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Common Core 8.EE.C.8.A worksheet

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

Name

Date

Score/ 16

  1. Question 1

    Is (4, 3) a solution of the system −4x + 2y = −10 and −4x − 3y = −24?

    • A. Yes
    • B. No

  2. Question 2

    The graph shows y = x − 2 and y = x. How many solutions does the system have?

    xy−8−6−4−22468−10−8−6−4−22468100y = x − 2y = x
    • A. 0
    • B. 1
    • C. Infinitely many

  3. Question 3

    The graph shows y = 2x − 8 and y = −x + 4. What is the solution of the system? Type it like (2, −3).

    xy−8−6−4−22468−10−8−6−4−22468100y = 2x − 8y = −x + 4

    Answer

  4. Question 4

    Which point solves both x + y = −8 and x − y = 0?

    • A. (−3, −5)
    • B. (−8, 0)
    • C. (−4, −4)

  5. Question 5

    Is (−1, −4) a solution of the system 4x − 4y = 12 and −x + 2y = −5?

    • A. Yes
    • B. No

  6. Question 6

    The graph shows y = x + 3 and y = x − 2. How many solutions does the system have?

    xy−8−6−4−22468−10−8−6−4−22468100y = x + 3y = x − 2
    • A. 0
    • B. 1
    • C. Infinitely many

  7. Question 7

    The graph shows y = 3x + 6 and y = 2x + 4. What is the solution of the system? Type it like (2, −3).

    xy−8−6−4−22468−10−8−6−4−22468100y = 3x + 6y = 2x + 4

    Answer

  8. Question 8

    Which point solves both x + y = 6 and x − y = −6?

    • A. (6, −6)
    • B. (1, 5)
    • C. (6, 0)
    • D. (0, 6)

  9. Question 9

    Is (−1, −5) a solution of the system 3x + 2y = −13 and −3x − 4y = 23?

    • A. Yes
    • B. No

  10. Question 10

    The graph shows y = −3x − 1 and y = −3x − 4. How many solutions does the system have?

    xy−8−6−4−22468−10−8−6−4−22468100y = −3x − 1y = −3x − 4
    • A. 0
    • B. 1
    • C. Infinitely many

  11. Question 11

    The graph shows y = 3x + 14 and y = 2x + 10. What is the solution of the system? Type it like (2, −3).

    xy−8−6−4−22468−10−8−6−4−22468100y = 3x + 14y = 2x + 10

    Answer

  12. Question 12

    Which point solves both x + y = 3 and x − y = 9?

    • A. (6, −3)
    • B. (3, 9)
    • C. (7, −4)
    • D. (−3, 6)

  13. Question 13

    Is (4, 2) a solution of the system −3x + 3y = −6 and −3x − y = −15?

    • A. Yes
    • B. No

  14. Question 14

    The graph shows y = x + 1 and y = x + 2. How many solutions does the system have?

    xy−8−6−4−22468−10−8−6−4−22468100y = x + 1y = x + 2
    • A. 0
    • B. 1
    • C. Infinitely many

  15. Question 15

    The graph shows y = −2x − 9 and y = −x − 6. What is the solution of the system? Type it like (2, −3).

    xy−8−6−4−22468−10−8−6−4−22468100y = −2x − 9y = −x − 6

    Answer

  16. Question 16

    Which point solves both x + y = 7 and x − y = −3?

    • A. (7, −3)
    • B. (3, 4)
    • C. (2, 5)
    • D. (5, 2)

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Answer key: Common Core 8.EE.C.8.A worksheet

  1. 1. B. No

  2. 2. A. 0

  3. 3. (4, 0)

  4. 4. C. (−4, −4)

  5. 5. B. No

  6. 6. A. 0

  7. 7. (−2, 0)

  8. 8. D. (0, 6)

  9. 9. A. Yes

  10. 10. A. 0

  11. 11. (−4, 2)

  12. 12. A. (6, −3)

  13. 13. B. No

  14. 14. A. 0

  15. 15. (−3, −3)

  16. 16. C. (2, 5)

8.EE.C.8a Worksheet: Check whether a point solves a system | Eurekami