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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 708 · 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: 3y + 15 = y + 43. What is y?
  2. 2.Solve: 7m + 14 = 5m + 32. What is m?
  3. 3.The sum of two consecutive whole numbers is 87. What is the smallest of them?
  4. 4.Solve: 5(y − 3) = y + 37. What is y?
  5. 5.Solve: m/2 + m/3 = 30. What is m?
  6. 6.Solve: 6(x − 4) = 4x + 4. What is x?
  7. 7.Solve: y/5 + y/4 = 63. What is y?
  8. 8.Solve: 8x + 10 = 3x + 75. What is x?
  9. 9.The sum of four consecutive whole numbers is 234. What is the smallest of them?
  10. 10.Solve: 4(t − 2) = t + 22. What is t?
  11. 11.Solve: 4m + 18 = 2m + 24. What is m?
  12. 12.Solve: 6(n − 1) = 3n + 24. What is n?
  13. 13.Solve: 8n + 2 = 2n + 26. What is n?
  14. 14.The length of a rectangle is 12 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  15. 15.The length of a rectangle is 5 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  16. 16.A father is 36 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  17. 17.The sum of four consecutive whole numbers is 214. What is the smallest of them?
  18. 18.The length of a rectangle is 3 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  19. 19.The length of a rectangle is 1 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  20. 20.Solve: t/5 + t/2 = 14. What is t?
  21. 21.The length of a rectangle is 15 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  22. 22.The sum of four consecutive whole numbers is 46. What is the smallest of them?
  23. 23.Solve: 7p + 5 = 2p + 25. What is p?
  24. 24.Solve: 3y + 12 = 2y + 13. What is y?
  25. 25.Solve: 5(n − 2) = n + 6. What is n?
  26. 26.The length of a rectangle is 3 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
  27. 27.The sum of three consecutive whole numbers is 51. What is the largest of them?
  28. 28.Solve: p/2 + p/4 = 18. What is p?
  29. 29.A father is 13 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  30. 30.Solve: 9y + 3 = 2y + 52. What is y?
  31. 31.Solve: 9m + 19 = 3m + 61. What is m?
  32. 32.The sum of four consecutive whole numbers is 170. What is the smallest of them?
  33. 33.The sum of four consecutive whole numbers is 62. What is the smallest of them?
  34. 34.Solve: m/2 + m/5 = 21. What is m?
  35. 35.The sum of two consecutive whole numbers is 21. What is the largest of them?
  36. 36.The length of a rectangle is 10 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  37. 37.Solve: 7n + 20 = 5n + 30. What is n?
  38. 38.The sum of two consecutive whole numbers is 21. What is the smallest of them?
  39. 39.Solve: 4m + 1 = m + 25. What is m?
  40. 40.Solve: y/4 + y/3 = 14. What is y?

Answer key

  1. 14
  2. 9
  3. 43
  4. 13
  5. 36
  6. 14
  7. 140
  8. 13
  9. 57
  10. 10
  11. 3
  12. 10
  13. 4
  14. 21
  15. 20
  16. 10
  17. 52
  18. 30
  19. 7
  20. 20
  21. 9
  22. 10
  23. 4
  24. 1
  25. 4
  26. 3
  27. 18
  28. 24
  29. 10
  30. 7
  31. 7
  32. 41
  33. 14
  34. 30
  35. 11
  36. 9
  37. 5
  38. 10
  39. 8
  40. 24

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