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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 481 · 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 sum of two consecutive whole numbers is 117. What is the smallest of them?
  2. 2.Solve: m/2 + m/3 = 20. What is m?
  3. 3.The sum of two consecutive whole numbers is 31. What is the largest of them?
  4. 4.Solve: 5t + 10 = 2t + 19. What is t?
  5. 5.Solve: 7x + 20 = x + 98. What is x?
  6. 6.Solve: 5t + 2 = t + 18. What is t?
  7. 7.A father is 12 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  8. 8.A father is 10 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  9. 9.Solve: 5(y − 1) = 3y + 9. What is y?
  10. 10.Solve: x/4 + x/3 = 35. What is x?
  11. 11.Solve: 7n + 16 = 5n + 20. What is n?
  12. 12.The sum of four consecutive whole numbers is 194. What is the smallest of them?
  13. 13.Solve: 4(t − 2) = 3t + 6. What is t?
  14. 14.The sum of two consecutive whole numbers is 41. What is the largest of them?
  15. 15.Solve: x/6 + x/5 = 77. What is x?
  16. 16.The length of a rectangle is 11 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  17. 17.The sum of two consecutive whole numbers is 37. What is the largest of them?
  18. 18.Solve: x/3 + x/5 = 56. What is x?
  19. 19.Solve: 6x + 13 = 4x + 39. What is x?
  20. 20.Solve: y/6 + y/2 = 32. What is y?
  21. 21.Solve: 6m + 3 = 5m + 8. What is m?
  22. 22.The sum of two consecutive whole numbers is 15. What is the largest of them?
  23. 23.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  24. 24.Solve: t/3 + t/2 = 5. What is t?
  25. 25.Solve: y/5 + y/3 = 8. What is y?
  26. 26.Solve: 5m + 4 = 3m + 6. What is m?
  27. 27.The sum of two consecutive whole numbers is 57. What is the largest of them?
  28. 28.Solve: p/2 + p/4 = 9. What is p?
  29. 29.Solve: m/4 + m/3 = 42. What is m?
  30. 30.Solve: 4m + 14 = 3m + 25. What is m?
  31. 31.Solve: 4(y − 3) = y + 3. What is y?
  32. 32.Solve: y/2 + y/3 = 30. What is y?
  33. 33.Solve: x/4 + x/2 = 3. What is x?
  34. 34.Solve: 6(t − 2) = t + 13. What is t?
  35. 35.The sum of four consecutive whole numbers is 210. What is the largest of them?
  36. 36.Solve: 6t + 4 = t + 49. What is t?
  37. 37.Solve: m/2 + m/6 = 20. What is m?
  38. 38.A father is 16 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?
  39. 39.Solve: 4t + 9 = t + 24. What is t?
  40. 40.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 58
  2. 24
  3. 16
  4. 3
  5. 13
  6. 4
  7. 7
  8. 2
  9. 7
  10. 60
  11. 2
  12. 47
  13. 14
  14. 21
  15. 210
  16. 8
  17. 19
  18. 105
  19. 13
  20. 48
  21. 5
  22. 8
  23. 8
  24. 6
  25. 15
  26. 1
  27. 29
  28. 12
  29. 72
  30. 11
  31. 5
  32. 36
  33. 4
  34. 5
  35. 54
  36. 9
  37. 30
  38. 4
  39. 5
  40. 7

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