Algebra

• Graphing Linear Equations


  Plot the x-intercept and y-intercept on a coordinate plane, then draw a line through the two points.
• Solving Linear Equations


  Use addition, subtraction, multiplication, or division to isolate the variable (x) on one side of the equation. For example: 2x + 3 = 7
• Adding Fractions with Different Denominators


  Finding the least common multiple (LCM) of the denominators, then rewriting each fraction with the LCM as the denominator. For example: 1/4 + 1/6 = ?
• Simplifying Expressions


  Combine like terms, simplify the expression. For example: 3x + 2x = 5x
• Expanding Single Brackets


  (a + b) = a + b, (a - b) = a - b, (a × b) = ab
• Expanding Double Brackets


  (a + b) + (c + d) = a + b + c + d, (a - b) - (c - d) = a - b + c - d
• Example: Expanding a Double Bracket


  (2x + 3) × (x + 2) = ?
• Triple Bracket Expansion


  (a + b + c) × (x + y + z) = ? (Use the distributive property)
• Distributive Property


  (a + b) × c = a × c + b × c, (a - b) × c = a × c - b × c
• Chain Reaction Triple Bracket


  (a + b + c) × (d + e + f) = ? (Expand each part separately)
• Triplet Bracket Chain


  Expand each part of the triple bracket, then combine like terms
• Triple Bracket Distributive Property


  (a + b + c) × (x + y) = ? (Use the distributive property)
• Example: Expanding a Triple Bracket


  (x + 1 + 2) × (x + 2 + 3 + 4) = ?