← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 638 · 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: n/5 + n/2 = 14. What is n?
  2. 2.A father is 28 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?
  3. 3.Solve: 9x + 20 = 3x + 74. What is x?
  4. 4.Solve: 4(m − 3) = 3m + 3. What is m?
  5. 5.The sum of two consecutive whole numbers is 31. What is the smallest of them?
  6. 6.The sum of four consecutive whole numbers is 202. What is the largest of them?
  7. 7.A father is 10 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?
  8. 8.The sum of three consecutive whole numbers is 27. What is the smallest of them?
  9. 9.The sum of two consecutive whole numbers is 27. What is the smallest of them?
  10. 10.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  11. 11.Solve: n/3 + n/5 = 56. What is n?
  12. 12.Solve: 5y + 11 = 3y + 33. What is y?
  13. 13.Solve: x/3 + x/5 = 48. What is x?
  14. 14.Solve: 9n + 4 = 3n + 28. What is n?
  15. 15.Solve: 3(y − 3) = y + 7. What is y?
  16. 16.Solve: 5m + 13 = 4m + 27. What is m?
  17. 17.A father is 39 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?
  18. 18.The length of a rectangle is 14 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  19. 19.A father is 20 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  20. 20.Solve: 5y + 2 = 3y + 18. What is y?
  21. 21.Solve: 4(m − 3) = 3m + 1. What is m?
  22. 22.Solve: 5(x − 1) = 4x + 1. What is x?
  23. 23.Solve: 3(y − 1) = y + 9. What is y?
  24. 24.Solve: m/2 + m/3 = 30. What is m?
  25. 25.Solve: 3y + 13 = 2y + 19. What is y?
  26. 26.The sum of three consecutive whole numbers is 90. What is the smallest of them?
  27. 27.Solve: t/2 + t/6 = 4. What is t?
  28. 28.A father is 10 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  29. 29.Solve: p/4 + p/3 = 35. What is p?
  30. 30.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
  31. 31.Solve: 4n + 7 = 3n + 9. What is n?
  32. 32.Solve: x/5 + x/3 = 32. What is x?
  33. 33.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  34. 34.Solve: 4m + 9 = m + 45. What is m?
  35. 35.Solve: 3(p − 1) = 2p + 12. What is p?
  36. 36.Solve: x/3 + x/2 = 25. What is x?
  37. 37.A father is 36 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?
  38. 38.Solve: 8m + 5 = 7m + 14. What is m?
  39. 39.A father is 24 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  40. 40.Solve: 3y + 7 = y + 27. What is y?

Answer key

  1. 20
  2. 6
  3. 9
  4. 15
  5. 15
  6. 52
  7. 3
  8. 8
  9. 13
  10. 4
  11. 105
  12. 11
  13. 90
  14. 4
  15. 8
  16. 14
  17. 5
  18. 26
  19. 12
  20. 8
  21. 13
  22. 6
  23. 6
  24. 36
  25. 6
  26. 29
  27. 6
  28. 6
  29. 60
  30. 2
  31. 2
  32. 60
  33. 12
  34. 12
  35. 15
  36. 30
  37. 4
  38. 9
  39. 5
  40. 10

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