Rearranging Formulae and Multi-Step Algebraic Problem Solving

Rearrange a simple one-step formula to make a given letter the subject.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA5-7
New NZC (2026)
  • NZC26-P4-ALG-ER-P-Y9-06
  • NZC26-P4-ALG-ER-P-Y10-04

Resources

Terminology

  • Formula
  • Subject of the formula
  • Rearrange
  • Expand
  • Factorise
  • Algebraic fraction
  • Justify / reasonableness of an answer

Task goals

  • Rearrange a simple one-step formula to make a given letter the subject.
  • Rearrange formulae involving multiple operations or a squared/rooted term, and solve two-step equations that combine like terms and simple fractions.
  • Solve a multi-step contextual problem that requires rearranging a formula, simplifying an algebraic fraction, and solving the resulting equation, with justification of whether the answer is reasonable.

Where this fits

What leads into this objective, and where it goes next.

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Rearranging Formulae and Multi-Step Algebraic Problem Solving

Rearranging Formulae and Multi-Step Algebraic Problem Solving

Do

Rearranging formulae (e.g. solving P = 2l + 2w for w)

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y9-06

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