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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 582 · 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: t/6 + t/5 = 77. What is t?
  2. 2.The length of a rectangle is 14 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  3. 3.The length of a rectangle is 14 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  4. 4.The length of a rectangle is 1 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  5. 5.Solve: 6(n − 4) = 2n + 16. What is n?
  6. 6.The sum of three consecutive whole numbers is 117. What is the smallest of them?
  7. 7.Solve: n/4 + n/3 = 7. What is n?
  8. 8.Solve: 9t + 14 = 8t + 18. What is t?
  9. 9.The length of a rectangle is 6 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  10. 10.Solve: 3m + 17 = 2m + 25. What is m?
  11. 11.Solve: 3(n − 4) = 2n + 11. What is n?
  12. 12.The sum of two consecutive whole numbers is 107. What is the largest of them?
  13. 13.The length of a rectangle is 8 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  14. 14.A father is 39 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  15. 15.Solve: 8m + 16 = 4m + 68. What is m?
  16. 16.A father is 33 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  17. 17.Solve: 5m + 3 = m + 39. What is m?
  18. 18.The sum of three consecutive whole numbers is 105. What is the largest of them?
  19. 19.Solve: t/2 + t/3 = 25. What is t?
  20. 20.The sum of three consecutive whole numbers is 30. What is the largest of them?
  21. 21.Solve: m/6 + m/3 = 9. What is m?
  22. 22.The length of a rectangle is 8 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  23. 23.Solve: 3(p − 3) = p + 19. What is p?
  24. 24.Solve: 6(t − 3) = 5t + 12. What is t?
  25. 25.Solve: y/2 + y/4 = 15. What is y?
  26. 26.Solve: 7y + 17 = 5y + 29. What is y?
  27. 27.Solve: 4n + 20 = 2n + 44. What is n?
  28. 28.The length of a rectangle is 1 cm more than its width. Its perimeter is 10 cm. What is its width (in cm)?
  29. 29.The length of a rectangle is 8 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  30. 30.Solve: x/3 + x/2 = 10. What is x?
  31. 31.Solve: p/3 + p/6 = 21. What is p?
  32. 32.Solve: 7x + 19 = 5x + 25. What is x?
  33. 33.Solve: 7p + 2 = 2p + 52. What is p?
  34. 34.The length of a rectangle is 6 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  35. 35.The length of a rectangle is 3 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  36. 36.Solve: 5y + 4 = y + 36. What is y?
  37. 37.The length of a rectangle is 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  38. 38.The sum of three consecutive whole numbers is 57. What is the largest of them?
  39. 39.Solve: 4p + 15 = 2p + 43. What is p?
  40. 40.The sum of two consecutive whole numbers is 115. What is the largest of them?

Answer key

  1. 210
  2. 12
  3. 13
  4. 11
  5. 10
  6. 38
  7. 12
  8. 4
  9. 22
  10. 8
  11. 23
  12. 54
  13. 27
  14. 7
  15. 13
  16. 5
  17. 9
  18. 36
  19. 30
  20. 11
  21. 18
  22. 9
  23. 14
  24. 30
  25. 20
  26. 6
  27. 12
  28. 2
  29. 8
  30. 12
  31. 42
  32. 3
  33. 10
  34. 21
  35. 15
  36. 8
  37. 19
  38. 20
  39. 14
  40. 58

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