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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 441 · 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: n/2 + n/4 = 3. What is n?
  2. 2.The sum of two consecutive whole numbers is 93. What is the largest of them?
  3. 3.The length of a rectangle is 1 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  4. 4.Solve: n/4 + n/6 = 15. What is n?
  5. 5.Solve: 4n + 11 = n + 47. What is n?
  6. 6.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?
  7. 7.The sum of three consecutive whole numbers is 135. What is the smallest of them?
  8. 8.Solve: 3(t − 2) = t + 2. What is t?
  9. 9.The length of a rectangle is 13 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  10. 10.Solve: 9y + 14 = 8y + 23. What is y?
  11. 11.Solve: 9m + 5 = 5m + 21. What is m?
  12. 12.Solve: 8n + 16 = 3n + 81. What is n?
  13. 13.Solve: 4(p − 2) = 3p + 8. What is p?
  14. 14.Solve: 7n + 1 = 4n + 19. What is n?
  15. 15.Solve: 8n + 8 = 2n + 38. What is n?
  16. 16.The sum of three consecutive whole numbers is 177. What is the largest of them?
  17. 17.The length of a rectangle is 3 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  18. 18.Solve: n/2 + n/5 = 28. What is n?
  19. 19.A father is 24 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?
  20. 20.Solve: 7p + 4 = 2p + 39. What is p?
  21. 21.Solve: 3n + 1 = 2n + 5. What is n?
  22. 22.Solve: 4(p − 1) = p + 26. What is p?
  23. 23.A father is 30 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  24. 24.Solve: 5m + 13 = 2m + 19. What is m?
  25. 25.The length of a rectangle is 3 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  26. 26.The length of a rectangle is 11 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  27. 27.Solve: n/4 + n/2 = 3. What is n?
  28. 28.Solve: 6(t − 2) = t + 58. What is t?
  29. 29.Solve: 6x + 15 = 3x + 27. What is x?
  30. 30.Solve: t/3 + t/4 = 42. What is t?
  31. 31.Solve: 4(m − 3) = 2m + 22. What is m?
  32. 32.The sum of three consecutive whole numbers is 99. What is the largest of them?
  33. 33.Solve: 8m + 14 = m + 105. What is m?
  34. 34.A father is 9 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  35. 35.Solve: 3(m − 3) = 2m + 10. What is m?
  36. 36.The sum of three consecutive whole numbers is 51. What is the smallest of them?
  37. 37.Solve: 5p + 4 = 4p + 9. What is p?
  38. 38.A father is 28 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  39. 39.Solve: 3(n − 3) = n + 13. What is n?
  40. 40.The sum of three consecutive whole numbers is 183. What is the largest of them?

Answer key

  1. 4
  2. 47
  3. 28
  4. 36
  5. 12
  6. 12
  7. 44
  8. 4
  9. 19
  10. 9
  11. 4
  12. 13
  13. 16
  14. 6
  15. 5
  16. 60
  17. 22
  18. 40
  19. 2
  20. 7
  21. 4
  22. 10
  23. 8
  24. 2
  25. 27
  26. 17
  27. 4
  28. 14
  29. 4
  30. 72
  31. 17
  32. 34
  33. 13
  34. 4
  35. 19
  36. 16
  37. 5
  38. 7
  39. 11
  40. 62

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