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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 ÷ 2 = 11

    x =

  2. Question 2

    Zara has $261 saved and adds $25 each week. After how many weeks will Zara have $611?

    Answer

  3. Question 3

    Solve: 9x = 18

    9x=18

    x =

  4. Question 4

    A phone plan costs $8 per month plus $5 per GB of data. One month's bill was $73. How many GB were used?

    Answer

  5. Question 5

    Solve and check by substituting: 5x − 7 = −52

    x =

  6. Question 6

    Solve: 8x + 5 = 69

    x =

  7. Question 7

    Solve: (2/3)x = 4

    x =

  8. Question 8

    Solve: 23 − 3x = 38

    x =

  9. Question 9

    A rectangular dog run is 3 m wide. Its perimeter is 86 m. Use 2L + 6 = 86 to find its length L, in m.

    Answer

  10. Question 10

    Solve: y + 7.4 = 11.6

    y =

  11. Question 11

    Solve: x/3 − 6 = −6

    x =

  12. Question 12

    Solve: 7x + 3 = 52

    x =

  13. Question 13

    Solve: x + 44 = 112

    x + 44=112

    x =

  14. Question 14

    Solve: 2x + 12 = 30

    xx

    2x + 12=30

    x =

  15. Question 15

    Solve: x + 3/4 = 2. Give x as a fraction or mixed number in simplest form.

    Answer(as a fraction)

  16. Question 16

    Solve: x ÷ 9 = 5

    x =

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Answer key: Solving equations

  1. 1. x = 22

  2. 2. 14

  3. 3. x = 2

  4. 4. 13

  5. 5. x = -9

  6. 6. x = 8

  7. 7. x = 6

  8. 8. x = -5

  9. 9. 40

  10. 10. y = 4.2

  11. 11. x = 0

  12. 12. x = 7

  13. 13. x = 68

  14. 14. x = 9

  15. 15. 5/4

  16. 16. x = 45