ELEMENTARY & INTERMEDIATE ALGEBRA

For courses in Elementary and Intermediate Algebra

Helping Readers Innovatively "Do the Math"

The Sullivan Elementary & Intermediate Developmental Math Series, 4^th Edition introduces readers to the logic, precision and rigor of mathematics, while building a foundation for future success.

Known for their hallmark examples that provide extra step-by-step support, the authors have continued their successful text pedagogy and have focused in the revision to translating it to the MyLab™ Math course for a truly dynamic learning and teaching experience. Key revisions to the MyLab Math course include guided “How To” exercises, modeled on the successful Show Case examples and new GeoGebra applet exercises.

The Sullivan team has revised their MyLab Math course to ensure that readers are getting the most of the resources they have at their disposal. For example, they offer an enhanced e-text that allows readers to easily and quickly refer back to a specific page for examples. To encourage readers, the author team developed a MyLab Math that helps them develop good study skills, garner an understanding of the connections between topics, and work smarter in the process.

Also available with MyLab Math

MyLab ^™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

NOTE: You are purchasing a standalone product; MyLab Math does not come packaged with this content. If you would like to purchase both the physical text and MyLab Math, search for:

0134622782 / 9780134622781 Elementary & Intermediate Algebra Plus MyLab Math -- Access Card Package, 4/e

Package consists of:

• 0134556070 / 9780134556079 Elementary & Intermediate Algebra
• 0321431308 / 9780321431301 MyLab Math -- Glue-in Access Card
• 0321654064 / 9780321654069 MyLab Math Inside Star Sticker

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.

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 x^2 + bx + c

6.3. Factoring Trinomials of the Form ax^2 + 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

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