← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 22 · 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: 4(t − 3) = t + 21. What is t?
  2. 2.Solve: 4m + 7 = 2m + 19. What is m?
  3. 3.Solve: t/6 + t/5 = 11. What is t?
  4. 4.Solve: 6m + 5 = m + 60. What is m?
  5. 5.Solve: 8n + 18 = 4n + 74. What is n?
  6. 6.The length of a rectangle is 5 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  7. 7.Solve: 6m + 3 = m + 28. What is m?
  8. 8.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  9. 9.The sum of two consecutive whole numbers is 33. What is the smallest of them?
  10. 10.The length of a rectangle is 4 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  11. 11.The sum of two consecutive whole numbers is 53. What is the smallest of them?
  12. 12.Solve: 7m + 4 = 3m + 52. What is m?
  13. 13.The sum of three consecutive whole numbers is 27. What is the largest of them?
  14. 14.The length of a rectangle is 15 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  15. 15.The sum of two consecutive whole numbers is 71. What is the largest of them?
  16. 16.The sum of three consecutive whole numbers is 54. What is the smallest of them?
  17. 17.Solve: 8y + 10 = 3y + 40. What is y?
  18. 18.The length of a rectangle is 3 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  19. 19.The length of a rectangle is 6 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  20. 20.Solve: 8x + 4 = 5x + 10. What is x?
  21. 21.A father is 12 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  22. 22.Solve: y/3 + y/2 = 30. What is y?
  23. 23.Solve: 6(p − 1) = 5p + 2. What is p?
  24. 24.Solve: n/5 + n/6 = 66. What is n?
  25. 25.Solve: x/4 + x/5 = 63. What is x?
  26. 26.Solve: x/2 + x/4 = 18. What is x?
  27. 27.Solve: m/2 + m/4 = 12. What is m?
  28. 28.The sum of three consecutive whole numbers is 171. What is the largest of them?
  29. 29.Solve: x/6 + x/2 = 4. What is x?
  30. 30.The sum of three consecutive whole numbers is 30. What is the largest of them?
  31. 31.Solve: 5(p − 1) = 2p + 25. What is p?
  32. 32.Solve: 6n + 19 = 5n + 32. What is n?
  33. 33.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  34. 34.The length of a rectangle is 4 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  35. 35.The sum of two consecutive whole numbers is 15. What is the smallest of them?
  36. 36.The length of a rectangle is 5 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  37. 37.The sum of two consecutive whole numbers is 35. What is the largest of them?
  38. 38.The length of a rectangle is 10 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  39. 39.Solve: x/3 + x/6 = 15. What is x?
  40. 40.Solve: 6(p − 1) = p + 49. What is p?

Answer key

  1. 11
  2. 6
  3. 30
  4. 11
  5. 14
  6. 25
  7. 5
  8. 6
  9. 16
  10. 9
  11. 26
  12. 12
  13. 10
  14. 3
  15. 36
  16. 17
  17. 6
  18. 15
  19. 23
  20. 2
  21. 8
  22. 36
  23. 8
  24. 180
  25. 140
  26. 24
  27. 16
  28. 58
  29. 6
  30. 11
  31. 10
  32. 13
  33. 10
  34. 28
  35. 7
  36. 16
  37. 18
  38. 17
  39. 30
  40. 11

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