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Preface
Objectives
Factors, Products, and Exponents
Prime Factorization
The Least Common Multiple
Equivalent Fractions
Operations with Fractions
Decimal Fractions
Percent
Symbols and Notations
The Real Number Line and the Real Numbers
Properties of the Real Numbers
Exponents
Rules of Exponents
The Power Rules for Exponents
Summary of Key Concepts
Exercise Supplement
Proficiency Exam
Signed Numbers
Absolute Value
Addition of Signed Numbers
Subtraction of Signed Numbers
Multiplication and Division of Signed Numbers
Negative Exponents
Scientific Notation
Algebraic Expressions
Equations
Classification of Expressions and Equations
Combining Polynomials Using Addition and Subtraction
Combining Polynomials Using Multiplication
Special Binomial Products
Terminology Associated with Equations
Solving Equations
Solving Equations of the Form ax=b and x/a=b
Further Techniques in Equation Solving
Application I - Translating from Verbal to Mathetical Expressions
Application II - Solving Problems
Linear inequalities in One Variable
Linear Equations in Two Variables
Finding the factors of a Monomial
Factoring a Monomial from a Polynomial
The Greatest Common Factor
Factoring by Grouping
Factoring Two Special Products
Factoring Trinomials with Leading Coefficient 1
Factoring Trinomials with Leading Coefficient Other Than 1
Graphing Linear Equations and Inequalities in One Variable
Plotting Points in the Plane
Graphing Linear Equations in Two Variables
The Slope-Intercept Form of a Line
Graphing Equations in Slope-Intercept Form
Finding the Equation of a Line
Graphing Linear Inequalities in Two Variables
Rational Expressions
Reducing Rational Expressions
Multiplying and Dividing Rational Expressions
Building Rational Expressions and the LCD
Adding and Subtracting Rational Expressions
Rational Equations
Applications
Complex Rational Expressions
Dividing Polynomials
Square Root Expressions
Simplifying Square Root Expressions
Multiplication of Square Root Expressions
Division of Square Root Expressions
Addition and Subtraction of Square Root Expressions
Square Root Equations with Applications
Solving Quadratic Equations
Solving Quadratic Equations by Factoring
Solving Quadratic Equations Using the Method of Extraction of Roots
Solving Quadratic Equations Using the Method of Completing the Square
Solving Quadratic Equations Using the Quadratic Formula
Graphing Quadratic Solutions
Solutions by Graphing
Elimination by Substitution
Elimination by Addition
Acknowledgments
Appendix
Table of Symbols
Properties of Real Numbers
Important and Useful Rules/Formulas
The 5-Step Method of Solving Applied Problems
Roots, Radicals, and Square Root Equations
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Elementary Algebra Copyright © 2008 by wellis dennyburzynski is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.