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Solving equations

Grades 6 and 7 (Years 6 to 8 in England) · 16 questions · Common Core: 6.EE.B.7, 7.EE.B.4.A · England: KS3 Algebra, GCSE Foundation Algebra

Name

Date

Score/ 16

  1. Question 1

    Solve: x/5 + 11 = 13

    x =

  2. Question 2

    Solve: 7x = 91

    7x=91

    x =

  3. Question 3

    Solve: x − 10 = −15

    x =

  4. Question 4

    A rectangular dog run is 6 m wide. Its perimeter is 74 m. Use 2L + 12 = 74 to find its length L, in m.

    Answer

  5. Question 5

    Solve and check by substituting: 5x + 1 = 16

    x =

  6. Question 6

    Solve: x ÷ 7 = 11

    x =

  7. Question 7

    A phone plan costs $20 per month plus $8 per GB of data. One month's bill was $68. How many GB were used?

    Answer

  8. Question 8

    Leo has $179 saved and adds $7 each week. After how many weeks will Leo have $214?

    Answer

  9. Question 9

    Solve: x + 18 = 72

    x

    x + 18=72

    x =

  10. Question 10

    Solve: 7x + 18 = 88

    7x + 18=88

    x =

  11. Question 11

    Solve: x + 2/4 = 1 1/2. Give x as a fraction or mixed number in simplest form.

    Answer(as a fraction)

  12. Question 12

    Solve: y + 3 = 13.7

    y =

  13. Question 13

    Solve: 9 − 7x = 37

    x =

  14. Question 14

    Solve: 4x + 1 = 21

    x =

  15. Question 15

    Solve: (4/5)x = 20

    x =

  16. Question 16

    Solve: x/5 − 4 = 5

    x =

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Answer key: Solving equations

  1. 1. x = 10

  2. 2. x = 13

  3. 3. x = -5

  4. 4. 31

  5. 5. x = 3

  6. 6. x = 77

  7. 7. 6

  8. 8. 5

  9. 9. x = 54

  10. 10. x = 10

  11. 11. 1

  12. 12. y = 10.7

  13. 13. x = -4

  14. 14. x = 5

  15. 15. x = 25

  16. 16. x = 45