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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 616 · 40 sums
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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.A father is 18 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  2. 2.A father is 21 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  3. 3.Solve: 3y + 19 = 2y + 28. What is y?
  4. 4.Solve: 6(y − 1) = 3y + 36. What is y?
  5. 5.Solve: 6m + 5 = 2m + 61. What is m?
  6. 6.Solve: 6(n − 5) = n + 50. What is n?
  7. 7.Solve: 9p + 14 = 8p + 27. What is p?
  8. 8.Solve: 4(x − 5) = 2x + 22. What is x?
  9. 9.Solve: 5x + 4 = x + 44. What is x?
  10. 10.Solve: y/4 + y/3 = 14. What is y?
  11. 11.The sum of three consecutive whole numbers is 147. What is the smallest of them?
  12. 12.A father is 45 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  13. 13.Solve: 4(p − 5) = p + 25. What is p?
  14. 14.A father is 12 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  15. 15.Solve: 3(y − 3) = y + 21. What is y?
  16. 16.Solve: 6(x − 3) = 3x + 39. What is x?
  17. 17.The sum of three consecutive whole numbers is 18. What is the largest of them?
  18. 18.Solve: 5x + 19 = 3x + 45. What is x?
  19. 19.Solve: 5y + 8 = 4y + 16. What is y?
  20. 20.The sum of three consecutive whole numbers is 33. What is the smallest of them?
  21. 21.Solve: 6x + 4 = x + 79. What is x?
  22. 22.Solve: 4(m − 2) = 3m + 6. What is m?
  23. 23.Solve: p/4 + p/5 = 9. What is p?
  24. 24.Solve: 5(t − 4) = t + 4. What is t?
  25. 25.Solve: p/5 + p/3 = 56. What is p?
  26. 26.Solve: 7p + 7 = 3p + 23. What is p?
  27. 27.A father is 36 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  28. 28.A father is 14 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  29. 29.Solve: 3t + 17 = t + 19. What is t?
  30. 30.Solve: 3(y − 1) = y + 3. What is y?
  31. 31.The sum of two consecutive whole numbers is 81. What is the largest of them?
  32. 32.The sum of three consecutive whole numbers is 48. What is the largest of them?
  33. 33.Solve: y/6 + y/5 = 33. What is y?
  34. 34.A father is 18 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?
  35. 35.Solve: 8t + 2 = t + 16. What is t?
  36. 36.Solve: p/4 + p/2 = 6. What is p?
  37. 37.Solve: 9m + 19 = 2m + 26. What is m?
  38. 38.The sum of four consecutive whole numbers is 114. What is the smallest of them?
  39. 39.A father is 54 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.Solve: m/3 + m/4 = 56. What is m?

Answer key

  1. 7
  2. 4
  3. 9
  4. 14
  5. 14
  6. 16
  7. 13
  8. 21
  9. 10
  10. 24
  11. 48
  12. 9
  13. 15
  14. 5
  15. 15
  16. 19
  17. 7
  18. 13
  19. 8
  20. 10
  21. 15
  22. 14
  23. 20
  24. 6
  25. 105
  26. 4
  27. 5
  28. 10
  29. 1
  30. 3
  31. 41
  32. 17
  33. 90
  34. 4
  35. 2
  36. 8
  37. 1
  38. 27
  39. 10
  40. 96

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