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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 581 · 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: 7(x + 9) = 4x + 96. What is x?
  2. 2.I think of a number, multiply it by 5 and then take away 23. The answer is 97. What is my number?
  3. 3.4 × ? − 10 = 22
  4. 4.Solve for x: 7(x + 5) = 2x + 135. What is x?
  5. 5.9 × ? + 15 = 60
  6. 6.The length of a rectangle is 10 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  7. 7.Solve for x: 6(x + 1) = 4x + 8. What is x?
  8. 8.I think of a number, multiply it by 3 and then add 37. The answer is 106. What is my number?
  9. 9.I think of a number, multiply it by 4 and then take away 22. The answer is 94. What is my number?
  10. 10.Solve for x: 7(x + 5) = 6x + 51. What is x?
  11. 11.I think of a number, multiply it by 2 and then add 19. The answer is 77. What is my number?
  12. 12.Solve for x: 9(x + 9) = 6x + 105. What is x?
  13. 13.10 × ? − 16 = 184
  14. 14.The length of a rectangle is 6 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 4 and then add 40. The answer is 160. What is my number?
  16. 16.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 5(x + 5) = x + 33. What is x?
  18. 18.Nisha has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 9(x + 6) = 5x + 126. What is x?
  21. 21.Ananya has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 6 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 4 and then take away 20. The answer is 60. What is my number?
  24. 24.Solve for x: 5(x + 7) = 4x + 43. What is x?
  25. 25.I think of a number, multiply it by 5 and then add 24. The answer is 134. What is my number?
  26. 26.Isha has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  27. 27.2 × ? − 3 = 9
  28. 28.Aditya has 29 coins, all ₹5 and ₹2 coins, worth ₹118 in all. How many ₹5 coins are there?
  29. 29.12 × ? + 30 = 234
  30. 30.Solve for x: 6(x + 9) = x + 99. What is x?
  31. 31.I think of a number, multiply it by 5 and then add 1. The answer is 146. What is my number?
  32. 32.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹53 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  34. 34.Solve for x: 3(x + 3) = x + 49. What is x?
  35. 35.Solve for x: 9(x + 2) = 7x + 52. What is x?
  36. 36.Solve for x: 7(x + 9) = 2x + 83. What is x?
  37. 37.Rahul has 20 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹3 more than a pencil. 5 pens and 7 pencils cost ₹231 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 7 and then add 33. The answer is 145. What is my number?
  40. 40.I think of a number, multiply it by 8 and then add 23. The answer is 215. What is my number?

Answer key

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

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