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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 733 · 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: 5(x + 5) = x + 49. What is x?
  2. 2.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 7 and then take away 34. The answer is 50. What is my number?
  4. 4.A pen costs ₹11 more than a pencil. 2 pens and 3 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  5. 5.6 × ? + 8 = 116
  6. 6.A pen costs ₹5 more than a pencil. 4 pens and 7 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  7. 7.4 × ? + 26 = 82
  8. 8.The length of a rectangle is 15 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 3 and then add 31. The answer is 118. What is my number?
  10. 10.I think of a number, multiply it by 4 and then add 11. The answer is 127. What is my number?
  11. 11.Ananya has 30 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹24 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 4(x + 1) = 2x + 24. What is x?
  14. 14.Solve for x: 7(x + 3) = 5x + 37. What is x?
  15. 15.I think of a number, multiply it by 2 and then add 34. The answer is 50. What is my number?
  16. 16.4 × ? + 21 = 101
  17. 17.I think of a number, multiply it by 6 and then add 31. The answer is 97. What is my number?
  18. 18.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 6 and then take away 11. The answer is 97. What is my number?
  21. 21.I think of a number, multiply it by 6 and then take away 3. The answer is 171. What is my number?
  22. 22.Solve for x: 8(x + 9) = 5x + 75. What is x?
  23. 23.Solve for x: 5(x + 1) = x + 21. What is x?
  24. 24.I think of a number, multiply it by 7 and then add 27. The answer is 48. What is my number?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 6 and then take away 4. The answer is 56. What is my number?
  27. 27.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  28. 28.Solve for x: 8(x + 8) = 3x + 99. What is x?
  29. 29.9 × ? − 14 = 121
  30. 30.5 × ? − 25 = 10
  31. 31.I think of a number, multiply it by 3 and then add 7. The answer is 64. What is my number?
  32. 32.A pen costs ₹14 more than a pencil. 5 pens and 2 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 7(x + 2) = x + 122. What is x?
  34. 34.I think of a number, multiply it by 2 and then take away 21. The answer is 35. What is my number?
  35. 35.Solve for x: 8(x + 9) = 5x + 120. What is x?
  36. 36.2 × ? − 3 = 25
  37. 37.I think of a number, multiply it by 2 and then add 32. The answer is 70. What is my number?
  38. 38.A pen costs ₹11 more than a pencil. 4 pens and 7 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 4(x + 6) = 2x + 26. What is x?
  40. 40.Isha has 22 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?

Answer key

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

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