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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 695 · 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 3 and then take away 23. The answer is 7. What is my number?
  2. 2.10 × ? + 6 = 126
  3. 3.I think of a number, multiply it by 6 and then add 26. The answer is 152. What is my number?
  4. 4.I think of a number, multiply it by 4 and then add 40. The answer is 160. What is my number?
  5. 5.A pen costs ₹12 more than a pencil. 4 pens and 5 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹9 more than a pencil. 5 pens and 6 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  8. 8.Solve for x: 8(x + 4) = x + 39. What is x?
  9. 9.2 × ? + 24 = 68
  10. 10.Priya has 25 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  11. 11.Nisha has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 13 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 7 and then add 17. The answer is 87. What is my number?
  14. 14.12 × ? − 14 = 214
  15. 15.12 × ? − 24 = 96
  16. 16.The length of a rectangle is 12 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  17. 17.Manav has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  18. 18.4 × ? − 13 = 39
  19. 19.4 × ? − 7 = 73
  20. 20.7 × ? + 6 = 62
  21. 21.Solve for x: 6(x + 2) = x + 52. What is x?
  22. 22.Rahul has 29 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  23. 23.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  24. 24.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  25. 25.12 × ? + 13 = 253
  26. 26.Solve for x: 5(x + 8) = 2x + 85. What is x?
  27. 27.Sneha has 21 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 3 and then add 8. The answer is 65. What is my number?
  29. 29.I think of a number, multiply it by 3 and then take away 30. The answer is 39. What is my number?
  30. 30.9 × ? + 6 = 195
  31. 31.A pen costs ₹12 more than a pencil. 6 pens and 7 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  33. 33.Kavya has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 10 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 3 and then add 6. The answer is 12. What is my number?
  36. 36.7 × ? + 30 = 198
  37. 37.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹270 in all. What does one pencil cost (in ₹)?
  38. 38.3 × ? − 3 = 33
  39. 39.Saanvi has 25 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹15 more than a pencil. 3 pens and 4 pencils cost ₹157 in all. What does one pencil cost (in ₹)?

Answer key

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

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