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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 780 · 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: 7(x + 2) = 2x + 89. What is x?
  2. 2.The length of a rectangle is 13 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  4. 4.Manav has 17 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  5. 5.12 × ? − 15 = 33
  6. 6.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹26 in all. What does one pencil cost (in ₹)?
  7. 7.4 × ? − 20 = 48
  8. 8.I think of a number, multiply it by 5 and then add 17. The answer is 37. What is my number?
  9. 9.8 × ? + 8 = 56
  10. 10.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  11. 11.9 × ? − 1 = 179
  12. 12.I think of a number, multiply it by 5 and then take away 28. The answer is 37. What is my number?
  13. 13.A pen costs ₹13 more than a pencil. 5 pens and 3 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  15. 15.4 × ? − 16 = 52
  16. 16.Solve for x: 9(x + 9) = x + 105. What is x?
  17. 17.I think of a number, multiply it by 9 and then take away 30. The answer is 69. What is my number?
  18. 18.Nisha has 16 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 8 and then add 33. The answer is 201. What is my number?
  20. 20.A pen costs ₹14 more than a pencil. 4 pens and 2 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 7 and then take away 19. The answer is 184. What is my number?
  22. 22.Rahul has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹12 more than a pencil. 3 pens and 7 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  26. 26.4 × ? − 2 = 90
  27. 27.A pen costs ₹9 more than a pencil. 3 pens and 6 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  29. 29.11 × ? − 5 = 28
  30. 30.7 × ? − 4 = 150
  31. 31.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 5(x + 6) = 2x + 33. What is x?
  33. 33.I think of a number, multiply it by 9 and then add 25. The answer is 178. What is my number?
  34. 34.3 × ? + 26 = 44
  35. 35.The length of a rectangle is 4 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  36. 36.7 × ? − 6 = 120
  37. 37.I think of a number, multiply it by 7 and then add 36. The answer is 120. What is my number?
  38. 38.11 × ? + 7 = 95
  39. 39.Solve for x: 8(x + 7) = 2x + 176. What is x?
  40. 40.A pen costs ₹12 more than a pencil. 2 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?

Answer key

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

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