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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 441 · 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 + 8) = 3x + 92. What is x?
  2. 2.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  3. 3.9 × ? − 19 = 116
  4. 4.Solve for x: 5(x + 1) = 2x + 53. What is x?
  5. 5.The length of a rectangle is 12 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 13 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 11 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  8. 8.A pen costs ₹9 more than a pencil. 6 pens and 3 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  9. 9.6 × ? + 8 = 116
  10. 10.2 × ? + 13 = 23
  11. 11.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  12. 12.Solve for x: 3(x + 3) = 2x + 29. What is x?
  13. 13.Solve for x: 7(x + 7) = x + 127. What is x?
  14. 14.Solve for x: 9(x + 1) = 2x + 86. What is x?
  15. 15.Meera has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹15 more than a pencil. 4 pens and 5 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 3(x + 4) = x + 14. What is x?
  18. 18.Solve for x: 5(x + 6) = x + 86. What is x?
  19. 19.I think of a number, multiply it by 4 and then add 20. The answer is 80. What is my number?
  20. 20.A pen costs ₹7 more than a pencil. 2 pens and 2 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 7 and then add 23. The answer is 226. What is my number?
  22. 22.The length of a rectangle is 13 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 4 and then take away 6. The answer is 114. What is my number?
  24. 24.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 5 and then take away 37. The answer is 108. What is my number?
  26. 26.Aditya has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 6 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  28. 28.Solve for x: 8(x + 4) = 7x + 41. What is x?
  29. 29.Solve for x: 8(x + 7) = x + 112. What is x?
  30. 30.Rohan has 17 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 2 and then add 26. The answer is 44. What is my number?
  32. 32.The length of a rectangle is 13 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  33. 33.A pen costs ₹11 more than a pencil. 3 pens and 4 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹11 more than a pencil. 6 pens and 4 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 5 and then take away 26. The answer is 119. What is my number?
  36. 36.Kavya has 29 coins, all ₹5 and ₹2 coins, worth ₹136 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 11 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 7 and then add 8. The answer is 183. What is my number?
  39. 39.Solve for x: 4(x + 1) = 2x + 30. What is x?
  40. 40.I think of a number, multiply it by 8 and then take away 40. The answer is 72. What is my number?

Answer key

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

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