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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 260 · 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 13 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  2. 2.Aarav has 17 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹14 more than a pencil. 5 pens and 5 pencils cost ₹240 in all. What does one pencil cost (in ₹)?
  4. 4.Tara has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 8 and then add 23. The answer is 95. What is my number?
  6. 6.I think of a number, multiply it by 2 and then take away 3. The answer is 13. What is my number?
  7. 7.Solve for x: 3(x + 2) = 2x + 20. What is x?
  8. 8.The length of a rectangle is 9 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 10 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  10. 10.8 × ? − 1 = 79
  11. 11.9 × ? + 17 = 98
  12. 12.A pen costs ₹9 more than a pencil. 2 pens and 6 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 3 and then take away 23. The answer is 37. What is my number?
  14. 14.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  16. 16.7 × ? − 14 = 91
  17. 17.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  18. 18.Solve for x: 4(x + 3) = 3x + 14. What is x?
  19. 19.The length of a rectangle is 7 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  20. 20.Rohan has 25 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  21. 21.Aarav has 27 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  22. 22.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹12 more than a pencil. 6 pens and 8 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  24. 24.Nisha has 28 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 7(x + 1) = x + 37. What is x?
  26. 26.Solve for x: 8(x + 1) = 3x + 28. What is x?
  27. 27.Solve for x: 6(x + 2) = 2x + 80. What is x?
  28. 28.A pen costs ₹5 more than a pencil. 5 pens and 5 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 6 and then add 6. The answer is 18. What is my number?
  30. 30.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  31. 31.Solve for x: 3(x + 6) = 2x + 31. What is x?
  32. 32.I think of a number, multiply it by 9 and then take away 4. The answer is 158. What is my number?
  33. 33.A pen costs ₹7 more than a pencil. 2 pens and 8 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 7(x + 9) = 2x + 93. What is x?
  36. 36.I think of a number, multiply it by 2 and then add 29. The answer is 53. What is my number?
  37. 37.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  38. 38.4 × ? − 1 = 11
  39. 39.A pen costs ₹11 more than a pencil. 2 pens and 5 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹9 more than a pencil. 5 pens and 2 pencils cost ₹150 in all. What does one pencil cost (in ₹)?

Answer key

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

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