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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 915 · 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: 4(x + 1) = 3x + 24. What is x?
  2. 2.I think of a number, multiply it by 5 and then add 26. The answer is 91. What is my number?
  3. 3.Pooja has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  4. 4.5 × ? + 10 = 40
  5. 5.A pen costs ₹10 more than a pencil. 4 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 13 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 4 and then take away 5. The answer is 99. What is my number?
  8. 8.4 × ? − 14 = 18
  9. 9.Ishaan has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  10. 10.Sneha has 29 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  11. 11.Farhan has 29 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  13. 13.12 × ? − 9 = 87
  14. 14.I think of a number, multiply it by 7 and then add 25. The answer is 39. What is my number?
  15. 15.Dev has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 5 and then add 16. The answer is 146. What is my number?
  17. 17.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 8 and then take away 29. The answer is 171. What is my number?
  19. 19.I think of a number, multiply it by 5 and then take away 38. The answer is 47. What is my number?
  20. 20.Diya has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  21. 21.Meera has 18 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 8(x + 3) = 2x + 144. What is x?
  24. 24.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 15 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 3 and then add 2. The answer is 68. What is my number?
  27. 27.I think of a number, multiply it by 6 and then add 6. The answer is 72. What is my number?
  28. 28.6 × ? − 27 = 15
  29. 29.2 × ? − 2 = 24
  30. 30.I think of a number, multiply it by 5 and then add 30. The answer is 40. What is my number?
  31. 31.I think of a number, multiply it by 4 and then take away 29. The answer is 15. What is my number?
  32. 32.Solve for x: 9(x + 7) = 5x + 123. What is x?
  33. 33.A pen costs ₹7 more than a pencil. 3 pens and 8 pencils cost ₹197 in all. What does one pencil cost (in ₹)?
  34. 34.Nisha has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹2 more than a pencil. 4 pens and 3 pencils cost ₹29 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 9(x + 7) = 7x + 87. What is x?
  37. 37.Saanvi has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  38. 38.Priya has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  39. 39.Pooja has 25 coins, all ₹5 and ₹2 coins, worth ₹122 in all. How many ₹5 coins are there?
  40. 40.12 × ? − 14 = 22

Answer key

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

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