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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 114 · 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: 3(x + 4) = 2x + 23. What is x?
  2. 2.Solve for x: 5(x + 7) = x + 39. What is x?
  3. 3.I think of a number, multiply it by 3 and then add 6. The answer is 57. What is my number?
  4. 4.A pen costs ₹14 more than a pencil. 3 pens and 3 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 7(x + 2) = 3x + 30. What is x?
  6. 6.Rahul has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹4 more than a pencil. 4 pens and 8 pencils cost ₹256 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 3(x + 4) = 2x + 19. What is x?
  10. 10.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 4 and then add 19. The answer is 107. What is my number?
  12. 12.A pen costs ₹4 more than a pencil. 6 pens and 6 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
  13. 13.Tara has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  14. 14.3 × ? + 17 = 23
  15. 15.2 × ? + 19 = 51
  16. 16.10 × ? − 9 = 11
  17. 17.Ishaan has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  19. 19.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  21. 21.11 × ? − 25 = 41
  22. 22.The length of a rectangle is 4 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  23. 23.7 × ? − 19 = 114
  24. 24.7 × ? − 17 = 53
  25. 25.5 × ? − 4 = 76
  26. 26.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  27. 27.11 × ? − 29 = 147
  28. 28.Manav has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹4 more than a pencil. 3 pens and 6 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹7 more than a pencil. 3 pens and 3 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹2 more than a pencil. 5 pens and 5 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 3 and then take away 26. The answer is 64. What is my number?
  33. 33.9 × ? − 10 = 206
  34. 34.Solve for x: 7(x + 8) = 6x + 74. What is x?
  35. 35.4 × ? + 25 = 49
  36. 36.The length of a rectangle is 7 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  37. 37.6 × ? − 28 = 14
  38. 38.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  39. 39.A pen costs ₹7 more than a pencil. 5 pens and 4 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 6(x + 4) = 3x + 69. What is x?

Answer key

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

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