"Do the Math" Workbook for Elementary & Intermediate Algebra

by Michael Sullivan III, Katherine Struve, Janet Mazzarella

Overview

This workbook offers a collection of 5-Minute Warm-Up exercises, Guided Practice exercises, and Do the Math exercises for each section in the text. These worksheets can be used as in-class assignments, as an in-lab study assignment, or for homework.

Product Details

ISBN-13:	9780134591940
Publisher:	Pearson Education
Publication date:	04/13/2017
Edition description:	New Edition
Pages:	624
Product dimensions:	8.50(w) x 10.50(h) x 1.50(d)

About the Author

With training in mathematics, statistics, and economics, Michael Sullivan III has a varied teaching background that includes 27 years of instruction in both high school and college-level mathematics. He is currently a full-time professor of mathematics at Joliet Junior College. Michael has numerous textbooks in publication, including an Introductory Statistics series and a Precalculus series, which he writes with his father, Michael Sullivan.

Michael believes that his experiences writing texts for college-level math and statistics courses give him a unique perspective as to where students are headed once they leave the developmental mathematics tract. This experience is reflected in the philosophy and presentation of his developmental text series.When not in the classroom or writing, Michael enjoys spending time with his three children, Michael, Kevin, and Marissa, and playing golf. Now that his two sons are getting older, he has the opportunity to do both at the same time!

Kathy Struve has been a classroom teacher for nearly 35 years, first at the high school level and, for the past 27 years, at Columbus State Community College. Kathy embraces classroom diversity: diversity of students’ age, learning styles, and previous learning success. She is aware of the challenges of teaching mathematics at a large, urban community college, where students have varied mathematics backgrounds and may enter college with a high level of mathematics anxiety.

Kathy served as Lead Instructor of the Developmental Algebra sequence at Columbus State, where she developed curriculum, conducted workshops, and provided leadership to adjunct faculty in the mathematics department. She embraces the use of technology in instruction, and has taught web and hybrid classes in addition to traditional face-to-face emporium-style classes. She is always looking for ways to more fully involve students in the learning process. In her spare time Kathy enjoys spending time with her two adult daughters, her four granddaughters, and biking, hiking, and traveling with her husband.

Born and raised in San Diego county, Janet Mazzarella spent her career teaching in culturally and economically diverse high schools before taking a position at Southwestern College 25 years ago. Janet has taught a wide range of mathematics courses from arithmetic through calculus for math/science/engineering majors and has training in mathematics, education, engineering, and accounting.

Janet has worked to incorporate technology into the curriculum by participating in the development of Interactive Math and Math Pro. At Southwestern College, she helped develop the self-paced developmental mathematics program. In addition, Janet was the Dean of the School of Mathematics, Science, and Engineering, the Chair of the Mathematics Department, the faculty union president, and the faculty coordinator for Intermediate Algebra. In the past, free time consisted of racing motorcycles off-road in the Baja 500 and rock climbing, but recently she has given up the adrenaline rush of these activities for the thrill of traveling in Europe.

Jessica Bernards and Wendy Fresh of Portland Community College have worked extensively with the author team to create the How to exercises, new Geogebra applet exercises, and have made the assignments for the New MyMathLab courses.

