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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 303 · 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: 5(n − 2) = 3n + 26. What is n?
  2. 2.Solve: 6y + 8 = 5y + 22. What is y?
  3. 3.Solve: 6(t − 2) = 2t + 8. What is t?
  4. 4.A father is 45 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?
  5. 5.Solve: 5y + 2 = y + 10. What is y?
  6. 6.The length of a rectangle is 5 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  7. 7.Solve: 6(y − 4) = 3y + 33. What is y?
  8. 8.Solve: p/4 + p/2 = 24. What is p?
  9. 9.The sum of two consecutive whole numbers is 55. What is the smallest of them?
  10. 10.Solve: x/4 + x/2 = 15. What is x?
  11. 11.Solve: 5(n − 2) = 4n + 2. What is n?
  12. 12.The length of a rectangle is 7 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  13. 13.Solve: x/4 + x/3 = 21. What is x?
  14. 14.The length of a rectangle is 1 cm more than its width. Its perimeter is 10 cm. What is its width (in cm)?
  15. 15.Solve: x/5 + x/3 = 8. What is x?
  16. 16.Solve: t/3 + t/2 = 20. What is t?
  17. 17.Solve: p/4 + p/2 = 18. What is p?
  18. 18.The sum of three consecutive whole numbers is 42. What is the smallest of them?
  19. 19.Solve: p/3 + p/6 = 6. What is p?
  20. 20.Solve: p/3 + p/2 = 15. What is p?
  21. 21.Solve: 5(x − 2) = 3x + 22. What is x?
  22. 22.A father is 26 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?
  23. 23.The length of a rectangle is 12 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  24. 24.Solve: 4(y − 3) = y + 12. What is y?
  25. 25.Solve: 6(y − 5) = 2y + 14. What is y?
  26. 26.Solve: x/6 + x/4 = 25. What is x?
  27. 27.Solve: 3t + 16 = t + 46. What is t?
  28. 28.The length of a rectangle is 3 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  29. 29.Solve: 4(y − 5) = 3y + 11. What is y?
  30. 30.Solve: 3y + 14 = 2y + 26. What is y?
  31. 31.Solve: 9t + 14 = t + 118. What is t?
  32. 32.Solve: 9t + 5 = 2t + 54. What is t?
  33. 33.A father is 33 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  34. 34.Solve: t/4 + t/5 = 27. What is t?
  35. 35.Solve: 9m + 3 = 8m + 10. What is m?
  36. 36.Solve: 3(p − 4) = p + 16. What is p?
  37. 37.Solve: 4(y − 5) = 3y + 13. What is y?
  38. 38.Solve: 6x + 7 = 3x + 49. What is x?
  39. 39.Solve: y/3 + y/2 = 5. What is y?
  40. 40.Solve: 6(y − 4) = y + 6. What is y?

Answer key

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

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