- ISBN: 9780321845863 | 0321845862
- Cover: Loose-leaf
- Copyright: 4/22/2014
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.
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.
1. Whole Numbers
1.1 Success in Mathematics
1.2 Fundamentals of Whole Numbers
1.3 Adding and Subtracting Whole Numbers
1.4 Multiplying Whole Numbers and Exponents
1.5 Dividing Whole Numbers
1.6 Prime Numbers
1.7 Order of Operations Using Whole Numbers
2. Integers and an Introduction to Algebra
2.1 Fundamentals of Integers
2.2 Adding and Subtracting Integers
2.3 Multiplying and Dividing Integers
2.4 Exponents and Order of Operations
2.5 Simplifying Algebraic Expressions
2.6 Linear Equations: The Addition and Multiplication Properties
2.7 Linear Equations: Using the Properties Together
2.8 Introduction to Problem Solving: Direct Translation Problems
3. Fractions
3.1 Fundamentals of Fractions
3.2 Multiplying and Dividing Fractions
3.3 Adding and Subtracting Like Fractions
3.4 Adding and Subtracting Unlike Fractions
3.5 Order of Operations and Complex Fractions
3.6 Operations with Mixed Numbers
3.7 Solving Equations Containing Fractions
4. Decimals
4.1 Fundamentals of Decimals
4.2 Adding and Subtracting Decimals
4.3 Multiplying Decimals
4.4 Dividing Decimals
4.5 Solving Equations Containing Decimals
5. Ratio, Proportion, and Percent
5.1 Ratios and Unit Rates
5.2 Proportions
5.3 Fundamentals of Percent Notation
5.4 Solving Percent Problems: Proportion Method
5.5 Solving Percent Problems: Equation Method
5.6 Applications Involving Percent
6. Measurement and Geometry
6.1 The U.S. Standard (English) System of Measurement
6.2 The Metric System of Measurement
6.3 Fundamentals of Geometry
6.4 Polygons
6.5 Perimeter and Area of Polygons and Circles
6.6 Volume and Surface Area
7. Introduction to Statistics and the Rectangular Coordinate System
7.1 Tables and Graphs
7.2 Mean, Median, and Mode
7.3 The Rectangular Coordinate System and Equations in Two Variables
7.4 Graphing Equations in Two Variables
8. Equations and Inequalities in One Variable
8.1 Linear Equations: The Addition and Multiplication Properties of Equality
8.2 Linear Equations: Using the Properties Together
8.3 Solving Linear Equations Involving Fractions and Decimals; Classifying Equations
8.4 Evaluating Formulas and Solving Formulas for a Variable
8.5 Introduction to Problem Solving: Direct Translation Problems
8.6 Problem Solving: Direct Translation Problems Involving Percent
8.7 Problem Solving: Geometry and Uniform Motion
8.8 Solving Linear Inequalities in One Variable
9. Introduction to Graphing and Equation of Lines
9.1 The Rectangular Coordinate System and Equations in Two Variables
9.2 Graphing Equations in Two Variables
9.3 Slope
9.4 Slope-Intercept Form of a Line
9.5 Point-Slope Form of a Line
9.6 Parallel and Perpendicular Lines
9.7 Linear Inequalities in Two Variables
10. Systems of Linear Equations and Inequalities
10.1 Solving Systems of Linear Equations by Graphing
10.2 Solving Systems of Linear Equations Using Substitution
10.3 Solving Systems of Linear Equations Using Elimination
10.4 Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations
10.5 Solving Mixture Problems Using Systems of Linear Equations
10.6 Systems of Linear Inequalities
11. Exponents and Polynomials
11.1 Adding and Subtracting Polynomials
11.2 Multiplying Monomials: The Product and Power Rules
11.3 Multiplying Polynomials
11.4 Dividing Monomials: The Quotient Rule and Integer Exponents
11.5 Dividing Polynomials
11.6 Applying Exponent Rules: Scientific Notation
12. Factoring Polynomials
12.1 Greatest Common Factor and Factoring by Grouping
12.2 Factoring Trinomials of the Form x 2+bx+c
12.3 Factoring Trinomials of the Form ax 2+bx+c, a≠1
12.4 Factoring Special Products
12.5 Summary of Factoring Techniques
12.6 Solving Polynomial Equations by Factoring
12.7 Modeling and Solving Problems with Quadratic Equations
13. Rational Expressions and Equations
13.1 Simplifying Rational Expressions
13.2 Multiplying and Dividing Rational Expressions
13.3 Adding and Subtracting Rational Expressions with a Common Denominator
13.4 Finding the Least Common Denominator and Forming Equivalent Rational Expressions
13.5 Adding and Subtracting Rational Expressions with Unlike Denominators
13.6 Complex Rational Expressions
13.7 Rational Equations
13.8 Models Involving Rational Equations
14. Graphs, Relations, and Functions
14.1 Graphs of Equations
14.2 Relations
14.3 An Introduction to Functions
14.4 Functions and Their Graphs
14.5 Linear Equations and Models
14.6 Compound Inequalities
14.7 Absolute Value Equations and Inequalities
14.8 Variation
15. Radicals and Rational Exponents
15.1 Square Roots
15.2 nth Roots and Rational Exponents
15.3 Simplify Expressions Using the Laws of Exponents
15.4 Simplify Radical Expressions Using Properties of Radicals
15.5 Adding, Subtracting, and Multiplying Radical Expressions
15.6 Rationalizing Radical Expressions
15.7 Functions Involving Radicals
15.8 Radical Equations and Their Applications
15.9 The Complex Number System
16. Quadratic Equations and Functions
16.1 Solving Quadratic Equations by Completing the Square
16.2 Solving Quadratic Equations by the Quadratic Formula
16.3 Solving Equations Quadratic in Form
16.4 Graphing Quadratic Functions Using Transformations
16.5 Graphing Quadratic Functions Using Properties
16.6 Polynomial Inequalities
16.7 Rational Inequalities
17. Exponential and Logarithmic Functions
17.1 Composite Functions and Inverse Functions
17.2 Exponential Functions
17.3 Logarithmic Functions
17.4 Properties of Logarithms
17.5 Exponential and Logarithmic Equations
18. Conics
18.1 Distance and Midpoint Formulas
18.2 Circles
18.3 Parabolas
18.4 Ellipses
18.5 Hyperbolas
18.6 Systems of Nonlinear Equations
19. Sequences, Series, and the Binomial Theorem
19.1 Sequences
19.2 Arithmetic Sequences
19.3 Geometric Sequences and Series
19.4 The Binomial Theorem
Appendix A: Synthetic Division
Appendix B: More on Systems of Linear Equations
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