Table of Contents

Table of Contents

1. Operations on Real Numbers and Algebraic Expressions
   • 1.1. Success in Mathematics
   • 1.2. Fractions, Decimals, and Percents
   • 1.3. The Number Systems and the Real Number Line
   • 1.4. Adding, Subtracting, Multiplying, and Dividing Integers
   • 1.5. Adding, Subtracting, Multiplying, and Dividing Rational Numbers
     • Putting the Concepts Together (Sections 1.2 — 1.5)
   • 1.6. Properties of Real Numbers
   • 1.7. Exponents and the Order of Operations
   • 1.8. Simplifying Algebraic Expressions
   • Chapter 1 Activity: The Math Game
   • Chapter 1 Review
   • Chapter 1 Test
2. Linear Equations and Inequalities in One Variable
   • 2.1. Linear Equations: The Addition and Multiplication Properties of Equality
   • 2.2. Linear Equations: Using the Properties Together
   • 2.3. Solving Linear Equations Involving Fractions and Decimals; Classifying Equations
   • 2.4. Evaluating Formulas and Solving Formulas for a Variable
     • Putting the Concepts Together (Sections 2.1 — 2.4)
   • 2.5. Problem Solving: Direct Translation
   • 2.6. Problem Solving: Problems Involving Percent
   • 2.7. Problem Solving: Geometry and Uniform Motion
   • 2.8. Solving Linear Inequalities in One Variable
   • Chapter 2 Activity: Pass to the Right
   • Chapter 2 Review
   • Chapter 2 Test
   • Cumulative Review Chapters 1 — 2
3. Introduction to Graphing and Linear Equations in Two Variables
   • 3.1. The Rectangular Coordinate System and Linear Equations in Two Variables
   • 3.2. Graphing Linear Equations in Two Variables
   • 3.3. Slope
   • 3.4. Slope-Intercept Form of a Line
   • 3.5. Point-Slope Form of a Line
   • 3.6. Parallel and Perpendicular Lines
     • Putting the Concepts Together (Sections 3.1 — 3.6)
   • 3.7. Linear Inequalities in Two Variables
   • Chapter 3 Activity: Graphing Practice
   • Chapter 3 Review
   • Chapter 3 Test
   • Cumulative Review Chapters 1 — 3
4. Systems of Linear Equations and Inequalities
   • 4.1. Solving Systems of Linear Equations by Graphing
   • 4.2. Solving Systems of Linear Equations Using Substitution
   • 4.3. Solving Systems of Linear Equations Using Elimination
     • Putting the Concepts Together (Sections 4.1 — 4.3)
   • 4.4. Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations
   • 4.5. Solving Mixture Problems Using Systems of Linear Equations
   • 4.6. Systems of Linear Inequalities
   • Chapter 4 Activity: Find the Numbers
   • Chapter 4 Review
   • Chapter 4 Test
   • Cumulative Review Chapters 1 — 4
5. Exponents and Polynomials
   • 5.1. Adding and Subtracting Polynomials
   • 5.2. Multiplying Monomials: The Product and Power Rules
   • 5.3. Multiplying Polynomials
   • 5.4. Dividing Monomials: The Quotient Rule and Integer Exponents
     • Putting the Concepts Together (Sections 5.1 — 5.4)
   • 5.5. Dividing Polynomials
   • 5.6. Applying the Exponent Rules: Scientific Notation
   • Chapter 5 Activity: What Is the Question?
   • Chapter 5 Review
   • Chapter 5 Test
   • Cumulative Review Chapters 1 — 5
6. Factoring Polynomials
   • 6.1. Greatest Common Factor and Factoring by Grouping
   • 6.2. Factoring Trinomials of the Form x² + bx + c
   • 6.3. Factoring Trinomials of the Form ax² + bx + c, a ≠ 1
   • 6.4. Factoring Special Products
   • 6.5. Summary of Factoring Techniques
     • Putting the Concepts Together (Sections 6.1 — 6.5)
   • 6.6. Solving Polynomial Equations by Factoring
   • 6.7. Modeling and Solving Problems with Quadratic Equations
   • Chapter 6 Activity: Which One Does Not Belong?
   • Chapter 6 Review
   • Chapter 6 Test
   • Cumulative Review Chapters 1 — 6
   • Getting Ready for Intermediate Algebra: A Review of Chapters 1 — 6
7. Rational Expressions and Equations
   • 7.1. Simplifying Rational Expressions
