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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 288 · 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 + 6) = 4x + 44. What is x?
  2. 2.The length of a rectangle is 9 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  3. 3.A pen costs ₹7 more than a pencil. 5 pens and 4 pencils cost ₹161 in all. What does one pencil cost (in ₹)?
  4. 4.8 × ? + 2 = 66
  5. 5.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  6. 6.11 × ? − 9 = 255
  7. 7.A pen costs ₹9 more than a pencil. 3 pens and 8 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹2 more than a pencil. 6 pens and 4 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  9. 9.Vivaan has 24 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 9 and then take away 29. The answer is 106. What is my number?
  11. 11.11 × ? − 28 = 49
  12. 12.I think of a number, multiply it by 8 and then take away 11. The answer is 197. What is my number?
  13. 13.The length of a rectangle is 9 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  14. 14.A pen costs ₹5 more than a pencil. 3 pens and 2 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  16. 16.Isha has 27 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  17. 17.Dev has 26 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹14 more than a pencil. 3 pens and 4 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  21. 21.11 × ? − 21 = 144
  22. 22.I think of a number, multiply it by 3 and then add 23. The answer is 29. What is my number?
  23. 23.Solve for x: 9(x + 5) = 8x + 54. What is x?
  24. 24.The length of a rectangle is 5 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 7 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  26. 26.Arjun has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 6(x + 2) = x + 72. What is x?
  28. 28.Sneha has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 7 and then take away 2. The answer is 96. What is my number?
  31. 31.Sneha has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  33. 33.Solve for x: 8(x + 5) = 7x + 53. What is x?
  34. 34.A pen costs ₹3 more than a pencil. 5 pens and 3 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹12 more than a pencil. 3 pens and 4 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 9 and then take away 6. The answer is 228. What is my number?
  37. 37.Solve for x: 6(x + 6) = 3x + 93. What is x?
  38. 38.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  39. 39.Priya has 21 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 2 and then add 17. The answer is 29. What is my number?

Answer key

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

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