← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 742 · 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: 4p + 4 = 2p + 32. What is p?
  2. 2.Solve: y/4 + y/6 = 20. What is y?
  3. 3.Solve: 4x + 18 = x + 33. What is x?
  4. 4.Solve: 4(t − 2) = 2t + 22. What is t?
  5. 5.Solve: p/2 + p/4 = 9. What is p?
  6. 6.Solve: 6p + 3 = p + 8. What is p?
  7. 7.The length of a rectangle is 12 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  8. 8.The sum of two consecutive whole numbers is 39. What is the largest of them?
  9. 9.Solve: 4(t − 1) = t + 17. What is t?
  10. 10.A father is 11 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  11. 11.The length of a rectangle is 10 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  12. 12.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  13. 13.Solve: x/4 + x/6 = 25. What is x?
  14. 14.Solve: y/6 + y/3 = 21. What is y?
  15. 15.A father is 33 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?
  16. 16.The sum of two consecutive whole numbers is 41. What is the smallest of them?
  17. 17.The length of a rectangle is 14 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  18. 18.The length of a rectangle is 13 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  19. 19.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  20. 20.Solve: y/2 + y/5 = 56. What is y?
  21. 21.The sum of three consecutive whole numbers is 72. What is the largest of them?
  22. 22.Solve: 6(m − 5) = 3m + 3. What is m?
  23. 23.A father is 18 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  24. 24.The sum of three consecutive whole numbers is 30. What is the smallest of them?
  25. 25.The sum of two consecutive whole numbers is 69. What is the largest of them?
  26. 26.Solve: 4(n − 1) = 2n + 2. What is n?
  27. 27.Solve: 4(t − 3) = 3t + 10. What is t?
  28. 28.A father is 27 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  29. 29.Solve: 4n + 16 = n + 40. What is n?
  30. 30.Solve: y/5 + y/2 = 56. What is y?
  31. 31.Solve: 5(t − 2) = 2t + 8. What is t?
  32. 32.The length of a rectangle is 1 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  33. 33.A father is 30 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  34. 34.Solve: p/2 + p/6 = 8. What is p?
  35. 35.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  36. 36.A father is 14 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  37. 37.Solve: 8n + 9 = n + 30. What is n?
  38. 38.The length of a rectangle is 8 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  39. 39.The length of a rectangle is 1 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  40. 40.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?

Answer key

  1. 14
  2. 48
  3. 5
  4. 15
  5. 12
  6. 1
  7. 4
  8. 20
  9. 7
  10. 5
  11. 2
  12. 6
  13. 60
  14. 42
  15. 7
  16. 20
  17. 3
  18. 4
  19. 12
  20. 80
  21. 25
  22. 11
  23. 12
  24. 9
  25. 35
  26. 3
  27. 22
  28. 6
  29. 8
  30. 80
  31. 6
  32. 15
  33. 7
  34. 12
  35. 2
  36. 12
  37. 3
  38. 16
  39. 28
  40. 4

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