Forming and solving equations from context

Form equations from word problems, solve them, and interpret solutions in context.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA5-7
  • NA4-7
New NZC (2026)
  • NZC26-P4-ALG-ER-P-Y10-02

Resources

  • Alpha textbook: Using Equations to solve problems - 1, Ex 14.01, pgs
  • Alpha textbook: 229 - 231
  • Alpha textbook: Using equations to solve problems – 2, Ex 14.17, pgs
  • Alpha textbook: 238
  • Alpha textbook: Check Your Understanding, Review of entire equations
  • Alpha textbook: chapter, pg 239
  • Other: 229 - 231
  • Other: Using equations to solve problems - 2, Ex 14.17, pgs
  • Other: 238
  • Other: Check Your Understanding, Review of entire equations
  • Other: chapter, pg 239
  • CorbettMaths on forming and solving equations from contextQuestions PDF · Answers

Terminology

  • equation
  • solution
  • form an equation
  • solve
  • context
  • variable
  • interpret
  • algebraic expression

Task goals

  • Identify variable quantities and form algebraic equations from word problems describing real-world contexts.
  • Solve linear equations by applying inverse operations and collecting like terms to isolate the variable.
  • Interpret solutions within the context of the original problem, checking that answers make sense.
  • Apply equation-solving skills to multi-step problems involving perimeter, area, cost, age, and other practical contexts.

Where this fits

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

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Forming and solving equations from context

Forming and solving equations from context

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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