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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

Name

Date

Score/ 16

  1. Question 1

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

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

  2. Question 2

    The graph shows y = −x 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 = −xy = x − 6

    Answer

  3. Question 3

    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

  4. Question 4

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

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

    Answer

  5. Question 5

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

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

  6. Question 6

    The graph shows y = x + 8 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 = x + 8y = −2x − 4

    Answer

  7. Question 7

    The graph shows y = 2x + 3 and y = 2x + 4. How many solutions does the system have?

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

  8. Question 8

    The graph shows y = −2x − 3 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 − 3y = 2x + 5

    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 = −3x + 10 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 + 10y = 2x − 10

    Answer

  11. Question 11

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

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

  12. Question 12

    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

  13. Question 13

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

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

  14. Question 14

    The graph shows y = −x − 7 and y = −3x − 13. What is the solution of the system? Type it like (2, −3).

    xy−8−6−4−22468−10−8−6−4−22468100y = −x − 7y = −3x − 13

    Answer

  15. Question 15

    The graph shows y = −2x + 4 and y = −2x + 6. How many solutions does the system have?

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

  16. Question 16

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

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

    Answer

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Answer key: Solve a system by reading the intersection of two lines

  1. 1. A. 0

  2. 2. (3, −3)

  3. 3. A. 0

  4. 4. (−1, 4)

  5. 5. A. 0

  6. 6. (−4, 4)

  7. 7. A. 0

  8. 8. (−2, 1)

  9. 9. A. 0

  10. 10. (4, −2)

  11. 11. A. 0

  12. 12. (3, −4)

  13. 13. A. 0

  14. 14. (−3, −4)

  15. 15. A. 0

  16. 16. (0, 4)