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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 910 · 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. 1.7 × ? + 25 = 165
  2. 2.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  3. 3.5 × ? − 24 = 26
  4. 4.Ishaan has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  5. 5.7 × ? − 25 = 73
  6. 6.I think of a number, multiply it by 8 and then add 4. The answer is 180. What is my number?
  7. 7.Solve for x: 5(x + 7) = 4x + 40. What is x?
  8. 8.The length of a rectangle is 2 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 7 and then add 21. The answer is 42. What is my number?
  10. 10.Ishaan has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  11. 11.Arjun has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 9 and then take away 20. The answer is 205. What is my number?
  13. 13.Pooja has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 4(x + 8) = 2x + 36. What is x?
  15. 15.Vivaan has 29 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 6 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 4 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 6 and then take away 31. The answer is 149. What is my number?
  19. 19.Meera has 28 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  20. 20.Nisha has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 6 and then take away 20. The answer is 160. What is my number?
  22. 22.Solve for x: 8(x + 1) = x + 57. What is x?
  23. 23.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  24. 24.Arjun has 17 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  25. 25.2 × ? − 18 = 22
  26. 26.6 × ? − 21 = 99
  27. 27.Solve for x: 8(x + 5) = 6x + 68. What is x?
  28. 28.A pen costs ₹6 more than a pencil. 2 pens and 8 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 4(x + 2) = 3x + 11. What is x?
  30. 30.Solve for x: 4(x + 5) = x + 71. What is x?
  31. 31.8 × ? + 19 = 163
  32. 32.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹258 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 9(x + 8) = 4x + 167. What is x?
  34. 34.I think of a number, multiply it by 9 and then add 38. The answer is 110. What is my number?
  35. 35.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  36. 36.7 × ? − 12 = 72
  37. 37.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 4(x + 8) = 3x + 40. What is x?
  40. 40.Solve for x: 3(x + 2) = 2x + 25. What is x?

Answer key

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

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