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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 335 · 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: m/3 + m/5 = 8. What is m?
  2. 2.The length of a rectangle is 11 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  3. 3.Solve: m/6 + m/4 = 40. What is m?
  4. 4.Solve: x/6 + x/2 = 24. What is x?
  5. 5.Solve: 5m + 17 = 2m + 62. What is m?
  6. 6.The length of a rectangle is 4 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  7. 7.The sum of four consecutive whole numbers is 122. What is the largest of them?
  8. 8.Solve: x/5 + x/6 = 44. What is x?
  9. 9.The length of a rectangle is 9 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  10. 10.Solve: 3n + 11 = n + 35. What is n?
  11. 11.The sum of four consecutive whole numbers is 154. What is the smallest of them?
  12. 12.Solve: 5(n − 2) = n + 6. What is n?
  13. 13.Solve: 5(n − 5) = n + 51. What is n?
  14. 14.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  15. 15.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?
  16. 16.Solve: 6(x − 5) = x + 15. What is x?
  17. 17.Solve: 9p + 20 = 2p + 41. What is p?
  18. 18.Solve: y/2 + y/4 = 15. What is y?
  19. 19.The sum of three consecutive whole numbers is 30. What is the largest of them?
  20. 20.A father is 48 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  21. 21.Solve: 8p + 17 = p + 59. What is p?
  22. 22.Solve: 3x + 12 = x + 36. What is x?
  23. 23.The length of a rectangle is 7 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  24. 24.Solve: 9m + 19 = 3m + 43. What is m?
  25. 25.Solve: 3x + 17 = x + 27. What is x?
  26. 26.Solve: 5x + 9 = 4x + 19. What is x?
  27. 27.Solve: m/5 + m/3 = 40. What is m?
  28. 28.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  29. 29.Solve: 4(m − 2) = 3m + 4. What is m?
  30. 30.Solve: 4(t − 3) = t + 3. What is t?
  31. 31.The sum of three consecutive whole numbers is 75. What is the smallest of them?
  32. 32.The length of a rectangle is 3 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  33. 33.The length of a rectangle is 10 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  34. 34.The sum of three consecutive whole numbers is 171. What is the largest of them?
  35. 35.Solve: y/5 + y/4 = 54. What is y?
  36. 36.Solve: 4(t − 5) = 3t + 8. What is t?
  37. 37.The length of a rectangle is 8 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  38. 38.Solve: 8x + 17 = 4x + 61. What is x?
  39. 39.Solve: y/2 + y/5 = 35. What is y?
  40. 40.The sum of two consecutive whole numbers is 29. What is the smallest of them?

Answer key

  1. 15
  2. 17
  3. 96
  4. 36
  5. 15
  6. 21
  7. 32
  8. 120
  9. 2
  10. 12
  11. 37
  12. 4
  13. 19
  14. 20
  15. 7
  16. 9
  17. 3
  18. 20
  19. 11
  20. 8
  21. 6
  22. 12
  23. 2
  24. 4
  25. 5
  26. 10
  27. 75
  28. 7
  29. 12
  30. 5
  31. 24
  32. 20
  33. 17
  34. 58
  35. 120
  36. 28
  37. 6
  38. 11
  39. 50
  40. 14

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