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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

    Sam solved 3x − 7 = x + 1 by adding 1x to both sides. Explain the mistake by finding the correct value of x.

    x =

  2. Question 2

    Solve: 2x + 15 = 3x + 16

    xxxxx

    2x + 15=3x + 16

    x =

  3. Question 3

    Solve: −4x − 3 = x + 7

    x =

  4. Question 4

    Yuki solved 7x = 4x − 12 by adding 4x to both sides. Explain the mistake by finding the correct value of x.

    x =

  5. Question 5

    Solve: 9x + 7 = 4x + 67

    9x + 7=4x + 67

    x =

  6. Question 6

    Solve: −2x + 9 = 6x + 41

    x =

  7. Question 7

    Ana solved 7x − 7 = 5x + 13 by adding 5x to both sides. Explain the mistake by finding the correct value of x.

    x =

  8. Question 8

    Solve: 9x − 6 = 3x + 66

    9x − 6=3x + 66

    x =

  9. Question 9

    Solve: −5x + 2 = x + 26

    x =

  10. Question 10

    Hiro solved 5x + 4 = 2x + 34 by adding 2x to both sides. Explain the mistake by finding the correct value of x.

    x =

  11. Question 11

    Solve: 5x − 9 = 8x

    5x − 9=8x

    x =

  12. Question 12

    Solve: −6x − 3 = x − 10

    x =

  13. Question 13

    Felix solved 3x − 8 = 2x − 4 by adding 2x to both sides. Explain the mistake by finding the correct value of x.

    x =

  14. Question 14

    Solve: 3x − 2 = x − 6

    3x − 2=x − 6

    x =

  15. Question 15

    Solve: −3x + 7 = 3x + 1

    x =

  16. Question 16

    Yuki solved 6x − 1 = 4x − 7 by adding 4x to both sides. Explain the mistake by finding the correct value of x.

    x =

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Answer key: Solve equations with x on both sides

  1. 1. x = 4

  2. 2. x = -1

  3. 3. x = -2

  4. 4. x = -4

  5. 5. x = 12

  6. 6. x = -4

  7. 7. x = 10

  8. 8. x = 12

  9. 9. x = -4

  10. 10. x = 10

  11. 11. x = -3

  12. 12. x = 1

  13. 13. x = 4

  14. 14. x = -2

  15. 15. x = 1

  16. 16. x = -3