← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 915 · 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.The length of a rectangle is 13 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  2. 2.The length of a rectangle is 10 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  3. 3.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?
  4. 4.Solve: 6m + 20 = 5m + 34. What is m?
  5. 5.Solve: 6x + 18 = x + 43. What is x?
  6. 6.The length of a rectangle is 13 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  7. 7.The length of a rectangle is 5 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  8. 8.Solve: 6(y − 2) = 2y + 4. What is y?
  9. 9.A father is 30 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?
  10. 10.Solve: t/2 + t/3 = 20. What is t?
  11. 11.Solve: m/4 + m/2 = 3. What is m?
  12. 12.Solve: 8p + 4 = 3p + 9. What is p?
  13. 13.The sum of three consecutive whole numbers is 36. What is the largest of them?
  14. 14.Solve: 5p + 17 = 4p + 20. What is p?
  15. 15.The length of a rectangle is 3 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  16. 16.Solve: y/5 + y/2 = 49. What is y?
  17. 17.The length of a rectangle is 10 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  18. 18.Solve: 4p + 16 = 3p + 18. What is p?
  19. 19.Solve: x/5 + x/6 = 66. What is x?
  20. 20.A father is 30 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?
  21. 21.The sum of two consecutive whole numbers is 25. What is the smallest of them?
  22. 22.Solve: 8y + 13 = 3y + 48. What is y?
  23. 23.A father is 24 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?
  24. 24.Solve: 6(p − 3) = 2p + 2. What is p?
  25. 25.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  26. 26.Solve: 7y + 7 = 2y + 42. What is y?
  27. 27.A father is 36 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?
  28. 28.The length of a rectangle is 2 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  29. 29.The length of a rectangle is 11 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  30. 30.A father is 26 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?
  31. 31.The length of a rectangle is 6 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  32. 32.The length of a rectangle is 11 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  33. 33.The length of a rectangle is 6 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  34. 34.Solve: 4t + 2 = 2t + 20. What is t?
  35. 35.Solve: 4n + 15 = n + 24. What is n?
  36. 36.The length of a rectangle is 7 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  37. 37.The sum of four consecutive whole numbers is 218. What is the largest of them?
  38. 38.Solve: 3(p − 1) = p + 5. What is p?
  39. 39.Solve: p/3 + p/2 = 40. What is p?
  40. 40.Solve: 3(y − 1) = y + 5. What is y?

Answer key

  1. 2
  2. 16
  3. 4
  4. 14
  5. 5
  6. 3
  7. 3
  8. 4
  9. 2
  10. 24
  11. 4
  12. 1
  13. 13
  14. 3
  15. 15
  16. 70
  17. 10
  18. 2
  19. 180
  20. 4
  21. 12
  22. 7
  23. 7
  24. 5
  25. 2
  26. 7
  27. 7
  28. 14
  29. 7
  30. 10
  31. 24
  32. 11
  33. 30
  34. 9
  35. 3
  36. 2
  37. 56
  38. 4
  39. 48
  40. 4

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