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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 621 · 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: 4(x + 9) = 3x + 48. What is x?
  2. 2.The length of a rectangle is 4 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  3. 3.Arjun has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  4. 4.4 × ? − 1 = 19
  5. 5.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹206 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 2 and then take away 4. The answer is 48. What is my number?
  7. 7.3 × ? + 6 = 39
  8. 8.The length of a rectangle is 11 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  9. 9.Solve for x: 4(x + 1) = 2x + 34. What is x?
  10. 10.A pen costs ₹14 more than a pencil. 5 pens and 2 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹13 more than a pencil. 4 pens and 4 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 14 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  13. 13.Solve for x: 3(x + 2) = x + 38. What is x?
  14. 14.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  15. 15.Vivaan has 27 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 15 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  17. 17.Saanvi has 18 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹178 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 6(x + 5) = 4x + 48. What is x?
  20. 20.Solve for x: 8(x + 4) = 5x + 44. What is x?
  21. 21.I think of a number, multiply it by 4 and then add 22. The answer is 110. What is my number?
  22. 22.I think of a number, multiply it by 4 and then take away 5. The answer is 35. What is my number?
  23. 23.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 2 and then take away 11. The answer is 3. What is my number?
  26. 26.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 3 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  28. 28.Dev has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 7 and then take away 8. The answer is 174. What is my number?
  30. 30.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 4(x + 9) = 2x + 76. What is x?
  32. 32.2 × ? + 12 = 26
  33. 33.9 × ? − 8 = 19
  34. 34.I think of a number, multiply it by 2 and then add 12. The answer is 30. What is my number?
  35. 35.Vivaan has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  36. 36.Meera has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  37. 37.7 × ? − 23 = 117
  38. 38.I think of a number, multiply it by 4 and then add 35. The answer is 75. What is my number?
  39. 39.Pooja has 20 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹9 more than a pencil. 3 pens and 3 pencils cost ₹93 in all. What does one pencil cost (in ₹)?

Answer key

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

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