← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 186 · 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.The sum of three consecutive whole numbers is 54. What is the smallest of them?
  2. 2.Solve: 3y + 9 = y + 25. What is y?
  3. 3.Solve: 3(x − 2) = 2x + 12. What is x?
  4. 4.Solve: 5y + 19 = 4y + 21. What is y?
  5. 5.A father is 34 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  6. 6.Solve: 8p + 9 = 4p + 13. What is p?
  7. 7.A father is 30 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  8. 8.Solve: 8p + 7 = 2p + 19. What is p?
  9. 9.A father is 10 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  10. 10.Solve: 5t + 6 = 2t + 48. What is t?
  11. 11.The sum of two consecutive whole numbers is 35. What is the smallest of them?
  12. 12.Solve: 4(m − 4) = 3m + 6. What is m?
  13. 13.The length of a rectangle is 2 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  14. 14.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  15. 15.Solve: x/4 + x/2 = 21. What is x?
  16. 16.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  17. 17.The length of a rectangle is 10 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  18. 18.Solve: 3(y − 5) = y + 23. What is y?
  19. 19.A father is 21 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  20. 20.Solve: 6t + 17 = t + 57. What is t?
  21. 21.Solve: 8n + 7 = 4n + 39. What is n?
  22. 22.The length of a rectangle is 9 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  23. 23.Solve: 3n + 2 = n + 6. What is n?
  24. 24.Solve: t/6 + t/5 = 88. What is t?
  25. 25.The length of a rectangle is 8 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  26. 26.Solve: 5p + 1 = p + 61. What is p?
  27. 27.The length of a rectangle is 6 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  28. 28.Solve: 3p + 4 = p + 20. What is p?
  29. 29.Solve: 3(y − 2) = 2y + 13. What is y?
  30. 30.Solve: 3(p − 2) = 2p + 5. What is p?
  31. 31.Solve: p/6 + p/2 = 4. What is p?
  32. 32.Solve: 4y + 12 = 3y + 17. What is y?
  33. 33.Solve: 6(n − 2) = 2n + 16. What is n?
  34. 34.Solve: t/2 + t/4 = 9. What is t?
  35. 35.The sum of three consecutive whole numbers is 24. What is the largest of them?
  36. 36.Solve: 3(x − 5) = x + 1. What is x?
  37. 37.Solve: 3(y − 5) = 2y + 3. What is y?
  38. 38.The sum of four consecutive whole numbers is 38. What is the smallest of them?
  39. 39.A father is 27 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  40. 40.Solve: 9m + 18 = 8m + 33. What is m?

Answer key

  1. 17
  2. 8
  3. 18
  4. 2
  5. 12
  6. 1
  7. 7
  8. 2
  9. 8
  10. 14
  11. 17
  12. 22
  13. 16
  14. 16
  15. 28
  16. 6
  17. 20
  18. 19
  19. 4
  20. 8
  21. 8
  22. 22
  23. 2
  24. 240
  25. 5
  26. 15
  27. 7
  28. 8
  29. 19
  30. 11
  31. 6
  32. 5
  33. 7
  34. 12
  35. 9
  36. 8
  37. 18
  38. 8
  39. 6
  40. 15

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