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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 499 · 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.The sum of three consecutive whole numbers is 45. What is the smallest of them?
  2. 2.The length of a rectangle is 8 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  3. 3.A father is 16 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  4. 4.The sum of four consecutive whole numbers is 154. What is the smallest of them?
  5. 5.Solve: 9y + 4 = 2y + 102. What is y?
  6. 6.Solve: 5(n − 2) = 3n + 8. What is n?
  7. 7.The sum of four consecutive whole numbers is 26. What is the smallest of them?
  8. 8.The sum of two consecutive whole numbers is 113. What is the largest of them?
  9. 9.Solve: p/5 + p/6 = 33. What is p?
  10. 10.The sum of four consecutive whole numbers is 206. What is the smallest of them?
  11. 11.Solve: 3(t − 1) = t + 5. What is t?
  12. 12.Solve: 5t + 13 = 2t + 37. What is t?
  13. 13.The sum of three consecutive whole numbers is 183. What is the largest of them?
  14. 14.Solve: x/2 + x/5 = 28. What is x?
  15. 15.The length of a rectangle is 12 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
  16. 16.Solve: n/5 + n/6 = 11. What is n?
  17. 17.Solve: 7n + 4 = 5n + 8. What is n?
  18. 18.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  19. 19.Solve: m/3 + m/4 = 35. What is m?
  20. 20.The length of a rectangle is 10 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  21. 21.The sum of four consecutive whole numbers is 238. What is the smallest of them?
  22. 22.The length of a rectangle is 7 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  23. 23.Solve: x/4 + x/6 = 10. What is x?
  24. 24.A father is 9 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?
  25. 25.Solve: n/4 + n/3 = 49. What is n?
  26. 26.Solve: 7m + 18 = 4m + 24. What is m?
  27. 27.Solve: 5(y − 2) = 3y + 18. What is y?
  28. 28.Solve: y/2 + y/6 = 32. What is y?
  29. 29.Solve: 5(t − 1) = t + 15. What is t?
  30. 30.Solve: 6(y − 2) = 3y + 30. What is y?
  31. 31.Solve: m/5 + m/2 = 49. What is m?
  32. 32.The sum of three consecutive whole numbers is 183. What is the smallest of them?
  33. 33.Solve: 4(m − 2) = 3m + 8. What is m?
  34. 34.Solve: 4t + 8 = 3t + 23. What is t?
  35. 35.Solve: 8n + 7 = 3n + 22. What is n?
  36. 36.Solve: 7y + 18 = y + 108. What is y?
  37. 37.The length of a rectangle is 6 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  38. 38.Solve: 8x + 19 = 2x + 49. What is x?
  39. 39.The sum of four consecutive whole numbers is 98. What is the smallest of them?
  40. 40.Solve: p/3 + p/2 = 40. What is p?

Answer key

  1. 14
  2. 6
  3. 10
  4. 37
  5. 14
  6. 9
  7. 5
  8. 57
  9. 90
  10. 50
  11. 4
  12. 8
  13. 62
  14. 40
  15. 29
  16. 30
  17. 2
  18. 9
  19. 60
  20. 6
  21. 58
  22. 16
  23. 24
  24. 2
  25. 84
  26. 2
  27. 14
  28. 48
  29. 5
  30. 14
  31. 70
  32. 60
  33. 16
  34. 15
  35. 3
  36. 15
  37. 7
  38. 5
  39. 23
  40. 48

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