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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 101 · 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. 1.9 × ? − 10 = 35
  2. 2.Solve for x: 5(x + 1) = 4x + 25. What is x?
  3. 3.2 × ? + 30 = 64
  4. 4.3 × ? − 6 = 24
  5. 5.Diya has 25 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  6. 6.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 13 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 8 and then add 21. The answer is 261. What is my number?
  10. 10.A pen costs ₹15 more than a pencil. 4 pens and 7 pencils cost ₹269 in all. What does one pencil cost (in ₹)?
  11. 11.5 × ? − 24 = 96
  12. 12.I think of a number, multiply it by 6 and then add 11. The answer is 59. What is my number?
  13. 13.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 6 and then add 40. The answer is 160. What is my number?
  16. 16.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 8(x + 8) = 2x + 130. What is x?
  18. 18.I think of a number, multiply it by 9 and then take away 7. The answer is 146. What is my number?
  19. 19.I think of a number, multiply it by 6 and then add 22. The answer is 136. What is my number?
  20. 20.5 × ? + 22 = 42
  21. 21.The length of a rectangle is 7 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 7 and then take away 33. The answer is 135. What is my number?
  23. 23.4 × ? − 2 = 94
  24. 24.Pooja has 19 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹4 more than a pencil. 6 pens and 5 pencils cost ₹211 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 6 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  27. 27.A pen costs ₹7 more than a pencil. 3 pens and 2 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 7 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 6 and then add 4. The answer is 166. What is my number?
  30. 30.I think of a number, multiply it by 9 and then take away 25. The answer is 56. What is my number?
  31. 31.The length of a rectangle is 10 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  32. 32.A pen costs ₹12 more than a pencil. 4 pens and 4 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  33. 33.6 × ? − 9 = 27
  34. 34.The length of a rectangle is 12 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  35. 35.Dev has 19 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  36. 36.Solve for x: 3(x + 2) = 2x + 19. What is x?
  37. 37.12 × ? − 17 = 151
  38. 38.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 5 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?

Answer key

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

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