graphing Method     337
Solving Systems of Equations by the Substitution Method     349
Solving Systems of Equations by the Addition Method     358
Midchapter Review     369
Applications of Linear Equations in Two Variables     371
Linear Inequalities in Two Variables     381
Summary     393
Review Exercises     398
Test     402
Cumulative Review Exercises Chapters 1-4     404
Polynomials and Properties of Exponents     407
Preview     408
Exponents: Multiplying and Dividing Common Bases     409
More Properties of Exponents     420
Definitions of b[superscript 0] and b[superscript -n]     425
Scientific Notation     434
Midchapter Review     443
Addition and Subtraction of Polynomials     444
Multiplication of Polynomials     456
Division of Polynomials     467
Summary     475
Review Exercises     479
Test     483
Cumulative Review Exercises Chapters 1-5     484
Factoring Polynomials     487
Preview     488
Greatest Common Factor and Factoring by Grouping     489
Factoring Trinomials: Grouping Method     499
Factoring Trinomials: Trial-and-Error Method     507
Factoring Perfect Square Trinomials and the Difference of Squares     517
Midchapter Review     525
Factoring the Sum and Difference of Cubes and General Factoring Summary     527
Solving Equations Using the Zero Product Rule      536
Summary     550
Review Exercises     553
Test     555
Cumulative Review Exercises Chapters 1-6     557
Rational Expressions     559
Preview     560
Introduction to Rational Expressions     561
Multiplication and Division of Rational Expressions     572
Least Common Denominator     578
Addition and Subtraction of Rational Expressions     586
Midchapter Review     597
Complex Fractions     598
Rational Equations     605
Applications of Rational Equations and Proportions     616
Direct and Inverse Variation (Optional)     628
Summary     637
Review Exercises     645
Test     648
Cumulative Review Exercises Chapters 1-7     649
Radicals     653
Preview     654
Introduction to Roots and Radicals     655
Simplifying Radicals     668
Addition and Subtraction of Radicals     678
Multiplication of Radicals     685
Midchapter Review     692
Rationalization     693
Radical Equations     700
Rational Exponents      707
Summary     716
Review Exercises     720
Test     723
Cumulative Review Exercises Chapters 1-8     725
More Quadratic Equations     729
Preview     730
The Square Root Property and Completing the Square     731
Quadratic Formula     740
9 Midchapter Review     749
Graphing Quadratic Functions     749
Summary     764
Review Exercises     766
Test     769
Cumulative Review Exercises Chapters 1-9     770
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