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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 641 · 40 sums
TalentJR

The method (Letters one side, numbers the other): Open brackets: a(x − b) = ax − ab. Fractions: multiply both sides by the LCM of the denominators — x/3 + x/4 = 14 → 4x + 3x = 168. Move letter terms to one side and numbers to the other (change the sign when a term crosses =), then divide. Word problems: consecutive numbers are n, n + 1, n + 2 …; ages in y years are age + y.

NameDateTime takenScore ___ / 40
  1. 1.Solve: n/5 + n/3 = 64. What is n?
  2. 2.Solve: 5x + 2 = x + 10. What is x?
  3. 3.A father is 7 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  4. 4.A father is 16 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  5. 5.A father is 34 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  6. 6.Solve: 3(y − 1) = 2y + 11. What is y?
  7. 7.The sum of three consecutive whole numbers is 45. What is the smallest of them?
  8. 8.A father is 39 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  9. 9.Solve: p/5 + p/4 = 18. What is p?
  10. 10.Solve: 6(y − 5) = 4y + 24. What is y?
  11. 11.Solve: 5m + 16 = 2m + 58. What is m?
  12. 12.Solve: 3(n − 4) = n + 26. What is n?
  13. 13.Solve: y/2 + y/3 = 25. What is y?
  14. 14.The length of a rectangle is 9 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  15. 15.The length of a rectangle is 8 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  16. 16.Solve: y/3 + y/4 = 56. What is y?
  17. 17.Solve: y/5 + y/3 = 48. What is y?
  18. 18.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  19. 19.The sum of three consecutive whole numbers is 141. What is the largest of them?
  20. 20.The sum of two consecutive whole numbers is 57. What is the smallest of them?
  21. 21.The length of a rectangle is 11 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  22. 22.Solve: 8p + 16 = 3p + 36. What is p?
  23. 23.The length of a rectangle is 9 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  24. 24.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  25. 25.Solve: 3y + 6 = 2y + 9. What is y?
  26. 26.Solve: 7x + 4 = x + 64. What is x?
  27. 27.A father is 26 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  28. 28.The sum of two consecutive whole numbers is 87. What is the largest of them?
  29. 29.Solve: 3y + 15 = 2y + 26. What is y?
  30. 30.Solve: 3y + 12 = y + 20. What is y?
  31. 31.Solve: 5n + 10 = 3n + 18. What is n?
  32. 32.Solve: x/4 + x/2 = 18. What is x?
  33. 33.Solve: 4(y − 1) = y + 17. What is y?
  34. 34.Solve: 4n + 16 = n + 49. What is n?
  35. 35.Solve: 3(t − 5) = t + 9. What is t?
  36. 36.The sum of three consecutive whole numbers is 63. What is the largest of them?
  37. 37.Solve: 6x + 14 = x + 54. What is x?
  38. 38.The sum of two consecutive whole numbers is 119. What is the smallest of them?
  39. 39.A father is 48 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  40. 40.The sum of three consecutive whole numbers is 144. What is the largest of them?

Answer key

  1. 120
  2. 2
  3. 3
  4. 3
  5. 9
  6. 14
  7. 14
  8. 8
  9. 40
  10. 27
  11. 14
  12. 19
  13. 30
  14. 24
  15. 10
  16. 96
  17. 90
  18. 3
  19. 48
  20. 28
  21. 15
  22. 4
  23. 14
  24. 12
  25. 3
  26. 10
  27. 7
  28. 44
  29. 11
  30. 4
  31. 4
  32. 24
  33. 7
  34. 11
  35. 12
  36. 22
  37. 8
  38. 59
  39. 11
  40. 49

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