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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 408 · 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(n − 4) = n + 32. What is n?
  2. 2.Solve: 6y + 20 = 3y + 53. What is y?
  3. 3.Solve: t/2 + t/5 = 56. What is t?
  4. 4.The sum of four consecutive whole numbers is 50. What is the smallest of them?
  5. 5.Solve: 3(x − 5) = x + 7. What is x?
  6. 6.Solve: 5n + 4 = n + 64. What is n?
  7. 7.Solve: 3(x − 4) = 2x + 3. What is x?
  8. 8.Solve: 6(y − 2) = 4y + 4. What is y?
  9. 9.Solve: 6(t − 3) = 5t + 4. What is t?
  10. 10.The length of a rectangle is 10 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
  11. 11.Solve: y/2 + y/6 = 4. What is y?
  12. 12.The length of a rectangle is 1 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  13. 13.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  14. 14.Solve: 5(t − 3) = 3t + 21. What is t?
  15. 15.The length of a rectangle is 13 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  16. 16.The sum of four consecutive whole numbers is 166. What is the largest of them?
  17. 17.The sum of two consecutive whole numbers is 43. What is the largest of them?
  18. 18.Solve: 3n + 9 = n + 29. What is n?
  19. 19.The length of a rectangle is 2 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  20. 20.Solve: 6(n − 2) = 5n + 4. What is n?
  21. 21.The length of a rectangle is 9 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  22. 22.Solve: 5(p − 2) = 2p + 26. What is p?
  23. 23.Solve: x/3 + x/4 = 49. What is x?
  24. 24.Solve: p/2 + p/5 = 28. What is p?
  25. 25.The length of a rectangle is 15 cm more than its width. Its perimeter is 150 cm. What is its width (in cm)?
  26. 26.Solve: 8t + 5 = 4t + 33. What is t?
  27. 27.Solve: 4y + 1 = y + 37. What is y?
  28. 28.The sum of two consecutive whole numbers is 47. What is the largest of them?
  29. 29.Solve: 6(t − 3) = 3t + 15. What is t?
  30. 30.Solve: x/4 + x/6 = 15. What is x?
  31. 31.The length of a rectangle is 1 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  32. 32.The length of a rectangle is 15 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  33. 33.Solve: y/3 + y/6 = 9. What is y?
  34. 34.The length of a rectangle is 11 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  35. 35.Solve: p/5 + p/6 = 66. What is p?
  36. 36.The sum of three consecutive whole numbers is 126. What is the smallest of them?
  37. 37.Solve: 5x + 11 = 4x + 20. What is x?
  38. 38.Solve: m/4 + m/3 = 28. What is m?
  39. 39.The length of a rectangle is 11 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  40. 40.The sum of four consecutive whole numbers is 106. What is the largest of them?

Answer key

  1. 16
  2. 11
  3. 80
  4. 11
  5. 11
  6. 15
  7. 15
  8. 8
  9. 22
  10. 30
  11. 6
  12. 29
  13. 6
  14. 18
  15. 5
  16. 43
  17. 22
  18. 10
  19. 21
  20. 16
  21. 29
  22. 12
  23. 84
  24. 40
  25. 30
  26. 7
  27. 12
  28. 24
  29. 11
  30. 36
  31. 30
  32. 4
  33. 18
  34. 19
  35. 180
  36. 41
  37. 9
  38. 48
  39. 24
  40. 28

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