← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 518 · 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(p − 2) = 2p + 8. What is p?
  2. 2.The length of a rectangle is 12 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  3. 3.The sum of two consecutive whole numbers is 55. What is the smallest of them?
  4. 4.Solve: x/3 + x/2 = 35. What is x?
  5. 5.The length of a rectangle is 10 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  6. 6.Solve: y/4 + y/6 = 25. What is y?
  7. 7.The sum of two consecutive whole numbers is 101. What is the largest of them?
  8. 8.A father is 48 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?
  9. 9.Solve: 4(n − 1) = 3n + 11. What is n?
  10. 10.Solve: 4t + 8 = 2t + 28. What is t?
  11. 11.Solve: 4n + 12 = n + 54. What is n?
  12. 12.Solve: 6(y − 4) = 4y + 4. What is y?
  13. 13.Solve: 4(n − 1) = n + 5. What is n?
  14. 14.Solve: x/6 + x/4 = 40. What is x?
  15. 15.Solve: 5(y − 5) = 2y + 35. What is y?
  16. 16.Solve: 5n + 11 = 2n + 23. What is n?
  17. 17.Solve: t/2 + t/5 = 7. What is t?
  18. 18.A father is 26 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  19. 19.Solve: 8t + 20 = 7t + 25. What is t?
  20. 20.Solve: 3(p − 4) = 2p + 7. What is p?
  21. 21.Solve: p/5 + p/4 = 63. What is p?
  22. 22.Solve: 8n + 15 = 4n + 55. What is n?
  23. 23.The sum of four consecutive whole numbers is 234. What is the largest of them?
  24. 24.A father is 22 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  25. 25.Solve: x/4 + x/2 = 3. What is x?
  26. 26.Solve: m/6 + m/2 = 32. What is m?
  27. 27.A father is 45 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?
  28. 28.The sum of four consecutive whole numbers is 82. What is the smallest of them?
  29. 29.Solve: 5y + 18 = y + 58. What is y?
  30. 30.Solve: x/3 + x/2 = 20. What is x?
  31. 31.A father is 20 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?
  32. 32.A father is 39 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  33. 33.Solve: 5(y − 4) = 3y + 20. What is y?
  34. 34.Solve: 9x + 3 = 8x + 6. What is x?
  35. 35.Solve: 5y + 3 = y + 35. What is y?
  36. 36.Solve: 8p + 19 = 3p + 29. What is p?
  37. 37.Solve: 5p + 20 = p + 80. What is p?
  38. 38.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  39. 39.Solve: 8p + 5 = 7p + 9. What is p?
  40. 40.The sum of three consecutive whole numbers is 168. What is the smallest of them?

Answer key

  1. 14
  2. 7
  3. 27
  4. 42
  5. 25
  6. 60
  7. 51
  8. 8
  9. 15
  10. 10
  11. 14
  12. 14
  13. 3
  14. 96
  15. 20
  16. 4
  17. 10
  18. 7
  19. 5
  20. 19
  21. 140
  22. 10
  23. 60
  24. 9
  25. 4
  26. 48
  27. 7
  28. 19
  29. 10
  30. 24
  31. 6
  32. 12
  33. 20
  34. 3
  35. 8
  36. 2
  37. 15
  38. 10
  39. 4
  40. 55

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