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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 510 · 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 2 and then add 22. The answer is 32. What is my number?
  2. 2.The length of a rectangle is 15 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 6 and then take away 38. The answer is 70. What is my number?
  4. 4.Priya has 28 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  5. 5.2 × ? − 17 = 33
  6. 6.I think of a number, multiply it by 8 and then add 9. The answer is 153. What is my number?
  7. 7.The length of a rectangle is 8 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  8. 8.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  11. 11.A pen costs ₹14 more than a pencil. 5 pens and 8 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  12. 12.6 × ? + 12 = 96
  13. 13.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹14 more than a pencil. 3 pens and 7 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 9(x + 2) = 8x + 36. What is x?
  17. 17.4 × ? − 29 = 15
  18. 18.I think of a number, multiply it by 8 and then add 1. The answer is 97. What is my number?
  19. 19.The length of a rectangle is 8 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 4 and then add 37. The answer is 157. What is my number?
  22. 22.The length of a rectangle is 8 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 12 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  24. 24.Solve for x: 7(x + 2) = 2x + 84. What is x?
  25. 25.The length of a rectangle is 7 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 3 and then add 38. The answer is 56. What is my number?
  27. 27.I think of a number, multiply it by 9 and then add 29. The answer is 137. What is my number?
  28. 28.The length of a rectangle is 3 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 12 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  30. 30.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 8 and then take away 12. The answer is 132. What is my number?
  32. 32.12 × ? + 28 = 292
  33. 33.9 × ? − 18 = 9
  34. 34.11 × ? − 13 = 240
  35. 35.Solve for x: 8(x + 9) = 4x + 120. What is x?
  36. 36.I think of a number, multiply it by 8 and then take away 37. The answer is 115. What is my number?
  37. 37.I think of a number, multiply it by 2 and then add 17. The answer is 35. What is my number?
  38. 38.A pen costs ₹4 more than a pencil. 5 pens and 7 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 3 and then add 12. The answer is 63. What is my number?
  40. 40.Solve for x: 8(x + 8) = 3x + 94. What is x?

Answer key

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

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