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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 212 · 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 8 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  3. 3.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 3 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  5. 5.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  6. 6.Diya has 18 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 3 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  8. 8.Solve for x: 5(x + 1) = 4x + 23. What is x?
  9. 9.A pen costs ₹13 more than a pencil. 4 pens and 2 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  10. 10.Ishaan has 23 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 3 and then take away 6. The answer is 75. What is my number?
  12. 12.Saanvi has 23 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 3(x + 8) = x + 56. What is x?
  14. 14.I think of a number, multiply it by 4 and then add 35. The answer is 71. What is my number?
  15. 15.A pen costs ₹5 more than a pencil. 3 pens and 2 pencils cost ₹35 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹4 more than a pencil. 4 pens and 8 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  17. 17.11 × ? − 18 = 180
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  19. 19.Solve for x: 8(x + 1) = 5x + 47. What is x?
  20. 20.2 × ? − 15 = 31
  21. 21.10 × ? − 30 = 90
  22. 22.I think of a number, multiply it by 6 and then add 8. The answer is 158. What is my number?
  23. 23.The length of a rectangle is 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 10 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  25. 25.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  26. 26.Aditya has 19 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  27. 27.I think of a number, multiply it by 7 and then take away 38. The answer is 88. What is my number?
  28. 28.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  29. 29.6 × ? + 9 = 21
  30. 30.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  31. 31.Rahul has 25 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹10 more than a pencil. 4 pens and 7 pencils cost ₹249 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 6(x + 4) = x + 49. What is x?
  35. 35.I think of a number, multiply it by 3 and then take away 32. The answer is 7. What is my number?
  36. 36.Solve for x: 8(x + 2) = x + 79. What is x?
  37. 37.I think of a number, multiply it by 7 and then add 4. The answer is 53. What is my number?
  38. 38.A pen costs ₹11 more than a pencil. 4 pens and 2 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  39. 39.Aarav has 24 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?

Answer key

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

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