← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 707 · 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: 4(y − 3) = 2y + 22. What is y?
  2. 2.Solve: p/6 + p/4 = 20. What is p?
  3. 3.A father is 32 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?
  4. 4.Solve: 6(m − 1) = 5m + 12. What is m?
  5. 5.A father is 10 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  6. 6.A father is 32 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  7. 7.Solve: 6(y − 2) = 5y + 11. What is y?
  8. 8.The sum of four consecutive whole numbers is 198. What is the largest of them?
  9. 9.The length of a rectangle is 10 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  10. 10.Solve: 3(x − 3) = x + 5. What is x?
  11. 11.Solve: 3(y − 4) = 2y + 8. What is y?
  12. 12.Solve: 3(y − 5) = 2y + 11. What is y?
  13. 13.The sum of four consecutive whole numbers is 98. What is the smallest of them?
  14. 14.Solve: 3(t − 1) = t + 7. What is t?
  15. 15.Solve: 3(x − 4) = 2x + 13. What is x?
  16. 16.Solve: 5(x − 4) = 2x + 4. What is x?
  17. 17.The sum of three consecutive whole numbers is 27. What is the smallest of them?
  18. 18.Solve: m/2 + m/4 = 18. What is m?
  19. 19.A father is 36 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?
  20. 20.Solve: 8y + 10 = 2y + 40. What is y?
  21. 21.Solve: 9t + 14 = 6t + 35. What is t?
  22. 22.Solve: y/4 + y/5 = 54. What is y?
  23. 23.The sum of two consecutive whole numbers is 113. What is the largest of them?
  24. 24.Solve: 5(m − 2) = 4m + 5. What is m?
  25. 25.Solve: 3p + 18 = p + 34. What is p?
  26. 26.Solve: 4(y − 5) = y + 4. What is y?
  27. 27.The sum of two consecutive whole numbers is 81. What is the largest of them?
  28. 28.A father is 15 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  29. 29.The length of a rectangle is 12 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  30. 30.The length of a rectangle is 9 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  31. 31.Solve: p/5 + p/4 = 36. What is p?
  32. 32.Solve: 7n + 3 = 5n + 27. What is n?
  33. 33.Solve: 4x + 10 = 2x + 32. What is x?
  34. 34.The sum of two consecutive whole numbers is 79. What is the largest of them?
  35. 35.Solve: 7m + 4 = 3m + 44. What is m?
  36. 36.Solve: m/5 + m/3 = 24. What is m?
  37. 37.The sum of two consecutive whole numbers is 77. What is the smallest of them?
  38. 38.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?
  39. 39.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?
  40. 40.The length of a rectangle is 13 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?

Answer key

  1. 17
  2. 48
  3. 8
  4. 18
  5. 3
  6. 12
  7. 23
  8. 51
  9. 3
  10. 7
  11. 20
  12. 26
  13. 23
  14. 5
  15. 25
  16. 8
  17. 8
  18. 24
  19. 11
  20. 5
  21. 7
  22. 120
  23. 57
  24. 15
  25. 8
  26. 8
  27. 41
  28. 10
  29. 8
  30. 13
  31. 80
  32. 12
  33. 11
  34. 40
  35. 10
  36. 45
  37. 38
  38. 9
  39. 4
  40. 9

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