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Tell how many solutions a linear system has

9th grade (Year 10 in England) · 16 questions · Common Core: 8.EE.C.8.B, HSA.REI.C.6

Name

Date

Score/ 16

  1. Question 1

    How many solutions does this system have? x − y = −8 3x − 3y = −27

    • A. Exactly one
    • B. None
    • C. Infinitely many

  2. Question 2

    How many solutions does this system have? y = −3x − 3 y = −3x + 1

    • A. Exactly one
    • B. None
    • C. Infinitely many

  3. Question 3

    How many solutions does this system have? 4x + 2y = −7 12x + 6y = −21

    • A. Exactly one
    • B. None
    • C. Infinitely many

  4. Question 4

    How many solutions does this system have? y = 3x − 6 y = 5x + 1

    • A. Exactly one
    • B. None
    • C. Infinitely many

  5. Question 5

    How many solutions does this system have? −2x − 3y = 7 −6x − 9y = 24

    • A. Exactly one
    • B. None
    • C. Infinitely many

  6. Question 6

    How many solutions does this system have? y = 3x − 2 y = 3x − 4

    • A. Exactly one
    • B. None
    • C. Infinitely many

  7. Question 7

    How many solutions does this system have? −4x + 3y = 4 −8x + 6y = 6

    • A. Exactly one
    • B. None
    • C. Infinitely many

  8. Question 8

    How many solutions does this system have? y = −3x − 3 y = −5x − 3

    • A. Exactly one
    • B. None
    • C. Infinitely many

  9. Question 9

    How many solutions does this system have? 4x − 2y = 8 8x − 4y = 16

    • A. Exactly one
    • B. None
    • C. Infinitely many

  10. Question 10

    How many solutions does this system have? y = x − 5 y = 2x + 4

    • A. Exactly one
    • B. None
    • C. Infinitely many

  11. Question 11

    How many solutions does this system have? −4x − 2y = 0 −12x − 6y = 0

    • A. Exactly one
    • B. None
    • C. Infinitely many

  12. Question 12

    How many solutions does this system have? y = 3x − 3 y = 4x + 4

    • A. Exactly one
    • B. None
    • C. Infinitely many

  13. Question 13

    How many solutions does this system have? 2x + 2y = 7 −4x − 4y = −14

    • A. Exactly one
    • B. None
    • C. Infinitely many

  14. Question 14

    How many solutions does this system have? y = 3x + 1 y = 2x + 1

    • A. Exactly one
    • B. None
    • C. Infinitely many

  15. Question 15

    How many solutions does this system have? −x + 3y = 3 −3x + 9y = 9

    • A. Exactly one
    • B. None
    • C. Infinitely many

  16. Question 16

    How many solutions does this system have? y = −3x − 3 y = −5x − 2

    • A. Exactly one
    • B. None
    • C. Infinitely many

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Answer key: Tell how many solutions a linear system has

  1. 1. B. None

  2. 2. B. None

  3. 3. C. Infinitely many

  4. 4. A. Exactly one

  5. 5. B. None

  6. 6. B. None

  7. 7. B. None

  8. 8. A. Exactly one

  9. 9. C. Infinitely many

  10. 10. A. Exactly one

  11. 11. C. Infinitely many

  12. 12. A. Exactly one

  13. 13. C. Infinitely many

  14. 14. A. Exactly one

  15. 15. C. Infinitely many

  16. 16. A. Exactly one