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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 316 · 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 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  2. 2.7 × ? − 7 = 42
  3. 3.Rahul has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  6. 6.Solve for x: 3(x + 2) = 2x + 7. What is x?
  7. 7.Solve for x: 4(x + 2) = x + 44. What is x?
  8. 8.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  9. 9.6 × ? + 19 = 103
  10. 10.4 × ? − 2 = 50
  11. 11.A pen costs ₹14 more than a pencil. 2 pens and 8 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹7 more than a pencil. 5 pens and 7 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 12 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  15. 15.Solve for x: 4(x + 6) = x + 54. What is x?
  16. 16.Solve for x: 8(x + 4) = x + 46. What is x?
  17. 17.Ananya has 24 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  19. 19.Dev has 28 coins, all ₹5 and ₹2 coins, worth ₹119 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹2 more than a pencil. 3 pens and 6 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  21. 21.Ishaan has 30 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?
  22. 22.Nisha has 28 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 6 and then take away 15. The answer is 33. What is my number?
  24. 24.8 × ? − 26 = 86
  25. 25.12 × ? − 15 = 69
  26. 26.Kavya has 27 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  27. 27.Sneha has 18 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  28. 28.Karan has 29 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 4 and then add 39. The answer is 99. What is my number?
  30. 30.9 × ? + 30 = 93
  31. 31.I think of a number, multiply it by 8 and then add 5. The answer is 213. What is my number?
  32. 32.A pen costs ₹10 more than a pencil. 3 pens and 7 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 4(x + 3) = 2x + 52. What is x?
  34. 34.I think of a number, multiply it by 4 and then add 25. The answer is 137. What is my number?
  35. 35.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 4 and then add 32. The answer is 68. What is my number?
  38. 38.I think of a number, multiply it by 8 and then add 27. The answer is 235. What is my number?
  39. 39.11 × ? − 11 = 55
  40. 40.A pen costs ₹8 more than a pencil. 5 pens and 5 pencils cost ₹210 in all. What does one pencil cost (in ₹)?

Answer key

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

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