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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 477 · 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 take away 3. The answer is 39. What is my number?
  2. 2.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 11 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  4. 4.Solve for x: 3(x + 6) = 2x + 36. What is x?
  5. 5.I think of a number, multiply it by 6 and then add 35. The answer is 77. What is my number?
  6. 6.4 × ? − 18 = 10
  7. 7.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹336 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 3 and then add 33. The answer is 120. What is my number?
  9. 9.Rohan has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 3(x + 8) = x + 42. What is x?
  11. 11.3 × ? + 20 = 32
  12. 12.The length of a rectangle is 15 m more than its breadth. Its perimeter is 150 m. What is its breadth (in m)?
  13. 13.9 × ? − 28 = 125
  14. 14.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  15. 15.Solve for x: 7(x + 8) = 4x + 68. What is x?
  16. 16.11 × ? − 1 = 142
  17. 17.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  19. 19.A pen costs ₹12 more than a pencil. 5 pens and 7 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  20. 20.Pooja has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  22. 22.4 × ? + 8 = 84
  23. 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 6 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  25. 25.9 × ? + 1 = 73
  26. 26.I think of a number, multiply it by 5 and then add 2. The answer is 152. What is my number?
  27. 27.10 × ? − 23 = 197
  28. 28.The length of a rectangle is 8 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 14 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 9 and then take away 37. The answer is 197. What is my number?
  31. 31.I think of a number, multiply it by 9 and then add 12. The answer is 219. What is my number?
  32. 32.11 × ? + 2 = 57
  33. 33.4 × ? − 1 = 43
  34. 34.Solve for x: 9(x + 5) = 5x + 89. What is x?
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  36. 36.Solve for x: 9(x + 4) = 2x + 99. What is x?
  37. 37.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 8 and then add 15. The answer is 47. What is my number?
  39. 39.The length of a rectangle is 2 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 2 and then add 19. The answer is 33. What is my number?

Answer key

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

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