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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 569 · 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. 1.4 × ? − 16 = 8
  2. 2.7 × ? − 19 = 93
  3. 3.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 7 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  5. 5.Solve for x: 7(x + 5) = 4x + 95. What is x?
  6. 6.8 × ? + 18 = 210
  7. 7.I think of a number, multiply it by 9 and then add 35. The answer is 215. What is my number?
  8. 8.6 × ? + 6 = 150
  9. 9.I think of a number, multiply it by 4 and then add 7. The answer is 95. What is my number?
  10. 10.I think of a number, multiply it by 6 and then add 33. The answer is 201. What is my number?
  11. 11.A pen costs ₹14 more than a pencil. 5 pens and 7 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 8(x + 4) = 7x + 51. What is x?
  13. 13.Solve for x: 5(x + 4) = 4x + 36. What is x?
  14. 14.5 × ? + 23 = 108
  15. 15.Solve for x: 4(x + 2) = 2x + 22. What is x?
  16. 16.Solve for x: 8(x + 5) = x + 131. What is x?
  17. 17.2 × ? − 16 = 14
  18. 18.A pen costs ₹14 more than a pencil. 6 pens and 5 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  20. 20.3 × ? − 12 = 33
  21. 21.Manav has 19 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹12 more than a pencil. 2 pens and 4 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  23. 23.Kavya has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  24. 24.Meera has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  25. 25.Farhan has 24 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 4(x + 8) = 3x + 38. What is x?
  27. 27.The length of a rectangle is 13 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  28. 28.12 × ? − 10 = 194
  29. 29.The length of a rectangle is 2 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  30. 30.Aarav has 27 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 14 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  32. 32.A pen costs ₹15 more than a pencil. 6 pens and 4 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  34. 34.Solve for x: 9(x + 4) = 7x + 44. What is x?
  35. 35.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹11 more than a pencil. 3 pens and 5 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 6 and then add 38. The answer is 50. What is my number?
  38. 38.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  39. 39.7 × ? + 29 = 43
  40. 40.Isha has 29 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?

Answer key

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

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