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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 542 · 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.The length of a rectangle is 4 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  2. 2.Solve for x: 8(x + 1) = 6x + 10. What is x?
  3. 3.The length of a rectangle is 8 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  4. 4.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹7 more than a pencil. 4 pens and 2 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 5 and then add 14. The answer is 69. What is my number?
  7. 7.Meera has 23 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 8 and then take away 24. The answer is 200. What is my number?
  9. 9.Karan has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  10. 10.9 × ? + 1 = 154
  11. 11.I think of a number, multiply it by 3 and then take away 37. The answer is 26. What is my number?
  12. 12.Diya has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  15. 15.Solve for x: 7(x + 6) = 5x + 48. What is x?
  16. 16.2 × ? + 18 = 34
  17. 17.8 × ? + 18 = 154
  18. 18.I think of a number, multiply it by 7 and then add 13. The answer is 83. What is my number?
  19. 19.9 × ? − 8 = 46
  20. 20.I think of a number, multiply it by 5 and then take away 39. The answer is 76. What is my number?
  21. 21.7 × ? + 27 = 202
  22. 22.12 × ? + 2 = 158
  23. 23.Arjun has 19 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  24. 24.4 × ? + 5 = 17
  25. 25.Solve for x: 9(x + 7) = 8x + 77. What is x?
  26. 26.I think of a number, multiply it by 2 and then take away 14. The answer is 6. What is my number?
  27. 27.A pen costs ₹4 more than a pencil. 2 pens and 7 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  28. 28.4 × ? + 24 = 44
  29. 29.A pen costs ₹5 more than a pencil. 5 pens and 3 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  30. 30.Solve for x: 4(x + 9) = x + 72. What is x?
  31. 31.7 × ? − 11 = 136
  32. 32.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 4 and then add 7. The answer is 47. What is my number?
  34. 34.Solve for x: 8(x + 4) = x + 116. What is x?
  35. 35.11 × ? + 16 = 93
  36. 36.A pen costs ₹5 more than a pencil. 4 pens and 3 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  37. 37.12 × ? + 21 = 225
  38. 38.I think of a number, multiply it by 3 and then add 32. The answer is 89. What is my number?
  39. 39.The length of a rectangle is 8 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?

Answer key

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

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