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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 568 · 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 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  2. 2.5 × ? + 30 = 40
  3. 3.Solve for x: 3(x + 6) = x + 38. What is x?
  4. 4.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  5. 5.5 × ? − 18 = 42
  6. 6.Solve for x: 3(x + 4) = x + 18. What is x?
  7. 7.I think of a number, multiply it by 8 and then add 10. The answer is 170. What is my number?
  8. 8.Diya has 23 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 3 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  10. 10.Tara has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 8 and then add 20. The answer is 76. What is my number?
  12. 12.Manav has 19 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 8 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  15. 15.8 × ? − 14 = 34
  16. 16.12 × ? − 19 = 245
  17. 17.The length of a rectangle is 2 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  18. 18.Solve for x: 8(x + 1) = 6x + 16. What is x?
  19. 19.Priya has 17 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 8 and then add 34. The answer is 242. What is my number?
  21. 21.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  22. 22.A pen costs ₹11 more than a pencil. 6 pens and 6 pencils cost ₹294 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 9(x + 5) = 6x + 84. What is x?
  24. 24.I think of a number, multiply it by 7 and then take away 14. The answer is 42. What is my number?
  25. 25.Kavya has 24 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  27. 27.Sneha has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 5 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  29. 29.Solve for x: 4(x + 2) = x + 29. What is x?
  30. 30.Aarav has 24 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹161 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹2 more than a pencil. 4 pens and 8 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 5 and then add 1. The answer is 116. What is my number?
  34. 34.I think of a number, multiply it by 9 and then take away 5. The answer is 31. What is my number?
  35. 35.12 × ? − 19 = 209
  36. 36.The length of a rectangle is 3 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  37. 37.Solve for x: 4(x + 3) = x + 57. What is x?
  38. 38.I think of a number, multiply it by 9 and then add 4. The answer is 103. What is my number?
  39. 39.Solve for x: 8(x + 2) = 7x + 29. What is x?
  40. 40.A pen costs ₹13 more than a pencil. 6 pens and 5 pencils cost ₹166 in all. What does one pencil cost (in ₹)?

Answer key

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

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