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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 416 · 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: 4p + 11 = p + 35. What is p?
  2. 2.Solve: x/3 + x/6 = 9. What is x?
  3. 3.Solve: 3x + 13 = 2x + 16. What is x?
  4. 4.The length of a rectangle is 12 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  5. 5.Solve: 5(x − 5) = 4x + 13. What is x?
  6. 6.Solve: 5(x − 4) = 2x + 10. What is x?
  7. 7.Solve: t/5 + t/2 = 28. What is t?
  8. 8.The sum of three consecutive whole numbers is 54. What is the largest of them?
  9. 9.Solve: t/5 + t/2 = 7. What is t?
  10. 10.The sum of two consecutive whole numbers is 89. What is the smallest of them?
  11. 11.Solve: 4(t − 2) = 2t + 22. What is t?
  12. 12.The length of a rectangle is 5 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  13. 13.Solve: 5x + 7 = x + 51. What is x?
  14. 14.A father is 21 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  15. 15.Solve: 8y + 4 = 5y + 31. What is y?
  16. 16.Solve: 5(n − 2) = 3n + 2. What is n?
  17. 17.Solve: t/2 + t/4 = 12. What is t?
  18. 18.Solve: 3t + 13 = t + 39. What is t?
  19. 19.Solve: 3(t − 3) = t + 9. What is t?
  20. 20.Solve: 4p + 3 = 2p + 13. What is p?
  21. 21.The sum of two consecutive whole numbers is 101. What is the largest of them?
  22. 22.The sum of two consecutive whole numbers is 25. What is the smallest of them?
  23. 23.The sum of three consecutive whole numbers is 174. What is the smallest of them?
  24. 24.Solve: 6n + 12 = 2n + 28. What is n?
  25. 25.A father is 16 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  26. 26.The sum of two consecutive whole numbers is 67. What is the largest of them?
  27. 27.The sum of two consecutive whole numbers is 103. What is the smallest of them?
  28. 28.Solve: x/5 + x/3 = 16. What is x?
  29. 29.Solve: 8m + 8 = 4m + 16. What is m?
  30. 30.Solve: 7y + 3 = 5y + 13. What is y?
  31. 31.Solve: 9n + 5 = 7n + 27. What is n?
  32. 32.Solve: 5(t − 2) = 4t + 4. What is t?
  33. 33.Solve: 8x + 1 = 2x + 61. What is x?
  34. 34.The sum of two consecutive whole numbers is 65. What is the largest of them?
  35. 35.The sum of three consecutive whole numbers is 117. What is the smallest of them?
  36. 36.Solve: 8m + 14 = 6m + 20. What is m?
  37. 37.A father is 12 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  38. 38.Solve: m/4 + m/6 = 30. What is m?
  39. 39.Solve: 6(y − 4) = 2y + 48. What is y?
  40. 40.Solve: 4(y − 4) = 2y + 4. What is y?

Answer key

  1. 8
  2. 18
  3. 3
  4. 24
  5. 38
  6. 10
  7. 40
  8. 19
  9. 10
  10. 44
  11. 15
  12. 13
  13. 11
  14. 6
  15. 9
  16. 6
  17. 16
  18. 13
  19. 9
  20. 5
  21. 51
  22. 12
  23. 57
  24. 4
  25. 11
  26. 34
  27. 51
  28. 30
  29. 2
  30. 5
  31. 11
  32. 14
  33. 10
  34. 33
  35. 38
  36. 3
  37. 8
  38. 72
  39. 18
  40. 10

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