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)