Mathslive.ie

ALGEBRA

Exam Cog
①ALGEBRAIC FRACTIONS
  1. Common denominator
  2. Multiply each top
  3. Expand & tidy
⚠ −(x−1) = −x + 1
②CHANGE OF SUBJECT
  1. Multiply out fractions/brackets
  2. Gather the wanted letter one side
  3. Factor it out
  4. Divide
③INEQUALITIES

Solve like an equation

⚠ FLIP the sign when × or ÷ by a negative

List only values in ℕ or ℤ.

④NUMBER LINE

● filled = included (≤, ≥)

○ open = not included (<, >)

⑤NUMBER SETS

ℕ = naturals 1,2,3,...

ℤ = integers ...,−1,0,1,...

⑥WATCH-OUTS
⚠ A double inequality has TWO parts — solve each, then combine.