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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 157 · 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.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 8 and then add 34. The answer is 90. What is my number?
  3. 3.3 × ? − 12 = 27
  4. 4.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  5. 5.Kavya has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  8. 8.Solve for x: 3(x + 3) = x + 29. What is x?
  9. 9.A pen costs ₹15 more than a pencil. 6 pens and 2 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  10. 10.Rohan has 24 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 2 and then add 12. The answer is 16. What is my number?
  12. 12.5 × ? + 2 = 102
  13. 13.The length of a rectangle is 8 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 8 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 10 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 9 and then add 21. The answer is 84. What is my number?
  17. 17.4 × ? + 5 = 97
  18. 18.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  19. 19.Solve for x: 4(x + 3) = x + 39. What is x?
  20. 20.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 7 and then add 39. The answer is 67. What is my number?
  22. 22.I think of a number, multiply it by 4 and then add 19. The answer is 35. What is my number?
  23. 23.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  24. 24.9 × ? − 18 = 9
  25. 25.Solve for x: 6(x + 6) = 4x + 72. What is x?
  26. 26.Dev has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 4(x + 1) = x + 22. What is x?
  28. 28.Solve for x: 4(x + 4) = 3x + 22. What is x?
  29. 29.A pen costs ₹4 more than a pencil. 4 pens and 3 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  30. 30.6 × ? + 12 = 66
  31. 31.Solve for x: 7(x + 7) = 6x + 52. What is x?
  32. 32.4 × ? + 27 = 71
  33. 33.I think of a number, multiply it by 6 and then take away 23. The answer is 145. What is my number?
  34. 34.4 × ? + 1 = 65
  35. 35.10 × ? + 26 = 226
  36. 36.Priya has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  37. 37.Rahul has 17 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  38. 38.12 × ? − 13 = 215
  39. 39.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  40. 40.Solve for x: 5(x + 5) = 2x + 31. What is x?

Answer key

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

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