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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 165 · 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 + 9) = x + 39. What is x?
  2. 2.4 × ? + 9 = 17
  3. 3.The length of a rectangle is 15 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  4. 4.9 × ? − 1 = 152
  5. 5.I think of a number, multiply it by 3 and then add 1. The answer is 25. What is my number?
  6. 6.Aarav has 13 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 10 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 14 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  9. 9.5 × ? + 5 = 100
  10. 10.Solve for x: 5(x + 7) = 2x + 68. What is x?
  11. 11.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  12. 12.A pen costs ₹6 more than a pencil. 3 pens and 7 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  13. 13.Vivaan has 23 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 5 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 5 and then add 31. The answer is 111. What is my number?
  18. 18.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 2 and then take away 26. The answer is 28. What is my number?
  20. 20.I think of a number, multiply it by 6 and then take away 37. The answer is 5. What is my number?
  21. 21.Solve for x: 9(x + 6) = 6x + 114. What is x?
  22. 22.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  23. 23.Solve for x: 8(x + 3) = x + 108. What is x?
  24. 24.The length of a rectangle is 14 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  25. 25.Diya has 19 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 8 and then take away 40. The answer is 136. What is my number?
  27. 27.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 11 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 7 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 7 and then add 9. The answer is 44. What is my number?
  32. 32.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  33. 33.2 × ? − 12 = 32
  34. 34.9 × ? − 27 = 189
  35. 35.I think of a number, multiply it by 2 and then take away 21. The answer is 21. What is my number?
  36. 36.Solve for x: 3(x + 2) = x + 44. What is x?
  37. 37.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹14 more than a pencil. 3 pens and 5 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 13 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  40. 40.2 × ? + 1 = 47

Answer key

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

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