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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

    Solve: 3x + y = 14 and 3x βˆ’ y = βˆ’2. Find y.

    Answer

  2. Question 2

    Solve the system: y = βˆ’x βˆ’ 4 and x + 3y = βˆ’12. Find x.

    x =

  3. Question 3

    Where do the lines y = x βˆ’ 4 and y = βˆ’2x βˆ’ 1 meet? Type the point like (2, βˆ’1).

    xyβˆ’66βˆ’12βˆ’66120y = x βˆ’ 4y = βˆ’2x βˆ’ 1

    Answer

  4. Question 4

    Solve: 3x + y = βˆ’16 and 3x βˆ’ y = βˆ’8. Find y.

    Answer

  5. Question 5

    Solve the system: y = 3x βˆ’ 1 and 2x + 3y = βˆ’36. Find x.

    x =

  6. Question 6

    Where do the lines y = βˆ’x + 4 and y = x meet? Type the point like (2, βˆ’1).

    xyβˆ’66βˆ’12βˆ’66120y = βˆ’x + 4y = x

    Answer

  7. Question 7

    Solve: x + 3y = 0 and x βˆ’ 3y = βˆ’6. Find y.

    Answer

  8. Question 8

    Solve the system: y = 3x and 4x + 3y = 91. Find x.

    x =

  9. Question 9

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

    xyβˆ’66βˆ’12βˆ’66120y = βˆ’x + 7y = x βˆ’ 1

    Answer

  10. Question 10

    Solve: 2x + 4y = βˆ’12 and 4x βˆ’ 4y = 24. Find y.

    Answer

  11. Question 11

    Solve the system: y = 2x and 3x + 3y = 63. Find x.

    x =

  12. Question 12

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

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

    Answer

  13. Question 13

    Solve: 2x + 2y = 2 and x βˆ’ 2y = βˆ’17. Find y.

    Answer

  14. Question 14

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

    x =

  15. Question 15

    Where do the lines y = 2x + 6 and y = βˆ’2x βˆ’ 6 meet? Type the point like (2, βˆ’1).

    xyβˆ’66βˆ’12βˆ’66120y = 2x + 6y = βˆ’2x βˆ’ 6

    Answer

  16. Question 16

    Solve: 5x + 2y = 44 and x βˆ’ 2y = 4. Find y.

    Answer

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Answer key: Systems of linear equations (simultaneous equations)

  1. 1. 8

  2. 2. x = 0

  3. 3. (1, βˆ’3)

  4. 4. -4

  5. 5. x = -3

  6. 6. (2, 2)

  7. 7. 1

  8. 8. x = 7

  9. 9. (4, 3)

  10. 10. -4

  11. 11. x = 7

  12. 12. (βˆ’1, 4)

  13. 13. 6

  14. 14. x = 0

  15. 15. (βˆ’3, 0)

  16. 16. 2