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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 115 · 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.Solve for x: 3(x + 5) = x + 17. What is x?
  2. 2.Meera has 19 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 9(x + 6) = 7x + 86. What is x?
  4. 4.A pen costs ₹6 more than a pencil. 2 pens and 7 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 9 and then add 23. The answer is 275. What is my number?
  6. 6.The length of a rectangle is 11 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  7. 7.A pen costs ₹9 more than a pencil. 6 pens and 5 pencils cost ₹252 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 8 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 6 and then add 20. The answer is 68. What is my number?
  10. 10.7 × ? + 17 = 108
  11. 11.2 × ? + 20 = 26
  12. 12.I think of a number, multiply it by 5 and then add 2. The answer is 92. What is my number?
  13. 13.9 × ? − 11 = 178
  14. 14.Nisha has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  15. 15.5 × ? − 27 = 38
  16. 16.11 × ? − 17 = 49
  17. 17.5 × ? + 17 = 142
  18. 18.The length of a rectangle is 13 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  19. 19.10 × ? + 6 = 146
  20. 20.5 × ? + 3 = 18
  21. 21.7 × ? − 17 = 151
  22. 22.Ishaan has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 7(x + 4) = 2x + 83. What is x?
  24. 24.Solve for x: 5(x + 3) = 4x + 24. What is x?
  25. 25.A pen costs ₹8 more than a pencil. 6 pens and 8 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 4 and then add 40. The answer is 88. What is my number?
  27. 27.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 9 and then add 21. The answer is 228. What is my number?
  30. 30.Karan has 28 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  31. 31.10 × ? + 26 = 196
  32. 32.Vivaan has 29 coins, all ₹5 and ₹2 coins, worth ₹130 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹10 more than a pencil. 5 pens and 8 pencils cost ₹258 in all. What does one pencil cost (in ₹)?
  34. 34.Aarav has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 8 and then add 5. The answer is 85. What is my number?
  36. 36.The length of a rectangle is 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 7 and then take away 9. The answer is 166. What is my number?
  38. 38.9 × ? − 20 = 133
  39. 39.A pen costs ₹14 more than a pencil. 5 pens and 8 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  40. 40.Aarav has 23 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?

Answer key

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

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