A19 Solving simultaneous equations Quiz: AQA Maths, Unit 2

The 20 questions

1. Solve x + y = 10 and x - y = 4.

   • x = 3, y = 7
   • x = 14, y = -4
   • x = 6, y = 4
   • x = 7, y = 3

2. Solve 2x + y = 11 and y = x + 2.

   • x = 3, y = 3
   • x = 3, y = 5
   • x = 4, y = 3
   • x = 5, y = 3

3. Solve 3x + 2y = 16 and x - y = 2.

   • x = 5, y = 1
   • x = 4, y = 2
   • x = 2, y = 4
   • x = 4, y = 4

4. Solve 4x - y = 5 and 2x + y = 7.

   • x = 3, y = 2
   • x = 1, y = 1
   • x = 2, y = -3
   • x = 2, y = 3

5. Two numbers have sum 15 and difference 3. What is the larger number?

   • 18
   • 12
   • 9
   • 6

6. 3 pens and 2 rulers cost 20 pounds. 1 pen and 2 rulers cost 12 pounds. What does one pen cost?

   • 12 pounds
   • 8 pounds
   • 4 pounds
   • 6 pounds

7. Lines y = x + 1 and y = 7 - x meet at which point?

   • (3, 4)
   • (1, 6)
   • (4, 3)
   • (2, 5)

8. Solve x - 2y = 1 and x + 2y = 9.

   • x = 4, y = 2
   • x = 5, y = 2
   • x = 5, y = -2
   • x = 2, y = 5

9. Solve y = 2x and x + y = 12.

   • x = 4, y = 6
   • x = 4, y = 8
   • x = 6, y = 6
   • x = 8, y = 4

10. Which method is most direct when one equation is already written as y = ...?

    • Dividing both sides by zero
    • Adding only the constant terms
    • Substitution
    • Multiplying the two equations together

11. Solve 3x + y = 11 and x + y = 5.

    • x = 3, y = 8
    • x = 4, y = 1
    • x = 3, y = 2
    • x = 2, y = 3

12. (H) Solve y = x + 1 and y = x^2 - 5.

    • (3, 4) and (2, 3)
    • (4, 3) and (-1, -2)
    • (3, 4) and (-2, -1)
    • (3, -4) and (-2, 1)

13. (H) Which pair satisfies y = 2x and x^2 + y^2 = 20?

    • (2, 2) and (-2, -2)
    • (2, 4) and (-2, -4)
    • (2, 4) and (-2, 4)
    • (4, 2) and (-4, -2)

14. (H) Solve x + y = 2 and y = x^2.

    • (1, 1) and (2, 4)
    • (1, 1) and (-2, 4)
    • (1, 4) and (-2, 1)
    • (-1, 1) and (2, 4)

15. A theatre sells 100 tickets. Adult tickets are 20 more than child tickets. How many adult tickets are sold?

    • 60
    • 80
    • 20
    • 40

16. Solve x + 2y = 10 and 2x + 2y = 14.

    • x = 6, y = 2
    • x = 4, y = 6
    • x = 4, y = 3
    • x = 3, y = 4

17. How many solutions do two parallel lines have as a pair of simultaneous equations?

    • None
    • Two
    • Infinitely many
    • One

18. A bag holds 10 coins, all 2p or 5p, worth 35p in total. How many 5p coins are there?

    • 5
    • 3
    • 6
    • 7

19. Solve 4x + 3y = 24 and 4x - 3y = 0.

    • x = 6, y = 0
    • x = 3, y = 8
    • x = 4, y = 3
    • x = 3, y = 4

20. (H) Solve 3x - 2y = 1 and 5x + 2y = 23.

    • x = 4, y = 3
    • x = 3, y = 5
    • x = 3, y = 4
    • x = 2, y = 2.5

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