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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 750 · 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: 7(x + 7) = 2x + 109. What is x?
  2. 2.I think of a number, multiply it by 5 and then add 34. The answer is 164. What is my number?
  3. 3.I think of a number, multiply it by 4 and then add 18. The answer is 62. What is my number?
  4. 4.Ananya has 15 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹4 more than a pencil. 3 pens and 6 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  6. 6.Isha has 21 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  8. 8.Meera has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 3(x + 6) = 2x + 35. What is x?
  10. 10.Solve for x: 8(x + 9) = 7x + 74. What is x?
  11. 11.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  12. 12.11 × ? − 10 = 45
  13. 13.5 × ? − 9 = 16
  14. 14.I think of a number, multiply it by 9 and then add 22. The answer is 283. What is my number?
  15. 15.12 × ? − 12 = 132
  16. 16.I think of a number, multiply it by 3 and then add 24. The answer is 54. What is my number?
  17. 17.Aarav has 17 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 8(x + 6) = 7x + 55. What is x?
  19. 19.A pen costs ₹11 more than a pencil. 5 pens and 3 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹13 more than a pencil. 3 pens and 5 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  21. 21.5 × ? − 12 = 93
  22. 22.I think of a number, multiply it by 6 and then add 19. The answer is 163. What is my number?
  23. 23.Solve for x: 3(x + 2) = x + 28. What is x?
  24. 24.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 5 and then add 12. The answer is 27. What is my number?
  26. 26.I think of a number, multiply it by 9 and then take away 4. The answer is 203. What is my number?
  27. 27.Meera has 17 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 7 and then take away 22. The answer is 55. What is my number?
  29. 29.Solve for x: 8(x + 3) = 4x + 100. What is x?
  30. 30.9 × ? + 1 = 55
  31. 31.A pen costs ₹5 more than a pencil. 5 pens and 6 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  32. 32.11 × ? + 3 = 135
  33. 33.9 × ? + 22 = 130
  34. 34.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 9 and then take away 26. The answer is 19. What is my number?
  36. 36.Solve for x: 4(x + 2) = x + 11. What is x?
  37. 37.Solve for x: 6(x + 5) = 5x + 32. What is x?
  38. 38.Isha has 29 coins, all ₹5 and ₹2 coins, worth ₹142 in all. How many ₹5 coins are there?
  39. 39.5 × ? − 24 = 31
  40. 40.A pen costs ₹4 more than a pencil. 4 pens and 3 pencils cost ₹79 in all. What does one pencil cost (in ₹)?

Answer key

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

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