   • 7.2. Multiplying and Dividing Rational Expressions
   • 7.3. Adding and Subtracting Rational Expressions with a Common Denominator
   • 7.4. Finding the Least Common Denominator and Forming Equivalent Rational Expressions
   • 7.5. Adding and Subtracting Rational Expressions with Unlike Denominators
   • 7.6. Complex Rational Expressions
     • Putting the Concepts Together (Sections 7.1 — 7.6)
   • 7.7. Rational Equations
   • 7.8. Models Involving Rational Equations
   • Chapter 7 Activity: Correct the Quiz
   • Chapter 7 Review
   • Chapter 7 Test
   • Cumulative Review Chapters 1 — 7
   • Getting Ready for Intermediate Algebra: A Review of Chapters 1 — 7
   • Getting Ready for Chapter 8: Interval Notation
8. Graphs, Relations, and Functions
   • 8.1. Graphs of Equations
   • 8.2. Relations
   • 8.3. An Introduction to Functions
   • 8.4. Functions and Their Graphs
     • Putting the Concepts Together (Sections 8.1 — 8.4)
   • 8.5. Linear Functions
   • 8.6. Compound Inequalities
   • 8.7. Absolute Value Equations and Inequalities
   • 8.8. Variation
   • Chapter 8 Activity: Shifting Discovery
   • Chapter 8 Review
   • Chapter 8 Test
   • Chapters 1 — 8 Cumulative Review
9. Radicals and Rational Exponents
   • 9.1. Square Roots
   • 9.2. nth Roots and Rational Exponents
   • 9.3. Simplify Expressions Using the Laws of Exponents
   • 9.4. Simplifying Radical Expressions
   • 9.5. Adding, Subtracting, and Multiplying Radical Expressions
   • 9.6. Rationalizing Radical Expressions
     • Putting the Concepts Together (Sections 9.1 — 9.6)
   • 9.7. Functions Involving Radicals
   • 9.8. Radical Equations and Their Applications
   • 9.9. The Complex Number System
   • Chapter 9 Activity: Which One Does Not Belong?
   • Chapter 9 Review
   • Chapter 9 Test
   • Cumulative Review Chapters 1 — 9
10. Quadratic Equations and Functions
    • 10.1. Solving Quadratic Equations by Completing the Square
    • 10.2. Solving Quadratic Equations by the Quadratic Formula
    • 10.3. Solving Equations Quadratic in Form
      • Putting the Concepts Together (Sections 10.1 — 10.3)
    • 10.4. Graphing Quadratic Functions Using Transformations
    • 10.5. Graphing Quadratic Functions Using Properties
    • 10.6. Polynomial Inequalities
    • 10.7. Rational Inequalities
    • Chapter 10 Activity: Presidential Decision Making
    • Chapter 10 Review
    • Chapter 10 Test
    • Cumulative Review Chapters 1 — 10
11. Exponential and Logarithmic Functions
    • 11.1. Composite Functions and Inverse Functions
    • 11.2. Exponential Functions
    • 11.3. Logarithmic Functions
      • Putting the Concepts Together (Sections 11. 1 — 11.3)
    • 11.4. Properties of Logarithms
    • 11.5. Exponential and Logarithmic Equations
    • Chapter 11 Activity: Correct the Quiz
    • Chapter 11 Review
    • Chapter 11 Test
    • Cumulative Review Chapters 1 — 11
12. Conics
    • 12.1. Distance and Midpoint Formulas
    • 12.2. Circles
    • 12.3. Parabolas
    • 12.4. Ellipses
    • 12.5. Hyperbolas
      • Putting the Concepts Together (Sections 12.1 — 12.5)
      • Nonlinear Systems of Equations
    • Chapter 12 Activity: How Do You Know That…?
    • Chapter 12 Review
    • Chapter 12 Test
    • Cumulative Review Chapters 1 — 12
13. Sequences, Series, and the Binomial Theorem
    • 13.1. Sequences
    • 13.2. Arithmetic Sequences
    • 13.3. Geometric Sequences and Series
    • 13.4. The Binomial Theorem
    • Chapter 13 Activity: Pass to the Right
    • Chapter 13 Review
    • Chapter 13 Test
    • Cumulative Review Chapters 1 — 13

Appendix A: Synthetic Division Appendix B: Geometry Review Appendix C: More on Systems of Linear Equations Appendix D: Table of Square Roots Appendix E: Transformations Answers to Selected Exercises