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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 628 · 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 104 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 15 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 8 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  4. 4.Solve for x: 6(x + 7) = 5x + 58. What is x?
  5. 5.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 3 and then add 39. The answer is 57. What is my number?
  7. 7.I think of a number, multiply it by 9 and then take away 29. The answer is 115. What is my number?
  8. 8.A pen costs ₹4 more than a pencil. 2 pens and 7 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  9. 9.6 × ? + 2 = 92
  10. 10.I think of a number, multiply it by 3 and then take away 5. The answer is 43. What is my number?
  11. 11.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 4 and then take away 3. The answer is 101. What is my number?
  13. 13.I think of a number, multiply it by 7 and then add 26. The answer is 68. What is my number?
  14. 14.9 × ? + 3 = 102
  15. 15.A pen costs ₹2 more than a pencil. 6 pens and 4 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
  16. 16.Diya has 21 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 10 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  18. 18.Diya has 25 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  19. 19.Kabir has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 5(x + 2) = x + 58. What is x?
  21. 21.Saanvi has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 7(x + 1) = 6x + 9. What is x?
  23. 23.The length of a rectangle is 4 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  24. 24.Solve for x: 5(x + 9) = 3x + 53. What is x?
  25. 25.Solve for x: 9(x + 2) = 5x + 58. What is x?
  26. 26.I think of a number, multiply it by 7 and then take away 32. The answer is 171. What is my number?
  27. 27.I think of a number, multiply it by 6 and then take away 23. The answer is 157. What is my number?
  28. 28.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹260 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 6 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  30. 30.Solve for x: 3(x + 4) = x + 36. What is x?
  31. 31.3 × ? + 26 = 65
  32. 32.Solve for x: 9(x + 3) = 2x + 125. What is x?
  33. 33.4 × ? − 13 = 19
  34. 34.11 × ? + 24 = 156
  35. 35.A pen costs ₹6 more than a pencil. 6 pens and 2 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  37. 37.Nisha has 24 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 4(x + 9) = 3x + 42. What is x?
  39. 39.Solve for x: 4(x + 6) = x + 45. What is x?
  40. 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?

Answer key

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

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