← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 280 · 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: 5t + 5 = 2t + 38. What is t?
  2. 2.The sum of four consecutive whole numbers is 202. What is the smallest of them?
  3. 3.The sum of two consecutive whole numbers is 71. What is the smallest of them?
  4. 4.The length of a rectangle is 9 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  5. 5.Solve: p/6 + p/4 = 20. What is p?
  6. 6.Solve: y/2 + y/6 = 16. What is y?
  7. 7.A father is 24 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  8. 8.Solve: 3(x − 1) = x + 23. What is x?
  9. 9.The sum of two consecutive whole numbers is 85. What is the largest of them?
  10. 10.Solve: y/6 + y/3 = 24. What is y?
  11. 11.The length of a rectangle is 4 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  12. 12.Solve: t/3 + t/6 = 3. What is t?
  13. 13.Solve: 6(y − 3) = 5y + 7. What is y?
  14. 14.The sum of three consecutive whole numbers is 63. What is the largest of them?
  15. 15.A father is 30 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  16. 16.The length of a rectangle is 1 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  17. 17.The length of a rectangle is 5 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  18. 18.Solve: m/6 + m/3 = 18. What is m?
  19. 19.The sum of three consecutive whole numbers is 162. What is the smallest of them?
  20. 20.Solve: 6x + 9 = x + 19. What is x?
  21. 21.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  22. 22.The length of a rectangle is 1 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  23. 23.Solve: 9y + 7 = 4y + 12. What is y?
  24. 24.Solve: 8n + 18 = 4n + 58. What is n?
  25. 25.Solve: m/3 + m/5 = 64. What is m?
  26. 26.Solve: 5(t − 1) = 4t + 7. What is t?
  27. 27.Solve: 5t + 1 = 3t + 9. What is t?
  28. 28.A father is 7 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.Solve: x/6 + x/2 = 24. What is x?
  30. 30.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  31. 31.A father is 39 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?
  32. 32.A father is 14 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  33. 33.Solve: x/4 + x/5 = 27. What is x?
  34. 34.Solve: y/4 + y/5 = 18. What is y?
  35. 35.Solve: 4n + 4 = 3n + 8. What is n?
  36. 36.Solve: 4(p − 4) = p + 11. What is p?
  37. 37.Solve: y/5 + y/2 = 21. What is y?
  38. 38.The sum of three consecutive whole numbers is 177. What is the largest of them?
  39. 39.Solve: x/2 + x/3 = 20. What is x?
  40. 40.The length of a rectangle is 3 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?

Answer key

  1. 11
  2. 49
  3. 35
  4. 28
  5. 48
  6. 24
  7. 4
  8. 13
  9. 43
  10. 48
  11. 10
  12. 6
  13. 25
  14. 22
  15. 12
  16. 15
  17. 7
  18. 36
  19. 53
  20. 2
  21. 3
  22. 23
  23. 1
  24. 10
  25. 120
  26. 12
  27. 4
  28. 6
  29. 36
  30. 2
  31. 11
  32. 7
  33. 60
  34. 40
  35. 4
  36. 9
  37. 30
  38. 60
  39. 24
  40. 12

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