Introductory Algebra https://www.mheducation.com/cover-images/Jpeg_400-high/0073384542.jpeg 3 9780073384542 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.
Introductory Algebra

Introductory Algebra

3rd Edition
By Julie Miller and Molly O'Neill and Nancy Hyde
ISBN10: 0073384542
ISBN13: 9780073384542
Copyright: 2015
09780073384542

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Program Details

Introductory Algebra, 3rd Edition


R Reference


R.1 Study Tips
R.2 Fractions
R.3 Decimals and Percents
R.4 Introduction to Geometry

1 The Set of Real Numbers


1.1 Introduction to Algebra and the Set of Real Numbers
1.2 Exponents, Square Roots, and the Order of Operations
1.3 Addition of Real Numbers
1.4 Subtraction of Real Numbers
PRE: Addition and Subtraction of Real Numbers
1.5 Multiplication and Division of Real Numbers
1.6 Properties of Real Numbers and Simplifying Expressions
Group Activity: Evaluating Formulas Using a Calculator

2 Linear Equations and Inequalities


2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality
2.2 Solving Linear Equations
2.3 Linear Equations: Clearing Fractions and Decimals
PRE: Equations and Expressions
2.4 Applications of Linear Equations:Introduction to Problem Solving
2.5 Applications Involving Percents
2.6 Literal Equations and Applications of Geometry
2.7 Mixture Applications and Uniform Motion
2.8 Linear Inequalities
Group Activity: Computing Body Mass Index (BMI)

3 Graphing Linear Equations in Two Variables


3.1 Rectangular Coordinate System
3.2 Linear Equations in Two Variables
3.3 Slope of a Line and Rate of Change
3.4 Slope-Intercept Form of a Linear Equation
PRE: Linear Equations in Two Variables 3.5 Point-Slope Formula
3.6 Applications of Linear Equations and Modeling
Group Activity: Modeling a Linear Equation

4 Systems of Linear Equations in Two Variables


4.1 Solving Systems of Equations by the Graphing Method
4.2 Solving Systems of Equations by the Substitution Method
4.3 Solving Systems of Equations by the Addition Method
PRE: Systems of Equations
4.4 Applications of Linear Inequalities in Two Variables
4.5 Linear Inequalities and Systems of Inequalities in Two Variables
Group Activity: Creating Linear Models from Data

5 Polynomials and Properties of Exponents


5.1 Multiplying and Dividing Expressions with Common Bases
5.2 More Properties of Exponents
5.3 Definitions of b^0 and b^-n
PRE: Properties of Exponents
5.4 Scientific Notation
5.5 Addition and Subtraction of Polynomials
5.6 Multiplication of Polynomials and Special Products
5.7 Division of Polynomials
PRE: Operations on Polynomials
Group Activity: The Pythagorean Theorem and a Geometric 'Proof'

6 Factoring Polynomials


6.1 Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials of the Form x^2 + bx + c
6.3 Factoring Trinomials: Trial and Error Method
6.4 Factoring Trinomials: A-C Method
6.5 Difference of Squares and Perfect Square Trinomials
6.6 Sum and Difference of Cubes
PRE: Factoring Strategy
6.7 Solving Equations Using the Zero Product Rule
PRE: Polynomial Expressions versus Polynomial Equations
6.8 Applications of Quadratic Equations
Group Activity: Building a Factoring Test

7 Rational Expressions and Equations


7.1 Introduction to Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Least Common Denominator
7.4 Addition and Subtraction of Rational Expressions
PRE: Operations on Rational Expressions
7.5 Complex Fractions
7.6 Rational Equations
PRE: Comparing Rational Equations and Rational Expressions
7.7 Applications of Rational Equations and Proportions 7.8 Variation
Group Activity: Computing Monthly Mortgage Payments

8 Radicals


8.1 Introduction to Roots and Radicals
8.2 Simplifying Radicals
8.3 Addition and Subtraction of Radicals
8.4 Multiplication of Radicals
8.5 Division of Radicals and Rationalisation
PRE: Operations on Radicals
8.6 Radicals Equations
8.7 Rational Exponents
Group Activity: Calculating Standard Deviation

9 More Quadratic Equations


9.1 The Square Root Property
9.2 Completing the Square
9.3 Quadratic Formula
PRE: Solving Different Types of Equations
9.4 Graphing Quadratic Equations
9.5 Introduction to Functions
Group Activity: Maximising Volume

Additional Topics Appendix


A.1 Converting Units of Measurement

About the Author

Julie Miller

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 O'Neill

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

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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