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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: 24 − 7x = 17

    x =

  2. Question 2

    Solve: 5x − 11 = −36

    x =

  3. Question 3

    Ben solved 3x + 12 = 39 and got x = 17. Check by substituting, then give the correct solution.

    x =

  4. Question 4

    Solve: 7x = 140

    7x=140

    x =

  5. Question 5

    A rectangular dog run is 7 m wide. Its perimeter is 70 m. Use 2L + 14 = 70 to find its length L, in m.

    Answer

  6. Question 6

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

    Answer(as a fraction)

  7. Question 7

    Ines has $201 saved and adds $21 each week. After how many weeks will Ines have $327?

    Answer

  8. Question 8

    Solve: x − 48 = −23

    x − 48=−23

    x =

  9. Question 9

    Solve: x/2 + 4 = 10

    x =

  10. Question 10

    Solve: y + 8.2 = 21.5

    y =

  11. Question 11

    A phone plan costs $16 per month plus $2 per GB of data. One month's bill was $38. How many GB were used?

    Answer

  12. Question 12

    Solve: x ÷ 4 = 8

    x =

  13. Question 13

    Solve: (2/5)x = 16

    x =

  14. Question 14

    Solve: 8x − 6 = 50

    x =

  15. Question 15

    Solve: 3x + 4 = 31

    xxx

    3x + 4=31

    x =

  16. Question 16

    Solve: 1 − 4x = 13

    x =

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Answer key: Solving equations

  1. 1. x = 1

  2. 2. x = -5

  3. 3. x = 9

  4. 4. x = 20

  5. 5. 28

  6. 6. 1/2

  7. 7. 6

  8. 8. x = 25

  9. 9. x = 12

  10. 10. y = 13.3

  11. 11. 11

  12. 12. x = 32

  13. 13. x = 40

  14. 14. x = 7

  15. 15. x = 9

  16. 16. x = -3