Chapter 1: Introduction to Algebra
- Introduction (Lesson)
- Definition of Terms in Algebra (Lesson)
Chapter 2: Addition and Subtraction in Algebra
- Addition and Subtraction in Algebra (Lesson)
- Quiz on Addition and Subtraction in Algebra (Quiz)
Chapter 3: Parenthesis in Algebra
- Parenthesis in Algebra (Lesson)
- Quiz on Parenthesis (Quiz)
Chapter 4: Multiplication in Algebra
- Multiplication in Algebra (Lesson)
- Examples Monomial × Monomial (Lesson)
- Examples Monomial × Polynomial (Lesson)
- Examples Polynomial × Polynomial (Lesson)
- Quiz on Multiplication (Quiz)
Chapter 5: Exponents
- Introduction and Laws of Exponents (Lesson)
- Example: Law 1 - Product Rule (Lesson)
- Example: Law 2 - Quotient Rule (Lesson)
- Example: Law 3 - Power of a Power (Lesson)
- Examples: Rules of Exponents (Zero, Negative, Fractional) (Lesson)
- Exponents on Negatives, Monomials, and Polynomials (Lesson)
- Quiz on Exponents (Quiz)
Chapter 6: Division in Algebra
- Division in Algebra (Lesson)
- Example: Division of a Monomial by Monomial (Lesson)
- Example: Division of a Polynomial by a Monomial (Lesson)
- Division of Polynomial by Polynomial (Advanced) (Lesson)
- Example: Division of a Polynomial by a Polynomial (Lesson)
- Quiz on Division (Quiz)
Chapter 7: Radicals
- Introduction to Radicals (Lesson)
- Revision: Working with Perfect and Non-Perfect Radicals (Lesson)
- Working with Radicals of Monomials (Lesson)
- Operations on Radicals (Lesson)
- Example: Addition and Subtraction of Radicals (Lesson)
- Example: Multiplication and Division of Radicals (Lesson)
- Rationalization of Radical Denominators (Advanced) (Lesson)
- Quiz on Radicals (Quiz)
Chapter 8: Factors and Factorization
- Factors and Factorization (Lesson)
- Example: Factoring Case 2 - Difference of Two Squares (Lesson)
- Factoring Quadratics (Lesson)
- Example: Factoring Quadratics (Lesson)
- Perfect Square Trinomials (Lesson)
- Quiz on Factors and Factorization (Quiz)
Chapter 9: Equations
- Introduction to Equations (Lesson)
- One-Step Equations (Lesson)
- Two-Step Equations (Lesson)
- Equations with Fractions (Lesson)
- Equation with More than One Fraction (Lesson)
- Multi-Step Equations (Lesson)
- Solving Equations where Variables are Represented by Other Variables (Lesson)
- Change of Subject or Transpose of Formula (Lesson)
- Quiz on Equations (Quiz)
Chapter 10: Variation
- Introduction to Variation (Lesson)
- Direct Variation (Lesson)
- Inverse Variation (Lesson)
- Joint Variation and Combined Variation (Lesson)
Chapter 11: Ratio, Proportion, and Percentages
- Ratio, Proportion, and Rates (Lesson)
- Percentages (Lesson)
- Percent Increase or Decrease (Lesson)
- Markup, Discount, and Tax (Lesson)
- Simple and Compound Interest (Lesson)
Chapter 12: Units and Unit Conversions
- Unit Conversion (Lesson)
Chapter 13: Simultaneous Equations
- Solving by Elimination/Addition (Lesson)
- Example: Solving Equations by Elimination (Lesson)
- Solving by Substitution (Lesson)
- Example: Solving Equations by Substitution (Lesson)
- Quiz on Simultaneous Equations (Quiz)
Chapter 14: Quadratic Equations
- Solving Quadratic Equations by Factoring (Lesson)
- Solving Quadratic Equations with the Quadratic Formula (Lesson)
- Quiz on Quadratic Equations (Quiz)
Chapter 15: Inequalities
- Solving Inequalities (Lesson)
- Graphing of Inequalities (Lesson)
- Quiz on Inequality (Quiz)
Chapter 16: Absolute Values
- Solving Absolute Value Equations (Lesson)
Chapter 17: Introduction to Coordinate Geometry
- Graphing of Points (Lesson)
- Graphing Lines with Points (Lesson)
- X-intercept and Y-intercept (Lesson)
- Quiz on X-intercept and Y-intercept (Quiz)
Chapter 18: Linear Equations and Graphs
- Introduction to Slopes (Lesson)
- Quiz on Slope-Intercept Form (Quiz)
- Finding the Slope from a Graph (Lesson)
- Quiz on Finding the Slope from a Graph (Quiz)
- Slope-Intercept Form (Lesson)
- Graphing Slope-Intercept Form (Lesson)
- Point-Slope Form (Lesson)
- Standard Form (Lesson)
- Quiz on Point-Slope Form and Standard Form (Quiz)
- Parallel and Perpendicular Lines (Lesson)
Chapter 19: Graphing of Simultaneous Equations
- Solving Simultaneous Equations by Graphing (Lesson)
Chapter 20: Functions and Relations
- Intro to Functions and Relations (Lesson)
- Composite Functions (Lesson)
- Linear Functions and Graphs (Lesson)
- Linear Inequalities and Graphs (Lesson)
- Quadratic Functions (Lesson)
- Absolute Value Functions (Lesson)
- Piecewise Functions (Lesson)
Chapter 21: Word Problems
- Introduction to Word Problems (Lesson)
- Two-Step Equations Word Problems (Lesson)
- Proportion Word Problems (Lesson)
- Distance Rate Time Word Problems (Lesson)
- Mean, Median, Mode Word Problems (Lesson)
- Permutations & Combinations Word Problems (Lesson)
- Age Word Problems (Lesson)
- Mixture Word Problems (Lesson)