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Grade 11 · Equations & Inequalities
Simultaneous Equations: One Linear, One Quadratic (Grade 11)
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  / 16

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Solve simultaneously: y = x + 1 and y = x² − 3x + 4
    (2)
  2. 2
    Solve simultaneously: y = 2x and y = x² − 3
    (2)
  3. 3
    Solve simultaneously: x + y = 5 and x² + y² = 17
    (2)
  4. 4
    Solve simultaneously: y − x = 2 and xy = 8
    (2)
  5. 5
    Which equation should you rearrange first, and why?
    (2)
  6. 6
    Solve simultaneously: y = x − 1 and y = x² − 5x + 7
    (2)
  7. 7
    The solutions of a simultaneous system are the … of the two graphs.
    (2)
  8. 8
    What does it mean if the resulting quadratic has a negative discriminant?
    (2)
TOTAL: 16 marks
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