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More About This Textbook
Overview
The Sullivan/Struve/Mazzarella Algebra Series was written to motivate students to “do the math” outside of the classroom through a design and organization that models what you do inside the classroom. The lefttoright annotations in the examples provide a teacher’s voice through every step of the problemsolving process. The Sullivan exercise sets, which begin with Quick Checks to reinforce each example, present problem types of every possible derivation with a gradual increase in difficulty level. The new “Do the Math” Workbook acts as a companion to the text and to MyMathLab^{®} by providing short warmup exercises, guided practice examples, and additional “Do the Math” practice exercises for every section of the text.
Operations on Real Numbers and Algebraic Expressions; Equations and Inequalities in One Variable; Introduction to Graphing and Equations of Lines; Systems of Linear Equations and Inequalities; Exponents and Polynomials; Factoring Polynomials; Rational Expresssions and Equations; Graphs, Relations, and Functions; Radicals and Rational Exponents; Quadratic Equations and Functions; Exponential and Logarithmic Functions; Conics; Sequences, Series, and the Binomial Theorem
For all readers interested in beginning and intermediate algebra.
Product Details
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Meet the Author
Mike Sullivan, III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from DePaul University in both mathematics and economics. Mike is an author or coauthor on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer who tries to spend as much of his limited free time as possible on the golf course.
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 Expressed as Fractions and Decimals
Putting the Concepts Together (Sections 1.2  1.5)
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. 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 Introduction to Problem Solving: Direct Translation Problems
2.6 Problem Solving: Direct Translation 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
3. Introduction to Graphing and Equations of Lines
3.1 The Rectangular Coordinate System and Equations in Two Variables
3.2 Graphing Equations in Two Variables
3.3 Slope
3.4 SlopeIntercept Form of a Line
3.5 PointSlope 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
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
Getting Ready for Intermediate Algebra: A Review of Chapters 1  6
7. Rational Expresssions 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
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 and Models
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
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 Using Properties of Radicals
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 Quadratic Inequalities
10.7 Rational Inequalities
Chapter 10 Activity: Presidential Decision Making
Chapter 10 Review
Chapter 10 Test
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)
12.6 Systems of Nonlinear Equations
Chapter 12 Activity: How Do You Know That&?
Chapter 12 Review
Chapter 12 Test
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