Elementary Algebra
v. 1.0
Table of Contents
Licensing Information
Preface
Chapter 1: Real Numbers and Their Operations
Real Numbers and the Number Line
Adding and Subtracting Integers
Multiplying and Dividing Integers
Fractions
Review of Decimals and Percents
Exponents and Square Roots
Order of Operations
Review Exercises and Sample Exam
Chapter 2: Linear Equations and Inequalities
Introduction to Algebra
Simplifying Algebraic Expressions
Solving Linear Equations: Part I
Solving Linear Equations: Part II
Applications of Linear Equations
Ratio and Proportion Applications
Introduction to Inequalities and Interval Notation
Linear Inequalities (One Variable)
Review Exercises and Sample Exam
Chapter 3: Graphing Lines
Rectangular Coordinate System
Graph by Plotting Points
Graph Using Intercepts
Graph Using the y-Intercept and Slope
Finding Linear Equations
Parallel and Perpendicular Lines
Introduction to Functions
Linear Inequalities (Two Variables)
Review Exercises and Sample Exam
Chapter 4: Solving Linear Systems
Solving Linear Systems by Graphing
Solving Linear Systems by Substitution
Solving Linear Systems by Elimination
Applications of Linear Systems
Solving Systems of Linear Inequalities (Two Variables)
Review Exercises and Sample Exam
Chapter 5: Polynomials and Their Operations
Rules of Exponents
Introduction to Polynomials
Adding and Subtracting Polynomials
Multiplying Polynomials
Dividing Polynomials
Negative Exponents
Review Exercises and Sample Exam
Chapter 6: Factoring and Solving by Factoring
Introduction to Factoring
Factoring Trinomials of the Form x^2 + bx + c
Factoring Trinomials of the Form ax^2 + bx + c
Factoring Special Binomials
General Guidelines for Factoring Polynomials
Solving Equations by Factoring
Applications Involving Quadratic Equations
Review Exercises and Sample Exam
Chapter 7: Rational Expressions and Equations
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Complex Rational Expressions
Solving Rational Equations
Applications of Rational Equations
Variation
Review Exercises and Sample Exam
Chapter 8: Radical Expressions and Equations
Radicals
Simplifying Radical Expressions
Adding and Subtracting Radical Expressions
Multiplying and Dividing Radical Expressions
Rational Exponents
Solving Radical Equations
Review Exercises and Sample Exam
Chapter 9: Solving Quadratic Equations and Graphing Parabolas
Extracting Square Roots
Completing the Square
Quadratic Formula
Guidelines for Solving Quadratic Equations and Applications
Graphing Parabolas
Introduction to Complex Numbers and Complex Solutions
Review Exercises and Sample Exam
Appendix: Geometric Figures
Appendix Introduction
Plane
Solid