← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 941 · 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 two consecutive whole numbers is 41. What is the smallest of them?
  2. 2.Solve: 9p + 5 = 2p + 12. What is p?
  3. 3.The length of a rectangle is 5 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  4. 4.The length of a rectangle is 6 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  5. 5.Solve: 9n + 10 = n + 74. What is n?
  6. 6.Solve: x/4 + x/6 = 20. What is x?
  7. 7.Solve: x/2 + x/4 = 12. What is x?
  8. 8.The sum of four consecutive whole numbers is 234. What is the smallest of them?
  9. 9.Solve: 3y + 12 = 2y + 15. What is y?
  10. 10.Solve: 5(x − 2) = x + 6. What is x?
  11. 11.Solve: 6t + 2 = 4t + 4. What is t?
  12. 12.Solve: 9m + 10 = m + 98. What is m?
  13. 13.Solve: 6(x − 2) = 3x + 3. What is x?
  14. 14.The length of a rectangle is 13 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  15. 15.The sum of four consecutive whole numbers is 50. What is the smallest of them?
  16. 16.The length of a rectangle is 12 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  17. 17.Solve: 7n + 5 = 5n + 9. What is n?
  18. 18.A father is 16 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?
  19. 19.Solve: y/2 + y/5 = 14. What is y?
  20. 20.Solve: 8x + 7 = 2x + 55. What is x?
  21. 21.Solve: 5(t − 3) = 2t + 30. What is t?
  22. 22.Solve: 4(y − 5) = 2y + 20. What is y?
  23. 23.The length of a rectangle is 1 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  24. 24.Solve: x/2 + x/6 = 32. What is x?
  25. 25.Solve: 8t + 1 = 4t + 37. What is t?
  26. 26.A father is 14 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  27. 27.Solve: 5(m − 2) = 3m + 20. What is m?
  28. 28.Solve: 7p + 3 = 3p + 35. What is p?
  29. 29.Solve: y/6 + y/5 = 11. What is y?
  30. 30.Solve: 7t + 2 = t + 8. What is t?
  31. 31.A father is 18 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  32. 32.Solve: 3x + 6 = 2x + 19. What is x?
  33. 33.Solve: 8p + 9 = 2p + 45. What is p?
  34. 34.Solve: p/5 + p/2 = 7. What is p?
  35. 35.The length of a rectangle is 7 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  36. 36.Solve: 3t + 11 = t + 29. What is t?
  37. 37.Solve: 5(p − 3) = p + 33. What is p?
  38. 38.The sum of three consecutive whole numbers is 111. What is the smallest of them?
  39. 39.Solve: 3(y − 3) = 2y + 13. What is y?
  40. 40.The length of a rectangle is 7 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?

Answer key

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

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets