← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 291 · 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/3 + n/2 = 35. What is n?
  2. 2.Solve: 9t + 16 = 4t + 56. What is t?
  3. 3.Solve: 8x + 3 = 4x + 39. What is x?
  4. 4.The sum of two consecutive whole numbers is 73. What is the largest of them?
  5. 5.Solve: 6(m − 1) = 4m + 18. What is m?
  6. 6.The length of a rectangle is 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  7. 7.Solve: 6(n − 3) = 2n + 42. What is n?
  8. 8.Solve: 3(x − 4) = x + 2. What is x?
  9. 9.The sum of four consecutive whole numbers is 242. What is the smallest of them?
  10. 10.The length of a rectangle is 15 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  11. 11.Solve: 7p + 1 = p + 55. What is p?
  12. 12.The sum of two consecutive whole numbers is 113. What is the largest of them?
  13. 13.A father is 13 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  14. 14.Solve: 4(x − 3) = x + 33. What is x?
  15. 15.Solve: 9m + 17 = 8m + 20. What is m?
  16. 16.A father is 45 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  17. 17.Solve: 5(y − 3) = 4y + 12. What is y?
  18. 18.Solve: p/3 + p/4 = 21. What is p?
  19. 19.Solve: x/6 + x/4 = 35. What is x?
  20. 20.The length of a rectangle is 1 cm more than its width. Its perimeter is 10 cm. What is its width (in cm)?
  21. 21.Solve: 9t + 15 = 6t + 51. What is t?
  22. 22.Solve: x/4 + x/6 = 35. What is x?
  23. 23.The sum of two consecutive whole numbers is 53. What is the largest of them?
  24. 24.Solve: p/3 + p/5 = 48. What is p?
  25. 25.A father is 18 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?
  26. 26.A father is 30 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?
  27. 27.A father is 33 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?
  28. 28.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?
  29. 29.The sum of two consecutive whole numbers is 103. What is the smallest of them?
  30. 30.The sum of three consecutive whole numbers is 33. What is the largest of them?
  31. 31.The sum of two consecutive whole numbers is 45. What is the smallest of them?
  32. 32.The sum of three consecutive whole numbers is 153. What is the smallest of them?
  33. 33.Solve: 8m + 3 = 5m + 9. What is m?
  34. 34.The sum of two consecutive whole numbers is 97. What is the smallest of them?
  35. 35.A father is 30 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  36. 36.Solve: 4p + 4 = 3p + 5. What is p?
  37. 37.The sum of two consecutive whole numbers is 15. What is the smallest of them?
  38. 38.Solve: 5(m − 2) = 2m + 14. What is m?
  39. 39.Solve: p/6 + p/3 = 18. What is p?
  40. 40.Solve: 6p + 4 = 2p + 44. What is p?

Answer key

  1. 42
  2. 8
  3. 9
  4. 37
  5. 12
  6. 19
  7. 15
  8. 7
  9. 59
  10. 27
  11. 9
  12. 57
  13. 10
  14. 15
  15. 3
  16. 10
  17. 27
  18. 36
  19. 84
  20. 2
  21. 12
  22. 84
  23. 27
  24. 90
  25. 3
  26. 7
  27. 5
  28. 9
  29. 51
  30. 12
  31. 22
  32. 50
  33. 2
  34. 48
  35. 8
  36. 1
  37. 7
  38. 8
  39. 36
  40. 10

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