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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 386 · 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.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  2. 2.Solve for x: 7(x + 3) = 2x + 41. What is x?
  3. 3.The length of a rectangle is 13 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  4. 4.Dev has 23 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  5. 5.2 × ? + 3 = 51
  6. 6.The length of a rectangle is 4 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  7. 7.Dev has 22 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 4 and then add 1. The answer is 89. What is my number?
  9. 9.Tara has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 8 and then take away 8. The answer is 192. What is my number?
  11. 11.The length of a rectangle is 8 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  12. 12.Aditya has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 8(x + 1) = 5x + 32. What is x?
  14. 14.Solve for x: 9(x + 9) = 7x + 83. What is x?
  15. 15.A pen costs ₹6 more than a pencil. 4 pens and 2 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  16. 16.3 × ? + 5 = 68
  17. 17.I think of a number, multiply it by 2 and then take away 1. The answer is 57. What is my number?
  18. 18.Dev has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  19. 19.Tara has 15 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 4 and then add 10. The answer is 102. What is my number?
  21. 21.Pooja has 19 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 8(x + 2) = 4x + 48. What is x?
  23. 23.I think of a number, multiply it by 4 and then add 26. The answer is 146. What is my number?
  24. 24.11 × ? + 2 = 68
  25. 25.I think of a number, multiply it by 3 and then add 18. The answer is 75. What is my number?
  26. 26.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  27. 27.Pooja has 26 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  28. 28.10 × ? + 20 = 50
  29. 29.I think of a number, multiply it by 6 and then take away 35. The answer is 37. What is my number?
  30. 30.3 × ? − 12 = 24
  31. 31.Solve for x: 7(x + 1) = 6x + 12. What is x?
  32. 32.I think of a number, multiply it by 5 and then add 11. The answer is 91. What is my number?
  33. 33.Meera has 30 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 6 and then take away 9. The answer is 63. What is my number?
  35. 35.Solve for x: 4(x + 7) = 2x + 36. What is x?
  36. 36.Rahul has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 12 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  38. 38.A pen costs ₹7 more than a pencil. 5 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 6(x + 7) = 4x + 74. What is x?
  40. 40.I think of a number, multiply it by 5 and then take away 4. The answer is 126. What is my number?

Answer key

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

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