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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 796 · 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: 3(n − 2) = 2n + 13. What is n?
  2. 2.The sum of two consecutive whole numbers is 39. What is the largest of them?
  3. 3.Solve: 3(m − 5) = 2m + 2. What is m?
  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(y − 1) = 4y + 8. What is y?
  6. 6.Solve: 8y + 4 = 6y + 30. What is y?
  7. 7.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  8. 8.The sum of three consecutive whole numbers is 156. What is the largest of them?
  9. 9.The sum of four consecutive whole numbers is 50. What is the largest of them?
  10. 10.The length of a rectangle is 9 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  11. 11.Solve: 3t + 10 = t + 14. What is t?
  12. 12.The sum of two consecutive whole numbers is 15. What is the smallest of them?
  13. 13.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  14. 14.Solve: t/5 + t/3 = 16. What is t?
  15. 15.Solve: x/2 + x/5 = 49. What is x?
  16. 16.Solve: 3(t − 3) = 2t + 3. What is t?
  17. 17.Solve: 9y + 12 = 2y + 54. What is y?
  18. 18.Solve: y/4 + y/6 = 30. What is y?
  19. 19.Solve: 4p + 3 = 3p + 11. What is p?
  20. 20.The length of a rectangle is 4 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  21. 21.Solve: 6(x − 4) = 2x + 32. What is x?
  22. 22.Solve: x/3 + x/2 = 40. What is x?
  23. 23.Solve: 6(y − 2) = 3y + 15. What is y?
  24. 24.The length of a rectangle is 2 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  25. 25.The sum of three consecutive whole numbers is 177. What is the largest of them?
  26. 26.Solve: x/2 + x/3 = 25. What is x?
  27. 27.Solve: 5(y − 5) = y + 27. What is y?
  28. 28.Solve: 6(y − 5) = 5y + 1. What is y?
  29. 29.The length of a rectangle is 8 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  30. 30.Solve: 9n + 12 = 2n + 96. What is n?
  31. 31.Solve: 5(n − 4) = n + 12. What is n?
  32. 32.Solve: 5(p − 5) = p + 31. What is p?
  33. 33.Solve: 5(n − 4) = 4n + 10. What is n?
  34. 34.The length of a rectangle is 14 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  35. 35.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  36. 36.Solve: 3(t − 5) = t + 13. What is t?
  37. 37.Solve: 9m + 6 = 5m + 30. What is m?
  38. 38.Solve: m/3 + m/5 = 32. What is m?
  39. 39.Solve: 4(m − 4) = m + 32. What is m?
  40. 40.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?

Answer key

  1. 19
  2. 20
  3. 17
  4. 11
  5. 7
  6. 13
  7. 7
  8. 53
  9. 14
  10. 5
  11. 2
  12. 7
  13. 4
  14. 30
  15. 70
  16. 12
  17. 6
  18. 72
  19. 8
  20. 18
  21. 14
  22. 48
  23. 9
  24. 6
  25. 60
  26. 30
  27. 13
  28. 31
  29. 5
  30. 12
  31. 8
  32. 14
  33. 30
  34. 5
  35. 5
  36. 14
  37. 6
  38. 60
  39. 16
  40. 3

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