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McGraw-Hill Higher Education
Intermediate Algebra (Hardcover) / Edition 3

Intermediate Algebra (Hardcover) / Edition 3

by Julie Miller


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Intermediate Algebra (Hardcover) / Edition 3

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 Intermediate Algebra 4e. 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.

Product Details

ISBN-13: 2900077349942
Publisher: McGraw-Hill Higher Education
Publication date: 01/07/2010
Edition description: Older Edition
Pages: 843
Product dimensions: 6.50(w) x 1.50(h) x 9.50(d)

About 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.

Table of Contents

Chapter RReview of Basic Algebraic Concepts

Section R.1Study Tips

Group Activity: Becoming a Successful Student

Section R.2Sets of Numbers and Interval Notation

Section R.3Operations on Real Numbers

Section R.4Simplifying Algebraic Expressions

Chapter R Summary

Chapter R Review Exercises

Chapter R Test

Chapter 1Linear Equations and Inequalities in One Variable

Section 1.1Linear Equations in One Variable

Problem Recognition Exercises: Equations versus Expressions

Section 1.2Applications of Linear Equations in One Variable

Section 1.3Applications to Geometry and Literal Equations

Section 1.4Linear Inequalities in One Variable

Section 1.5Compound Inequalities

Section 1.6Absolute Value Equations

Section 1.7Absolute Value Inequalities

Problem Recognition Exercises: Identifying Equations and Inequalities

Group Activity: Understanding the Symbolism of Mathematics

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Test

Chapter 2Linear Equations in Two Variables and Functions

Section 2.1Linear Equations in Two Variables

Section 2.2Slope of a Line and Rate of Change

Section 2.3Equations of a Line

Problem Recognition Exercises: Characteristics of Linear Equations

Section 2.4Applications of Linear Equations and Modeling

Section 2.5Introduction to Relations

Section 2.6Introduction to Functions

Section 2.7Graphs of Basic Functions

Problem Recognition Exercises: Characteristics of Relations

Group Activity: Deciphering a Coded Message

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Test

Chapters 1-2 Cumulative Review Exercises

Chapter 3Systems of Linear Equations and Inequalities

Section 3.1Solving Systems of Linear Equations by the Graphing Method

Section 3.2Solving Systems of Linear Equations by the Substitution Method

Section 3.3Solving Systems of Linear Equations by the Addition Method

Problem Recognition Exercises: Solving Systems of Linear Equations

Section 3.4Applications of Systems of Linear Equations in Two Variables

Section 3.5Linear Inequalities and Systems of Linear Inequalities in Two Variables

Section 3.6Systems of Linear Equations in Three Variables and Applications

Section 3.7Solving Systems of Linear Equations by Using Matrices

Group Activity: Creating a Quadratic Model of the Form y = at2 + bt + c

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Test

Chapters 1-3 Cumulative Review Exercises

Chapter 4Polynomials

Section 4.1Properties of Integer Exponents and Scientific Notation

Section 4.2Addition and Subtraction of Polynomials and Polynomial Functions

Section 4.3Multiplication of Polynomials

Section 4.4Division of Polynomials

Problem Recognition Exercises: Operations on Polynomials

Section 4.5Greatest Common Factor and Factoring by Grouping

Section 4.6Factoring Trinomials

Section 4.7Factoring Binomials

Problem Recognition Exercises: Factoring Summary

Section 4.8Solving Equations by Using the Zero Product Rule

Group Activity: Investigating Pascal’s Triangle

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Test

Chapters 1-4 Cumulative Review Exercises

Chapter 5Rational Expressions and Rational Equations

Section 5.1Rational Expressions and Rational Functions

Section 5.2Multiplication and Division of Rational Expressions

Section 5.3Addition and Subtraction of Rational Expressions

Section 5.4Complex Fractions

Problem Recognition Exercises: Operations on Rational Expressions

Section 5.5Solving Rational Equationsv
Problem Recognition Exercises: Rational Equations vs. Expressions

Section 5.6Applications of Rational Equations and Proportions

Section 5.7Variation

Group Activity: Computing the Future Value of an Investment

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Test

Chapters 1-5 Cumulative Review Exercises

Chapter 6Radicals and Complex Numbers

Section 6.1Definition of an nth Root

Section 6.2Rational Exponents

Section 6.3Simplifying Radical Expressions

Section 6.4Addition and Subtraction of Radicals

Section 6.5Multiplication of Radicals

Problem Recognition Exercises: Simplifying Radical Expressions

Section 6.6Division of Radicals and Rationalization

Section 6.7Solving Radical Equations

Section 6.8Complex Numbers

Group Activity: Margin of Error of Survey Results

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Test

Chapters 1-6 Cumulative Review Exercises

Chapter 7Quadratic Equations and Functions

Section 7.1Square Root Property and Completing the Square

Section 7.2Quadratic Formula

Section 7.3Equations in Quadratic Form

Problem Recognition Exercises: Quadratic and Quadratic Type Equations

Section 7.4Graphs of Quadratic Functions

Section 7.5Vertex of a Parabola: Applications and Modeling

Section 7.6Nonlinear Inequalities

Problem Recognition Exercises: Recognizing Equations and Inequalities

Group Activity: Creating a Quadratic Model of the Form y = a(x – h)2 + k

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Test

Chapters 1-7 Cumulative Review Exercises

Chapter 8Exponential and Logarithmic Functions and Applications

Section 8.1Algebra and Composition of Functions

Section 8.2Inverse Functions

Section 8.3Exponential Functions

Section 8.4Logarithmic Functions

Problem Recognition Exercises: Identifying Graphs of Functions

Section 8.5Properties of Logarithms

Section 8.6The Irrational Number and Change of Base

Problem Recognition Exercises: Logarithmic and Exponential Forms

Section 8.7Logarithmic and Exponential Equations and Applications

Group Activity: Creating a Population Model

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Test

Chapters 1-8 Cumulative Review Exercises

Chapter 9Conic Sections

Section 9.1Distance Formula, Midpoint Formula, and Circles

Section 9.2More on the Parabola

Section 9.3The Ellipse and Hyperbola

Problem Recognition Exercises: Formulas and Conic Sections

Section 9.4Nonlinear Systems of Equations in Two Variables

Section 9.5Nonlinear Inequalities and Systems of Inequalities

Group Activity: Investigating the Graphs of Conic Sections on a Calculator

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Test

Chapters 1-9 Cumulative Review Exercises

Chapter 10Binomial Expansions, Sequences, and Series

Section 10.1Binomial Expansions

Section 10.2Sequences and Series

Section 10.3Arithmetic Sequences and Series

Section 10.4Geometric Sequences and Series

Problem Recognition Exercises: Identifying Arithmetic and Geometric Sequences

Group Activity: Investigating Mean and Standard Deviation

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Test

Chapters 1-10 Cumulative Review Exercises

Additional Topics Appendix

Section A.1Determinants and Cramer’s Rule

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