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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 318 · 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. 1.7 × ? + 17 = 59
  2. 2.I think of a number, multiply it by 2 and then take away 21. The answer is 11. What is my number?
  3. 3.I think of a number, multiply it by 2 and then add 30. The answer is 54. What is my number?
  4. 4.Manav has 23 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  5. 5.The length of a rectangle is 13 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 10 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 9 and then take away 18. The answer is 45. What is my number?
  8. 8.Zoya has 23 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 3 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  10. 10.6 × ? + 8 = 104
  11. 11.The length of a rectangle is 13 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  12. 12.Solve for x: 9(x + 6) = x + 118. What is x?
  13. 13.Solve for x: 6(x + 5) = 4x + 70. What is x?
  14. 14.8 × ? + 5 = 29
  15. 15.Solve for x: 3(x + 1) = 2x + 18. What is x?
  16. 16.I think of a number, multiply it by 9 and then add 27. The answer is 252. What is my number?
  17. 17.7 × ? + 23 = 149
  18. 18.A pen costs ₹4 more than a pencil. 5 pens and 4 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 7(x + 2) = 3x + 62. What is x?
  20. 20.Vivaan has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  21. 21.Arjun has 27 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹15 more than a pencil. 4 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  23. 23.7 × ? + 21 = 49
  24. 24.Vivaan has 20 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 7(x + 2) = 4x + 53. What is x?
  26. 26.I think of a number, multiply it by 4 and then take away 16. The answer is 16. What is my number?
  27. 27.Kabir has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 7 and then add 34. The answer is 118. What is my number?
  29. 29.Solve for x: 9(x + 1) = 7x + 11. What is x?
  30. 30.Pooja has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  32. 32.5 × ? + 9 = 114
  33. 33.Solve for x: 3(x + 5) = 2x + 32. What is x?
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  35. 35.Isha has 23 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹173 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  38. 38.Solve for x: 4(x + 7) = 3x + 38. What is x?
  39. 39.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 8 and then take away 36. The answer is 108. What is my number?

Answer key

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

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