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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 220 · 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 8 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 12 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  3. 3.Solve for x: 5(x + 2) = 2x + 58. What is x?
  4. 4.I think of a number, multiply it by 2 and then take away 17. The answer is 41. What is my number?
  5. 5.I think of a number, multiply it by 8 and then take away 28. The answer is 52. What is my number?
  6. 6.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  7. 7.Solve for x: 9(x + 6) = 2x + 180. What is x?
  8. 8.Tara has 29 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 7 and then add 28. The answer is 70. What is my number?
  10. 10.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹29 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 4 and then add 5. The answer is 97. What is my number?
  12. 12.Pooja has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 7(x + 2) = x + 26. What is x?
  14. 14.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 8 and then take away 2. The answer is 174. What is my number?
  16. 16.The length of a rectangle is 7 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 7 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  18. 18.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 8 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 11 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  22. 22.A pen costs ₹7 more than a pencil. 4 pens and 6 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹139 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 3 and then add 20. The answer is 77. What is my number?
  25. 25.Solve for x: 4(x + 3) = x + 18. What is x?
  26. 26.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 4 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  28. 28.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 8 and then take away 25. The answer is 15. What is my number?
  30. 30.A pen costs ₹10 more than a pencil. 3 pens and 3 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  31. 31.2 × ? + 16 = 32
  32. 32.Nisha has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 6(x + 4) = 2x + 72. What is x?
  34. 34.Saanvi has 15 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  35. 35.Solve for x: 4(x + 1) = 2x + 8. What is x?
  36. 36.I think of a number, multiply it by 7 and then take away 27. The answer is 106. What is my number?
  37. 37.Solve for x: 4(x + 3) = x + 36. What is x?
  38. 38.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 2 and then add 21. The answer is 35. What is my number?
  40. 40.The length of a rectangle is 13 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?

Answer key

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

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