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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 767 · 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.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 2 and then take away 36. The answer is 24. What is my number?
  3. 3.Solve for x: 4(x + 3) = 2x + 28. What is x?
  4. 4.The length of a rectangle is 14 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  5. 5.3 × ? − 16 = 53
  6. 6.Ananya has 21 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  7. 7.10 × ? + 30 = 220
  8. 8.10 × ? − 15 = 35
  9. 9.Solve for x: 3(x + 9) = 2x + 42. What is x?
  10. 10.2 × ? + 1 = 25
  11. 11.I think of a number, multiply it by 4 and then add 21. The answer is 129. What is my number?
  12. 12.3 × ? + 3 = 57
  13. 13.Solve for x: 4(x + 7) = x + 40. What is x?
  14. 14.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹2 more than a pencil. 6 pens and 8 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  16. 16.2 × ? − 12 = 30
  17. 17.A pen costs ₹10 more than a pencil. 3 pens and 3 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 9(x + 2) = 2x + 130. What is x?
  19. 19.11 × ? + 1 = 144
  20. 20.Solve for x: 3(x + 7) = 2x + 22. What is x?
  21. 21.The length of a rectangle is 2 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  22. 22.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  24. 24.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 6 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 7 and then add 9. The answer is 65. What is my number?
  28. 28.The length of a rectangle is 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  29. 29.Solve for x: 9(x + 9) = x + 241. What is x?
  30. 30.I think of a number, multiply it by 5 and then add 2. The answer is 87. What is my number?
  31. 31.Priya has 24 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  32. 32.4 × ? − 11 = 89
  33. 33.Aarav has 29 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  34. 34.4 × ? + 10 = 18
  35. 35.I think of a number, multiply it by 9 and then add 31. The answer is 121. What is my number?
  36. 36.2 × ? − 19 = 25
  37. 37.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 3 and then add 37. The answer is 67. What is my number?
  39. 39.I think of a number, multiply it by 8 and then add 10. The answer is 202. What is my number?
  40. 40.Solve for x: 5(x + 1) = 2x + 35. What is x?

Answer key

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

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