Elementary Algebra
Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques.
Creative Commons Attribution
Contents

Front Matter

Arithmetic Review

Basic Properties of Real Numbers

Basic Operations with Real Numbers

Algebraic Expressions and Equations
 Objectives
 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
 Summary of Key Concepts
 Exercise Supplement
 Proficiency Exam

Solving Linear Equations and Inequalities
 Objectives
 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
 Summary of Key Concepts
 Exercise Supplement
 Proficiency Exam

Factoring Polynomials
 Objectives
 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
 Summary of Key Concepts
 Exercise Supplement
 Proficiency Exam

Graphing Linear Equations and Inequalities in One and Two Variables
 Objectives
 Graphing Linear Equations and Inequalities in One Variable
 Plotting Points in the Plane
 Graphing Linear Equations in Two Variables
 The SlopeIntercept Form of a Line
 Graphing Equations in SlopeIntercept Form
 Finding the Equation of a Line
 Graphing Linear Inequalities in Two Variables
 Summary of Key Concepts
 Exercise Supplement
 Proficiency Exam

Rational Expressions
 Objectives
 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
 Summary of Key Concepts
 Exercise Supplement
 Proficiency Exam

Roots, Radicals, and Square Root Equations
 Objectives
 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
 Summary of Key Concepts
 Exercise Supplement
 Proficiency Exam

Quadratic Equations
 Objectives
 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
 Applications
 Graphing Quadratic Solutions
 Summary of Key Concepts
 Exercise Supplement
 Proficiency Exam

Systems of Linear Equations

Back Matter
Book Information
License
Elementary Algebra by wellis dennyburzynski is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.