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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 670 · 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.I think of a number, multiply it by 6 and then take away 16. The answer is 104. What is my number?
  2. 2.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  3. 3.5 × ? − 28 = 87
  4. 4.Solve for x: 3(x + 7) = x + 35. What is x?
  5. 5.Solve for x: 3(x + 9) = 2x + 42. What is x?
  6. 6.12 × ? − 21 = 15
  7. 7.Solve for x: 9(x + 9) = 8x + 99. What is x?
  8. 8.Solve for x: 5(x + 5) = 3x + 27. What is x?
  9. 9.11 × ? − 3 = 96
  10. 10.A pen costs ₹2 more than a pencil. 5 pens and 4 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 14 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 8 and then add 27. The answer is 267. What is my number?
  13. 13.I think of a number, multiply it by 2 and then add 39. The answer is 63. What is my number?
  14. 14.A pen costs ₹2 more than a pencil. 5 pens and 2 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹4 more than a pencil. 6 pens and 3 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 8(x + 9) = 4x + 124. What is x?
  17. 17.Rahul has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹11 more than a pencil. 6 pens and 6 pencils cost ₹270 in all. What does one pencil cost (in ₹)?
  20. 20.Nisha has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 4 and then take away 29. The answer is 35. What is my number?
  22. 22.I think of a number, multiply it by 3 and then take away 7. The answer is 62. What is my number?
  23. 23.I think of a number, multiply it by 5 and then add 3. The answer is 28. What is my number?
  24. 24.I think of a number, multiply it by 4 and then add 8. The answer is 88. What is my number?
  25. 25.Solve for x: 6(x + 1) = 4x + 22. What is x?
  26. 26.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 10 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  28. 28.The length of a rectangle is 11 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  29. 29.Solve for x: 4(x + 3) = 2x + 24. What is x?
  30. 30.Vivaan has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 3 and then add 29. The answer is 59. What is my number?
  32. 32.8 × ? − 9 = 7
  33. 33.I think of a number, multiply it by 8 and then take away 15. The answer is 97. What is my number?
  34. 34.The length of a rectangle is 14 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  35. 35.12 × ? − 10 = 62
  36. 36.I think of a number, multiply it by 6 and then take away 31. The answer is 5. What is my number?
  37. 37.Karan has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹8 more than a pencil. 5 pens and 5 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?

Answer key

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

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