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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 906 · 40 sums
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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: 4p + 14 = 3p + 17. What is p?
  2. 2.A father is 33 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  3. 3.Solve: n/6 + n/5 = 55. What is n?
  4. 4.Solve: t/3 + t/6 = 6. What is t?
  5. 5.The sum of four consecutive whole numbers is 98. What is the smallest of them?
  6. 6.The sum of three consecutive whole numbers is 174. What is the largest of them?
  7. 7.Solve: 6(y − 4) = 3y + 24. What is y?
  8. 8.Solve: p/3 + p/4 = 7. What is p?
  9. 9.Solve: m/6 + m/5 = 22. What is m?
  10. 10.A father is 7 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  11. 11.Solve: m/4 + m/3 = 56. What is m?
  12. 12.The sum of three consecutive whole numbers is 150. What is the smallest of them?
  13. 13.The sum of three consecutive whole numbers is 117. What is the largest of them?
  14. 14.The sum of three consecutive whole numbers is 30. What is the smallest of them?
  15. 15.Solve: t/5 + t/2 = 49. What is t?
  16. 16.The length of a rectangle is 4 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  17. 17.Solve: 7p + 4 = 6p + 14. What is p?
  18. 18.Solve: 8m + 16 = 7m + 28. What is m?
  19. 19.Solve: 8p + 2 = 3p + 22. What is p?
  20. 20.Solve: 6(p − 2) = 2p + 52. What is p?
  21. 21.The length of a rectangle is 12 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  22. 22.Solve: x/6 + x/4 = 5. What is x?
  23. 23.Solve: x/3 + x/4 = 21. What is x?
  24. 24.A father is 30 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?
  25. 25.The length of a rectangle is 7 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  26. 26.The sum of four consecutive whole numbers is 82. What is the largest of them?
  27. 27.Solve: 4(t − 4) = t + 29. What is t?
  28. 28.The sum of three consecutive whole numbers is 48. What is the smallest of them?
  29. 29.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  30. 30.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?
  31. 31.Solve: 4y + 2 = y + 41. What is y?
  32. 32.Solve: 6n + 7 = 5n + 12. What is n?
  33. 33.Solve: 4(x − 1) = 3x + 11. What is x?
  34. 34.Solve: p/5 + p/2 = 42. What is p?
  35. 35.Solve: 3(n − 2) = 2n + 7. What is n?
  36. 36.The length of a rectangle is 11 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  37. 37.Solve: x/3 + x/5 = 40. What is x?
  38. 38.Solve: 5(p − 2) = 2p + 2. What is p?
  39. 39.The length of a rectangle is 2 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  40. 40.The sum of three consecutive whole numbers is 159. What is the smallest of them?

Answer key

  1. 3
  2. 5
  3. 150
  4. 12
  5. 23
  6. 59
  7. 16
  8. 12
  9. 60
  10. 6
  11. 96
  12. 49
  13. 40
  14. 9
  15. 70
  16. 4
  17. 10
  18. 12
  19. 4
  20. 16
  21. 10
  22. 12
  23. 36
  24. 7
  25. 15
  26. 22
  27. 15
  28. 15
  29. 3
  30. 2
  31. 13
  32. 5
  33. 15
  34. 60
  35. 13
  36. 5
  37. 75
  38. 4
  39. 7
  40. 52

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