Pitzer Edward W. Introductory Algebra

Bookboon, 2015. — 214 p. — ISBN: 978-87-403-1129-7.Introductory Algebra is a primer for students considering an entrance level college algebra course. The textbook should not be considered a comprehensive treatment of algebra. The goal of the textbook is to teach a set of problem solving skills in some of the more fundamental areas of algebra.
The author uses a step-by-step problem solving technique that is demonstrated in an exacting format. These formats can often take an entire page to demonstrate the solution to a problem. Additional examples of problems are worked out completely using the exact problem solving format originally demonstrated.The Real Number System
Natural Numbers
Whole Numbers
Integers
Rational Numbers
Irrational Numbers
Real Numbers
Mathematical Properties
The Distributive Property
The Associative Properties
The Commutative Properties
The Identity Property
A Statement on Mathematical Properties
Arithmetic Operations
Orders of Operations
Fractions, Decimals, and Percentages
Common Denominators
Positive and Negative Numbers
Exponents
Chapter End of Chapter Exercises
Expressions, Variables, and Equations
Algebraic Expressions
Algebraic Variables and Equations
The Language of Algebraic Equations
Solving Linear Equations
Chapter End of Chapter Exercises
Polynomial Expressions
Polynomial Expressions of Variables
Degrees of Polynomials
Addition and Subtraction of Polynomials
Multiplication and Division of Monomials
Chapter End of Chapter Exercises
Factoring of Polynomials
The Concept of Common Factors
Factoring by Grouping
Factoring Second Degree Polynomials
Special Factors
Long Division of Polynomials
Chapter End of Chapter Exercises
Rational Expressions
Simplification of Rational Expression
Addition and Subtraction of Rational Expressions
Multiplication and Division of Rational Expressions
Simplifying Complex Fractions
Solving Equations with Fractions
Ratios and Proportions
Chapter End of Chapter Exercises
Inequalities and Absolute Values
Inequality Expressions
Graphing Inequalities on the Number Line
Absolute Values
Graphing Absolute Values of Inequalities on the Number Line
Chapter End of Chapter Exercises
Graphing in the Rectangular Coordinate System
The Rectangular Coordinate System
Linear Equations: The Slope Intercept Form
Linear Equations: The Point-Slope Form
Horizontal and Vertical Graphs
Parallel and Perpendicular Graphs
Graphing Linear Inequalities
Chapter End of Chapter Exercises
Exponents and Radicals
Whole Integer Positive Exponents
Negative and Zero Exponents
Rational Exponents: The nth Root
Mathematical Operations with Exponents and Radicals
Chapter End of Chapter Exercises
Systems of Equations
Systems of Linear Equations in Two Unknowns: Solutions by Graphing
Systems of Linear Equations in Two Unknowns: Solutions by Substitution
Systems of Linear Equations in Two Unknowns: Solutions by Elimination
Systems of Linear Equations in Three Unknowns: Solutions by Elimination and Back Substitution
Chapter End of Chapter Exercises
Appendix A
Answers to End of Chapter Exercises