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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 971 · 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. 1.11 × ? + 6 = 39
  2. 2.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 14 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  4. 4.10 × ? − 9 = 171
  5. 5.I think of a number, multiply it by 5 and then add 28. The answer is 93. What is my number?
  6. 6.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹10 more than a pencil. 3 pens and 4 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 9 and then add 26. The answer is 179. What is my number?
  10. 10.A pen costs ₹14 more than a pencil. 2 pens and 6 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 6 and then take away 24. The answer is 102. What is my number?
  12. 12.I think of a number, multiply it by 3 and then add 13. The answer is 37. What is my number?
  13. 13.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 12 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  15. 15.9 × ? + 3 = 210
  16. 16.I think of a number, multiply it by 2 and then take away 14. The answer is 6. What is my number?
  17. 17.4 × ? − 9 = 55
  18. 18.11 × ? − 10 = 133
  19. 19.A pen costs ₹14 more than a pencil. 5 pens and 4 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 10 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  23. 23.8 × ? − 5 = 51
  24. 24.I think of a number, multiply it by 8 and then take away 38. The answer is 10. What is my number?
  25. 25.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  26. 26.Meera has 15 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 9(x + 4) = 3x + 150. What is x?
  28. 28.4 × ? − 13 = 47
  29. 29.The length of a rectangle is 4 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 3 and then add 3. The answer is 54. What is my number?
  31. 31.2 × ? − 13 = 1
  32. 32.Solve for x: 3(x + 9) = x + 29. What is x?
  33. 33.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 8(x + 3) = 2x + 48. What is x?
  35. 35.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 8 and then add 25. The answer is 169. What is my number?
  37. 37.The length of a rectangle is 15 m more than its breadth. Its perimeter is 150 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 14 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  39. 39.3 × ? + 9 = 24
  40. 40.A pen costs ₹4 more than a pencil. 5 pens and 7 pencils cost ₹224 in all. What does one pencil cost (in ₹)?

Answer key

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

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