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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 129 · 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. 1.4 × ? + 1 = 45
  2. 2.3 × ? + 20 = 38
  3. 3.3 × ? + 20 = 44
  4. 4.3 × ? + 6 = 33
  5. 5.Meera has 30 coins, all ₹5 and ₹2 coins, worth ₹135 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹5 more than a pencil. 2 pens and 8 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  8. 8.Solve for x: 6(x + 7) = 4x + 58. What is x?
  9. 9.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹2 more than a pencil. 4 pens and 4 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 7 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  12. 12.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  13. 13.10 × ? + 9 = 39
  14. 14.A pen costs ₹14 more than a pencil. 4 pens and 6 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 3 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  16. 16.Solve for x: 7(x + 6) = 4x + 48. What is x?
  17. 17.A pen costs ₹15 more than a pencil. 5 pens and 5 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 9 and then add 7. The answer is 70. What is my number?
  19. 19.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 9 and then take away 6. The answer is 66. What is my number?
  21. 21.A pen costs ₹11 more than a pencil. 6 pens and 4 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  22. 22.Priya has 19 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 3(x + 7) = 2x + 39. What is x?
  24. 24.A pen costs ₹9 more than a pencil. 4 pens and 7 pencils cost ₹223 in all. What does one pencil cost (in ₹)?
  25. 25.Aarav has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 3 and then add 27. The answer is 117. What is my number?
  27. 27.Solve for x: 3(x + 8) = 2x + 35. What is x?
  28. 28.12 × ? + 9 = 69
  29. 29.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  30. 30.Solve for x: 7(x + 3) = 2x + 26. What is x?
  31. 31.A pen costs ₹11 more than a pencil. 3 pens and 2 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 7 and then add 18. The answer is 137. What is my number?
  33. 33.Solve for x: 7(x + 3) = 4x + 66. What is x?
  34. 34.Solve for x: 4(x + 8) = 2x + 54. What is x?
  35. 35.4 × ? + 27 = 59
  36. 36.I think of a number, multiply it by 9 and then add 23. The answer is 212. What is my number?
  37. 37.8 × ? + 28 = 140
  38. 38.I think of a number, multiply it by 4 and then add 19. The answer is 123. What is my number?
  39. 39.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  40. 40.Solve for x: 9(x + 7) = 4x + 148. What is x?

Answer key

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

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