← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 486 · 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: x/4 + x/6 = 30. What is x?
  2. 2.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?
  3. 3.A father is 42 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?
  4. 4.The sum of three consecutive whole numbers is 126. What is the smallest of them?
  5. 5.Solve: 4(t − 5) = t + 25. What is t?
  6. 6.Solve: m/3 + m/2 = 5. What is m?
  7. 7.Solve: 6n + 18 = 3n + 42. What is n?
  8. 8.A father is 9 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  9. 9.Solve: m/3 + m/4 = 42. What is m?
  10. 10.Solve: 6(n − 1) = 3n + 15. What is n?
  11. 11.The length of a rectangle is 10 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  12. 12.Solve: 6y + 11 = y + 26. What is y?
  13. 13.Solve: t/2 + t/4 = 9. What is t?
  14. 14.The length of a rectangle is 12 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  15. 15.The sum of two consecutive whole numbers is 73. What is the smallest of them?
  16. 16.Solve: n/3 + n/6 = 24. What is n?
  17. 17.Solve: 8m + 20 = 4m + 36. What is m?
  18. 18.The sum of two consecutive whole numbers is 113. What is the largest of them?
  19. 19.A father is 15 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  20. 20.Solve: 4(y − 5) = 3y + 1. What is y?
  21. 21.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  22. 22.Solve: 3(x − 4) = x + 10. What is x?
  23. 23.The sum of three consecutive whole numbers is 63. What is the largest of them?
  24. 24.Solve: 3m + 3 = 2m + 5. What is m?
  25. 25.The sum of two consecutive whole numbers is 79. What is the smallest of them?
  26. 26.Solve: n/5 + n/3 = 40. What is n?
  27. 27.A father is 16 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?
  28. 28.Solve: y/6 + y/2 = 28. What is y?
  29. 29.Solve: 5(x − 3) = 3x + 15. What is x?
  30. 30.Solve: 4(y − 5) = 3y + 4. What is y?
  31. 31.A father is 22 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?
  32. 32.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  33. 33.Solve: n/6 + n/5 = 22. What is n?
  34. 34.Solve: m/6 + m/3 = 21. What is m?
  35. 35.The length of a rectangle is 9 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  36. 36.Solve: 6(t − 5) = 5t + 10. What is t?
  37. 37.Solve: 7t + 5 = 3t + 61. What is t?
  38. 38.Solve: 7p + 11 = 6p + 25. What is p?
  39. 39.Solve: p/4 + p/5 = 63. What is p?
  40. 40.A father is 45 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?

Answer key

  1. 72
  2. 12
  3. 6
  4. 41
  5. 15
  6. 6
  7. 8
  8. 3
  9. 72
  10. 7
  11. 6
  12. 3
  13. 12
  14. 17
  15. 36
  16. 48
  17. 4
  18. 57
  19. 10
  20. 21
  21. 10
  22. 11
  23. 22
  24. 2
  25. 39
  26. 75
  27. 2
  28. 42
  29. 15
  30. 24
  31. 3
  32. 9
  33. 60
  34. 42
  35. 10
  36. 40
  37. 14
  38. 14
  39. 140
  40. 8

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