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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 769 · 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: 3(x + 4) = 2x + 18. What is x?
  2. 2.3 × ? − 19 = 41
  3. 3.I think of a number, multiply it by 5 and then add 1. The answer is 126. What is my number?
  4. 4.8 × ? − 9 = 31
  5. 5.I think of a number, multiply it by 2 and then take away 34. The answer is 12. What is my number?
  6. 6.12 × ? + 28 = 52
  7. 7.5 × ? + 30 = 145
  8. 8.10 × ? − 4 = 66
  9. 9.The length of a rectangle is 9 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  10. 10.11 × ? + 21 = 164
  11. 11.The length of a rectangle is 13 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  12. 12.12 × ? + 9 = 189
  13. 13.6 × ? − 6 = 72
  14. 14.Solve for x: 7(x + 2) = 2x + 89. What is x?
  15. 15.Solve for x: 6(x + 3) = 3x + 42. What is x?
  16. 16.The length of a rectangle is 6 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 5 and then take away 39. The answer is 106. What is my number?
  18. 18.10 × ? − 10 = 30
  19. 19.11 × ? + 8 = 195
  20. 20.Rahul has 28 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹15 more than a pencil. 3 pens and 8 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  22. 22.12 × ? + 24 = 288
  23. 23.Sneha has 30 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  24. 24.Solve for x: 3(x + 9) = x + 57. What is x?
  25. 25.I think of a number, multiply it by 6 and then add 17. The answer is 185. What is my number?
  26. 26.Solve for x: 9(x + 1) = 2x + 100. What is x?
  27. 27.I think of a number, multiply it by 5 and then take away 23. The answer is 12. What is my number?
  28. 28.I think of a number, multiply it by 5 and then add 33. The answer is 128. What is my number?
  29. 29.A pen costs ₹11 more than a pencil. 2 pens and 6 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 2 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  31. 31.A pen costs ₹4 more than a pencil. 6 pens and 6 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  32. 32.7 × ? − 10 = 158
  33. 33.A pen costs ₹3 more than a pencil. 3 pens and 6 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 6 and then add 25. The answer is 145. What is my number?
  36. 36.I think of a number, multiply it by 6 and then take away 15. The answer is 51. What is my number?
  37. 37.Tara has 15 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  38. 38.The length of a rectangle is 3 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  40. 40.Vivaan has 19 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?

Answer key

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

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