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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 822 · 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.The length of a rectangle is 2 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  2. 2.Solve: 5(y − 1) = 2y + 31. What is y?
  3. 3.Solve: 3(m − 4) = 2m + 10. What is m?
  4. 4.Solve: 3m + 4 = m + 10. What is m?
  5. 5.Solve: 7y + 11 = y + 23. What is y?
  6. 6.Solve: 5m + 11 = 3m + 19. What is m?
  7. 7.The sum of four consecutive whole numbers is 206. What is the smallest of them?
  8. 8.Solve: 8y + 20 = 7y + 35. What is y?
  9. 9.The sum of two consecutive whole numbers is 67. What is the largest of them?
  10. 10.Solve: p/6 + p/3 = 18. What is p?
  11. 11.A father is 36 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?
  12. 12.The sum of three consecutive whole numbers is 75. What is the smallest of them?
  13. 13.Solve: 3(y − 4) = y + 2. What is y?
  14. 14.Solve: 3(y − 4) = 2y + 10. What is y?
  15. 15.The sum of three consecutive whole numbers is 165. What is the largest of them?
  16. 16.The length of a rectangle is 12 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  17. 17.Solve: x/2 + x/3 = 10. What is x?
  18. 18.The sum of two consecutive whole numbers is 37. What is the smallest of them?
  19. 19.Solve: y/3 + y/4 = 49. What is y?
  20. 20.Solve: 4(x − 1) = x + 14. What is x?
  21. 21.Solve: 4n + 10 = 3n + 24. What is n?
  22. 22.Solve: 6x + 1 = x + 71. What is x?
  23. 23.The sum of three consecutive whole numbers is 153. What is the largest of them?
  24. 24.Solve: 3m + 6 = 2m + 9. What is m?
  25. 25.Solve: 6x + 18 = 3x + 51. What is x?
  26. 26.Solve: 8y + 5 = y + 54. What is y?
  27. 27.Solve: x/5 + x/2 = 49. What is x?
  28. 28.The sum of three consecutive whole numbers is 180. What is the smallest of them?
  29. 29.Solve: 9p + 8 = 7p + 26. What is p?
  30. 30.Solve: 6t + 14 = 2t + 62. What is t?
  31. 31.The sum of two consecutive whole numbers is 81. What is the largest of them?
  32. 32.Solve: 6(t − 2) = 2t + 20. What is t?
  33. 33.Solve: 5(p − 1) = 2p + 31. What is p?
  34. 34.The length of a rectangle is 11 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  35. 35.Solve: 3(x − 2) = 2x + 8. What is x?
  36. 36.Solve: n/2 + n/6 = 12. What is n?
  37. 37.The sum of four consecutive whole numbers is 138. What is the largest of them?
  38. 38.Solve: 6(p − 1) = 2p + 6. What is p?
  39. 39.Solve: 5(x − 2) = x + 46. What is x?
  40. 40.The sum of two consecutive whole numbers is 85. What is the smallest of them?

Answer key

  1. 24
  2. 12
  3. 22
  4. 3
  5. 2
  6. 4
  7. 50
  8. 15
  9. 34
  10. 36
  11. 7
  12. 24
  13. 7
  14. 22
  15. 56
  16. 4
  17. 12
  18. 18
  19. 84
  20. 6
  21. 14
  22. 14
  23. 52
  24. 3
  25. 11
  26. 7
  27. 70
  28. 59
  29. 9
  30. 12
  31. 41
  32. 8
  33. 12
  34. 5
  35. 14
  36. 18
  37. 36
  38. 3
  39. 14
  40. 42

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