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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 570 · 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. 1.7 × ? + 7 = 105
  2. 2.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  4. 4.6 × ? − 9 = 33
  5. 5.The length of a rectangle is 13 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  6. 6.11 × ? − 22 = 176
  7. 7.Solve for x: 5(x + 3) = 4x + 17. What is x?
  8. 8.5 × ? + 26 = 91
  9. 9.A pen costs ₹9 more than a pencil. 2 pens and 7 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  10. 10.Farhan has 22 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  11. 11.7 × ? − 20 = 15
  12. 12.I think of a number, multiply it by 7 and then take away 17. The answer is 151. What is my number?
  13. 13.I think of a number, multiply it by 9 and then add 27. The answer is 252. What is my number?
  14. 14.Tara has 29 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 15 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 7 and then take away 24. The answer is 144. What is my number?
  17. 17.Aditya has 25 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹8 more than a pencil. 2 pens and 8 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 5(x + 8) = x + 112. What is x?
  20. 20.8 × ? + 3 = 187
  21. 21.7 × ? + 15 = 64
  22. 22.Solve for x: 4(x + 1) = x + 28. What is x?
  23. 23.I think of a number, multiply it by 3 and then take away 28. The answer is 38. What is my number?
  24. 24.Solve for x: 3(x + 8) = 2x + 41. What is x?
  25. 25.Arjun has 25 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?
  26. 26.10 × ? − 21 = 169
  27. 27.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 8(x + 5) = 5x + 94. What is x?
  29. 29.A pen costs ₹13 more than a pencil. 5 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 13 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  31. 31.Farhan has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  32. 32.Nisha has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 3 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  35. 35.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 11 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  37. 37.Solve for x: 3(x + 7) = 2x + 26. What is x?
  38. 38.I think of a number, multiply it by 7 and then add 8. The answer is 43. What is my number?
  39. 39.2 × ? + 19 = 57
  40. 40.10 × ? + 18 = 228

Answer key

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

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