Rearranging Formulae (Changing the Subject)

Rearrange a simple one-step formula to make the required letter the subject, where that letter appears once with no fraction, bracket, or power involved.

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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

Resources

Terminology

  • Rearrange
  • Change the subject
  • Subject
  • Formula
  • Isolate
  • Inverse operation
  • Factorise

Task goals

  • Rearrange a simple one-step formula to make the required letter the subject, where that letter appears once with no fraction, bracket, or power involved.
  • Rearrange a formula to make the required letter the subject when it appears once inside a fraction.
  • Rearrange a formula to make the required letter the subject when it appears once inside a bracket.
  • Rearrange a formula to make the required letter the subject when it appears once as a square or under a square root.
  • Rearrange a formula to make the required letter the subject when it appears more than once, by collecting the terms containing it and factorising.
  • Check a rearranged formula is correct by substituting matching values into both the original and the rearranged form and confirming they agree.

Where this fits

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

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Rearranging Formulae (Changing the Subject)

Rearranging Formulae (Changing the Subject)

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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