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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 701 · 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: 8y + 8 = 5y + 11. What is y?
  2. 2.Solve: 6y + 17 = 4y + 37. What is y?
  3. 3.The sum of three consecutive whole numbers is 87. What is the largest of them?
  4. 4.Solve: y/3 + y/2 = 25. What is y?
  5. 5.The length of a rectangle is 8 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  6. 6.Solve: 3(y − 5) = 2y + 4. What is y?
  7. 7.Solve: 3t + 2 = t + 16. What is t?
  8. 8.Solve: 6(m − 5) = 5m + 1. What is m?
  9. 9.The sum of three consecutive whole numbers is 126. What is the largest of them?
  10. 10.Solve: y/4 + y/2 = 18. What is y?
  11. 11.The sum of four consecutive whole numbers is 126. What is the smallest of them?
  12. 12.Solve: 6p + 12 = 4p + 28. What is p?
  13. 13.Solve: 6(t − 1) = 3t + 24. What is t?
  14. 14.The length of a rectangle is 7 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  15. 15.Solve: y/5 + y/3 = 32. What is y?
  16. 16.Solve: 3y + 14 = y + 28. What is y?
  17. 17.Solve: 8x + 10 = 4x + 14. What is x?
  18. 18.Solve: y/4 + y/3 = 7. What is y?
  19. 19.The length of a rectangle is 6 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  20. 20.The length of a rectangle is 5 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  21. 21.Solve: 4t + 5 = 2t + 27. What is t?
  22. 22.Solve: m/4 + m/5 = 9. What is m?
  23. 23.Solve: y/4 + y/2 = 6. What is y?
  24. 24.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  25. 25.The sum of two consecutive whole numbers is 57. What is the smallest of them?
  26. 26.The length of a rectangle is 1 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  27. 27.Solve: y/5 + y/6 = 33. What is y?
  28. 28.Solve: t/5 + t/2 = 7. What is t?
  29. 29.Solve: 6m + 20 = m + 55. What is m?
  30. 30.Solve: n/6 + n/2 = 24. What is n?
  31. 31.Solve: 4t + 2 = t + 11. What is t?
  32. 32.Solve: 5m + 14 = m + 66. What is m?
  33. 33.Solve: n/3 + n/6 = 24. What is n?
  34. 34.The length of a rectangle is 6 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  35. 35.Solve: 6(p − 2) = 2p + 28. What is p?
  36. 36.The sum of two consecutive whole numbers is 87. What is the smallest of them?
  37. 37.Solve: y/4 + y/3 = 56. What is y?
  38. 38.Solve: p/5 + p/3 = 16. What is p?
  39. 39.Solve: 3(n − 5) = 2n + 2. What is n?
  40. 40.The sum of four consecutive whole numbers is 74. What is the smallest of them?

Answer key

  1. 1
  2. 10
  3. 30
  4. 30
  5. 10
  6. 19
  7. 7
  8. 31
  9. 43
  10. 24
  11. 30
  12. 8
  13. 10
  14. 14
  15. 60
  16. 7
  17. 1
  18. 12
  19. 24
  20. 15
  21. 11
  22. 20
  23. 8
  24. 3
  25. 28
  26. 10
  27. 90
  28. 10
  29. 7
  30. 36
  31. 3
  32. 13
  33. 48
  34. 2
  35. 10
  36. 43
  37. 96
  38. 30
  39. 17
  40. 17

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