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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 413 · 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 6 and then add 22. The answer is 64. What is my number?
  2. 2.I think of a number, multiply it by 9 and then take away 2. The answer is 124. What is my number?
  3. 3.I think of a number, multiply it by 3 and then add 22. The answer is 88. What is my number?
  4. 4.Solve for x: 3(x + 4) = x + 16. What is x?
  5. 5.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 3(x + 4) = x + 34. What is x?
  7. 7.Solve for x: 5(x + 2) = 3x + 14. What is x?
  8. 8.A pen costs ₹6 more than a pencil. 6 pens and 4 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 3(x + 3) = x + 11. What is x?
  10. 10.9 × ? − 4 = 158
  11. 11.Solve for x: 3(x + 2) = x + 26. What is x?
  12. 12.I think of a number, multiply it by 9 and then add 20. The answer is 128. What is my number?
  13. 13.The length of a rectangle is 10 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  14. 14.A pen costs ₹9 more than a pencil. 5 pens and 2 pencils cost ₹178 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹5 more than a pencil. 4 pens and 7 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  16. 16.3 × ? − 11 = 22
  17. 17.I think of a number, multiply it by 8 and then take away 22. The answer is 74. What is my number?
  18. 18.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹181 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 9 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  20. 20.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 2 and then add 4. The answer is 30. What is my number?
  22. 22.I think of a number, multiply it by 3 and then take away 37. The answer is 44. What is my number?
  23. 23.Meera has 15 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 13 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  25. 25.Solve for x: 6(x + 1) = 2x + 14. What is x?
  26. 26.The length of a rectangle is 7 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  27. 27.Solve for x: 3(x + 9) = 2x + 44. What is x?
  28. 28.The length of a rectangle is 9 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  29. 29.11 × ? + 15 = 246
  30. 30.I think of a number, multiply it by 7 and then add 31. The answer is 143. What is my number?
  31. 31.I think of a number, multiply it by 3 and then take away 11. The answer is 16. What is my number?
  32. 32.A pen costs ₹10 more than a pencil. 4 pens and 8 pencils cost ₹280 in all. What does one pencil cost (in ₹)?
  33. 33.Kabir has 20 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  34. 34.Solve for x: 6(x + 5) = x + 80. What is x?
  35. 35.A pen costs ₹7 more than a pencil. 2 pens and 5 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 3(x + 2) = 2x + 12. What is x?
  39. 39.I think of a number, multiply it by 8 and then take away 40. The answer is 136. What is my number?
  40. 40.Ananya has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?

Answer key

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

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