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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 833 · 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 2 and then add 1. The answer is 15. What is my number?
  2. 2.3 × ? + 21 = 36
  3. 3.Sneha has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 13 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 2 and then add 19. The answer is 31. What is my number?
  6. 6.Solve for x: 7(x + 8) = 3x + 68. What is x?
  7. 7.Isha has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 6 and then take away 9. The answer is 45. What is my number?
  9. 9.Saanvi has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹12 more than a pencil. 4 pens and 7 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  11. 11.9 × ? − 6 = 219
  12. 12.4 × ? + 13 = 21
  13. 13.Kavya has 26 coins, all ₹5 and ₹2 coins, worth ₹127 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 8 and then take away 12. The answer is 12. What is my number?
  15. 15.The length of a rectangle is 13 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  16. 16.Rahul has 25 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 5 and then add 8. The answer is 23. What is my number?
  18. 18.4 × ? + 15 = 23
  19. 19.Solve for x: 6(x + 1) = 5x + 21. What is x?
  20. 20.The length of a rectangle is 7 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 8 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  22. 22.Dev has 19 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 4(x + 8) = x + 92. What is x?
  24. 24.I think of a number, multiply it by 9 and then add 4. The answer is 211. What is my number?
  25. 25.The length of a rectangle is 6 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  26. 26.A pen costs ₹2 more than a pencil. 4 pens and 3 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  27. 27.Kabir has 26 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  28. 28.11 × ? − 13 = 229
  29. 29.12 × ? + 5 = 293
  30. 30.Solve for x: 7(x + 1) = 5x + 35. What is x?
  31. 31.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 2 and then add 15. The answer is 53. What is my number?
  33. 33.Priya has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 15 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  35. 35.A pen costs ₹8 more than a pencil. 3 pens and 3 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 6(x + 6) = 2x + 40. What is x?
  37. 37.I think of a number, multiply it by 9 and then add 32. The answer is 275. What is my number?
  38. 38.Solve for x: 6(x + 5) = x + 105. What is x?
  39. 39.A pen costs ₹12 more than a pencil. 3 pens and 5 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹281 in all. What does one pencil cost (in ₹)?

Answer key

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

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