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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 379 · 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 3 and then add 36. The answer is 72. What is my number?
  2. 2.The length of a rectangle is 7 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 10 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  4. 4.Solve for x: 8(x + 2) = x + 44. What is x?
  5. 5.8 × ? − 6 = 170
  6. 6.Vivaan has 30 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  7. 7.Kabir has 30 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 13 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 5 and then add 6. The answer is 51. What is my number?
  10. 10.A pen costs ₹11 more than a pencil. 5 pens and 4 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 8(x + 9) = 4x + 108. What is x?
  13. 13.The length of a rectangle is 9 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 13 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 6 and then take away 21. The answer is 9. What is my number?
  16. 16.A pen costs ₹14 more than a pencil. 2 pens and 8 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  17. 17.3 × ? + 21 = 54
  18. 18.The length of a rectangle is 2 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  20. 20.Sneha has 20 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  21. 21.Zoya has 20 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 12 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  23. 23.Solve for x: 7(x + 4) = 5x + 38. What is x?
  24. 24.The length of a rectangle is 13 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  25. 25.Kavya has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹2 more than a pencil. 5 pens and 2 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  27. 27.9 × ? + 5 = 86
  28. 28.2 × ? + 3 = 11
  29. 29.Priya has 26 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹11 more than a pencil. 4 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 6(x + 4) = 2x + 40. What is x?
  32. 32.I think of a number, multiply it by 7 and then add 5. The answer is 40. What is my number?
  33. 33.Solve for x: 9(x + 1) = 4x + 84. What is x?
  34. 34.I think of a number, multiply it by 2 and then add 25. The answer is 77. What is my number?
  35. 35.Pooja has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 2 and then add 40. The answer is 46. What is my number?
  37. 37.3 × ? + 1 = 28
  38. 38.I think of a number, multiply it by 7 and then add 32. The answer is 102. What is my number?
  39. 39.Solve for x: 3(x + 4) = 2x + 15. What is x?
  40. 40.Solve for x: 8(x + 3) = 7x + 26. What is x?

Answer key

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

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