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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 621 · 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: 3(n − 5) = 2n + 12. What is n?
  2. 2.Solve: 3t + 5 = t + 17. What is t?
  3. 3.A father is 13 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  4. 4.Solve: 9t + 16 = 4t + 21. What is t?
  5. 5.A father is 22 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  6. 6.Solve: 3m + 14 = 2m + 18. What is m?
  7. 7.Solve: 4(x − 3) = x + 24. What is x?
  8. 8.Solve: 7x + 19 = 2x + 64. What is x?
  9. 9.Solve: t/5 + t/3 = 64. What is t?
  10. 10.The sum of two consecutive whole numbers is 75. What is the largest of them?
  11. 11.The length of a rectangle is 2 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  12. 12.Solve: 4y + 17 = 2y + 19. What is y?
  13. 13.Solve: n/3 + n/6 = 21. What is n?
  14. 14.Solve: t/6 + t/3 = 21. What is t?
  15. 15.The sum of three consecutive whole numbers is 123. What is the smallest of them?
  16. 16.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  17. 17.Solve: 5(m − 1) = 4m + 12. What is m?
  18. 18.Solve: 4n + 14 = n + 59. What is n?
  19. 19.The sum of two consecutive whole numbers is 89. What is the largest of them?
  20. 20.Solve: 3n + 18 = 2n + 20. What is n?
  21. 21.Solve: p/2 + p/3 = 30. What is p?
  22. 22.The sum of four consecutive whole numbers is 166. What is the largest of them?
  23. 23.Solve: p/5 + p/2 = 28. What is p?
  24. 24.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  25. 25.The sum of three consecutive whole numbers is 120. What is the smallest of them?
  26. 26.Solve: 5y + 3 = 2y + 15. What is y?
  27. 27.The sum of three consecutive whole numbers is 78. What is the smallest of them?
  28. 28.Solve: 5(n − 1) = n + 47. What is n?
  29. 29.Solve: 5(t − 4) = t + 16. What is t?
  30. 30.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  31. 31.Solve: 6(x − 3) = x + 12. What is x?
  32. 32.Solve: 3(y − 1) = y + 3. What is y?
  33. 33.Solve: 5(y − 3) = y + 13. What is y?
  34. 34.Solve: 3m + 14 = 2m + 15. What is m?
  35. 35.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  36. 36.The sum of four consecutive whole numbers is 178. What is the largest of them?
  37. 37.The sum of four consecutive whole numbers is 158. What is the largest of them?
  38. 38.Solve: 5(n − 2) = n + 42. What is n?
  39. 39.Solve: 3x + 2 = 2x + 8. What is x?
  40. 40.Solve: 6(t − 3) = 5t + 5. What is t?

Answer key

  1. 27
  2. 6
  3. 7
  4. 1
  5. 6
  6. 4
  7. 12
  8. 9
  9. 120
  10. 38
  11. 25
  12. 1
  13. 42
  14. 42
  15. 40
  16. 2
  17. 17
  18. 15
  19. 45
  20. 2
  21. 36
  22. 43
  23. 40
  24. 4
  25. 39
  26. 4
  27. 25
  28. 13
  29. 9
  30. 6
  31. 6
  32. 3
  33. 7
  34. 1
  35. 6
  36. 46
  37. 41
  38. 13
  39. 6
  40. 23

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