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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 844 · 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.I think of a number, multiply it by 9 and then take away 8. The answer is 235. What is my number?
  2. 2.I think of a number, multiply it by 9 and then add 34. The answer is 259. What is my number?
  3. 3.I think of a number, multiply it by 6 and then take away 10. The answer is 68. What is my number?
  4. 4.Solve for x: 8(x + 5) = 4x + 64. What is x?
  5. 5.I think of a number, multiply it by 2 and then take away 12. The answer is 46. What is my number?
  6. 6.Solve for x: 5(x + 6) = 2x + 75. What is x?
  7. 7.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹12 more than a pencil. 4 pens and 4 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  9. 9.Zoya has 28 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 6(x + 5) = 3x + 54. What is x?
  11. 11.A pen costs ₹2 more than a pencil. 5 pens and 5 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  13. 13.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  14. 14.Ananya has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹11 more than a pencil. 5 pens and 3 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 8 and then add 32. The answer is 104. What is my number?
  17. 17.Arjun has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  18. 18.9 × ? + 11 = 101
  19. 19.I think of a number, multiply it by 8 and then take away 33. The answer is 55. What is my number?
  20. 20.8 × ? − 8 = 8
  21. 21.Tara has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  22. 22.11 × ? + 12 = 111
  23. 23.I think of a number, multiply it by 7 and then add 16. The answer is 51. What is my number?
  24. 24.Diya has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  25. 25.Dev has 20 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  27. 27.8 × ? + 16 = 32
  28. 28.A pen costs ₹2 more than a pencil. 6 pens and 3 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹13 more than a pencil. 6 pens and 8 pencils cost ₹330 in all. What does one pencil cost (in ₹)?
  30. 30.Solve for x: 3(x + 9) = x + 33. What is x?
  31. 31.12 × ? + 12 = 252
  32. 32.I think of a number, multiply it by 3 and then add 37. The answer is 124. What is my number?
  33. 33.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  34. 34.10 × ? + 18 = 168
  35. 35.I think of a number, multiply it by 8 and then take away 6. The answer is 98. What is my number?
  36. 36.I think of a number, multiply it by 7 and then take away 30. The answer is 61. What is my number?
  37. 37.The length of a rectangle is 2 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  38. 38.Arjun has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  39. 39.Rahul has 16 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹7 more than a pencil. 3 pens and 4 pencils cost ₹56 in all. What does one pencil cost (in ₹)?

Answer key

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

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