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Tell how many solutions a linear system has

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

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Date

Score/ 16

  1. Question 1

    How many solutions does this system have? 4x + 2y = βˆ’3 βˆ’8x βˆ’ 4y = 4

    • A. Exactly one
    • B. None
    • C. Infinitely many
  2. Question 2

    How many solutions does this system have? y = βˆ’4x + 1 y = βˆ’3x βˆ’ 6

    • A. Exactly one
    • B. None
    • C. Infinitely many
  3. Question 3

    How many solutions does this system have? x + 3y = βˆ’1 3x + 9y = βˆ’3

    • A. Exactly one
    • B. None
    • C. Infinitely many
  4. Question 4

    How many solutions does this system have? y = x βˆ’ 2 y = βˆ’5

    • A. Exactly one
    • B. None
    • C. Infinitely many
  5. Question 5

    How many solutions does this system have? 5x βˆ’ 3y = βˆ’2 10x βˆ’ 6y = βˆ’3

    • A. Exactly one
    • B. None
    • C. Infinitely many
  6. Question 6

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

    • A. Exactly one
    • B. None
    • C. Infinitely many
  7. Question 7

    How many solutions does this system have? 4x + y = 1 12x + 3y = 2

    • A. Exactly one
    • B. None
    • C. Infinitely many
  8. Question 8

    How many solutions does this system have? y = βˆ’2x βˆ’ 3 2y = βˆ’4x βˆ’ 6

    • A. Exactly one
    • B. None
    • C. Infinitely many
  9. Question 9

    How many solutions does this system have? βˆ’5x βˆ’ y = 6 10x + 2y = βˆ’12

    • A. Exactly one
    • B. None
    • C. Infinitely many
  10. Question 10

    How many solutions does this system have? y = βˆ’2x βˆ’ 6 y = βˆ’2x βˆ’ 3

    • A. Exactly one
    • B. None
    • C. Infinitely many
  11. Question 11

    How many solutions does this system have? βˆ’5x + 2y = βˆ’2 βˆ’15x + 6y = βˆ’8

    • A. Exactly one
    • B. None
    • C. Infinitely many
  12. Question 12

    How many solutions does this system have? y = βˆ’2x + 1 3y = βˆ’6x + 3

    • A. Exactly one
    • B. None
    • C. Infinitely many
  13. Question 13

    How many solutions does this system have? βˆ’5x + 2y = βˆ’4 βˆ’10x + 4y = βˆ’8

    • A. Exactly one
    • B. None
    • C. Infinitely many
  14. Question 14

    How many solutions does this system have? y = x βˆ’ 2 y = βˆ’x βˆ’ 1

    • A. Exactly one
    • B. None
    • C. Infinitely many
  15. Question 15

    How many solutions does this system have? βˆ’5x βˆ’ 5y = 0 βˆ’15x βˆ’ 15y = 0

    • A. Exactly one
    • B. None
    • C. Infinitely many
  16. Question 16

    How many solutions does this system have? y = βˆ’2x + 5 y = βˆ’2x + 8

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

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  1. None
  2. Exactly one
  3. Infinitely many
  4. Exactly one
  5. None
  6. Exactly one
  7. None
  8. Infinitely many
  9. Infinitely many
  10. None
  11. None
  12. Infinitely many
  13. Infinitely many
  14. Exactly one
  15. Infinitely many
  16. None