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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 557 · 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 14 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  2. 2.6 × ? + 1 = 37
  3. 3.I think of a number, multiply it by 8 and then add 6. The answer is 222. What is my number?
  4. 4.A pen costs ₹14 more than a pencil. 6 pens and 2 pencils cost ₹244 in all. What does one pencil cost (in ₹)?
  5. 5.6 × ? + 24 = 54
  6. 6.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 4 and then take away 38. The answer is 54. What is my number?
  8. 8.8 × ? + 1 = 153
  9. 9.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  10. 10.Saanvi has 21 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹15 more than a pencil. 5 pens and 4 pencils cost ₹219 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  14. 14.Ishaan has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  15. 15.Tara has 17 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 2 and then add 2. The answer is 24. What is my number?
  17. 17.I think of a number, multiply it by 9 and then add 7. The answer is 259. What is my number?
  18. 18.Solve for x: 5(x + 6) = 3x + 46. What is x?
  19. 19.9 × ? − 16 = 164
  20. 20.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  21. 21.Zoya has 28 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 9(x + 8) = 8x + 78. What is x?
  23. 23.3 × ? + 21 = 36
  24. 24.A pen costs ₹6 more than a pencil. 5 pens and 7 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
  25. 25.Saanvi has 17 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  26. 26.Tara has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  27. 27.3 × ? + 27 = 93
  28. 28.Ananya has 17 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  29. 29.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹11 more than a pencil. 5 pens and 8 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 6(x + 1) = 4x + 36. What is x?
  32. 32.Arjun has 30 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 9 and then add 8. The answer is 152. What is my number?
  34. 34.9 × ? − 4 = 59
  35. 35.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 5 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 6 and then take away 25. The answer is 107. What is my number?
  38. 38.Zoya has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  39. 39.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 4 and then add 29. The answer is 113. What is my number?

Answer key

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

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