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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 745 · 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. 1.9 × ? − 22 = 131
  2. 2.I think of a number, multiply it by 9 and then add 6. The answer is 132. What is my number?
  3. 3.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 2 and then take away 18. The answer is 28. What is my number?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  6. 6.A pen costs ₹2 more than a pencil. 4 pens and 7 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 4 and then add 26. The answer is 38. What is my number?
  8. 8.A pen costs ₹8 more than a pencil. 4 pens and 4 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 6 and then take away 3. The answer is 129. What is my number?
  10. 10.I think of a number, multiply it by 7 and then add 16. The answer is 65. What is my number?
  11. 11.Solve for x: 6(x + 8) = 4x + 70. What is x?
  12. 12.8 × ? − 8 = 56
  13. 13.The length of a rectangle is 6 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  14. 14.Meera has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 3 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  16. 16.10 × ? + 28 = 168
  17. 17.Solve for x: 6(x + 1) = 4x + 38. What is x?
  18. 18.I think of a number, multiply it by 7 and then add 26. The answer is 89. What is my number?
  19. 19.I think of a number, multiply it by 5 and then add 7. The answer is 152. What is my number?
  20. 20.Priya has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 12 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 3 and then add 37. The answer is 109. What is my number?
  23. 23.Dev has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹4 more than a pencil. 5 pens and 6 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  25. 25.Ananya has 29 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 5(x + 7) = 4x + 55. What is x?
  27. 27.A pen costs ₹15 more than a pencil. 5 pens and 4 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  28. 28.7 × ? − 10 = 25
  29. 29.I think of a number, multiply it by 8 and then take away 36. The answer is 52. What is my number?
  30. 30.8 × ? + 19 = 131
  31. 31.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 6 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  33. 33.5 × ? − 21 = 4
  34. 34.A pen costs ₹10 more than a pencil. 4 pens and 4 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹3 more than a pencil. 5 pens and 8 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 3 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 2 and then add 3. The answer is 11. What is my number?
  38. 38.5 × ? + 29 = 44
  39. 39.Ananya has 18 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  40. 40.Aarav has 15 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?

Answer key

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

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