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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 285 · 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.A father is 36 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?
  2. 2.Solve: 6(y − 1) = y + 19. What is y?
  3. 3.The sum of four consecutive whole numbers is 154. What is the smallest of them?
  4. 4.The sum of two consecutive whole numbers is 93. What is the smallest of them?
  5. 5.Solve: 3m + 11 = 2m + 25. What is m?
  6. 6.Solve: 8x + 5 = x + 54. What is x?
  7. 7.Solve: 5y + 1 = 2y + 46. What is y?
  8. 8.Solve: 9x + 4 = 5x + 16. What is x?
  9. 9.The sum of four consecutive whole numbers is 198. What is the largest of them?
  10. 10.Solve: 5t + 18 = 2t + 45. What is t?
  11. 11.The length of a rectangle is 7 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  12. 12.Solve: 9y + 8 = 7y + 22. What is y?
  13. 13.Solve: x/6 + x/5 = 88. What is x?
  14. 14.Solve: m/2 + m/3 = 20. What is m?
  15. 15.Solve: n/4 + n/5 = 45. What is n?
  16. 16.The length of a rectangle is 2 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  17. 17.The length of a rectangle is 9 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  18. 18.The sum of four consecutive whole numbers is 190. What is the smallest of them?
  19. 19.A father is 30 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  20. 20.Solve: 4(x − 3) = x + 27. What is x?
  21. 21.Solve: y/4 + y/3 = 49. What is y?
  22. 22.Solve: 5(x − 1) = x + 47. What is x?
  23. 23.Solve: p/5 + p/6 = 66. What is p?
  24. 24.Solve: 3x + 8 = 2x + 21. What is x?
  25. 25.Solve: y/3 + y/2 = 20. What is y?
  26. 26.Solve: 8m + 7 = 4m + 11. What is m?
  27. 27.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  28. 28.The length of a rectangle is 4 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  29. 29.The length of a rectangle is 4 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  30. 30.A father is 22 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  31. 31.Solve: y/6 + y/3 = 9. What is y?
  32. 32.The sum of four consecutive whole numbers is 62. What is the largest of them?
  33. 33.Solve: 5(t − 1) = 3t + 25. What is t?
  34. 34.Solve: p/6 + p/5 = 11. What is p?
  35. 35.Solve: m/3 + m/6 = 3. What is m?
  36. 36.The length of a rectangle is 4 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  37. 37.Solve: x/6 + x/3 = 12. What is x?
  38. 38.Solve: 7y + 19 = 6y + 25. What is y?
  39. 39.Solve: x/3 + x/2 = 10. What is x?
  40. 40.Solve: 3y + 9 = y + 23. What is y?

Answer key

  1. 12
  2. 5
  3. 37
  4. 46
  5. 14
  6. 7
  7. 15
  8. 3
  9. 51
  10. 9
  11. 6
  12. 7
  13. 240
  14. 24
  15. 100
  16. 14
  17. 6
  18. 46
  19. 4
  20. 13
  21. 84
  22. 13
  23. 180
  24. 13
  25. 24
  26. 1
  27. 7
  28. 21
  29. 23
  30. 7
  31. 18
  32. 17
  33. 15
  34. 30
  35. 6
  36. 22
  37. 24
  38. 6
  39. 12
  40. 7

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