Elementary & Intermediate Algebra

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  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 2013-01-22
  • Publisher: Pearson
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The Sullivan/Struve/Mazzarella Algebra program is designed to motivate students to “do the math”— at home or in the lab—and supports a variety of learning environments. The text is known for its two-column example format that provides annotations to the left of the algebra. These annotations explain what the authors are about to do in each step (instead of what was just done), just as an instructor would do.

Author Biography

Michael Sullivan, III is a full-time professor of mathematics at Joliet Jr. College. His training is in mathematics, statistics, and economics and he has more than 18 years experience as an instructor. His publications with Pearson cover developmental math, precalculus, and introductory statistics. Most recently, Mike has been highly involved in Course Redesign at Joliet Junior College. His experience in course redesign and writing texts for the college-level math and statistics courses gives him a unique insight into where students are headed after the developmental math track, and what they need to do to be successful. Mike is the father of three children and an avid golfer.

Katherine Struve is a full-time instructor with Columbus State Community College and has more than 30 years experience in the classroom. She is in tune with the challenges of teaching mathematics at a large, urban community college. She has served as the Lead Instructor of Developmental Mathematics and has been involved in the recent course redesign effort at Columbus State.


Janet Mazzarella is a full-time instructor at Southwestern College and has more than 18 years experience teaching a wide range of courses from arithmetic through calculus. She helped develop the self-paced developmental math program and spent two years serving as its director. Along with Mike and Kathy, Janet has also been active in the course redesign initiative at her institution.

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 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 1–6


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


Answers to Selected Exercises

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