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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 278 · 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 1 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
  2. 2.A father is 33 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?
  3. 3.The sum of four consecutive whole numbers is 86. What is the largest of them?
  4. 4.Solve: 5(t − 1) = 3t + 5. What is t?
  5. 5.Solve: 4(n − 3) = 3n + 2. What is n?
  6. 6.The length of a rectangle is 2 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  7. 7.Solve: t/5 + t/6 = 44. What is t?
  8. 8.Solve: 7t + 8 = 3t + 20. What is t?
  9. 9.Solve: 5p + 12 = 2p + 36. What is p?
  10. 10.Solve: n/6 + n/5 = 55. What is n?
  11. 11.Solve: 6m + 20 = 5m + 32. What is m?
  12. 12.The sum of four consecutive whole numbers is 62. What is the largest of them?
  13. 13.Solve: n/4 + n/6 = 10. What is n?
  14. 14.Solve: 8x + 3 = x + 87. What is x?
  15. 15.Solve: 8m + 16 = 2m + 58. What is m?
  16. 16.The sum of four consecutive whole numbers is 146. What is the smallest of them?
  17. 17.Solve: 7m + 15 = 4m + 54. What is m?
  18. 18.The length of a rectangle is 14 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  19. 19.The sum of two consecutive whole numbers is 13. What is the smallest of them?
  20. 20.The sum of four consecutive whole numbers is 66. What is the smallest of them?
  21. 21.Solve: 7m + 11 = 6m + 16. What is m?
  22. 22.The length of a rectangle is 5 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  23. 23.Solve: 5p + 12 = p + 52. What is p?
  24. 24.The sum of four consecutive whole numbers is 98. What is the largest of them?
  25. 25.Solve: 3x + 19 = 2x + 20. What is x?
  26. 26.The length of a rectangle is 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  27. 27.The length of a rectangle is 6 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  28. 28.Solve: p/3 + p/4 = 28. What is p?
  29. 29.Solve: p/5 + p/6 = 22. What is p?
  30. 30.The sum of three consecutive whole numbers is 114. What is the largest of them?
  31. 31.Solve: 9p + 14 = p + 46. What is p?
  32. 32.The sum of two consecutive whole numbers is 29. What is the smallest of them?
  33. 33.Solve: n/5 + n/3 = 16. What is n?
  34. 34.Solve: y/2 + y/5 = 42. What is y?
  35. 35.Solve: y/6 + y/5 = 22. What is y?
  36. 36.The sum of two consecutive whole numbers is 83. What is the smallest of them?
  37. 37.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  38. 38.The length of a rectangle is 12 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  39. 39.A father is 36 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?
  40. 40.The length of a rectangle is 15 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?

Answer key

  1. 4
  2. 6
  3. 23
  4. 5
  5. 14
  6. 18
  7. 120
  8. 3
  9. 8
  10. 150
  11. 12
  12. 17
  13. 24
  14. 12
  15. 7
  16. 35
  17. 13
  18. 14
  19. 6
  20. 15
  21. 5
  22. 26
  23. 10
  24. 26
  25. 1
  26. 19
  27. 6
  28. 48
  29. 60
  30. 39
  31. 4
  32. 14
  33. 30
  34. 60
  35. 60
  36. 41
  37. 6
  38. 27
  39. 4
  40. 25

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