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Solve equations with x on both sides

8th grade (Year 9 in England) · 16 questions · Common Core: 8.EE.C.7.B · England: KS3 Algebra, GCSE Foundation Algebra

Name

Date

Score/ 16

  1. Question 1

    Solve: −5x + 4 = 3x − 36

    x =

  2. Question 2

    Solve: 6x + 12 = 4x + 24

    xxxxxx

    6x + 12=4x + 24

    x =

  3. Question 3

    Ethan solved 9x − 8 = 7x − 18 by adding 7x to both sides. Explain the mistake by finding the correct value of x.

    x =

  4. Question 4

    Solve: −2x + 11 = 4x − 1

    x =

  5. Question 5

    Solve: 5x − 2 = 4x + 9

    xxxx

    5x − 2=4x + 9

    x =

  6. Question 6

    Ethan solved 4x − 10 = 2x + 4 by adding 2x to both sides. Explain the mistake by finding the correct value of x.

    x =

  7. Question 7

    Solve: −3x − 8 = 4x + 13

    x =

  8. Question 8

    Solve: 2x + 7 = x + 17

    xxx

    2x + 7=x + 17

    x =

  9. Question 9

    Ana solved 7x − 6 = 2x − 21 by adding 2x to both sides. Explain the mistake by finding the correct value of x.

    x =

  10. Question 10

    Solve: −x + 9 = x + 1

    x =

  11. Question 11

    Solve: 5x + 4 = 4x − 5

    xxxxx

    5x + 4=4x − 5

    x =

  12. Question 12

    Ravi solved 5x + 1 = 3x − 11 by adding 3x to both sides. Explain the mistake by finding the correct value of x.

    x =

  13. Question 13

    Solve: −5x − 5 = x − 35

    x =

  14. Question 14

    Solve: 7x − 4 = 4x − 31

    7x − 4=4x − 31

    x =

  15. Question 15

    Felix solved 7x = x by adding 1x to both sides. Explain the mistake by finding the correct value of x.

    x =

  16. Question 16

    Solve: −5x + 12 = 3x − 12

    x =

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All done? Check your answers
  1. x = 5
  2. x = 6
  3. x = -5
  4. x = 2
  5. x = 11
  6. x = 7
  7. x = -3
  8. x = 10
  9. x = -3
  10. x = 4
  11. x = -9
  12. x = -6
  13. x = 5
  14. x = -9
  15. x = 0
  16. x = 3