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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 126 · 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.The length of a rectangle is 11 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 13 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  3. 3.10 × ? + 10 = 240
  4. 4.Arjun has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  5. 5.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  6. 6.11 × ? − 7 = 103
  7. 7.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹11 more than a pencil. 2 pens and 6 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  9. 9.Kavya has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  10. 10.Sneha has 28 coins, all ₹5 and ₹2 coins, worth ₹137 in all. How many ₹5 coins are there?
  11. 11.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  12. 12.A pen costs ₹12 more than a pencil. 4 pens and 5 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  13. 13.8 × ? + 16 = 56
  14. 14.Kavya has 16 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  15. 15.Rahul has 22 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 8 and then take away 13. The answer is 99. What is my number?
  17. 17.Priya has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 8(x + 3) = 7x + 39. What is x?
  19. 19.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 8 and then take away 8. The answer is 48. What is my number?
  21. 21.Ananya has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹14 more than a pencil. 5 pens and 4 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 8 and then add 24. The answer is 200. What is my number?
  24. 24.A pen costs ₹13 more than a pencil. 4 pens and 6 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 3 and then add 2. The answer is 35. What is my number?
  26. 26.Solve for x: 3(x + 9) = 2x + 31. What is x?
  27. 27.A pen costs ₹2 more than a pencil. 6 pens and 6 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 7 and then take away 38. The answer is 25. What is my number?
  29. 29.A pen costs ₹6 more than a pencil. 5 pens and 5 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 4 and then add 2. The answer is 58. What is my number?
  31. 31.4 × ? + 23 = 43
  32. 32.I think of a number, multiply it by 4 and then add 3. The answer is 19. What is my number?
  33. 33.Solve for x: 9(x + 8) = 2x + 142. What is x?
  34. 34.4 × ? − 12 = 88
  35. 35.5 × ? − 13 = 67
  36. 36.I think of a number, multiply it by 7 and then take away 16. The answer is 19. What is my number?
  37. 37.Kabir has 25 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 3 and then add 31. The answer is 73. What is my number?
  39. 39.I think of a number, multiply it by 3 and then take away 20. The answer is 70. What is my number?
  40. 40.A pen costs ₹10 more than a pencil. 2 pens and 7 pencils cost ₹110 in all. What does one pencil cost (in ₹)?

Answer key

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

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