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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 871 · 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.A father is 39 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?
  2. 2.Solve: p/3 + p/2 = 30. What is p?
  3. 3.Solve: 6(m − 1) = 4m + 18. What is m?
  4. 4.Solve: n/3 + n/5 = 32. What is n?
  5. 5.Solve: x/3 + x/2 = 5. What is x?
  6. 6.Solve: 3(t − 2) = t + 2. What is t?
  7. 7.Solve: 3p + 19 = p + 43. What is p?
  8. 8.The sum of two consecutive whole numbers is 11. What is the smallest of them?
  9. 9.The length of a rectangle is 8 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  10. 10.The sum of four consecutive whole numbers is 206. What is the smallest of them?
  11. 11.Solve: 9t + 9 = 2t + 30. What is t?
  12. 12.Solve: 6n + 11 = 3n + 26. What is n?
  13. 13.The sum of two consecutive whole numbers is 69. What is the smallest of them?
  14. 14.Solve: y/5 + y/3 = 56. What is y?
  15. 15.The sum of two consecutive whole numbers is 115. What is the largest of them?
  16. 16.The sum of two consecutive whole numbers is 119. What is the largest of them?
  17. 17.Solve: p/4 + p/3 = 49. What is p?
  18. 18.Solve: 6t + 11 = 3t + 29. What is t?
  19. 19.Solve: 5x + 8 = x + 48. What is x?
  20. 20.Solve: 3m + 19 = 2m + 28. What is m?
  21. 21.The sum of two consecutive whole numbers is 63. What is the smallest of them?
  22. 22.The sum of two consecutive whole numbers is 103. What is the largest of them?
  23. 23.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  24. 24.A father is 11 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  25. 25.Solve: 9t + 18 = 2t + 39. What is t?
  26. 26.Solve: 5n + 6 = 2n + 39. What is n?
  27. 27.Solve: 5(m − 4) = 3m + 24. What is m?
  28. 28.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  29. 29.A father is 39 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?
  30. 30.Solve: x/6 + x/2 = 4. What is x?
  31. 31.Solve: t/4 + t/2 = 6. What is t?
  32. 32.A father is 28 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  33. 33.Solve: 3x + 2 = 2x + 9. What is x?
  34. 34.A father is 26 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  35. 35.The length of a rectangle is 15 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
  36. 36.The length of a rectangle is 6 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  37. 37.Solve: 3y + 5 = y + 25. What is y?
  38. 38.Solve: 5(t − 5) = 3t + 21. What is t?
  39. 39.Solve: n/2 + n/3 = 30. What is n?
  40. 40.A father is 36 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?

Answer key

  1. 8
  2. 36
  3. 12
  4. 60
  5. 6
  6. 4
  7. 12
  8. 5
  9. 14
  10. 50
  11. 3
  12. 5
  13. 34
  14. 105
  15. 58
  16. 60
  17. 84
  18. 6
  19. 10
  20. 9
  21. 31
  22. 52
  23. 3
  24. 9
  25. 3
  26. 11
  27. 22
  28. 12
  29. 11
  30. 6
  31. 8
  32. 6
  33. 7
  34. 5
  35. 28
  36. 27
  37. 10
  38. 23
  39. 36
  40. 11

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