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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 174 · 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.Solve for x: 6(x + 3) = x + 28. What is x?
  2. 2.A pen costs ₹15 more than a pencil. 6 pens and 7 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 11 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  5. 5.12 × ? − 29 = 91
  6. 6.I think of a number, multiply it by 4 and then add 26. The answer is 122. What is my number?
  7. 7.I think of a number, multiply it by 9 and then take away 20. The answer is 88. What is my number?
  8. 8.8 × ? + 5 = 173
  9. 9.A pen costs ₹5 more than a pencil. 5 pens and 4 pencils cost ₹205 in all. What does one pencil cost (in ₹)?
  10. 10.Karan has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  11. 11.6 × ? − 17 = 67
  12. 12.The length of a rectangle is 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  13. 13.11 × ? − 7 = 114
  14. 14.A pen costs ₹14 more than a pencil. 6 pens and 5 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 12 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  17. 17.Solve for x: 4(x + 8) = x + 65. What is x?
  18. 18.The length of a rectangle is 15 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  19. 19.2 × ? + 21 = 35
  20. 20.2 × ? − 8 = 32
  21. 21.Ishaan has 23 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 3 and then take away 40. The answer is 32. What is my number?
  23. 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  24. 24.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 5 and then add 17. The answer is 87. What is my number?
  26. 26.Solve for x: 8(x + 8) = 7x + 65. What is x?
  27. 27.Dev has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 7 and then add 12. The answer is 201. What is my number?
  30. 30.The length of a rectangle is 8 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 8 and then take away 29. The answer is 115. What is my number?
  32. 32.8 × ? − 12 = 156
  33. 33.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  34. 34.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  35. 35.6 × ? − 23 = 109
  36. 36.Solve for x: 6(x + 8) = 2x + 80. What is x?
  37. 37.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 9 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 6 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 7 and then take away 39. The answer is 171. What is my number?

Answer key

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

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