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Solve linear equations by clearing fractions

9th grade (Year 10 in England) · 16 questions · Common Core: HSA.REI.B.3 · England: GCSE Foundation Algebra, GCSE Higher Algebra

Name

Date

Score/ 16

  1. Question 1

    Solve: x/4 + x/6 = 10

    x =

  2. Question 2

    Solve: x/4 + 3 = 7

    x =

  3. Question 3

    Solve: (x − 6)/5 = 0

    x =

  4. Question 4

    Solve: x/3 + x/6 = −12

    x =

  5. Question 5

    Solve: x/4 + 5 = 13

    x =

  6. Question 6

    Solve: (x + 8)/6 = −1

    x =

  7. Question 7

    Solve: x/3 + x/4 = 14

    x =

  8. Question 8

    Solve: x/8 + 5 = 1

    x =

  9. Question 9

    Solve: (x − 1)/4 = 4

    x =

  10. Question 10

    Solve: x/2 + x/6 = 8

    x =

  11. Question 11

    Solve: x/2 − 8 = −6

    x =

  12. Question 12

    Solve: (x + 2)/6 = 0

    x =

  13. Question 13

    Solve: x/2 + x/6 = −12

    x =

  14. Question 14

    Solve: x/2 + 1 = 1

    x =

  15. Question 15

    Solve: (x + 4)/4 = 1

    x =

  16. Question 16

    Solve: x/4 + x/5 = −9

    x =

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Answer key: Solve linear equations by clearing fractions

  1. 1. x = 24

  2. 2. x = 16

  3. 3. x = 6

  4. 4. x = -24

  5. 5. x = 32

  6. 6. x = -14

  7. 7. x = 24

  8. 8. x = -32

  9. 9. x = 17

  10. 10. x = 12

  11. 11. x = 4

  12. 12. x = -2

  13. 13. x = -18

  14. 14. x = 0

  15. 15. x = 0

  16. 16. x = -20