Simultaneous equations

Simultaneous equations Quiz

Spec 1.6 · Edexcel International A Level Maths: Quiz

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5 questions, one answer each

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  1. 1. Substitute y=2x−1y=2x-1 into x2+y2=5x^2+y^2=5 and simplify.

    • A. 5x2−4=05x^2-4=0
    • B. 5x2+4x−4=05x^2+4x-4=0
    • C. 5x2−4x−4=05x^2-4x-4=0
    • D. 3x2−4x−4=03x^2-4x-4=0

  2. 2. Solve 2x+3y=122x+3y=12 and x−y=1x-y=1.

    • A. x=3, y=2x=3,\ y=2
    • B. x=2, y=3x=2,\ y=3
    • C. x=4.5, y=1x=4.5,\ y=1
    • D. x=0, y=4x=0,\ y=4

  3. 3. How many solutions do y=2x−1y=2x-1 and y=x2y=x^2 have?

    • A. None
    • B. Two
    • C. Infinitely many
    • D. Exactly one

  4. 4. Solve x+y=5x+y=5 and x2+y=11x^2+y=11.

    • A. (3,2)(3,2) only
    • B. (3,2)(3,2) and (−2,7)(-2,7)
    • C. (3,8)(3,8) and (−2,3)(-2,3)
    • D. (3,−2)(3,-2) and (−2,3)(-2,3)

  5. 5. Solve x−y=2x-y=2 and xy=15xy=15.

    • A. (5,3)(5,3) and (3,5)(3,5)
    • B. (−5,−3)(-5,-3) and (3,5)(3,5)
    • C. (5,3)(5,3) and (−3,−5)(-3,-5)
    • D. (5,−3)(5,-3) and (−3,5)(-3,5)

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