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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 525 · 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: 8x + 9 = x + 65. What is x?
  2. 2.The length of a rectangle is 11 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  3. 3.The length of a rectangle is 8 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  4. 4.The length of a rectangle is 13 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  5. 5.Solve: 7y + 1 = 2y + 76. What is y?
  6. 6.The length of a rectangle is 7 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  7. 7.Solve: n/5 + n/6 = 11. What is n?
  8. 8.The length of a rectangle is 4 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  9. 9.The length of a rectangle is 3 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  10. 10.Solve: t/5 + t/6 = 55. What is t?
  11. 11.Solve: 3(m − 5) = 2m + 7. What is m?
  12. 12.A father is 42 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  13. 13.Solve: 4(m − 5) = m + 16. What is m?
  14. 14.The sum of four consecutive whole numbers is 234. What is the smallest of them?
  15. 15.Solve: y/3 + y/5 = 32. What is y?
  16. 16.Solve: x/2 + x/3 = 40. What is x?
  17. 17.The sum of two consecutive whole numbers is 17. What is the smallest of them?
  18. 18.Solve: 4(n − 4) = 3n + 11. What is n?
  19. 19.Solve: 9x + 10 = 6x + 34. What is x?
  20. 20.Solve: 3(m − 1) = 2m + 3. What is m?
  21. 21.Solve: 8p + 2 = 2p + 20. What is p?
  22. 22.The sum of two consecutive whole numbers is 79. What is the smallest of them?
  23. 23.The sum of two consecutive whole numbers is 43. What is the largest of them?
  24. 24.The sum of three consecutive whole numbers is 66. What is the smallest of them?
  25. 25.The length of a rectangle is 4 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  26. 26.Solve: 4(m − 4) = m + 26. What is m?
  27. 27.Solve: 6(y − 2) = 2y + 4. What is y?
  28. 28.Solve: t/6 + t/5 = 66. What is t?
  29. 29.Solve: 4n + 11 = 3n + 17. What is n?
  30. 30.Solve: 7p + 17 = 4p + 50. What is p?
  31. 31.Solve: 7y + 10 = 4y + 31. What is y?
  32. 32.Solve: 7y + 6 = 3y + 10. What is y?
  33. 33.Solve: 3(x − 3) = 2x + 7. What is x?
  34. 34.Solve: 4(t − 4) = t + 32. What is t?
  35. 35.Solve: 3(x − 3) = 2x + 6. What is x?
  36. 36.The sum of three consecutive whole numbers is 156. What is the largest of them?
  37. 37.Solve: 9t + 13 = t + 29. What is t?
  38. 38.A father is 18 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  39. 39.Solve: n/2 + n/4 = 18. What is n?
  40. 40.A father is 33 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?

Answer key

  1. 8
  2. 15
  3. 13
  4. 20
  5. 15
  6. 20
  7. 30
  8. 17
  9. 29
  10. 150
  11. 22
  12. 9
  13. 12
  14. 57
  15. 60
  16. 48
  17. 8
  18. 27
  19. 8
  20. 6
  21. 3
  22. 39
  23. 22
  24. 21
  25. 13
  26. 14
  27. 4
  28. 180
  29. 6
  30. 11
  31. 7
  32. 1
  33. 16
  34. 16
  35. 15
  36. 53
  37. 2
  38. 4
  39. 24
  40. 10

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