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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 806 · 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.I think of a number, multiply it by 7 and then take away 39. The answer is 3. What is my number?
  2. 2.5 × ? − 15 = 85
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  4. 4.Solve for x: 3(x + 5) = x + 45. What is x?
  5. 5.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 6 and then add 12. The answer is 144. What is my number?
  7. 7.I think of a number, multiply it by 5 and then add 23. The answer is 128. What is my number?
  8. 8.I think of a number, multiply it by 4 and then add 17. The answer is 29. What is my number?
  9. 9.Vivaan has 21 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  10. 10.12 × ? − 21 = 75
  11. 11.The length of a rectangle is 11 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 3 and then add 33. The answer is 117. What is my number?
  13. 13.Dev has 17 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 3(x + 3) = x + 47. What is x?
  15. 15.10 × ? − 25 = 185
  16. 16.I think of a number, multiply it by 5 and then add 12. The answer is 97. What is my number?
  17. 17.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 2 and then take away 12. The answer is 34. What is my number?
  21. 21.Sneha has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  22. 22.Manav has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹6 more than a pencil. 6 pens and 3 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
  25. 25.Meera has 15 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  26. 26.5 × ? − 11 = 99
  27. 27.Solve for x: 5(x + 9) = x + 53. What is x?
  28. 28.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 7 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  30. 30.A pen costs ₹7 more than a pencil. 3 pens and 4 pencils cost ₹91 in all. What does one pencil cost (in ₹)?
  31. 31.4 × ? + 4 = 88
  32. 32.Saanvi has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  34. 34.Solve for x: 3(x + 7) = x + 47. What is x?
  35. 35.A pen costs ₹7 more than a pencil. 6 pens and 5 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 9 and then take away 33. The answer is 12. What is my number?
  37. 37.Tara has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  38. 38.4 × ? − 24 = 40
  39. 39.I think of a number, multiply it by 9 and then take away 21. The answer is 114. What is my number?
  40. 40.Solve for x: 6(x + 2) = 5x + 27. What is x?

Answer key

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

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