GCSE · Linear equations

Solving linear equationsExam-style questions

Why an equation is a balance, why every move must be the INVERSE operation applied to both whole sides, and how brackets and unknowns on both sides fall to the same two moves.

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14 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    Solve x+7=12x + 7 = 12
    Level 1 · 1 markTry it
  2. 2
    Solve 3x−4=113x - 4 = 11
    Level 1 · 2 marksTry it
  3. 3
    Solve 5(x−2)=3x+85(x - 2) = 3x + 8 (3 marks)
    Level 2 · 3 marksTry it
  4. 4
    (a) Solve 2(3x+1)=4x+92(3x + 1) = 4x + 9 [3]

    (b) Solve x+32=5\dfrac{x + 3}{2} = 5 [1]
    Level 2 · 4 marksTry it
  5. 5
    Solve 2x+9=252x + 9 = 25
    Level 2 · 2 marksTry it

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