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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 136 · 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.Solve for x: 6(x + 2) = 2x + 20. What is x?
  2. 2.A pen costs ₹5 more than a pencil. 5 pens and 6 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 6 and then take away 14. The answer is 94. What is my number?
  4. 4.The length of a rectangle is 13 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  5. 5.Solve for x: 7(x + 7) = x + 61. What is x?
  6. 6.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  7. 7.Solve for x: 7(x + 4) = 4x + 76. What is x?
  8. 8.3 × ? + 19 = 52
  9. 9.A pen costs ₹9 more than a pencil. 5 pens and 7 pencils cost ₹273 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  11. 11.Nisha has 29 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 4 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  13. 13.Solve for x: 8(x + 4) = 5x + 56. What is x?
  14. 14.Solve for x: 4(x + 6) = 3x + 33. What is x?
  15. 15.Ishaan has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  16. 16.Kabir has 26 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 7 and then take away 8. The answer is 34. What is my number?
  18. 18.Solve for x: 8(x + 9) = x + 100. What is x?
  19. 19.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  20. 20.Isha has 26 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 7 and then add 25. The answer is 165. What is my number?
  22. 22.I think of a number, multiply it by 8 and then take away 2. The answer is 102. What is my number?
  23. 23.2 × ? − 24 = 10
  24. 24.A pen costs ₹11 more than a pencil. 5 pens and 4 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  25. 25.Pooja has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  26. 26.Ananya has 29 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  27. 27.4 × ? + 20 = 28
  28. 28.Solve for x: 9(x + 4) = x + 76. What is x?
  29. 29.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  30. 30.Ishaan has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  31. 31.Rahul has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 6(x + 6) = 4x + 54. What is x?
  33. 33.Sneha has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 8 and then add 31. The answer is 263. What is my number?
  35. 35.Arjun has 17 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 7 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  37. 37.A pen costs ₹15 more than a pencil. 4 pens and 6 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  39. 39.A pen costs ₹12 more than a pencil. 4 pens and 7 pencils cost ₹257 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 3(x + 2) = 2x + 12. What is x?

Answer key

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

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