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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 274 · 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. 1.8 × ? + 25 = 81
  2. 2.The length of a rectangle is 14 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 5 and then add 8. The answer is 53. What is my number?
  4. 4.I think of a number, multiply it by 9 and then add 29. The answer is 101. What is my number?
  5. 5.9 × ? + 26 = 116
  6. 6.Solve for x: 5(x + 4) = 2x + 65. What is x?
  7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 150 m. What is its breadth (in m)?
  8. 8.A pen costs ₹9 more than a pencil. 2 pens and 3 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹6 more than a pencil. 6 pens and 6 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 14 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  12. 12.A pen costs ₹6 more than a pencil. 5 pens and 5 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 9 and then take away 6. The answer is 183. What is my number?
  14. 14.Solve for x: 3(x + 5) = x + 51. What is x?
  15. 15.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  16. 16.Aditya has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  18. 18.Solve for x: 5(x + 6) = 4x + 50. What is x?
  19. 19.8 × ? + 20 = 36
  20. 20.Solve for x: 4(x + 4) = 3x + 18. What is x?
  21. 21.7 × ? − 8 = 6
  22. 22.Isha has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  24. 24.10 × ? + 12 = 222
  25. 25.A pen costs ₹9 more than a pencil. 4 pens and 2 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  26. 26.4 × ? + 18 = 62
  27. 27.6 × ? − 30 = 12
  28. 28.Solve for x: 6(x + 8) = x + 88. What is x?
  29. 29.I think of a number, multiply it by 9 and then add 20. The answer is 191. What is my number?
  30. 30.A pen costs ₹7 more than a pencil. 3 pens and 2 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 7 and then add 8. The answer is 176. What is my number?
  32. 32.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹10 more than a pencil. 2 pens and 5 pencils cost ₹139 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 2 and then add 4. The answer is 58. What is my number?
  36. 36.A pen costs ₹7 more than a pencil. 2 pens and 2 pencils cost ₹26 in all. What does one pencil cost (in ₹)?
  37. 37.Ananya has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 4(x + 4) = x + 58. What is x?
  39. 39.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 12 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?

Answer key

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

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