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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 857 · 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 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  2. 2.Kabir has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 9 and then add 20. The answer is 110. What is my number?
  4. 4.Solve for x: 5(x + 7) = x + 71. What is x?
  5. 5.Solve for x: 8(x + 5) = 4x + 64. What is x?
  6. 6.Solve for x: 7(x + 5) = 5x + 43. What is x?
  7. 7.2 × ? − 7 = 1
  8. 8.Solve for x: 6(x + 9) = 5x + 69. What is x?
  9. 9.I think of a number, multiply it by 2 and then add 4. The answer is 14. What is my number?
  10. 10.3 × ? − 8 = 7
  11. 11.The length of a rectangle is 12 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  12. 12.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 8(x + 2) = 7x + 31. What is x?
  15. 15.Solve for x: 8(x + 2) = 7x + 22. What is x?
  16. 16.A pen costs ₹7 more than a pencil. 2 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  17. 17.The length of a rectangle is 13 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 5 and then take away 4. The answer is 91. What is my number?
  19. 19.Solve for x: 3(x + 1) = 2x + 22. What is x?
  20. 20.7 × ? + 21 = 168
  21. 21.Solve for x: 5(x + 9) = 3x + 63. What is x?
  22. 22.Solve for x: 8(x + 3) = 5x + 81. What is x?
  23. 23.I think of a number, multiply it by 7 and then add 23. The answer is 114. What is my number?
  24. 24.Zoya has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  25. 25.Dev has 30 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  26. 26.3 × ? − 1 = 14
  27. 27.6 × ? − 10 = 128
  28. 28.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  29. 29.12 × ? − 27 = 9
  30. 30.Ananya has 17 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 4(x + 3) = 2x + 14. What is x?
  32. 32.I think of a number, multiply it by 4 and then take away 16. The answer is 104. What is my number?
  33. 33.Solve for x: 8(x + 7) = 2x + 128. What is x?
  34. 34.A pen costs ₹6 more than a pencil. 5 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 4(x + 1) = 2x + 8. What is x?
  36. 36.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 9 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  38. 38.Ishaan has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  39. 39.Isha has 24 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  40. 40.Arjun has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?

Answer key

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

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