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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 257 · 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.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 2 and then add 2. The answer is 28. What is my number?
  3. 3.Solve for x: 3(x + 4) = 2x + 20. What is x?
  4. 4.The length of a rectangle is 6 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  5. 5.8 × ? + 24 = 64
  6. 6.A pen costs ₹10 more than a pencil. 3 pens and 4 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 5(x + 1) = 4x + 14. What is x?
  8. 8.A pen costs ₹14 more than a pencil. 5 pens and 7 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  9. 9.4 × ? − 19 = 33
  10. 10.I think of a number, multiply it by 5 and then take away 22. The answer is 8. What is my number?
  11. 11.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 4(x + 5) = 3x + 39. What is x?
  13. 13.I think of a number, multiply it by 3 and then take away 26. The answer is 46. What is my number?
  14. 14.Nisha has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹13 more than a pencil. 4 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  16. 16.5 × ? + 22 = 77
  17. 17.10 × ? + 23 = 43
  18. 18.I think of a number, multiply it by 2 and then add 28. The answer is 84. What is my number?
  19. 19.Aarav has 19 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  20. 20.The length of a rectangle is 13 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 7 and then take away 30. The answer is 117. What is my number?
  22. 22.The length of a rectangle is 8 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 7 and then add 12. The answer is 131. What is my number?
  24. 24.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  25. 25.2 × ? + 23 = 55
  26. 26.I think of a number, multiply it by 8 and then add 15. The answer is 79. What is my number?
  27. 27.I think of a number, multiply it by 3 and then take away 8. The answer is 76. What is my number?
  28. 28.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 4(x + 3) = x + 57. What is x?
  30. 30.12 × ? + 27 = 291
  31. 31.A pen costs ₹14 more than a pencil. 2 pens and 6 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 2 and then take away 2. The answer is 6. What is my number?
  33. 33.Solve for x: 8(x + 8) = 5x + 118. What is x?
  34. 34.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 5(x + 5) = 3x + 51. What is x?
  36. 36.A pen costs ₹5 more than a pencil. 4 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  37. 37.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 4 and then take away 8. The answer is 84. What is my number?
  39. 39.10 × ? + 2 = 192
  40. 40.A pen costs ₹3 more than a pencil. 2 pens and 8 pencils cost ₹196 in all. What does one pencil cost (in ₹)?

Answer key

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

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