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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 417 · 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(m − 2) = 2m + 4. What is m?
  2. 2.Solve: 8n + 3 = 3n + 43. What is n?
  3. 3.Solve: 6(y − 2) = 2y + 12. What is y?
  4. 4.The sum of two consecutive whole numbers is 49. What is the largest of them?
  5. 5.Solve: 3(y − 3) = y + 23. What is y?
  6. 6.A father is 40 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?
  7. 7.Solve: 4(m − 4) = 3m + 8. What is m?
  8. 8.The length of a rectangle is 15 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  9. 9.Solve: 8t + 18 = 5t + 63. What is t?
  10. 10.Solve: n/5 + n/3 = 32. What is n?
  11. 11.A father is 12 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  12. 12.A father is 17 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  13. 13.Solve: 4x + 12 = 2x + 28. What is x?
  14. 14.Solve: x/6 + x/4 = 30. What is x?
  15. 15.The length of a rectangle is 6 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  16. 16.The sum of two consecutive whole numbers is 27. What is the smallest of them?
  17. 17.Solve: 9p + 5 = p + 69. What is p?
  18. 18.The length of a rectangle is 1 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  19. 19.The sum of two consecutive whole numbers is 115. What is the smallest of them?
  20. 20.Solve: n/4 + n/3 = 49. What is n?
  21. 21.The length of a rectangle is 7 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  22. 22.Solve: y/4 + y/6 = 20. What is y?
  23. 23.The length of a rectangle is 1 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  24. 24.Solve: 6m + 17 = 4m + 27. What is m?
  25. 25.The sum of three consecutive whole numbers is 51. What is the smallest of them?
  26. 26.Solve: 3(m − 1) = m + 11. What is m?
  27. 27.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  28. 28.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  29. 29.Solve: 5t + 16 = t + 44. What is t?
  30. 30.A father is 28 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  31. 31.Solve: p/6 + p/4 = 40. What is p?
  32. 32.The sum of three consecutive whole numbers is 66. What is the smallest of them?
  33. 33.Solve: 3(p − 3) = 2p + 1. What is p?
  34. 34.Solve: p/2 + p/4 = 12. What is p?
  35. 35.Solve: 5(x − 5) = 2x + 5. What is x?
  36. 36.A father is 8 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  37. 37.The sum of four consecutive whole numbers is 98. What is the smallest of them?
  38. 38.Solve: p/3 + p/2 = 10. What is p?
  39. 39.Solve: 3(t − 3) = 2t + 4. What is t?
  40. 40.Solve: 6n + 5 = n + 75. What is n?

Answer key

  1. 10
  2. 8
  3. 6
  4. 25
  5. 16
  6. 12
  7. 24
  8. 10
  9. 15
  10. 60
  11. 5
  12. 10
  13. 8
  14. 72
  15. 9
  16. 13
  17. 8
  18. 5
  19. 57
  20. 84
  21. 7
  22. 48
  23. 29
  24. 5
  25. 16
  26. 7
  27. 2
  28. 2
  29. 7
  30. 8
  31. 96
  32. 21
  33. 10
  34. 16
  35. 10
  36. 3
  37. 23
  38. 12
  39. 13
  40. 14

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