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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 281 · 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: 8(x + 3) = 7x + 31. What is x?
  2. 2.Solve for x: 6(x + 3) = x + 78. What is x?
  3. 3.Sneha has 22 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 9(x + 5) = x + 205. What is x?
  5. 5.Pooja has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  6. 6.Aarav has 23 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 9 and then take away 28. The answer is 197. What is my number?
  8. 8.Rohan has 16 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  9. 9.2 × ? + 5 = 23
  10. 10.12 × ? − 4 = 68
  11. 11.Solve for x: 3(x + 7) = x + 25. What is x?
  12. 12.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  13. 13.Aarav has 23 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  15. 15.8 × ? + 5 = 165
  16. 16.Solve for x: 4(x + 4) = 3x + 20. What is x?
  17. 17.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  18. 18.A pen costs ₹8 more than a pencil. 4 pens and 7 pencils cost ₹219 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹9 more than a pencil. 2 pens and 3 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 9(x + 4) = 6x + 42. What is x?
  21. 21.A pen costs ₹3 more than a pencil. 4 pens and 8 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
  22. 22.Meera has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 3(x + 3) = x + 41. What is x?
  24. 24.Rahul has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  25. 25.Arjun has 27 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 4 and then take away 40. The answer is 48. What is my number?
  28. 28.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  29. 29.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹269 in all. What does one pencil cost (in ₹)?
  30. 30.Aditya has 18 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  31. 31.3 × ? + 20 = 26
  32. 32.Diya has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  33. 33.4 × ? + 13 = 57
  34. 34.The length of a rectangle is 2 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  35. 35.A pen costs ₹14 more than a pencil. 5 pens and 2 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 7 and then take away 23. The answer is 138. What is my number?
  37. 37.A pen costs ₹15 more than a pencil. 6 pens and 5 pencils cost ₹310 in all. What does one pencil cost (in ₹)?
  38. 38.7 × ? − 16 = 145
  39. 39.Solve for x: 9(x + 6) = 3x + 144. What is x?
  40. 40.3 × ? − 10 = 17

Answer key

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

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