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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 900 · 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. 1.5 × ? − 20 = 40
  2. 2.Solve for x: 5(x + 2) = 2x + 67. What is x?
  3. 3.I think of a number, multiply it by 8 and then take away 18. The answer is 110. What is my number?
  4. 4.I think of a number, multiply it by 6 and then add 33. The answer is 189. What is my number?
  5. 5.I think of a number, multiply it by 6 and then take away 7. The answer is 41. What is my number?
  6. 6.8 × ? − 8 = 16
  7. 7.I think of a number, multiply it by 4 and then add 39. The answer is 91. What is my number?
  8. 8.The length of a rectangle is 7 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  10. 10.A pen costs ₹4 more than a pencil. 3 pens and 7 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  12. 12.Solve for x: 3(x + 3) = x + 17. What is x?
  13. 13.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  14. 14.5 × ? − 10 = 5
  15. 15.I think of a number, multiply it by 6 and then add 37. The answer is 55. What is my number?
  16. 16.The length of a rectangle is 10 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 9 and then add 23. The answer is 239. What is my number?
  18. 18.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 9(x + 6) = 8x + 74. What is x?
  21. 21.Solve for x: 8(x + 8) = 2x + 166. What is x?
  22. 22.10 × ? − 14 = 76
  23. 23.A pen costs ₹12 more than a pencil. 5 pens and 4 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 3(x + 4) = x + 24. What is x?
  25. 25.Rahul has 16 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 6 and then take away 39. The answer is 129. What is my number?
  27. 27.11 × ? + 22 = 209
  28. 28.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹167 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹7 more than a pencil. 4 pens and 5 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 5 and then take away 35. The answer is 20. What is my number?
  31. 31.Karan has 24 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  32. 32.7 × ? + 6 = 153
  33. 33.Nisha has 18 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 3 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  35. 35.10 × ? + 22 = 42
  36. 36.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 5 and then take away 22. The answer is 8. What is my number?
  39. 39.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  40. 40.12 × ? − 7 = 221

Answer key

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

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