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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 449 · 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.Solve for x: 3(x + 2) = x + 10. What is x?
  2. 2.Isha has 25 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  3. 3.8 × ? − 2 = 190
  4. 4.Dev has 30 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹214 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 9 and then take away 34. The answer is 191. What is my number?
  7. 7.The length of a rectangle is 11 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  8. 8.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹284 in all. What does one pencil cost (in ₹)?
  9. 9.Priya has 29 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 3(x + 5) = x + 55. What is x?
  11. 11.Solve for x: 7(x + 1) = 4x + 52. What is x?
  12. 12.Manav has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  13. 13.Farhan has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 3 and then take away 9. The answer is 39. What is my number?
  16. 16.The length of a rectangle is 6 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 6 and then take away 2. The answer is 124. What is my number?
  18. 18.Isha has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 2 and then take away 33. The answer is 9. What is my number?
  21. 21.I think of a number, multiply it by 8 and then take away 3. The answer is 181. What is my number?
  22. 22.A pen costs ₹5 more than a pencil. 6 pens and 4 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 6 and then add 29. The answer is 191. What is my number?
  24. 24.I think of a number, multiply it by 6 and then add 11. The answer is 161. What is my number?
  25. 25.A pen costs ₹10 more than a pencil. 4 pens and 2 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 8 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  27. 27.2 × ? + 5 = 43
  28. 28.Kabir has 17 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 9 and then take away 30. The answer is 6. What is my number?
  30. 30.Solve for x: 6(x + 2) = x + 102. What is x?
  31. 31.Solve for x: 6(x + 2) = x + 52. What is x?
  32. 32.3 × ? − 6 = 33
  33. 33.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  34. 34.8 × ? − 12 = 188
  35. 35.Solve for x: 8(x + 2) = 3x + 51. What is x?
  36. 36.Solve for x: 3(x + 7) = x + 51. What is x?
  37. 37.9 × ? − 4 = 104
  38. 38.Solve for x: 4(x + 9) = 2x + 48. What is x?
  39. 39.Aarav has 25 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?

Answer key

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

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