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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 431 · 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: 6(x + 3) = 5x + 22. What is x?
  2. 2.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 10 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 3 and then take away 22. The answer is 20. What is my number?
  5. 5.Meera has 30 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  6. 6.Meera has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  8. 8.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 3 and then add 29. The answer is 68. What is my number?
  10. 10.Priya has 15 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  11. 11.8 × ? − 3 = 149
  12. 12.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  13. 13.Solve for x: 6(x + 6) = x + 136. What is x?
  14. 14.The length of a rectangle is 3 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  16. 16.Rohan has 23 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  18. 18.Isha has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  19. 19.7 × ? + 3 = 24
  20. 20.Solve for x: 9(x + 1) = x + 49. What is x?
  21. 21.Solve for x: 8(x + 2) = 4x + 96. What is x?
  22. 22.6 × ? + 23 = 161
  23. 23.12 × ? − 23 = 229
  24. 24.I think of a number, multiply it by 3 and then take away 2. The answer is 7. What is my number?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  27. 27.A pen costs ₹15 more than a pencil. 5 pens and 7 pencils cost ₹243 in all. What does one pencil cost (in ₹)?
  28. 28.Priya has 29 coins, all ₹5 and ₹2 coins, worth ₹139 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹10 more than a pencil. 2 pens and 4 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹9 more than a pencil. 2 pens and 8 pencils cost ₹178 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 8 and then take away 9. The answer is 63. What is my number?
  32. 32.3 × ? + 17 = 23
  33. 33.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 7 and then add 40. The answer is 180. What is my number?
  35. 35.Solve for x: 7(x + 6) = x + 72. What is x?
  36. 36.5 × ? + 13 = 33
  37. 37.I think of a number, multiply it by 3 and then add 25. The answer is 64. What is my number?
  38. 38.Tara has 26 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 9(x + 9) = 5x + 161. What is x?
  40. 40.Rahul has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?

Answer key

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

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