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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 653 · 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 56 m. What is its breadth (in m)?
  2. 2.Tara has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  3. 3.6 × ? − 30 = 66
  4. 4.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 5 and then add 4. The answer is 104. What is my number?
  6. 6.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 8 and then take away 1. The answer is 63. What is my number?
  8. 8.Solve for x: 9(x + 1) = 6x + 57. What is x?
  9. 9.The length of a rectangle is 3 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  10. 10.Solve for x: 8(x + 6) = 5x + 81. What is x?
  11. 11.I think of a number, multiply it by 6 and then add 24. The answer is 48. What is my number?
  12. 12.Solve for x: 5(x + 7) = x + 51. What is x?
  13. 13.I think of a number, multiply it by 6 and then add 40. The answer is 190. What is my number?
  14. 14.Farhan has 23 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  15. 15.6 × ? + 13 = 25
  16. 16.I think of a number, multiply it by 4 and then add 33. The answer is 121. What is my number?
  17. 17.Solve for x: 8(x + 4) = x + 39. What is x?
  18. 18.Solve for x: 3(x + 8) = 2x + 32. What is x?
  19. 19.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  20. 20.11 × ? − 19 = 14
  21. 21.The length of a rectangle is 7 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  22. 22.3 × ? + 28 = 43
  23. 23.12 × ? + 29 = 125
  24. 24.Priya has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 11 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  26. 26.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹10 more than a pencil. 6 pens and 8 pencils cost ₹340 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 5 and then take away 4. The answer is 16. What is my number?
  29. 29.Solve for x: 4(x + 3) = x + 30. What is x?
  30. 30.Isha has 26 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  31. 31.2 × ? + 8 = 18
  32. 32.The length of a rectangle is 12 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  33. 33.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  34. 34.2 × ? − 28 = 16
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  36. 36.7 × ? + 8 = 57
  37. 37.The length of a rectangle is 14 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 5 and then take away 1. The answer is 89. What is my number?
  39. 39.5 × ? − 26 = 94
  40. 40.I think of a number, multiply it by 3 and then add 1. The answer is 79. What is my number?

Answer key

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

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