Solving Linear Equations

Solve one-step and two-step linear equations with the pronumeral on one side, using inverse operations.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA4-7
New NZC (2026)
  • NZC26-P4-ALG-ER-P-Y10-02

Resources

Terminology

  • equation
  • solve
  • solution
  • opposite operation
  • balance method
  • variable
  • pronumeral
  • like terms

Task goals

  • Foundation: Solve one-step and two-step linear equations with the pronumeral on one side, using inverse operations.
  • Proficient: Solve multi-step linear equations involving brackets and pronumerals collected as like terms on one side.
  • Excellence: Solve linear equations with the pronumeral appearing on both sides, and form then solve a linear equation from a short worded context.

Where this fits

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

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Solving Linear Equations

Solving Linear Equations

Do

Forming and solving linear equations and linear inequalities with rational number coefficients (e.g. −2/5 x + 5 ≤ −10), giving exact or rounded solutions, and representing the solution on a number line

Statement▸
Year 10 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y10-02

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