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Solve a linear system by adding or subtracting equations

9th grade (Year 10 in England) · 16 questions · Common Core: HSA.REI.C.5, HSA.REI.C.6 · England: GCSE Foundation Algebra, GCSE Higher Algebra

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Date

Score/ 16

  1. Question 1

    Solve: −5x + 2y = −21 x − 2y = 1 Type the solution like (2, −1).

    Answer

  2. Question 2

    Solve: x + 4y = −10 x + 2y = −2 Type the solution like (2, −1).

    Answer

  3. Question 3

    Which first move eliminates y straight away? 4x + 6y = −8 5x + 8y = 4

    • A. Add the equations
    • B. Subtract the equations
    • C. Multiply one equation first

  4. Question 4

    Solve: x + y = −3 −5x − y = −9 Type the solution like (2, −1).

    Answer

  5. Question 5

    Solve: 4x + y = 10 4x + 2y = 12 Type the solution like (2, −1).

    Answer

  6. Question 6

    Which first move eliminates y straight away? 5x + 5y = −5 3x + 5y = −2

    • A. Add the equations
    • B. Subtract the equations
    • C. Multiply one equation first

  7. Question 7

    Solve: −x + 3y = 0 −2x − 3y = 18 Type the solution like (2, −1).

    Answer

  8. Question 8

    Solve: 5x + 3y = −20 5x + 5y = −20 Type the solution like (2, −1).

    Answer

  9. Question 9

    Which first move eliminates y straight away? 3x + 6y = 1 3x + 9y = 7

    • A. Add the equations
    • B. Subtract the equations
    • C. Multiply one equation first

  10. Question 10

    Solve: 3x + 3y = 6 −5x − 3y = −2 Type the solution like (2, −1).

    Answer

  11. Question 11

    Solve: 3x − 2y = −18 3x + 2y = −18 Type the solution like (2, −1).

    Answer

  12. Question 12

    Which first move eliminates y straight away? 2x + 6y = −2 2x + 8y = 4

    • A. Add the equations
    • B. Subtract the equations
    • C. Multiply one equation first

  13. Question 13

    Solve: −5x + 2y = 38 −4x − 2y = 16 Type the solution like (2, −1).

    Answer

  14. Question 14

    Solve: x + 2y = −3 x + 3y = −3 Type the solution like (2, −1).

    Answer

  15. Question 15

    Which first move eliminates y straight away? x + y = −3 x + 2y = 5

    • A. Add the equations
    • B. Subtract the equations
    • C. Multiply one equation first

  16. Question 16

    Solve: −4x + 4y = −32 −5x − 4y = 5 Type the solution like (2, −1).

    Answer

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Answer key: Solve a linear system by adding or subtracting equations

  1. 1. (5, 2)

  2. 2. (6, −4)

  3. 3. C. Multiply one equation first

  4. 4. (3, −6)

  5. 5. (2, 2)

  6. 6. B. Subtract the equations

  7. 7. (−6, −2)

  8. 8. (−4, 0)

  9. 9. C. Multiply one equation first

  10. 10. (−2, 4)

  11. 11. (−6, 0)

  12. 12. C. Multiply one equation first

  13. 13. (−6, 4)

  14. 14. (−3, 0)

  15. 15. C. Multiply one equation first

  16. 16. (3, −5)