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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 671 · 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 3 and then add 2. The answer is 89. What is my number?
  2. 2.The length of a rectangle is 4 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  3. 3.Solve for x: 7(x + 1) = 6x + 20. What is x?
  4. 4.A pen costs ₹2 more than a pencil. 5 pens and 2 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 5 and then add 1. The answer is 21. What is my number?
  6. 6.3 × ? + 7 = 16
  7. 7.A pen costs ₹6 more than a pencil. 4 pens and 8 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  8. 8.Manav has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 8 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  10. 10.A pen costs ₹7 more than a pencil. 4 pens and 2 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 9 and then add 37. The answer is 208. What is my number?
  13. 13.Solve for x: 5(x + 4) = 4x + 38. What is x?
  14. 14.Solve for x: 7(x + 5) = x + 119. What is x?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  16. 16.A pen costs ₹5 more than a pencil. 5 pens and 6 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
  17. 17.The length of a rectangle is 6 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  18. 18.A pen costs ₹5 more than a pencil. 5 pens and 6 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹240 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  23. 23.Solve for x: 7(x + 3) = 4x + 48. What is x?
  24. 24.4 × ? + 1 = 41
  25. 25.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 9(x + 7) = 3x + 171. What is x?
  27. 27.7 × ? + 28 = 63
  28. 28.A pen costs ₹11 more than a pencil. 3 pens and 8 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 7 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  30. 30.Diya has 30 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹14 more than a pencil. 6 pens and 6 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  32. 32.5 × ? + 12 = 82
  33. 33.Solve for x: 9(x + 3) = 8x + 44. What is x?
  34. 34.A pen costs ₹7 more than a pencil. 6 pens and 4 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  35. 35.2 × ? + 22 = 36
  36. 36.A pen costs ₹5 more than a pencil. 4 pens and 3 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  37. 37.Saanvi has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  38. 38.The length of a rectangle is 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  39. 39.A pen costs ₹13 more than a pencil. 4 pens and 3 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  40. 40.7 × ? − 27 = 50

Answer key

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

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