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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 410 · 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 11 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 11 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  3. 3.Solve for x: 4(x + 2) = 3x + 13. What is x?
  4. 4.Diya has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  5. 5.2 × ? − 3 = 13
  6. 6.I think of a number, multiply it by 5 and then add 3. The answer is 108. What is my number?
  7. 7.I think of a number, multiply it by 2 and then add 21. The answer is 57. What is my number?
  8. 8.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 5(x + 4) = 4x + 34. What is x?
  11. 11.Priya has 20 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 7 and then add 6. The answer is 209. What is my number?
  13. 13.Solve for x: 7(x + 2) = 6x + 18. What is x?
  14. 14.I think of a number, multiply it by 2 and then take away 6. The answer is 4. What is my number?
  15. 15.5 × ? − 15 = 100
  16. 16.I think of a number, multiply it by 5 and then add 6. The answer is 26. What is my number?
  17. 17.Pooja has 28 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 5 and then take away 5. The answer is 20. What is my number?
  19. 19.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 8 and then add 15. The answer is 223. What is my number?
  21. 21.Dev has 28 coins, all ₹5 and ₹2 coins, worth ₹116 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 3 and then take away 8. The answer is 64. What is my number?
  23. 23.Manav has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  24. 24.Solve for x: 6(x + 2) = 4x + 22. What is x?
  25. 25.I think of a number, multiply it by 9 and then take away 26. The answer is 55. What is my number?
  26. 26.Solve for x: 3(x + 9) = x + 65. What is x?
  27. 27.Solve for x: 9(x + 3) = 2x + 125. What is x?
  28. 28.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  29. 29.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  30. 30.Arjun has 18 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  31. 31.9 × ? + 2 = 191
  32. 32.5 × ? − 12 = 83
  33. 33.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 4(x + 1) = 3x + 7. What is x?
  35. 35.I think of a number, multiply it by 9 and then add 28. The answer is 118. What is my number?
  36. 36.9 × ? − 15 = 165
  37. 37.10 × ? − 8 = 222
  38. 38.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 7 and then add 7. The answer is 175. What is my number?

Answer key

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

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