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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 953 · 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 four consecutive whole numbers is 246. What is the smallest of them?
  2. 2.Solve: 8y + 5 = y + 89. What is y?
  3. 3.Solve: 4(n − 4) = n + 8. What is n?
  4. 4.Solve: 7y + 7 = y + 19. What is y?
  5. 5.The length of a rectangle is 2 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  6. 6.Solve: 6x + 7 = 2x + 43. What is x?
  7. 7.Solve: m/2 + m/3 = 25. What is m?
  8. 8.Solve: 6(x − 1) = 3x + 3. What is x?
  9. 9.Solve: x/5 + x/6 = 55. What is x?
  10. 10.The sum of three consecutive whole numbers is 30. What is the smallest of them?
  11. 11.Solve: 9y + 17 = 7y + 25. What is y?
  12. 12.The sum of two consecutive whole numbers is 121. What is the smallest of them?
  13. 13.The sum of four consecutive whole numbers is 106. What is the largest of them?
  14. 14.The length of a rectangle is 7 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  15. 15.Solve: 4p + 8 = 2p + 10. What is p?
  16. 16.The length of a rectangle is 6 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  17. 17.The length of a rectangle is 1 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  18. 18.Solve: t/2 + t/4 = 24. What is t?
  19. 19.Solve: 6t + 18 = 4t + 44. What is t?
  20. 20.Solve: y/4 + y/5 = 27. What is y?
  21. 21.Solve: x/6 + x/5 = 22. What is x?
  22. 22.Solve: 3(y − 2) = y + 18. What is y?
  23. 23.Solve: 6y + 14 = 3y + 47. What is y?
  24. 24.Solve: t/2 + t/6 = 28. What is t?
  25. 25.The length of a rectangle is 4 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  26. 26.Solve: 5y + 10 = y + 34. What is y?
  27. 27.Solve: 6m + 2 = 2m + 38. What is m?
  28. 28.Solve: 6(n − 1) = 3n + 15. What is n?
  29. 29.Solve: 5(x − 2) = 3x + 18. What is x?
  30. 30.The sum of three consecutive whole numbers is 72. What is the largest of them?
  31. 31.The sum of four consecutive whole numbers is 98. What is the smallest of them?
  32. 32.The length of a rectangle is 3 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  33. 33.Solve: y/3 + y/6 = 24. What is y?
  34. 34.The sum of four consecutive whole numbers is 26. What is the largest of them?
  35. 35.The length of a rectangle is 10 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  36. 36.A father is 18 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?
  37. 37.The sum of four consecutive whole numbers is 42. What is the smallest of them?
  38. 38.Solve: y/2 + y/3 = 40. What is y?
  39. 39.The sum of two consecutive whole numbers is 49. What is the smallest of them?
  40. 40.Solve: x/2 + x/6 = 12. What is x?

Answer key

  1. 60
  2. 12
  3. 8
  4. 2
  5. 5
  6. 9
  7. 30
  8. 3
  9. 150
  10. 9
  11. 4
  12. 60
  13. 28
  14. 21
  15. 1
  16. 2
  17. 30
  18. 32
  19. 13
  20. 60
  21. 60
  22. 12
  23. 11
  24. 42
  25. 14
  26. 6
  27. 9
  28. 7
  29. 14
  30. 25
  31. 23
  32. 28
  33. 48
  34. 8
  35. 4
  36. 5
  37. 9
  38. 48
  39. 24
  40. 18

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