← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 160 · 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 15 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  2. 2.The length of a rectangle is 3 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  3. 3.A father is 20 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  4. 4.A father is 32 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  5. 5.Solve: 6(y − 4) = 3y + 33. What is y?
  6. 6.Solve: 7y + 14 = 3y + 30. What is y?
  7. 7.Solve: 3y + 13 = 2y + 24. What is y?
  8. 8.The sum of four consecutive whole numbers is 206. What is the largest of them?
  9. 9.Solve: y/6 + y/5 = 22. What is y?
  10. 10.Solve: 6(x − 4) = 2x + 12. What is x?
  11. 11.Solve: 3(p − 2) = p + 18. What is p?
  12. 12.Solve: 5(y − 2) = 2y + 17. What is y?
  13. 13.Solve: 4(m − 1) = 3m + 4. What is m?
  14. 14.Solve: 4y + 3 = y + 30. What is y?
  15. 15.Solve: 3(x − 3) = 2x + 10. What is x?
  16. 16.Solve: 5(t − 3) = 4t + 10. What is t?
  17. 17.A father is 12 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?
  18. 18.The length of a rectangle is 5 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  19. 19.Solve: 8m + 18 = 4m + 62. What is m?
  20. 20.The length of a rectangle is 9 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  21. 21.Solve: 5n + 4 = 4n + 19. What is n?
  22. 22.Solve: 7m + 4 = m + 22. What is m?
  23. 23.Solve: 6(n − 5) = 5n + 12. What is n?
  24. 24.Solve: 7n + 5 = 5n + 35. What is n?
  25. 25.The length of a rectangle is 8 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  26. 26.The length of a rectangle is 5 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  27. 27.A father is 22 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  28. 28.Solve: 5t + 3 = 3t + 9. What is t?
  29. 29.The length of a rectangle is 13 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  30. 30.Solve: 5(p − 4) = 3p + 6. What is p?
  31. 31.Solve: n/6 + n/2 = 32. What is n?
  32. 32.The sum of three consecutive whole numbers is 114. What is the largest of them?
  33. 33.Solve: t/4 + t/6 = 5. What is t?
  34. 34.Solve: 3(y − 2) = y + 24. What is y?
  35. 35.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?
  36. 36.Solve: 4(y − 4) = 2y + 26. What is y?
  37. 37.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?
  38. 38.The length of a rectangle is 13 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  39. 39.Solve: 3p + 19 = p + 25. What is p?
  40. 40.The length of a rectangle is 6 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?

Answer key

  1. 12
  2. 27
  3. 5
  4. 11
  5. 19
  6. 4
  7. 11
  8. 53
  9. 60
  10. 9
  11. 12
  12. 9
  13. 8
  14. 9
  15. 19
  16. 25
  17. 2
  18. 24
  19. 11
  20. 2
  21. 15
  22. 3
  23. 42
  24. 15
  25. 8
  26. 16
  27. 9
  28. 3
  29. 3
  30. 13
  31. 48
  32. 39
  33. 12
  34. 15
  35. 2
  36. 21
  37. 4
  38. 19
  39. 3
  40. 2

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