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Predict the number of solutions of a system

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

Name

Date

Score/ 16

  1. Question 1

    For which value of k does the system y = βˆ’x + 3 and y = kx βˆ’ 7 have NO solution?

    Answer

  2. Question 2

    How many solutions does the system y = 3x + 3 and 2y = 6x + 6 have?

    • A. 0
    • B. Infinitely many
    • C. 1
  3. Question 3

    For which value of k does the system y = 3x + 3 and y = kx βˆ’ 8 have NO solution?

    Answer

  4. Question 4

    How many solutions does the system y = 3x + 3 and y = 4x + 3 have?

    • A. 0
    • B. Infinitely many
    • C. 1
  5. Question 5

    For which value of k does the system y = 4x βˆ’ 3 and y = kx βˆ’ 1 have NO solution?

    Answer

  6. Question 6

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

    • A. 0
    • B. Infinitely many
    • C. 1
  7. Question 7

    For which value of k does the system y = βˆ’2x βˆ’ 1 and y = kx + 8 have NO solution?

    Answer

  8. Question 8

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

    • A. 0
    • B. Infinitely many
    • C. 1
  9. Question 9

    For which value of k does the system y = 3x βˆ’ 2 and y = kx βˆ’ 4 have NO solution?

    Answer

  10. Question 10

    How many solutions does the system y = βˆ’3x + 5 and y = βˆ’3x + 8 have?

    • A. 0
    • B. Infinitely many
    • C. 1
  11. Question 11

    For which value of k does the system y = βˆ’3x βˆ’ 1 and y = kx + 3 have NO solution?

    Answer

  12. Question 12

    How many solutions does the system y = βˆ’3x βˆ’ 5 and y = βˆ’3x βˆ’ 2 have?

    • A. 0
    • B. Infinitely many
    • C. 1
  13. Question 13

    For which value of k does the system y = 4x βˆ’ 6 and y = kx βˆ’ 3 have NO solution?

    Answer

  14. Question 14

    How many solutions does the system y = 5x βˆ’ 5 and y = 6x βˆ’ 5 have?

    • A. 0
    • B. Infinitely many
    • C. 1
  15. Question 15

    For which value of k does the system y = βˆ’2x + 8 and y = kx + 7 have NO solution?

    Answer

  16. Question 16

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

    • A. 0
    • B. Infinitely many
    • C. 1

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Answer key: Predict the number of solutions of a system

  1. 1. -1

  2. 2. B. Infinitely many

  3. 3. 3

  4. 4. C. 1

  5. 5. 4

  6. 6. B. Infinitely many

  7. 7. -2

  8. 8. C. 1

  9. 9. 3

  10. 10. A. 0

  11. 11. -3

  12. 12. A. 0

  13. 13. 4

  14. 14. C. 1

  15. 15. -2

  16. 16. C. 1