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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 824 · 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.I think of a number, multiply it by 7 and then add 10. The answer is 206. What is my number?
  2. 2.A pen costs ₹2 more than a pencil. 3 pens and 6 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  3. 3.3 × ? + 7 = 19
  4. 4.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  5. 5.Isha has 22 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  7. 7.5 × ? − 18 = 82
  8. 8.I think of a number, multiply it by 6 and then take away 3. The answer is 63. What is my number?
  9. 9.The length of a rectangle is 7 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  10. 10.Solve for x: 7(x + 9) = 6x + 80. What is x?
  11. 11.2 × ? − 25 = 7
  12. 12.3 × ? + 16 = 91
  13. 13.Solve for x: 6(x + 6) = 5x + 56. What is x?
  14. 14.Kabir has 30 coins, all ₹5 and ₹2 coins, worth ₹147 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  16. 16.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 5 and then add 37. The answer is 142. What is my number?
  18. 18.Solve for x: 8(x + 6) = 5x + 60. What is x?
  19. 19.I think of a number, multiply it by 8 and then add 12. The answer is 140. What is my number?
  20. 20.Solve for x: 9(x + 1) = 6x + 12. What is x?
  21. 21.5 × ? − 6 = 109
  22. 22.Saanvi has 30 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
  23. 23.Dev has 26 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  24. 24.Solve for x: 5(x + 7) = x + 71. What is x?
  25. 25.I think of a number, multiply it by 5 and then add 36. The answer is 91. What is my number?
  26. 26.Solve for x: 7(x + 3) = 2x + 81. What is x?
  27. 27.4 × ? + 21 = 93
  28. 28.I think of a number, multiply it by 5 and then take away 19. The answer is 26. What is my number?
  29. 29.I think of a number, multiply it by 4 and then add 33. The answer is 69. What is my number?
  30. 30.Kavya has 23 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  32. 32.12 × ? − 20 = 28
  33. 33.I think of a number, multiply it by 5 and then take away 6. The answer is 4. What is my number?
  34. 34.Solve for x: 7(x + 2) = 3x + 94. What is x?
  35. 35.I think of a number, multiply it by 8 and then add 28. The answer is 172. What is my number?
  36. 36.I think of a number, multiply it by 9 and then take away 10. The answer is 17. What is my number?
  37. 37.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹15 more than a pencil. 4 pens and 5 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹2 more than a pencil. 4 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 7 and then take away 32. The answer is 80. What is my number?

Answer key

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

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