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MCQ 4 - B4 Solve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation. - Pure Mathematics

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Pure Mathematics

Exam-style question

Try this first

After solving simultaneous equations, what final check confirms the answer is complete?.

  1. A.B4: connect the result back to the original question
  2. B.Use any familiar GCSE calculation even if it ignores solving simultaneous equations in two variables by elimination…
  3. C.Write only the final answer without showing the mathematical method
  4. D.Change the notation or restrictions to make the algebra look simpler

Model answer

What a good answer should say

  • The correct answer is B4: connect the result back to the original question.
  • Each ordered pair must be substituted or checked against both original equations, and the answer should state all valid solution pairs requested by the problem.

This answer is tied to the objective: B4 Solve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation..

Explanation

Why this works

Use the explanation to connect the worked answer back to B4 Solve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation..

The correct option, B4: connect the result back to the original question, is supported because simultaneous-equation answers are complete only when the values satisfy both equations and match the requested form. The distractors stop too early or treat one equation as if it were enough.

Maths method check

  • Topic focus: Pure Mathematics.
  • Question style: practice.
  • Reasoning demand: analysis.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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