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Systems of three equations

12th grade (Year 13 in England) Β· 16 questions Β· Common Core: HSA.REI.C.6

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Date

Score/ 16

  1. Question 1

    Solve: x + y + z = 0, x βˆ’ y + 2z = βˆ’8, 2x + y βˆ’ z = βˆ’4. What is y?

    Answer

  2. Question 2

    Solve: x + y + z = βˆ’7, x βˆ’ y + 2z = βˆ’3, 2x + y βˆ’ z = βˆ’5. What is y?

    Answer

  3. Question 3

    Solve: x + y + z = βˆ’6, x βˆ’ y + 2z = βˆ’6, 2x + y βˆ’ z = βˆ’5. What is z?

    Answer

  4. Question 4

    Solve: x + y + z = 4, x βˆ’ y + 2z = 15, 2x + y βˆ’ z = 3. What is y?

    Answer

  5. Question 5

    Solve: x + y + z = 8, x βˆ’ y + 2z = 2, 2x + y βˆ’ z = 13. What is z?

    Answer

  6. Question 6

    Solve: x + y + z = 8, x βˆ’ y + 2z = 10, 2x + y βˆ’ z = 10. What is x?

    Answer

  7. Question 7

    Solve: x + y + z = 1, x βˆ’ y + 2z = βˆ’5, 2x + y βˆ’ z = βˆ’1. What is z?

    Answer

  8. Question 8

    Solve: x + y + z = 11, x βˆ’ y + 2z = 0, 2x + y βˆ’ z = 13. What is x?

    Answer

  9. Question 9

    Solve: x + y + z = 12, x βˆ’ y + 2z = 11, 2x + y βˆ’ z = 6. What is z?

    Answer

  10. Question 10

    Solve: x + y + z = 3, x βˆ’ y + 2z = 2, 2x + y βˆ’ z = 2. What is y?

    Answer

  11. Question 11

    Solve: x + y + z = βˆ’1, x βˆ’ y + 2z = βˆ’7, 2x + y βˆ’ z = βˆ’5. What is x?

    Answer

  12. Question 12

    Solve: x + y + z = 11, x βˆ’ y + 2z = 16, 2x + y βˆ’ z = 7. What is x?

    Answer

  13. Question 13

    Solve: x + y + z = βˆ’7, x βˆ’ y + 2z = βˆ’3, 2x + y βˆ’ z = βˆ’5. What is z?

    Answer

  14. Question 14

    Solve: x + y + z = βˆ’10, x βˆ’ y + 2z = βˆ’4, 2x + y βˆ’ z = βˆ’10. What is y?

    Answer

  15. Question 15

    Solve: x + y + z = 11, x βˆ’ y + 2z = 6, 2x + y βˆ’ z = 2. What is y?

    Answer

  16. Question 16

    Solve: x + y + z = 4, x βˆ’ y + 2z = 8, 2x + y βˆ’ z = 10. What is x?

    Answer

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Answer key: Systems of three equations

  1. 1. 4

  2. 2. -3

  3. 3. -2

  4. 4. -4

  5. 5. 0

  6. 6. 6

  7. 7. 0

  8. 8. 4

  9. 9. 5

  10. 10. 1

  11. 11. -4

  12. 12. 6

  13. 13. -2

  14. 14. -4

  15. 15. 5

  16. 16. 6