← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 199 · 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.A father is 18 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  2. 2.The sum of three consecutive whole numbers is 33. What is the smallest of them?
  3. 3.The length of a rectangle is 13 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  4. 4.Solve: 6y + 2 = y + 32. What is y?
  5. 5.Solve: 8m + 11 = 5m + 14. What is m?
  6. 6.Solve: 3(t − 3) = t + 7. What is t?
  7. 7.Solve: 4y + 5 = 3y + 15. What is y?
  8. 8.Solve: 7x + 5 = 6x + 19. What is x?
  9. 9.Solve: p/3 + p/5 = 56. What is p?
  10. 10.Solve: t/4 + t/3 = 35. What is t?
  11. 11.Solve: 3(y − 5) = 2y + 6. What is y?
  12. 12.Solve: 5(y − 4) = 3y + 6. What is y?
  13. 13.Solve: 6t + 18 = 2t + 50. What is t?
  14. 14.Solve: 4t + 3 = t + 18. What is t?
  15. 15.Solve: 5(y − 4) = y + 20. What is y?
  16. 16.Solve: 3p + 14 = 2p + 23. What is p?
  17. 17.Solve: 4p + 19 = 3p + 26. What is p?
  18. 18.Solve: 8y + 1 = 4y + 61. What is y?
  19. 19.Solve: 5(x − 3) = 3x + 3. What is x?
  20. 20.Solve: 4(n − 5) = 3n + 8. What is n?
  21. 21.A father is 27 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?
  22. 22.Solve: 3t + 8 = t + 28. What is t?
  23. 23.Solve: 3(n − 5) = n + 13. What is n?
  24. 24.Solve: 3(x − 2) = 2x + 9. What is x?
  25. 25.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  26. 26.Solve: 3(p − 3) = p + 21. What is p?
  27. 27.Solve: 3(t − 4) = 2t + 3. What is t?
  28. 28.Solve: 3(m − 1) = m + 1. What is m?
  29. 29.Solve: 7m + 9 = 4m + 21. What is m?
  30. 30.Solve: 4(n − 3) = 3n + 11. What is n?
  31. 31.The length of a rectangle is 15 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  32. 32.Solve: 4m + 11 = 2m + 31. What is m?
  33. 33.A father is 34 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?
  34. 34.A father is 13 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  35. 35.A father is 10 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  36. 36.Solve: 3(x − 1) = 2x + 3. What is x?
  37. 37.A father is 48 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?
  38. 38.Solve: y/6 + y/3 = 9. What is y?
  39. 39.The length of a rectangle is 14 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  40. 40.Solve: 8n + 17 = 4n + 53. What is n?

Answer key

  1. 6
  2. 10
  3. 28
  4. 6
  5. 1
  6. 8
  7. 10
  8. 14
  9. 105
  10. 60
  11. 21
  12. 13
  13. 8
  14. 5
  15. 10
  16. 9
  17. 7
  18. 15
  19. 9
  20. 28
  21. 3
  22. 10
  23. 14
  24. 15
  25. 8
  26. 15
  27. 15
  28. 2
  29. 4
  30. 23
  31. 26
  32. 10
  33. 9
  34. 11
  35. 4
  36. 6
  37. 10
  38. 18
  39. 14
  40. 9

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets