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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 620 · 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 + 1) = 2x + 17. What is x?
  2. 2.I think of a number, multiply it by 3 and then add 28. The answer is 91. What is my number?
  3. 3.I think of a number, multiply it by 3 and then take away 6. The answer is 21. What is my number?
  4. 4.A pen costs ₹4 more than a pencil. 5 pens and 5 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  5. 5.4 × ? − 11 = 57
  6. 6.A pen costs ₹10 more than a pencil. 3 pens and 2 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 2 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  8. 8.Dev has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  10. 10.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 5 and then take away 33. The answer is 97. What is my number?
  12. 12.Zoya has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 4(x + 2) = 3x + 16. What is x?
  14. 14.I think of a number, multiply it by 3 and then add 5. The answer is 86. What is my number?
  15. 15.A pen costs ₹7 more than a pencil. 4 pens and 2 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  17. 17.Kavya has 20 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹4 more than a pencil. 6 pens and 8 pencils cost ₹178 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹13 more than a pencil. 2 pens and 3 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 5 and then add 21. The answer is 136. What is my number?
  21. 21.12 × ? − 9 = 87
  22. 22.I think of a number, multiply it by 3 and then add 13. The answer is 88. What is my number?
  23. 23.4 × ? + 20 = 80
  24. 24.Kavya has 17 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 8 and then take away 26. The answer is 166. What is my number?
  26. 26.I think of a number, multiply it by 3 and then add 23. The answer is 104. What is my number?
  27. 27.A pen costs ₹4 more than a pencil. 4 pens and 5 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 9(x + 2) = 3x + 108. What is x?
  29. 29.3 × ? − 2 = 55
  30. 30.Dev has 22 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 9(x + 8) = 4x + 167. What is x?
  32. 32.Solve for x: 5(x + 2) = x + 38. What is x?
  33. 33.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 8(x + 5) = x + 173. What is x?
  35. 35.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 8 and then add 19. The answer is 115. What is my number?
  37. 37.The length of a rectangle is 8 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  38. 38.A pen costs ₹4 more than a pencil. 6 pens and 8 pencils cost ₹290 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 5 and then take away 30. The answer is 20. What is my number?
  40. 40.Solve for x: 3(x + 6) = 2x + 28. What is x?

Answer key

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

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