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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 726 · 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: 9t + 18 = 7t + 40. What is t?
  2. 2.Solve: x/6 + x/4 = 25. What is x?
  3. 3.The length of a rectangle is 11 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  4. 4.The length of a rectangle is 1 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  5. 5.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  6. 6.A father is 51 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  7. 7.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  8. 8.Solve: 7y + 9 = y + 93. What is y?
  9. 9.Solve: t/5 + t/2 = 35. What is t?
  10. 10.Solve: 3(y − 5) = y + 3. What is y?
  11. 11.A father is 38 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  12. 12.Solve: 6x + 2 = x + 7. What is x?
  13. 13.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?
  14. 14.Solve: 4(y − 2) = 3y + 8. What is y?
  15. 15.Solve: y/2 + y/3 = 35. What is y?
  16. 16.Solve: 8x + 20 = 5x + 65. What is x?
  17. 17.Solve: 5(y − 3) = 4y + 5. What is y?
  18. 18.Solve: y/6 + y/5 = 77. What is y?
  19. 19.A father is 32 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  20. 20.Solve: 4(n − 2) = 2n + 8. What is n?
  21. 21.The length of a rectangle is 12 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  22. 22.The length of a rectangle is 3 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  23. 23.Solve: p/4 + p/3 = 49. What is p?
  24. 24.The sum of four consecutive whole numbers is 194. What is the largest of them?
  25. 25.Solve: y/2 + y/3 = 5. What is y?
  26. 26.Solve: 3(x − 3) = 2x + 10. What is x?
  27. 27.Solve: 9x + 17 = 6x + 62. What is x?
  28. 28.The sum of three consecutive whole numbers is 174. What is the largest of them?
  29. 29.Solve: n/3 + n/4 = 56. What is n?
  30. 30.Solve: 3n + 2 = n + 28. What is n?
  31. 31.Solve: 6n + 15 = 5n + 28. What is n?
  32. 32.Solve: 5m + 6 = 2m + 27. What is m?
  33. 33.The length of a rectangle is 12 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  34. 34.Solve: 4(x − 1) = x + 5. What is x?
  35. 35.Solve: 3x + 7 = 2x + 14. What is x?
  36. 36.The sum of three consecutive whole numbers is 36. What is the largest of them?
  37. 37.Solve: 6m + 4 = 2m + 44. What is m?
  38. 38.The length of a rectangle is 13 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  39. 39.Solve: 4(m − 3) = m + 15. What is m?
  40. 40.Solve: y/2 + y/4 = 18. What is y?

Answer key

  1. 11
  2. 60
  3. 12
  4. 6
  5. 2
  6. 9
  7. 3
  8. 14
  9. 50
  10. 9
  11. 11
  12. 1
  13. 4
  14. 16
  15. 42
  16. 15
  17. 20
  18. 210
  19. 12
  20. 8
  21. 14
  22. 25
  23. 84
  24. 50
  25. 6
  26. 19
  27. 15
  28. 59
  29. 96
  30. 13
  31. 13
  32. 7
  33. 11
  34. 3
  35. 7
  36. 13
  37. 10
  38. 13
  39. 9
  40. 24

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