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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 889 · 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: 8x + 14 = 6x + 30. What is x?
  2. 2.Solve: 4x + 19 = 3x + 31. What is x?
  3. 3.Solve: 3(p − 4) = p + 22. What is p?
  4. 4.A father is 24 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?
  5. 5.Solve: 9t + 11 = 8t + 26. What is t?
  6. 6.Solve: y/6 + y/2 = 4. What is y?
  7. 7.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  8. 8.Solve: 5m + 11 = m + 51. What is m?
  9. 9.Solve: y/5 + y/4 = 45. What is y?
  10. 10.Solve: 6(y − 3) = 2y + 10. What is y?
  11. 11.Solve: x/6 + x/3 = 18. What is x?
  12. 12.Solve: 5(m − 3) = 2m + 18. What is m?
  13. 13.A father is 21 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?
  14. 14.Solve: 4(p − 4) = p + 8. What is p?
  15. 15.A father is 30 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?
  16. 16.Solve: m/3 + m/5 = 48. What is m?
  17. 17.Solve: x/3 + x/6 = 6. What is x?
  18. 18.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  19. 19.A father is 42 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?
  20. 20.The length of a rectangle is 12 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  21. 21.Solve: 4m + 14 = m + 41. What is m?
  22. 22.Solve: 9n + 9 = 3n + 45. What is n?
  23. 23.The sum of three consecutive whole numbers is 51. What is the smallest of them?
  24. 24.Solve: 6(y − 4) = 2y + 32. What is y?
  25. 25.Solve: 6y + 9 = 2y + 69. What is y?
  26. 26.Solve: 3n + 19 = n + 49. What is n?
  27. 27.Solve: 9y + 16 = 3y + 88. What is y?
  28. 28.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  29. 29.Solve: 9t + 5 = 7t + 9. What is t?
  30. 30.Solve: y/3 + y/6 = 12. What is y?
  31. 31.A father is 18 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?
  32. 32.Solve: 5(n − 2) = 2n + 5. What is n?
  33. 33.Solve: y/2 + y/3 = 20. What is y?
  34. 34.The length of a rectangle is 12 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  35. 35.Solve: t/2 + t/3 = 10. What is t?
  36. 36.The length of a rectangle is 9 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  37. 37.Solve: 5t + 18 = 2t + 48. What is t?
  38. 38.Solve: 4(t − 4) = t + 26. What is t?
  39. 39.Solve: 4m + 17 = 3m + 31. What is m?
  40. 40.Solve: 3(m − 4) = 2m + 7. What is m?

Answer key

  1. 8
  2. 12
  3. 17
  4. 7
  5. 15
  6. 6
  7. 2
  8. 10
  9. 100
  10. 7
  11. 36
  12. 11
  13. 5
  14. 8
  15. 2
  16. 90
  17. 12
  18. 16
  19. 12
  20. 8
  21. 9
  22. 6
  23. 16
  24. 14
  25. 15
  26. 15
  27. 12
  28. 12
  29. 2
  30. 24
  31. 5
  32. 5
  33. 24
  34. 7
  35. 12
  36. 5
  37. 10
  38. 14
  39. 14
  40. 19

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