What is included with this book?
The Carson Algebra Series guides students to success by presenting the why behind understanding algebra, and includes the complete Carson Math Study System with a Learning Styles Inventory to address individual learning styles. The Carson Math Study System adapts to the way each student learns, and targeted learning strategies are presented throughout the program. The authors speak to students in everyday language and walk them through the concepts, explaining not only how to do the math, but also where the concepts come from and why they work to foster conceptual understanding.
Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for:
0321951891 / 9780321951892 Intermediate Algebra, Plus NEW MyMathLab with Pearson eText -- Access Card Package
Package consists of:
0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card
0321654064 / 9780321654069 MyMathLab Inside Star Sticker
0321915879 / 9780321915870 Intermediate Algebra
Tom Carson ’s first teaching experience was teaching guitar while an undergraduate student studying electrical engineering. That experience helped him to realize that his true gift and passion are for teaching. He earned his MAT in mathematics at the University of South Carolina. In addition to teaching at Midlands Technical College, Columbia State Community College, and Franklin Classical School, Tom has served on the faculty council and has been a board member of the South Carolina Association of Developmental Educators (SCADE). Ever the teacher, Tom teaches outside the classroom by presenting at conferences such as NADE, AMATYC, and ICTCM on topics such as Combating Innumeracy, Writing in Mathematics, and Implementing a Study System. In addition to his work on the Carson Developmental Algebra Series, Tom also is the author of Prealgebra, Fourth Edition.
Bill Jordan received his BS from Rollins College and his MAT from Tulane University. A decorated teacher for more than 40 years, Bill has served as the chair of the math department at Seminole Community College and has taught at Rollins College. He has been a member and leader of numerous professional organizations, including the Florida Two-Year College Mathematical Association (president), Florida Council of Teachers of Mathematics (district director), and others. In addition to his work on the Carson series, Bill is also the lead author of Integrated Algebra and Arithmetic, 2/e, also published by Pearson. In his spare time, he enjoys fishing, traveling, and hiking.
Preface
To the Student
Learning Styles Inventory
The Carson Math Study System
1. Real Numbers and Expressions
1.1 Sets and the Structure of Algebra
1.2 Operations with Real Numbers; Properties of Real Numbers
1.3 Exponents, Roots, and Order of Operations
1.4 Evaluating and Rewriting Expressions
Summary and Review Exercises
Practice Test
2. Linear Equations and Inequalities in One Variable
2.1 Linear Equations and Formulas
2.2 Solving Problems
2.3 Solving Linear Inequalities
2.4 Compound Inequalities
2.5 Equations Involving Absolute Value; Absolute Value Functions
2.6 Inequalities Involving Absolute Value
Summary and Review Exercises
Practice Test
Chapters 1 and 2 Cumulative Review Exercises
3. Equations and Inequalities in Two Variables; Functions
3.1 Graphing Linear Equations
3.2 The Slope of a Line
3.3 The Equation of a Line
3.4 Graphing Linear Inequalities
3.5 Introduction to Functions and Function Notation
Summary and Review Exercises
Practice Test
Chapters 1–3 Cumulative Review Exercises
4. Systems of Linear Equations and Inequalities
4.1 Solving Systems of Linear Equations in Two Variables
4.2 Solving Systems of Linear Equations in Three Variables
4.3 Solving Applications Using Systems of Equations
4.4 Solving Systems of Linear Equations Using Matrices
4.5 Solving Systems of Linear Inequalities
Summary and Review Exercises
Practice Test
Chapters 1–4 Cumulative Review Exercises
5. Exponents, Polynomials, and Polynomial Functions
5.1 Exponents and Scientific Notation
5.2 Polynomials and Polynomial Functions
5.3 Multiplying Polynomials
5.4 Dividing Polynomials
5.5 Synthetic Division and the Remainder
Theorem
Summary and Review Exercises
Practice Test
Chapters 1–5 Cumulative Review Exercises
6. Factoring
6.1 Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials
6.3 Factoring Special Products and Factoring Strategies
6.4 Solving Equations by Factoring
Summary and Review Exercises
Practice Test
Chapters 1–6 Cumulative Review Exercises
7. Rational Expressions and Equations
7.1 Simplifying, Multiplying, and Dividing Rational Expressions
7.2 Adding and Subtracting Rational Expressions
7.3 Simplifying Complex Rational Expressions
7.4 Solving Equations Containing Rational Expressions
7.5 Applications with Rational Expressions; Variation
Summary and Review Exercises
Practice Test
Chapters 1–7 Cumulative Review Exercises
8. More on Inequalities Absolute Value, and Functions
8.1 Compound Inequalities
8.2 Equation Involving Absolute Value
8.3 Inequalities Involving Absolute Value
Summary and Review Exercises
Practice Test
Chapters 1–8 Cumulative Review Exercises
9. Rational Exponents, Radicals, and Complex Numbers
9.1 Radical Expressions and Functions
9.2 Rational Exponents
9.3 Multiplying, Dividing, and Simplifying Radicals
9.4 Adding, Subtracting, and Multiplying Radical Expressions
9.5 Rationalizing Numerators and Denominators of Radical Expressions
9.6 Radical Equations and Problem Solving
9.7 Complex Numbers
Summary and Review Exercises
Practice Test
Chapters 1–9 Cumulative Review Exercises
10. Quadratic Equations and Functions
10.1 The Square Root Principle and Completing the Square
10.2 Solving Quadratic Equations Using the Quadratic Formula
10.3 Solving Equations That Are Quadratic in Form
10.4 Graphing Quadratic Functions
10.5 Solving Nonlinear Inequalities
10.6 Function Operations
Summary and Review Exercises
Practice Test
Chapters 1–10 Cumulative Review Exercises
11. Exponential and Logarithmic Functions
11.1 Composite and Inverse Functions
11.2 Exponential Functions
11.3 Logarithmic Functions
11.4 Properties of Logarithms
11.5 Common and Natural Logarithms
11.6 Exponential and Logarithmic Equations with Applications
Summary and Review Exercises
Practice Test
Chapters 1–11 Cumulative Review Exercises
12. Conic Sections
12.1 Parabolas and Circles
12.2 Ellipses and Hyperbolas
12.3 Nonlinear Systems of Equations
12.4 Nonlinear Inequalities and Systems of Inequalities
Summary and Review Exercises
Practice Test
Chapters 1–12 Cumulative Review Exercises
Appendices
A. Arithmetic Sequences and Series APP-000
B. Geometric Sequences and Series APP-000
C. The Binomial Theorem APP-000
D. Cramer’s Rule
E. Permutations and Combinations (available online via MyMathLab)
F. Probability (available online via MyMathLab)
Answers
Glossary
Index of Applications
Index