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Write and solve equations from words

7th grade (Year 8 in England) · 16 questions · Common Core: 7.EE.B.4.A · England: KS3 Algebra, GCSE Foundation Algebra

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  1. Question 1

    The sum of 5 consecutive integers is 155. Let the smallest be x. Find x.

    x =

  2. Question 2

    A rectangle is 2 cm longer than it is wide. Its perimeter is 60 cm. Find the width x in cm.

    x =

  3. Question 3

    Liam thinks of a number, multiplies it by 6 and adds 9. The answer is 117. Find the number.

    x =

  4. Question 4

    The sum of 5 consecutive integers is 190. Let the smallest be x. Find x.

    x =

  5. Question 5

    A rectangle is 4 cm longer than it is wide. Its perimeter is 16 cm. Find the width x in cm.

    x =

  6. Question 6

    Arjun thinks of a number, multiplies it by 2 and adds 10. The answer is 24. Find the number.

    x =

  7. Question 7

    The sum of 3 consecutive integers is 69. Let the smallest be x. Find x.

    x =

  8. Question 8

    A rectangle is 3 cm longer than it is wide. Its perimeter is 18 cm. Find the width x in cm.

    x =

  9. Question 9

    Chloe thinks of a number, multiplies it by 7 and adds 21. The answer is 84. Find the number.

    x =

  10. Question 10

    The sum of 3 consecutive integers is −15. Let the smallest be x. Find x.

    x =

  11. Question 11

    A rectangle is 1 cm longer than it is wide. Its perimeter is 18 cm. Find the width x in cm.

    x =

  12. Question 12

    Aisha thinks of a number, multiplies it by 4 and adds 27. The answer is 103. Find the number.

    x =

  13. Question 13

    The sum of 4 consecutive integers is 30. Let the smallest be x. Find x.

    x =

  14. Question 14

    A rectangle is 7 cm longer than it is wide. Its perimeter is 58 cm. Find the width x in cm.

    x =

  15. Question 15

    Ravi thinks of a number, multiplies it by 5 and adds 29. The answer is 129. Find the number.

    x =

  16. Question 16

    The sum of 3 consecutive integers is 87. Let the smallest be x. Find x.

    x =

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Answer key: Write and solve equations from words

  1. 1. x = 29

  2. 2. x = 14

  3. 3. x = 18

  4. 4. x = 36

  5. 5. x = 2

  6. 6. x = 7

  7. 7. x = 22

  8. 8. x = 3

  9. 9. x = 9

  10. 10. x = -6

  11. 11. x = 4

  12. 12. x = 19

  13. 13. x = 6

  14. 14. x = 11

  15. 15. x = 20

  16. 16. x = 28