Algebra

• Basic Algebra - Distributive Law - Expanding and Simplifying
• Basic Algebra - Factorising Quadratic Equations - Example 1
• Basic Algebra - Factorising Quadratic Equations - Example 2
• Solving Linear Inequalities - Example -3(x - 2) ≥ 18
• Solving Linear Inequalities - Example 2x < x - 1 ≤ 3x + 5
• Understanding Absolute Values and Solving |2x + 1| - 2 = 9
• Understanding Absolute Values and Inequalities
• Solving an Absolute Value Inequality - Example 1
• Solving an Absolute Value Inequality - Example 2
• Solving Simultaneous Equations using Method of Substitution
• Solving Simultaneous Equations using the Method of Elimination
• Solving a Money Problem using Simultaneous Equations!
• Problem Solving using Simultaneous Equations - Finding a Person's Age
• How to Solve Simultaneous Equations Graphically
• Solving Quadratic Equations - Completing the Square - Example 1
• Solving Quadratic Equations - Completing the Square - Example 2
• Solving Quadratic Equations - Deriving the Quadratic Formula
• Problem Solving with Quadratic Equations - Finding 2 Consecutive Numbers
• Algebra: Expand and Simplify - The Sum and The Difference of 2 Cubes
• Simplifying Powers / Indices / Exponents - Example 1
• Simplifying Powers / Indices / Exponents - Example 2
• Understanding Logarithms and How they work - Part 1
• Understanding Logarithms and How they work - Part 2
• Simplifying Logarithms by Separation
• Combining 3 Simple Logarithms into One
• Proof that n³ - n is divisible by 3 using Mathematical Induction
• Using Mathematical Induction to Prove 2³ⁿ - 3ⁿ is divisible by 5
• Proof that ∑2^n-1 = 2ⁿ - 1 with Mathematical Induction
• Proving a formula using Mathematical Induction / Inductive Method
• Surds: Rationalizing the Denominator