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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 74 · 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: 5(x − 4) = 2x + 1. What is x?
  2. 2.Solve: t/4 + t/2 = 15. What is t?
  3. 3.Solve: 4n + 16 = n + 49. What is n?
  4. 4.Solve: y/3 + y/5 = 8. What is y?
  5. 5.The length of a rectangle is 11 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  6. 6.A father is 8 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  7. 7.The sum of four consecutive whole numbers is 222. What is the largest of them?
  8. 8.Solve: 3(t − 5) = 2t + 9. What is t?
  9. 9.Solve: x/2 + x/6 = 8. What is x?
  10. 10.The sum of four consecutive whole numbers is 242. What is the smallest of them?
  11. 11.Solve: 6(y − 1) = 5y + 12. What is y?
  12. 12.Solve: 3(x − 5) = 2x + 2. What is x?
  13. 13.Solve: t/5 + t/2 = 21. What is t?
  14. 14.Solve: m/5 + m/2 = 28. What is m?
  15. 15.A father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  16. 16.Solve: 4(t − 1) = 2t + 16. What is t?
  17. 17.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  18. 18.The sum of three consecutive whole numbers is 21. What is the smallest of them?
  19. 19.The sum of two consecutive whole numbers is 95. What is the largest of them?
  20. 20.Solve: 7t + 20 = 5t + 26. What is t?
  21. 21.Solve: t/2 + t/4 = 21. What is t?
  22. 22.Solve: 5n + 2 = n + 10. What is n?
  23. 23.The length of a rectangle is 1 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  24. 24.Solve: 6(n − 3) = n + 27. What is n?
  25. 25.Solve: 6x + 20 = 5x + 26. What is x?
  26. 26.Solve: 9y + 11 = 4y + 31. What is y?
  27. 27.Solve: 4(n − 4) = n + 29. What is n?
  28. 28.The length of a rectangle is 8 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  29. 29.The sum of three consecutive whole numbers is 111. What is the smallest of them?
  30. 30.The sum of three consecutive whole numbers is 156. What is the largest of them?
  31. 31.Solve: 5(n − 1) = 3n + 23. What is n?
  32. 32.Solve: n/6 + n/5 = 44. What is n?
  33. 33.The length of a rectangle is 8 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  34. 34.The sum of four consecutive whole numbers is 142. What is the largest of them?
  35. 35.Solve: 5(n − 1) = 3n + 13. What is n?
  36. 36.The sum of three consecutive whole numbers is 60. What is the smallest of them?
  37. 37.A father is 12 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  38. 38.Solve: y/2 + y/3 = 25. What is y?
  39. 39.The length of a rectangle is 10 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  40. 40.Solve: 4t + 3 = 2t + 15. What is t?

Answer key

  1. 7
  2. 20
  3. 11
  4. 15
  5. 22
  6. 3
  7. 57
  8. 24
  9. 12
  10. 59
  11. 18
  12. 17
  13. 30
  14. 40
  15. 2
  16. 10
  17. 8
  18. 6
  19. 48
  20. 3
  21. 28
  22. 2
  23. 22
  24. 9
  25. 6
  26. 4
  27. 15
  28. 13
  29. 36
  30. 53
  31. 14
  32. 120
  33. 25
  34. 37
  35. 9
  36. 19
  37. 6
  38. 30
  39. 22
  40. 6

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