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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 881 · 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.Solve for x: 9(x + 2) = 2x + 123. What is x?
  2. 2.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 6 and then take away 24. The answer is 126. What is my number?
  4. 4.7 × ? + 12 = 61
  5. 5.I think of a number, multiply it by 9 and then add 40. The answer is 121. What is my number?
  6. 6.I think of a number, multiply it by 3 and then add 35. The answer is 47. What is my number?
  7. 7.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  9. 9.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹9 more than a pencil. 4 pens and 4 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 5 and then take away 4. The answer is 6. What is my number?
  12. 12.Zoya has 26 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 2 and then take away 33. The answer is 7. What is my number?
  14. 14.A pen costs ₹12 more than a pencil. 2 pens and 7 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 9 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  16. 16.Ishaan has 26 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 2 and then add 11. The answer is 15. What is my number?
  18. 18.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 13 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  20. 20.A pen costs ₹12 more than a pencil. 3 pens and 7 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  21. 21.Diya has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 5 and then add 20. The answer is 35. What is my number?
  23. 23.Solve for x: 5(x + 1) = 4x + 12. What is x?
  24. 24.Pooja has 26 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹10 more than a pencil. 4 pens and 5 pencils cost ₹193 in all. What does one pencil cost (in ₹)?
  26. 26.Rohan has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  27. 27.I think of a number, multiply it by 8 and then add 40. The answer is 72. What is my number?
  28. 28.I think of a number, multiply it by 2 and then take away 9. The answer is 1. What is my number?
  29. 29.I think of a number, multiply it by 5 and then add 4. The answer is 119. What is my number?
  30. 30.I think of a number, multiply it by 6 and then add 8. The answer is 50. What is my number?
  31. 31.The length of a rectangle is 7 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  33. 33.A pen costs ₹8 more than a pencil. 2 pens and 8 pencils cost ₹206 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 9(x + 4) = x + 124. What is x?
  35. 35.4 × ? + 28 = 124
  36. 36.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  37. 37.A pen costs ₹7 more than a pencil. 5 pens and 8 pencils cost ₹191 in all. What does one pencil cost (in ₹)?
  38. 38.Isha has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  39. 39.11 × ? − 5 = 259
  40. 40.A pen costs ₹2 more than a pencil. 6 pens and 4 pencils cost ₹212 in all. What does one pencil cost (in ₹)?

Answer key

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

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