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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 870 · 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.A pen costs ₹14 more than a pencil. 2 pens and 5 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 7(x + 1) = x + 31. What is x?
  3. 3.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  4. 4.Ananya has 27 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹6 more than a pencil. 5 pens and 2 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  6. 6.6 × ? + 13 = 109
  7. 7.Solve for x: 6(x + 9) = 4x + 70. What is x?
  8. 8.4 × ? − 13 = 19
  9. 9.Solve for x: 3(x + 9) = x + 33. What is x?
  10. 10.8 × ? + 24 = 192
  11. 11.I think of a number, multiply it by 2 and then add 25. The answer is 39. What is my number?
  12. 12.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 2 and then take away 18. The answer is 32. What is my number?
  14. 14.Nisha has 16 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹8 more than a pencil. 5 pens and 2 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 4 and then add 28. The answer is 64. What is my number?
  18. 18.Solve for x: 6(x + 2) = 4x + 44. What is x?
  19. 19.Solve for x: 5(x + 2) = 2x + 16. What is x?
  20. 20.7 × ? − 3 = 88
  21. 21.The length of a rectangle is 6 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  22. 22.9 × ? − 22 = 41
  23. 23.A pen costs ₹7 more than a pencil. 6 pens and 3 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  24. 24.12 × ? + 22 = 310
  25. 25.The length of a rectangle is 12 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  26. 26.A pen costs ₹9 more than a pencil. 4 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 4 and then take away 24. The answer is 24. What is my number?
  29. 29.12 × ? − 6 = 174
  30. 30.11 × ? + 4 = 279
  31. 31.7 × ? + 5 = 68
  32. 32.I think of a number, multiply it by 9 and then take away 34. The answer is 110. What is my number?
  33. 33.A pen costs ₹6 more than a pencil. 6 pens and 3 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  34. 34.12 × ? + 26 = 314
  35. 35.2 × ? + 30 = 42
  36. 36.Solve for x: 5(x + 6) = 4x + 48. What is x?
  37. 37.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  38. 38.2 × ? − 18 = 20
  39. 39.5 × ? + 13 = 58
  40. 40.3 × ? + 21 = 78

Answer key

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

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