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Systems of linear equations (simultaneous equations)

8th grade (Year 9 in England) Β· 16 questions Β· Common Core: 8.EE.C.8 Β· England: GCSE Foundation Algebra, GCSE Higher Algebra

Name

Date

Score/ 16

  1. Question 1

    Where do the lines y = 3x + 9 and y = βˆ’x + 1 meet? Type the point like (2, βˆ’1).

    xyβˆ’66βˆ’12βˆ’66120y = 3x + 9y = βˆ’x + 1

    Answer

  2. Question 2

    Solve: 4x + 5y = βˆ’5 and 5x βˆ’ 5y = 50. Find y.

    Answer

  3. Question 3

    Solve the system: y = βˆ’3x + 5 and 2x + 2y = 18. Find x.

    x =

  4. Question 4

    Where do the lines y = βˆ’3x βˆ’ 2 and y = 3x + 10 meet? Type the point like (2, βˆ’1).

    xyβˆ’66βˆ’12βˆ’66120y = βˆ’3x βˆ’ 2y = 3x + 10

    Answer

  5. Question 5

    Solve: 5x + 5y = 40 and 3x βˆ’ 5y = βˆ’40. Find y.

    Answer

  6. Question 6

    Solve the system: y = 3x + 1 and 2x + y = 1. Find x.

    x =

  7. Question 7

    Where do the lines y = 2x βˆ’ 7 and y = x βˆ’ 5 meet? Type the point like (2, βˆ’1).

    xyβˆ’66βˆ’12βˆ’66120y = 2x βˆ’ 7y = x βˆ’ 5

    Answer

  8. Question 8

    Solve: 4x + 2y = βˆ’26 and 4x βˆ’ 2y = βˆ’14. Find y.

    Answer

  9. Question 9

    Solve the system: y = 4x + 1 and x + 3y = βˆ’62. Find x.

    x =

  10. Question 10

    Where do the lines y = βˆ’2x βˆ’ 2 and y = 3x + 3 meet? Type the point like (2, βˆ’1).

    xyβˆ’66βˆ’12βˆ’66120y = βˆ’2x βˆ’ 2y = 3x + 3

    Answer

  11. Question 11

    Solve: 5x + 3y = 22 and 4x βˆ’ 3y = βˆ’4. Find y.

    Answer

  12. Question 12

    Solve the system: y = βˆ’2x βˆ’ 1 and 4x + 3y = 7. Find x.

    x =

  13. Question 13

    Where do the lines y = 3x βˆ’ 11 and y = x βˆ’ 3 meet? Type the point like (2, βˆ’1).

    xyβˆ’66βˆ’12βˆ’66120y = 3x βˆ’ 11y = x βˆ’ 3

    Answer

  14. Question 14

    Solve: 2x + 5y = βˆ’9 and 3x βˆ’ 5y = 49. Find y.

    Answer

  15. Question 15

    Solve the system: y = x and 4x + y = 0. Find x.

    x =

  16. Question 16

    Where do the lines y = βˆ’3x βˆ’ 1 and y = 3x βˆ’ 1 meet? Type the point like (2, βˆ’1).

    xyβˆ’66βˆ’12βˆ’66120y = βˆ’3x βˆ’ 1y = 3x βˆ’ 1

    Answer

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  1. (βˆ’2, 3)
  2. -5
  3. x = -2
  4. (βˆ’2, 4)
  5. 8
  6. x = 0
  7. (2, βˆ’3)
  8. -3
  9. x = -5
  10. (βˆ’1, 0)
  11. 4
  12. x = -5
  13. (4, 1)
  14. -5
  15. x = 0
  16. (0, βˆ’1)