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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 663 · 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 7 and then add 18. The answer is 95. What is my number?
  2. 2.The length of a rectangle is 4 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  3. 3.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 13 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  5. 5.Solve for x: 6(x + 8) = 4x + 60. What is x?
  6. 6.Solve for x: 5(x + 3) = x + 47. What is x?
  7. 7.4 × ? + 29 = 45
  8. 8.Solve for x: 3(x + 1) = 2x + 4. What is x?
  9. 9.12 × ? − 16 = 116
  10. 10.2 × ? + 14 = 28
  11. 11.10 × ? − 7 = 103
  12. 12.A pen costs ₹3 more than a pencil. 5 pens and 3 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹12 more than a pencil. 5 pens and 4 pencils cost ₹222 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹15 more than a pencil. 6 pens and 8 pencils cost ₹370 in all. What does one pencil cost (in ₹)?
  15. 15.Aditya has 24 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  16. 16.3 × ? + 18 = 48
  17. 17.3 × ? + 9 = 36
  18. 18.A pen costs ₹12 more than a pencil. 2 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 7 and then add 14. The answer is 182. What is my number?
  20. 20.12 × ? − 6 = 138
  21. 21.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 14 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  23. 23.A pen costs ₹8 more than a pencil. 4 pens and 7 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  25. 25.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 8 and then add 8. The answer is 200. What is my number?
  27. 27.Aditya has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  28. 28.Diya has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 4 and then take away 23. The answer is 45. What is my number?
  30. 30.2 × ? + 22 = 40
  31. 31.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹113 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 2 and then add 20. The answer is 80. What is my number?
  34. 34.The length of a rectangle is 3 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  35. 35.A pen costs ₹2 more than a pencil. 4 pens and 3 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  36. 36.5 × ? − 14 = 21
  37. 37.I think of a number, multiply it by 4 and then take away 34. The answer is 50. What is my number?
  38. 38.A pen costs ₹7 more than a pencil. 4 pens and 7 pencils cost ₹237 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 9(x + 2) = 7x + 48. What is x?
  40. 40.Solve for x: 4(x + 1) = x + 52. What is x?

Answer key

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

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