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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 548 · 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.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 11 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  4. 4.2 × ? − 10 = 24
  5. 5.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 6 and then take away 12. The answer is 48. What is my number?
  7. 7.Rahul has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  8. 8.Farhan has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹15 more than a pencil. 5 pens and 8 pencils cost ₹309 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹14 more than a pencil. 2 pens and 8 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 5(x + 7) = x + 87. What is x?
  12. 12.Solve for x: 7(x + 1) = 6x + 20. What is x?
  13. 13.Diya has 28 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  14. 14.Nisha has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 5 and then add 17. The answer is 52. What is my number?
  16. 16.3 × ? + 6 = 78
  17. 17.7 × ? − 21 = 42
  18. 18.A pen costs ₹6 more than a pencil. 6 pens and 3 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  19. 19.2 × ? − 7 = 7
  20. 20.Pooja has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 5(x + 1) = 4x + 11. What is x?
  22. 22.I think of a number, multiply it by 8 and then take away 10. The answer is 94. What is my number?
  23. 23.A pen costs ₹11 more than a pencil. 2 pens and 6 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 4 and then add 7. The answer is 119. What is my number?
  25. 25.Solve for x: 8(x + 4) = 2x + 128. What is x?
  26. 26.10 × ? + 6 = 246
  27. 27.Solve for x: 4(x + 7) = x + 79. What is x?
  28. 28.A pen costs ₹15 more than a pencil. 4 pens and 7 pencils cost ₹181 in all. What does one pencil cost (in ₹)?
  29. 29.Aarav has 26 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 6 and then take away 14. The answer is 124. What is my number?
  31. 31.A pen costs ₹11 more than a pencil. 3 pens and 5 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 9(x + 2) = 8x + 35. What is x?
  33. 33.A pen costs ₹9 more than a pencil. 5 pens and 8 pencils cost ₹253 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 4 and then add 30. The answer is 134. What is my number?
  36. 36.Solve for x: 9(x + 2) = 8x + 34. What is x?
  37. 37.Ishaan has 24 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹7 more than a pencil. 2 pens and 2 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  39. 39.4 × ? − 16 = 28
  40. 40.Solve for x: 3(x + 7) = 2x + 27. What is x?

Answer key

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

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