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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 521 · 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 8 and then add 10. The answer is 66. What is my number?
  2. 2.Rahul has 16 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 5(x + 6) = x + 86. What is x?
  4. 4.12 × ? + 19 = 115
  5. 5.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  6. 6.Farhan has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  7. 7.Aditya has 16 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 5 and then take away 17. The answer is 78. What is my number?
  9. 9.Solve for x: 5(x + 5) = 2x + 67. What is x?
  10. 10.Isha has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  12. 12.7 × ? + 2 = 142
  13. 13.Ishaan has 27 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 3 and then take away 32. The answer is 1. What is my number?
  15. 15.3 × ? − 24 = 3
  16. 16.I think of a number, multiply it by 2 and then add 40. The answer is 48. What is my number?
  17. 17.Ishaan has 25 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 2 and then take away 14. The answer is 38. What is my number?
  19. 19.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹8 more than a pencil. 3 pens and 7 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 8(x + 5) = 2x + 82. What is x?
  22. 22.The length of a rectangle is 6 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 4 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 8 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  26. 26.Diya has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  27. 27.2 × ? + 2 = 38
  28. 28.Solve for x: 4(x + 1) = 2x + 14. What is x?
  29. 29.Aditya has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 2 and then add 28. The answer is 44. What is my number?
  31. 31.I think of a number, multiply it by 2 and then add 3. The answer is 27. What is my number?
  32. 32.I think of a number, multiply it by 5 and then add 12. The answer is 137. What is my number?
  33. 33.A pen costs ₹6 more than a pencil. 4 pens and 7 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 6(x + 1) = 4x + 10. What is x?
  35. 35.12 × ? + 8 = 140
  36. 36.A pen costs ₹8 more than a pencil. 3 pens and 7 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  37. 37.10 × ? + 19 = 149
  38. 38.Aarav has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 6(x + 7) = x + 127. What is x?
  40. 40.I think of a number, multiply it by 7 and then add 34. The answer is 125. What is my number?

Answer key

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

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