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Solve a system by reading the intersection of two lines

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

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Score/ 16

  1. Question 1

    The graph shows y = 2x − 3 and y = 2x + 1. How many solutions does the system have?

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

  2. Question 2

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

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

    Answer

  3. Question 3

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

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

  4. Question 4

    The graph shows y = −3x + 13 and y = 3x − 5. What is the solution of the system? Type it like (2, −3).

    xy−8−6−4−22468−10−8−6−4−22468100y = −3x + 13y = 3x − 5

    Answer

  5. Question 5

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

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

  6. Question 6

    The graph shows y = −2x − 6 and y = 3x − 1. What is the solution of the system? Type it like (2, −3).

    xy−8−6−4−22468−10−8−6−4−22468100y = −2x − 6y = 3x − 1

    Answer

  7. Question 7

    The graph shows y = −2x − 2 and y = −2x − 4. How many solutions does the system have?

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

  8. Question 8

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

    xy−8−6−4−22468−10−8−6−4−22468100y = x + 3y = −3x − 9

    Answer

  9. Question 9

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

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

  10. Question 10

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

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

    Answer

  11. Question 11

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

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

  12. Question 12

    The graph shows y = 2x + 10 and y = −x + 1. What is the solution of the system? Type it like (2, −3).

    xy−8−6−4−22468−10−8−6−4−22468100y = 2x + 10y = −x + 1

    Answer

  13. Question 13

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

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

  14. Question 14

    The graph shows y = −2x + 11 and y = 2x − 5. What is the solution of the system? Type it like (2, −3).

    xy−8−6−4−22468−10−8−6−4−22468100y = −2x + 11y = 2x − 5

    Answer

  15. Question 15

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

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

  16. Question 16

    The graph shows y = x − 1 and y = −x − 7. What is the solution of the system? Type it like (2, −3).

    xy−8−6−4−22468−10−8−6−4−22468100y = x − 1y = −x − 7

    Answer

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  1. 0
  2. (−1, 1)
  3. 0
  4. (3, 4)
  5. 0
  6. (−1, −4)
  7. 0
  8. (−3, 0)
  9. 0
  10. (0, −2)
  11. 0
  12. (−3, 4)
  13. 0
  14. (4, 3)
  15. 0
  16. (−3, −4)