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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 788 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  2. 2.8 × ? − 5 = 139
  3. 3.I think of a number, multiply it by 7 and then add 34. The answer is 216. What is my number?
  4. 4.I think of a number, multiply it by 2 and then take away 2. The answer is 42. What is my number?
  5. 5.I think of a number, multiply it by 8 and then add 27. The answer is 51. What is my number?
  6. 6.9 × ? + 16 = 88
  7. 7.10 × ? − 30 = 100
  8. 8.The length of a rectangle is 7 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  9. 9.7 × ? + 13 = 55
  10. 10.I think of a number, multiply it by 8 and then take away 9. The answer is 55. What is my number?
  11. 11.Solve for x: 8(x + 9) = 6x + 82. What is x?
  12. 12.7 × ? + 6 = 27
  13. 13.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 8(x + 3) = 4x + 48. What is x?
  15. 15.Solve for x: 5(x + 2) = 4x + 16. What is x?
  16. 16.A pen costs ₹15 more than a pencil. 2 pens and 4 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
  18. 18.Pooja has 24 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  19. 19.3 × ? − 19 = 17
  20. 20.The length of a rectangle is 8 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 3 and then take away 1. The answer is 80. What is my number?
  22. 22.Solve for x: 3(x + 2) = x + 18. What is x?
  23. 23.6 × ? − 23 = 37
  24. 24.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  26. 26.Solve for x: 6(x + 2) = x + 82. What is x?
  27. 27.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  28. 28.Tara has 17 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  29. 29.2 × ? − 9 = 33
  30. 30.The length of a rectangle is 11 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  31. 31.Solve for x: 5(x + 1) = x + 57. What is x?
  32. 32.I think of a number, multiply it by 9 and then add 13. The answer is 283. What is my number?
  33. 33.I think of a number, multiply it by 5 and then take away 2. The answer is 108. What is my number?
  34. 34.Solve for x: 3(x + 6) = x + 30. What is x?
  35. 35.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  36. 36.6 × ? + 26 = 80
  37. 37.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹240 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 6 and then take away 27. The answer is 99. What is my number?
  39. 39.I think of a number, multiply it by 9 and then take away 31. The answer is 140. What is my number?
  40. 40.2 × ? − 6 = 32

Answer key

  1. 3
  2. 18
  3. 26
  4. 22
  5. 3
  6. 8
  7. 13
  8. 28
  9. 6
  10. 8
  11. 5
  12. 3
  13. 9
  14. 6
  15. 6
  16. 16
  17. 4
  18. 14
  19. 12
  20. 7
  21. 27
  22. 6
  23. 10
  24. 11
  25. 25
  26. 14
  27. 8
  28. 3
  29. 21
  30. 30
  31. 13
  32. 30
  33. 22
  34. 6
  35. 18
  36. 9
  37. 18
  38. 21
  39. 19
  40. 19

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