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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 968 · 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: n/3 + n/5 = 48. What is n?
  2. 2.Solve: 6(x − 1) = 3x + 21. What is x?
  3. 3.The length of a rectangle is 7 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  4. 4.Solve: m/2 + m/5 = 28. What is m?
  5. 5.The sum of four consecutive whole numbers is 202. What is the smallest of them?
  6. 6.Solve: 6(m − 1) = 3m + 12. What is m?
  7. 7.Solve: 6(y − 4) = y + 56. What is y?
  8. 8.The length of a rectangle is 1 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  9. 9.The length of a rectangle is 14 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  10. 10.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  11. 11.The sum of two consecutive whole numbers is 77. What is the largest of them?
  12. 12.A father is 14 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?
  13. 13.The sum of two consecutive whole numbers is 113. What is the smallest of them?
  14. 14.Solve: x/3 + x/6 = 3. What is x?
  15. 15.The sum of two consecutive whole numbers is 27. What is the smallest of them?
  16. 16.The sum of two consecutive whole numbers is 47. What is the largest of them?
  17. 17.Solve: 6y + 12 = 5y + 18. What is y?
  18. 18.Solve: 7y + 11 = 3y + 47. What is y?
  19. 19.Solve: n/2 + n/6 = 16. What is n?
  20. 20.Solve: 6(x − 4) = x + 46. What is x?
  21. 21.The sum of two consecutive whole numbers is 87. What is the smallest of them?
  22. 22.Solve: 4x + 12 = x + 54. What is x?
  23. 23.A father is 10 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  24. 24.The length of a rectangle is 10 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  25. 25.Solve: 4n + 20 = 3n + 27. What is n?
  26. 26.Solve: 4t + 6 = 3t + 21. What is t?
  27. 27.Solve: t/3 + t/2 = 5. What is t?
  28. 28.Solve: 3m + 2 = 2m + 11. What is m?
  29. 29.The sum of three consecutive whole numbers is 75. What is the smallest of them?
  30. 30.A father is 28 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  31. 31.Solve: m/3 + m/6 = 21. What is m?
  32. 32.The sum of three consecutive whole numbers is 123. What is the smallest of them?
  33. 33.Solve: 5(m − 1) = m + 27. What is m?
  34. 34.Solve: y/2 + y/4 = 15. What is y?
  35. 35.The length of a rectangle is 12 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  36. 36.Solve: y/5 + y/2 = 49. What is y?
  37. 37.Solve: x/4 + x/3 = 49. What is x?
  38. 38.The length of a rectangle is 7 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  39. 39.The sum of three consecutive whole numbers is 45. What is the smallest of them?
  40. 40.Solve: x/2 + x/3 = 15. What is x?

Answer key

  1. 90
  2. 9
  3. 25
  4. 40
  5. 49
  6. 6
  7. 16
  8. 8
  9. 5
  10. 6
  11. 39
  12. 6
  13. 56
  14. 6
  15. 13
  16. 24
  17. 6
  18. 9
  19. 24
  20. 14
  21. 43
  22. 14
  23. 8
  24. 15
  25. 7
  26. 15
  27. 6
  28. 9
  29. 24
  30. 6
  31. 42
  32. 40
  33. 8
  34. 20
  35. 10
  36. 70
  37. 84
  38. 7
  39. 14
  40. 18

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