Demystifying - Substituting into terms with powers

Drills

Why 3x² means square first then multiply by 3, so x = 4 gives 48 not 144.

Author note — to cover

Cover why 3x² squares first then multiplies by 3, so x = 4 gives 48 not 144, contrasting (3x)²; include cubes and mixed expressions like 2x² + x, and simple fractional inputs. Out of scope: index laws (simplifying group) and negative inputs (sibling page). Both tiers. (A2)

  • Fluency — direct questions on substituting into terms with powers, 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 Substituting into terms with powers.