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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 836 · 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.Nisha has 16 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  2. 2.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  3. 3.9 × ? − 5 = 58
  4. 4.I think of a number, multiply it by 3 and then take away 32. The answer is 22. What is my number?
  5. 5.I think of a number, multiply it by 6 and then take away 25. The answer is 143. What is my number?
  6. 6.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  8. 8.Solve for x: 6(x + 1) = 3x + 60. What is x?
  9. 9.Saanvi has 22 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹6 more than a pencil. 4 pens and 6 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  11. 11.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 4(x + 7) = x + 46. What is x?
  13. 13.Solve for x: 5(x + 4) = 2x + 41. What is x?
  14. 14.8 × ? − 29 = 131
  15. 15.The length of a rectangle is 14 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  16. 16.Solve for x: 8(x + 1) = 3x + 23. What is x?
  17. 17.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 11 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 10 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  20. 20.4 × ? − 16 = 48
  21. 21.The length of a rectangle is 4 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 9 and then take away 14. The answer is 139. What is my number?
  23. 23.6 × ? − 2 = 142
  24. 24.Solve for x: 8(x + 2) = 2x + 28. What is x?
  25. 25.Solve for x: 9(x + 3) = 3x + 33. What is x?
  26. 26.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 7 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  28. 28.Solve for x: 4(x + 2) = 2x + 32. What is x?
  29. 29.Dev has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 8(x + 2) = 2x + 76. What is x?
  31. 31.I think of a number, multiply it by 2 and then add 26. The answer is 32. What is my number?
  32. 32.I think of a number, multiply it by 7 and then take away 19. The answer is 142. What is my number?
  33. 33.Tara has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  34. 34.7 × ? + 29 = 169
  35. 35.A pen costs ₹9 more than a pencil. 2 pens and 7 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  37. 37.10 × ? − 15 = 125
  38. 38.4 × ? + 6 = 58
  39. 39.Solve for x: 6(x + 1) = x + 26. What is x?
  40. 40.Solve for x: 4(x + 1) = 3x + 18. What is x?

Answer key

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

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