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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 637 · 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 4 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  2. 2.Solve for x: 4(x + 2) = x + 62. What is x?
  3. 3.The length of a rectangle is 7 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  4. 4.Nisha has 29 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹10 more than a pencil. 4 pens and 7 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  6. 6.7 × ? + 6 = 139
  7. 7.Manav has 20 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 3 and then add 21. The answer is 33. What is my number?
  9. 9.Solve for x: 5(x + 1) = x + 9. What is x?
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  11. 11.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  13. 13.Solve for x: 5(x + 7) = x + 115. What is x?
  14. 14.The length of a rectangle is 3 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  16. 16.A pen costs ₹11 more than a pencil. 3 pens and 2 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  17. 17.12 × ? + 30 = 246
  18. 18.Solve for x: 6(x + 7) = x + 102. What is x?
  19. 19.4 × ? − 1 = 67
  20. 20.I think of a number, multiply it by 8 and then take away 24. The answer is 192. What is my number?
  21. 21.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 7 and then add 1. The answer is 141. What is my number?
  23. 23.7 × ? + 19 = 117
  24. 24.A pen costs ₹8 more than a pencil. 3 pens and 6 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 9 and then add 10. The answer is 172. What is my number?
  26. 26.2 × ? + 20 = 70
  27. 27.I think of a number, multiply it by 9 and then add 8. The answer is 143. What is my number?
  28. 28.I think of a number, multiply it by 3 and then take away 13. The answer is 68. What is my number?
  29. 29.The length of a rectangle is 2 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  30. 30.6 × ? + 28 = 124
  31. 31.The length of a rectangle is 14 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  32. 32.A pen costs ₹2 more than a pencil. 3 pens and 6 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹10 more than a pencil. 3 pens and 8 pencils cost ₹239 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 9 and then add 35. The answer is 233. What is my number?
  35. 35.Dev has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 6 and then take away 29. The answer is 91. What is my number?
  37. 37.Solve for x: 7(x + 8) = 5x + 84. What is x?
  38. 38.A pen costs ₹8 more than a pencil. 2 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 4(x + 3) = x + 36. What is x?
  40. 40.Sneha has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?

Answer key

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

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