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Check whether a point solves a system

8th grade (Year 9 in England) Β· 16 questions Β· Common Core: 8.EE.C.8.A Β· England: KS3 Algebra, GCSE Foundation Algebra

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Date

Score/ 16

  1. Question 1

    Is (βˆ’4, βˆ’1) a solution of the system βˆ’x βˆ’ y = 5 and 4x βˆ’ 3y = βˆ’13?

    • A. Yes
    • B. No
  2. Question 2

    Which point solves both x + y = 7 and x βˆ’ y = βˆ’5?

    • A. (7, βˆ’5)
    • B. (2, 5)
    • C. (6, 1)
    • D. (1, 6)
  3. Question 3

    Is (0, 4) a solution of the system βˆ’3x βˆ’ 3y = βˆ’12 and 4x + 4y = 16?

    • A. Yes
    • B. No
  4. Question 4

    Which point solves both x + y = 8 and x βˆ’ y = βˆ’2?

    • A. (8, βˆ’2)
    • B. (4, 4)
    • C. (3, 5)
    • D. (5, 3)
  5. Question 5

    Is (5, 2) a solution of the system βˆ’2x βˆ’ 2y = βˆ’14 and 2x + 3y = 16?

    • A. Yes
    • B. No
  6. Question 6

    Which point solves both x + y = βˆ’1 and x βˆ’ y = 3?

    • A. (βˆ’2, 1)
    • B. (1, βˆ’2)
    • C. (βˆ’1, 3)
    • D. (2, βˆ’3)
  7. Question 7

    Is (5, 3) a solution of the system 3x + 4y = 27 and 3x βˆ’ 4y = 5?

    • A. Yes
    • B. No
  8. Question 8

    Which point solves both x + y = 8 and x βˆ’ y = βˆ’4?

    • A. (6, 2)
    • B. (3, 5)
    • C. (2, 6)
    • D. (8, βˆ’4)
  9. Question 9

    Is (4, 3) a solution of the system βˆ’2x + 3y = 1 and 3x + y = 15?

    • A. Yes
    • B. No
  10. Question 10

    Which point solves both x + y = βˆ’2 and x βˆ’ y = βˆ’2?

    • A. (0, βˆ’2)
    • B. (βˆ’2, βˆ’2)
    • C. (βˆ’1, βˆ’1)
    • D. (βˆ’2, 0)
  11. Question 11

    Is (2, 2) a solution of the system x βˆ’ y = 0 and βˆ’3x βˆ’ 2y = βˆ’10?

    • A. Yes
    • B. No
  12. Question 12

    Which point solves both x + y = 6 and x βˆ’ y = 6?

    • A. (6, 0)
    • B. (0, 6)
    • C. (7, βˆ’1)
    • D. (6, 6)
  13. Question 13

    Is (1, βˆ’2) a solution of the system βˆ’4x βˆ’ y = βˆ’2 and βˆ’4x βˆ’ y = 0?

    • A. Yes
    • B. No
  14. Question 14

    Which point solves both x + y = 5 and x βˆ’ y = βˆ’1?

    • A. (2, 3)
    • B. (5, βˆ’1)
    • C. (3, 2)
  15. Question 15

    Is (4, 0) a solution of the system 4x + 4y = 16 and βˆ’3x βˆ’ 3y = βˆ’10?

    • A. Yes
    • B. No
  16. Question 16

    Which point solves both x + y = 2 and x βˆ’ y = 2?

    • A. (0, 2)
    • B. (3, βˆ’1)
    • C. (2, 0)
    • D. (2, 2)

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Answer key: Check whether a point solves a system

  1. 1. A. Yes

  2. 2. D. (1, 6)

  3. 3. A. Yes

  4. 4. C. (3, 5)

  5. 5. A. Yes

  6. 6. B. (1, βˆ’2)

  7. 7. B. No

  8. 8. C. (2, 6)

  9. 9. A. Yes

  10. 10. D. (βˆ’2, 0)

  11. 11. A. Yes

  12. 12. A. (6, 0)

  13. 13. B. No

  14. 14. A. (2, 3)

  15. 15. B. No

  16. 16. C. (2, 0)