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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 140 · 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: 8(x + 7) = 2x + 164. What is x?
  2. 2.4 × ? + 14 = 26
  3. 3.Karan has 25 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 5 and then take away 37. The answer is 28. What is my number?
  5. 5.Kavya has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 3 and then add 33. The answer is 120. What is my number?
  7. 7.2 × ? − 18 = 4
  8. 8.A pen costs ₹9 more than a pencil. 5 pens and 4 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  9. 9.Ananya has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  10. 10.Pooja has 23 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹8 more than a pencil. 3 pens and 7 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 5(x + 1) = 2x + 20. What is x?
  13. 13.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  14. 14.5 × ? + 14 = 99
  15. 15.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 9 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  17. 17.Diya has 30 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 11 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  19. 19.A pen costs ₹5 more than a pencil. 3 pens and 2 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 3 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 4 and then add 7. The answer is 71. What is my number?
  22. 22.I think of a number, multiply it by 5 and then take away 11. The answer is 89. What is my number?
  23. 23.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  24. 24.Aditya has 20 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 6 and then add 33. The answer is 177. What is my number?
  27. 27.A pen costs ₹3 more than a pencil. 3 pens and 8 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  28. 28.10 × ? + 6 = 86
  29. 29.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 3 and then take away 16. The answer is 47. What is my number?
  31. 31.I think of a number, multiply it by 7 and then add 8. The answer is 50. What is my number?
  32. 32.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 7 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 7 and then take away 6. The answer is 43. What is my number?
  35. 35.Solve for x: 3(x + 4) = x + 48. What is x?
  36. 36.I think of a number, multiply it by 7 and then take away 1. The answer is 20. What is my number?
  37. 37.I think of a number, multiply it by 6 and then take away 29. The answer is 103. What is my number?
  38. 38.8 × ? + 24 = 48
  39. 39.7 × ? − 27 = 127
  40. 40.I think of a number, multiply it by 6 and then add 3. The answer is 27. What is my number?

Answer key

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

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