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MCQ 1 - 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

Which method is most efficient when two simultaneous equations are both linear and coefficients can be matched quickly?.

  1. A.B4: choose the method that matches solving simultaneous equations in two variables by elimination…
  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: choose the method that matches solving simultaneous equations in two variables by elimination?.
  • Elimination is efficient here because matching coefficients allows one variable to be removed directly, leaving a single linear equation to solve.

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: choose the method that matches solving simultaneous equations in two variables by elimination?, is supported because elimination uses addition or subtraction of equations to remove one variable. This is distinct from substitution, which first rearranges one equation.

The distractors are weaker because they either ignore the paired equations or jump to graph interpretation without solving.

Maths method check

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

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