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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 626 · 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 × ? + 6 = 168
  2. 2.The length of a rectangle is 14 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  3. 3.Solve for x: 6(x + 2) = 3x + 48. What is x?
  4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 7 and then take away 1. The answer is 13. What is my number?
  6. 6.3 × ? + 12 = 54
  7. 7.A pen costs ₹8 more than a pencil. 2 pens and 8 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  8. 8.Dev has 20 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  9. 9.10 × ? + 15 = 165
  10. 10.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  12. 12.Kabir has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  13. 13.Farhan has 29 coins, all ₹5 and ₹2 coins, worth ₹118 in all. How many ₹5 coins are there?
  14. 14.12 × ? − 1 = 95
  15. 15.A pen costs ₹5 more than a pencil. 6 pens and 2 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 7 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 3 and then take away 8. The answer is 13. What is my number?
  18. 18.The length of a rectangle is 9 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 5 and then take away 10. The answer is 75. What is my number?
  20. 20.9 × ? − 30 = 42
  21. 21.I think of a number, multiply it by 6 and then take away 9. The answer is 159. What is my number?
  22. 22.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 6 and then add 34. The answer is 112. What is my number?
  24. 24.Solve for x: 7(x + 3) = 2x + 46. What is x?
  25. 25.Solve for x: 7(x + 7) = 6x + 68. What is x?
  26. 26.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 9 and then add 8. The answer is 44. What is my number?
  28. 28.9 × ? − 17 = 127
  29. 29.12 × ? − 6 = 66
  30. 30.Solve for x: 3(x + 4) = x + 52. What is x?
  31. 31.Solve for x: 3(x + 2) = 2x + 13. What is x?
  32. 32.A pen costs ₹7 more than a pencil. 5 pens and 2 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  34. 34.8 × ? + 28 = 92
  35. 35.Farhan has 23 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 4 and then add 7. The answer is 27. What is my number?
  37. 37.I think of a number, multiply it by 9 and then add 22. The answer is 229. What is my number?
  38. 38.I think of a number, multiply it by 6 and then take away 2. The answer is 76. What is my number?
  39. 39.The length of a rectangle is 11 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  40. 40.Solve for x: 6(x + 8) = x + 98. What is x?

Answer key

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

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