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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 812 · 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.Isha has 22 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 6 and then add 26. The answer is 74. What is my number?
  3. 3.I think of a number, multiply it by 9 and then take away 13. The answer is 131. What is my number?
  4. 4.Solve for x: 9(x + 3) = 4x + 77. What is x?
  5. 5.Solve for x: 3(x + 1) = 2x + 19. What is x?
  6. 6.I think of a number, multiply it by 3 and then add 25. The answer is 109. What is my number?
  7. 7.I think of a number, multiply it by 8 and then add 10. The answer is 58. What is my number?
  8. 8.The length of a rectangle is 7 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  9. 9.A pen costs ₹12 more than a pencil. 4 pens and 4 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  10. 10.6 × ? + 25 = 133
  11. 11.Sneha has 25 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 4(x + 2) = x + 17. What is x?
  13. 13.Solve for x: 8(x + 7) = x + 140. What is x?
  14. 14.The length of a rectangle is 8 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  15. 15.Pooja has 21 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  17. 17.Solve for x: 3(x + 6) = x + 24. What is x?
  18. 18.Solve for x: 3(x + 1) = x + 19. What is x?
  19. 19.I think of a number, multiply it by 3 and then add 15. The answer is 90. What is my number?
  20. 20.The length of a rectangle is 7 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  21. 21.Zoya has 23 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 2 and then take away 6. The answer is 50. What is my number?
  23. 23.A pen costs ₹2 more than a pencil. 6 pens and 6 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  24. 24.8 × ? + 24 = 168
  25. 25.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  26. 26.Solve for x: 5(x + 4) = 2x + 29. What is x?
  27. 27.A pen costs ₹10 more than a pencil. 3 pens and 7 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  28. 28.Vivaan has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  29. 29.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  30. 30.A pen costs ₹5 more than a pencil. 2 pens and 4 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  32. 32.Aarav has 24 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  33. 33.Rohan has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 2 and then take away 9. The answer is 47. What is my number?
  35. 35.A pen costs ₹15 more than a pencil. 4 pens and 6 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 7(x + 3) = 3x + 37. What is x?
  37. 37.The length of a rectangle is 9 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  38. 38.2 × ? − 7 = 35
  39. 39.Kabir has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  40. 40.5 × ? + 3 = 98

Answer key

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

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