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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 842 · 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 7 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 9 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 5 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  5. 5.10 × ? + 22 = 242
  6. 6.I think of a number, multiply it by 2 and then take away 4. The answer is 2. What is my number?
  7. 7.Solve for x: 9(x + 9) = 2x + 179. What is x?
  8. 8.The length of a rectangle is 6 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  10. 10.12 × ? + 1 = 109
  11. 11.Solve for x: 9(x + 7) = 4x + 68. What is x?
  12. 12.Solve for x: 3(x + 6) = 2x + 20. What is x?
  13. 13.12 × ? + 10 = 274
  14. 14.11 × ? − 22 = 121
  15. 15.The length of a rectangle is 11 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 4 and then take away 12. The answer is 80. What is my number?
  17. 17.Kavya has 21 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  18. 18.11 × ? − 20 = 189
  19. 19.The length of a rectangle is 5 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  20. 20.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 3 and then take away 18. The answer is 24. What is my number?
  22. 22.I think of a number, multiply it by 2 and then take away 25. The answer is 25. What is my number?
  23. 23.12 × ? + 27 = 315
  24. 24.Solve for x: 3(x + 8) = x + 62. What is x?
  25. 25.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 6 and then add 36. The answer is 120. What is my number?
  27. 27.Solve for x: 5(x + 9) = 4x + 54. What is x?
  28. 28.12 × ? − 4 = 32
  29. 29.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  30. 30.Ananya has 18 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  32. 32.3 × ? + 17 = 83
  33. 33.Vivaan has 28 coins, all ₹5 and ₹2 coins, worth ₹116 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 15 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  35. 35.Solve for x: 3(x + 6) = 2x + 30. What is x?
  36. 36.12 × ? + 12 = 84
  37. 37.Solve for x: 7(x + 5) = 3x + 103. What is x?
  38. 38.11 × ? + 9 = 141
  39. 39.A pen costs ₹7 more than a pencil. 2 pens and 8 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 10 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?

Answer key

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

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