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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 863 · 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. 1.2 × ? + 6 = 10
  2. 2.Solve for x: 4(x + 5) = 2x + 40. What is x?
  3. 3.Solve for x: 6(x + 1) = x + 36. What is x?
  4. 4.7 × ? − 5 = 121
  5. 5.Farhan has 24 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 9 and then take away 33. The answer is 48. What is my number?
  7. 7.7 × ? − 30 = 33
  8. 8.A pen costs ₹12 more than a pencil. 6 pens and 6 pencils cost ₹312 in all. What does one pencil cost (in ₹)?
  9. 9.2 × ? + 2 = 24
  10. 10.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹113 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 2 and then add 38. The answer is 74. What is my number?
  12. 12.Solve for x: 6(x + 2) = 4x + 14. What is x?
  13. 13.I think of a number, multiply it by 4 and then add 33. The answer is 41. What is my number?
  14. 14.Solve for x: 9(x + 1) = 3x + 111. What is x?
  15. 15.Solve for x: 3(x + 4) = 2x + 29. What is x?
  16. 16.Solve for x: 7(x + 8) = 2x + 131. What is x?
  17. 17.6 × ? + 2 = 86
  18. 18.A pen costs ₹10 more than a pencil. 4 pens and 5 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  19. 19.3 × ? − 6 = 66
  20. 20.I think of a number, multiply it by 8 and then take away 29. The answer is 11. What is my number?
  21. 21.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  25. 25.A pen costs ₹13 more than a pencil. 6 pens and 8 pencils cost ₹344 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 13 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  27. 27.4 × ? + 21 = 29
  28. 28.Solve for x: 6(x + 9) = x + 144. What is x?
  29. 29.Solve for x: 8(x + 2) = 6x + 50. What is x?
  30. 30.Ishaan has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹14 more than a pencil. 4 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  33. 33.3 × ? + 17 = 56
  34. 34.I think of a number, multiply it by 5 and then add 19. The answer is 124. What is my number?
  35. 35.A pen costs ₹13 more than a pencil. 3 pens and 5 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  37. 37.7 × ? − 26 = 107
  38. 38.The length of a rectangle is 8 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  40. 40.Kavya has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?

Answer key

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

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