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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 678 · 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 4 and then take away 32. The answer is 12. What is my number?
  2. 2.I think of a number, multiply it by 2 and then add 14. The answer is 42. What is my number?
  3. 3.Solve for x: 7(x + 1) = 5x + 43. What is x?
  4. 4.I think of a number, multiply it by 6 and then add 11. The answer is 125. What is my number?
  5. 5.Solve for x: 3(x + 5) = 2x + 31. What is x?
  6. 6.Ishaan has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 2 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  8. 8.Solve for x: 4(x + 8) = x + 50. What is x?
  9. 9.The length of a rectangle is 6 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 8 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  11. 11.A pen costs ₹7 more than a pencil. 3 pens and 3 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹5 more than a pencil. 2 pens and 8 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 5 and then add 12. The answer is 122. What is my number?
  14. 14.A pen costs ₹8 more than a pencil. 2 pens and 7 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 6 and then add 1. The answer is 121. What is my number?
  16. 16.11 × ? − 22 = 77
  17. 17.I think of a number, multiply it by 3 and then add 36. The answer is 63. What is my number?
  18. 18.Isha has 24 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  19. 19.Diya has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  20. 20.7 × ? − 10 = 88
  21. 21.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 6 and then take away 19. The answer is 125. What is my number?
  23. 23.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  24. 24.Solve for x: 4(x + 5) = x + 41. What is x?
  25. 25.10 × ? + 27 = 77
  26. 26.7 × ? + 8 = 169
  27. 27.Kabir has 30 coins, all ₹5 and ₹2 coins, worth ₹144 in all. How many ₹5 coins are there?
  28. 28.Solve for x: 3(x + 4) = x + 34. What is x?
  29. 29.I think of a number, multiply it by 4 and then add 2. The answer is 98. What is my number?
  30. 30.A pen costs ₹5 more than a pencil. 2 pens and 8 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 2 and then add 38. The answer is 88. What is my number?
  32. 32.Kavya has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 9 and then take away 5. The answer is 166. What is my number?
  34. 34.4 × ? + 5 = 81
  35. 35.A pen costs ₹7 more than a pencil. 5 pens and 2 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 8 and then take away 17. The answer is 31. What is my number?
  37. 37.4 × ? + 20 = 28
  38. 38.7 × ? + 25 = 109
  39. 39.Solve for x: 9(x + 5) = 6x + 96. What is x?
  40. 40.I think of a number, multiply it by 7 and then take away 4. The answer is 52. What is my number?

Answer key

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

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