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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 565 · 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: 8(x + 8) = 4x + 120. What is x?
  2. 2.I think of a number, multiply it by 4 and then add 16. The answer is 124. What is my number?
  3. 3.The length of a rectangle is 13 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  5. 5.Solve for x: 4(x + 6) = x + 84. What is x?
  6. 6.Solve for x: 4(x + 6) = 3x + 42. What is x?
  7. 7.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  8. 8.10 × ? − 6 = 184
  9. 9.The length of a rectangle is 13 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  10. 10.A pen costs ₹14 more than a pencil. 5 pens and 8 pencils cost ₹304 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹11 more than a pencil. 5 pens and 4 pencils cost ₹181 in all. What does one pencil cost (in ₹)?
  12. 12.11 × ? − 4 = 194
  13. 13.The length of a rectangle is 10 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  14. 14.Tara has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  15. 15.Meera has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  16. 16.Dev has 29 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  19. 19.Aarav has 29 coins, all ₹5 and ₹2 coins, worth ₹127 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 6 and then add 6. The answer is 144. What is my number?
  21. 21.Solve for x: 9(x + 4) = 4x + 66. What is x?
  22. 22.Kavya has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹11 more than a pencil. 5 pens and 7 pencils cost ₹139 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 3 and then add 6. The answer is 75. What is my number?
  25. 25.The length of a rectangle is 12 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 3 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  28. 28.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 4 and then take away 35. The answer is 41. What is my number?
  30. 30.3 × ? + 29 = 38
  31. 31.Solve for x: 4(x + 9) = 3x + 38. What is x?
  32. 32.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 10 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  34. 34.Ananya has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 4 and then add 27. The answer is 103. What is my number?
  36. 36.I think of a number, multiply it by 6 and then take away 2. The answer is 52. What is my number?
  37. 37.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  38. 38.4 × ? − 30 = 2
  39. 39.Dev has 26 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 9(x + 6) = 3x + 66. What is x?

Answer key

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

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