GCSE · Simultaneous equations

Simultaneous equations — one linear, one quadraticExam-style questions

Why a line can meet a curve twice (so expect two solution PAIRS), why substitution is the only route in, and the bracket-squaring discipline that circle equations demand.

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

DifficultyAllLevel 4Level 5
  1. 1
    Solve the simultaneous equations

    y=x2−3x+4y = x^2 - 3x + 4 y=x+1y = x + 1
    Level 4 · 4 marksTry it
  2. 2
    Solve the simultaneous equations

    y=x2y = x^2 y=2x+8y = 2x + 8
    Level 4 · 4 marksTry it
  3. 3
    Solve the simultaneous equations

    y=x2−2xy = x^2 - 2x y=x+4y = x + 4
    Level 4 · 4 marksTry it
  4. 4
    Solve the simultaneous equations

    y=x2+3x−5y = x^2 + 3x - 5 y=2x+1y = 2x + 1
    Level 4 · 4 marksTry it
  5. 5
    Solve the simultaneous equations

    x2+y2=25x^2 + y^2 = 25 y=x+1y = x + 1

    (5 marks)
    Level 4 · 5 marksTry it

2 more questions on simultaneous equations — one linear, one quadratic

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