Basic Algebra


 * /For Contributors/

Chapter 1: Introduction to Basic Algebra Ideas

 * Introduction: The Ideas of Algebra
 * Lesson 0. Translating Words into Math Symbols
 * Lesson 1. Simple Operations
 * Lesson 2. Exponents and Powers
 * Lesson 3. Order of Operations
 * Lesson 4. Variables and Expressions
 * Lesson 5. Working With Negative Numbers
 * Lesson 6. Solving Equations Using Properties of Mathematics
 * Chapter Review
 * Chapter Test

Chapter 2: Working with Rational Numbers

 * Lesson 1. Integers and the Number Line
 * Lesson 2. Absolute Value
 * Lesson 3. Rational Numbers
 * Lesson 4. Adding Rational Numbers
 * Lesson 5. Subtracting Rational Numbers
 * Lesson 6. Multiplying Rational Numbers
 * Lesson 7. Distributive Property
 * Lesson 8. Combining Like Terms
 * Lesson 9. Dividing Rational Numbers
 * Lesson 10. Formulas
 * Chapter Review
 * Chapter Test

Chapter 3: Solving Equations

 * Lesson 1. Solving Equations with Addition and Subtraction
 * Lesson 2. Solving Equations with Multiplication and Division
 * Lesson 3. Solving Multi-Step Equations
 * Lesson 4. Solving Equations with Variables on Both Sides of the Equation
 * Lesson 5. Equations with More than One Variable
 * Lesson 6. Formulas
 * Chapter Review
 * Chapter Test

Chapter 4: Proportions and Proportional Reasoning

 * Lesson 1. Proportions
 * Lesson 2. Percents
 * Lesson 3. Percent of Change
 * Lesson 4. Weighted Averages
 * Lesson 5. Direct and Inverse Variation
 * Lesson 6. Solving Similar Triangles using Proportions
 * Chapter Review
 * Chapter Test

Chapter 5: Lines (Linear Functions)

 * Lesson 1. Graphing Points
 * Lesson 2. Equations in Two Variables
 * Lesson 3. Graphing Lines(Linear Functions)
 * Lesson 4. Slope of a Line
 * Lesson 5. Slope-Intercept Form of a Line
 * Lesson 6. Find Parallel and Perpendicular Lines
 * Lesson 7. Find the Equation of the Line Using Two Points
 * Lesson 8. Functions and Relations
 * Chapter Review
 * Chapter Test

Chapter 6: Linear Inequalities

 * Lesson 1. Solving Inequalities
 * Lesson 2. Solving "AND" Compound Inequalities
 * Lesson 3. Solving "OR" Compound Inequalities
 * Lesson 4. Solving Absolute Value Inequalities
 * Lesson 5. Graphing Linear Inequalities
 * Chapter Review
 * Chapter Test

Chapter 7: Systems of Linear Equations

 * Lesson 1. Solving Linear Systems by Graphing
 * Lesson 2. Solving Linear Systems by Substitution
 * Lesson 3. Solving Linear Systems by Linear Combinations
 * Lesson 4. Using Matricies to Solve Linear Systems
 * Chapter Review
 * Chapter Test

Chapter 8: Polynomials

 * Lesson 1. Exponents
 * Lesson 2. Zero and Negative Exponents
 * Lesson 3. Adding and Subtracting Polynomials
 * Lesson 4. Multiplying Monomials
 * Lesson 5. Powers of Monomials
 * Lesson 6. Multiplying Monomials and Polynomials
 * Lesson 7. Multiplying Polynomials
 * Chapter Review
 * Chapter Test

Chapter 9: Factoring

 * Lesson 1. Factors of Integers
 * Lesson 2. Dividing Monomials
 * Lesson 3. Monomial Factors of Polynomials
 * Lesson 4. Multiplying Binomials
 * Lesson 5. Squares of Binomials / Squares of Trinomials
 * Lesson 6. Factoring x^2 + bx + c
 * Lesson 7. Factoring x^2 - bx + c
 * Lesson 8. Factoring x^2 - bx - c and x^2 + bx - c
 * Lesson 9. Factoring a^2-b^2 Binomials
 * Lesson 10. Factoring by Grouping
 * Lesson 11. Factoring Cubic Polynomials
 * Chapter Review
 * Chapter Test

Chapter 10: Solving Quadratic Equations

 * Lesson 1. The Zero Product Property
 * Lesson 2. Solving Quadratic Equations by Factoring
 * Lesson 3. Solving Quadratic Equations By Taking The Square Root of Both Sides
 * Lesson 4. Solving Quadratic Equations By Completing The Square
 * Lesson 5. Solving Quadratic Equations By Using The Quadratic Formula
 * Lesson 6. The Discriminant
 * Lesson 7. Quadratic Equation Word Problems
 * Chapter Review
 * Chapter Test

Chapter 11: Quadratic Functions

 * Lesson 1. Graphing a Parabola
 * Lesson 2. Using the Discrimnant to Help Graph a Parabola
 * Lesson 3. Finding the Axis of Symmetry of a Parabola
 * Lesson 4. Finding the Vertex of a Parabola
 * Lesson 5. Graphing Quadratic Inequalities
 * Chapter Review
 * Chapter Test

Chapter 12: Exponential Functions

 * Lesson 1. Multiplication of Exponential Expressions
 * Lesson 2. Zero and Negative Exponents
 * Lesson 3. Graphs of Exponential Functions
 * Lesson 4. Division of Exponential Expressions
 * Lesson 5. Scientific Notation
 * Lesson 6. Growth and Decay Functions
 * Chapter Review
 * Chapter Test

Chapter 13: Rational Expressions and Equations

 * Lesson 1. Direct and Inverse Variation
 * Lesson 2. Simplifying Rational Expressions
 * Lesson 3. Multiplying and Dividing Rational Expressions
 * Lesson 4. Adding and Subtracting with Like Denominators
 * Lesson 5. Adding and Subtracting When the Denominators are the Same
 * Lesson 6. Adding and Subtracting When the Denominators are Different
 * Lesson 7. Solving Rational Equations
 * Chapter Review
 * Chapter Test

Chapter 14: Radical Expressions and Equations

 * Lesson 1. Square Root Functions
 * Lesson 2. Equations with Radicals
 * Lesson 3. Rational Exponents
 * Lesson 4. The Pythagorean Theorem
 * Lesson 5. The Distance Formula
 * Chapter Review
 * Chapter Test