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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 356 · 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.I think of a number, multiply it by 5 and then take away 18. The answer is 132. What is my number?
  2. 2.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 7 and then take away 33. The answer is 135. What is my number?
  4. 4.6 × ? − 19 = 77
  5. 5.I think of a number, multiply it by 5 and then add 27. The answer is 47. What is my number?
  6. 6.Solve for x: 9(x + 1) = 8x + 27. What is x?
  7. 7.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  8. 8.Solve for x: 5(x + 6) = 2x + 72. What is x?
  9. 9.A pen costs ₹3 more than a pencil. 2 pens and 8 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 12 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 2 and then add 7. The answer is 39. What is my number?
  12. 12.I think of a number, multiply it by 7 and then add 24. The answer is 38. What is my number?
  13. 13.Solve for x: 9(x + 7) = 5x + 79. What is x?
  14. 14.The length of a rectangle is 15 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  15. 15.5 × ? − 18 = 92
  16. 16.A pen costs ₹11 more than a pencil. 4 pens and 7 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  17. 17.Manav has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  18. 18.2 × ? + 10 = 18
  19. 19.10 × ? + 10 = 110
  20. 20.Dev has 26 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 6(x + 9) = 2x + 90. What is x?
  22. 22.The length of a rectangle is 14 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 4 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 7 and then take away 27. The answer is 1. What is my number?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  26. 26.7 × ? − 20 = 148
  27. 27.Solve for x: 8(x + 9) = 3x + 87. What is x?
  28. 28.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  29. 29.5 × ? + 13 = 33
  30. 30.12 × ? − 20 = 52
  31. 31.I think of a number, multiply it by 7 and then add 33. The answer is 124. What is my number?
  32. 32.A pen costs ₹14 more than a pencil. 4 pens and 2 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹15 more than a pencil. 4 pens and 5 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹7 more than a pencil. 6 pens and 4 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  36. 36.9 × ? + 5 = 194
  37. 37.Solve for x: 5(x + 7) = 4x + 50. What is x?
  38. 38.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 8(x + 3) = 2x + 72. What is x?
  40. 40.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?

Answer key

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

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