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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 676 · 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 5 and then take away 12. The answer is 8. What is my number?
  2. 2.I think of a number, multiply it by 3 and then add 6. The answer is 33. What is my number?
  3. 3.I think of a number, multiply it by 2 and then add 4. The answer is 22. What is my number?
  4. 4.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 8 and then take away 12. The answer is 212. What is my number?
  6. 6.2 × ? + 13 = 27
  7. 7.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  8. 8.A pen costs ₹14 more than a pencil. 6 pens and 2 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 2 and then add 8. The answer is 30. What is my number?
  10. 10.I think of a number, multiply it by 4 and then take away 4. The answer is 108. What is my number?
  11. 11.I think of a number, multiply it by 9 and then add 6. The answer is 204. What is my number?
  12. 12.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  13. 13.Vivaan has 21 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 9 and then add 36. The answer is 171. What is my number?
  15. 15.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  16. 16.A pen costs ₹10 more than a pencil. 5 pens and 4 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  17. 17.9 × ? − 5 = 67
  18. 18.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  19. 19.Nisha has 17 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  20. 20.Arjun has 28 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  21. 21.8 × ? − 9 = 191
  22. 22.12 × ? − 19 = 89
  23. 23.The length of a rectangle is 8 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 4 and then add 16. The answer is 24. What is my number?
  25. 25.Solve for x: 4(x + 2) = x + 11. What is x?
  26. 26.I think of a number, multiply it by 2 and then add 27. The answer is 79. What is my number?
  27. 27.A pen costs ₹11 more than a pencil. 4 pens and 8 pencils cost ₹224 in all. What does one pencil cost (in ₹)?
  28. 28.Isha has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  29. 29.The length of a rectangle is 13 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  30. 30.A pen costs ₹4 more than a pencil. 6 pens and 2 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 2 and then add 2. The answer is 6. What is my number?
  32. 32.A pen costs ₹7 more than a pencil. 3 pens and 8 pencils cost ₹197 in all. What does one pencil cost (in ₹)?
  33. 33.Arjun has 22 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  34. 34.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  35. 35.Solve for x: 6(x + 1) = 2x + 82. What is x?
  36. 36.Solve for x: 7(x + 6) = 2x + 107. What is x?
  37. 37.Solve for x: 8(x + 2) = 2x + 88. What is x?
  38. 38.Isha has 28 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 12 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 5 and then add 35. The answer is 155. What is my number?

Answer key

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

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