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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 366 · 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 5 and then take away 31. The answer is 79. What is my number?
  2. 2.Zoya has 18 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  3. 3.Karan has 29 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 5 and then add 37. The answer is 127. What is my number?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  6. 6.7 × ? − 23 = 96
  7. 7.Solve for x: 9(x + 1) = 2x + 65. What is x?
  8. 8.A pen costs ₹2 more than a pencil. 6 pens and 6 pencils cost ₹252 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 6(x + 5) = 2x + 86. What is x?
  10. 10.The length of a rectangle is 8 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 9 and then take away 27. The answer is 189. What is my number?
  12. 12.Kavya has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹4 more than a pencil. 6 pens and 6 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹5 more than a pencil. 4 pens and 7 pencils cost ₹163 in all. What does one pencil cost (in ₹)?
  15. 15.8 × ? − 11 = 101
  16. 16.I think of a number, multiply it by 6 and then take away 1. The answer is 17. What is my number?
  17. 17.Sneha has 23 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 6 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 6 and then take away 39. The answer is 3. What is my number?
  20. 20.7 × ? + 5 = 124
  21. 21.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  22. 22.5 × ? + 30 = 45
  23. 23.The length of a rectangle is 7 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  24. 24.Solve for x: 3(x + 8) = x + 62. What is x?
  25. 25.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  27. 27.11 × ? + 16 = 115
  28. 28.I think of a number, multiply it by 9 and then add 25. The answer is 196. What is my number?
  29. 29.A pen costs ₹14 more than a pencil. 3 pens and 7 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  30. 30.Kavya has 27 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 4 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  33. 33.Solve for x: 5(x + 4) = x + 28. What is x?
  34. 34.5 × ? + 7 = 57
  35. 35.2 × ? + 14 = 18
  36. 36.The length of a rectangle is 15 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  37. 37.Solve for x: 4(x + 2) = 2x + 16. What is x?
  38. 38.I think of a number, multiply it by 7 and then add 40. The answer is 61. What is my number?
  39. 39.I think of a number, multiply it by 8 and then add 26. The answer is 138. What is my number?
  40. 40.A pen costs ₹14 more than a pencil. 6 pens and 7 pencils cost ₹279 in all. What does one pencil cost (in ₹)?

Answer key

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

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