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 Id 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 masters 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.

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 EquationsvProblem 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

Intermediate Algebra (Hardcover) Julie Miller

Intermediate Algebra (Hardcover) by Julie Miller

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Intermediate Algebra (Hardcover) by Julie Miller

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