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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 728 · 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: 8n + 11 = 3n + 61. What is n?
  2. 2.The sum of two consecutive whole numbers is 79. What is the smallest of them?
  3. 3.The length of a rectangle is 11 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  4. 4.A father is 33 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?
  5. 5.Solve: 3(y − 5) = 2y + 8. What is y?
  6. 6.Solve: 7x + 3 = 2x + 13. What is x?
  7. 7.The length of a rectangle is 1 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  8. 8.Solve: 6p + 1 = 4p + 13. What is p?
  9. 9.The sum of two consecutive whole numbers is 69. What is the smallest of them?
  10. 10.Solve: 3(p − 3) = p + 1. What is p?
  11. 11.Solve: 4y + 11 = y + 29. What is y?
  12. 12.Solve: p/4 + p/6 = 15. What is p?
  13. 13.The length of a rectangle is 3 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  14. 14.Solve: 4y + 16 = 3y + 27. What is y?
  15. 15.A father is 7 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  16. 16.Solve: 3(y − 5) = 2y + 7. What is y?
  17. 17.The sum of four consecutive whole numbers is 154. What is the largest of them?
  18. 18.Solve: n/5 + n/2 = 28. What is n?
  19. 19.The sum of two consecutive whole numbers is 99. What is the largest of them?
  20. 20.The length of a rectangle is 1 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  21. 21.Solve: 6n + 1 = n + 46. What is n?
  22. 22.Solve: 7n + 4 = 6n + 8. What is n?
  23. 23.Solve: 3m + 20 = 2m + 33. What is m?
  24. 24.Solve: 5(p − 4) = 4p + 4. What is p?
  25. 25.The length of a rectangle is 4 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  26. 26.Solve: 3(y − 4) = 2y + 12. What is y?
  27. 27.Solve: 5(y − 3) = 2y + 12. What is y?
  28. 28.The length of a rectangle is 10 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  29. 29.Solve: 4n + 5 = 3n + 15. What is n?
  30. 30.Solve: 4(y − 4) = y + 23. What is y?
  31. 31.Solve: 5m + 9 = 4m + 17. What is m?
  32. 32.Solve: 3(x − 3) = 2x + 6. What is x?
  33. 33.Solve: y/3 + y/5 = 8. What is y?
  34. 34.Solve: 6(t − 4) = 3t + 30. What is t?
  35. 35.Solve: y/4 + y/3 = 42. What is y?
  36. 36.Solve: 5t + 7 = 2t + 25. What is t?
  37. 37.Solve: 9y + 12 = 3y + 30. What is y?
  38. 38.The sum of three consecutive whole numbers is 87. What is the largest of them?
  39. 39.Solve: 7y + 2 = 6y + 10. What is y?
  40. 40.Solve: m/5 + m/2 = 14. What is m?

Answer key

  1. 10
  2. 39
  3. 22
  4. 3
  5. 23
  6. 2
  7. 9
  8. 6
  9. 34
  10. 5
  11. 6
  12. 36
  13. 19
  14. 11
  15. 2
  16. 22
  17. 40
  18. 40
  19. 50
  20. 5
  21. 9
  22. 4
  23. 13
  24. 24
  25. 19
  26. 24
  27. 9
  28. 16
  29. 10
  30. 13
  31. 8
  32. 15
  33. 15
  34. 18
  35. 72
  36. 6
  37. 3
  38. 30
  39. 8
  40. 20

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