Demystifying - Simplifying an algebraic fraction

Drills

Factorising before cancelling, since only a factor cancels, never a term.

Author note — to cover (Higher)

Higher only, per the A4 braces on algebraic fractions. Factorise numerator and denominator before cancelling, with common factors up to quadratics, e.g. (x² − 9)/(x² + 5x + 6); name the crime of cancelling terms across a plus sign. Adding, multiplying and dividing are the sibling pages. (A4)

  • Fluency — direct questions on simplifying an algebraic fraction, limited to this lesson's stated scope (4 questions).
  • Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
  • Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).

The test

—coming soon—

Where to go next

The method this drill practises is taught on Simplifying an algebraic fraction.