← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 963 · 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: 6(x − 1) = x + 64. What is x?
  2. 2.Solve: 3(p − 1) = p + 5. What is p?
  3. 3.Solve: 9t + 2 = 8t + 11. What is t?
  4. 4.Solve: 4(y − 2) = 2y + 20. What is y?
  5. 5.Solve: 3(p − 1) = 2p + 5. What is p?
  6. 6.Solve: 5n + 5 = 3n + 35. What is n?
  7. 7.The sum of three consecutive whole numbers is 69. What is the largest of them?
  8. 8.The sum of two consecutive whole numbers is 121. What is the largest of them?
  9. 9.The length of a rectangle is 7 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  10. 10.Solve: x/6 + x/2 = 8. What is x?
  11. 11.Solve: 5x + 3 = x + 51. What is x?
  12. 12.Solve: 6(n − 2) = 3n + 18. What is n?
  13. 13.A father is 10 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?
  14. 14.A father is 10 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  15. 15.Solve: 5(x − 3) = 3x + 23. What is x?
  16. 16.A father is 36 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?
  17. 17.The length of a rectangle is 9 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  18. 18.Solve: 7t + 18 = 5t + 48. What is t?
  19. 19.Solve: 6p + 7 = 4p + 15. What is p?
  20. 20.Solve: y/6 + y/4 = 15. What is y?
  21. 21.The sum of four consecutive whole numbers is 206. What is the smallest of them?
  22. 22.Solve: m/6 + m/3 = 9. What is m?
  23. 23.A father is 12 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  24. 24.A father is 20 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?
  25. 25.Solve: 7m + 5 = 5m + 23. What is m?
  26. 26.Solve: 5(n − 3) = 3n + 13. What is n?
  27. 27.Solve: 5(y − 5) = 4y + 12. What is y?
  28. 28.The length of a rectangle is 8 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  29. 29.Solve: 6(x − 1) = 5x + 13. What is x?
  30. 30.A father is 42 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?
  31. 31.Solve: 6n + 4 = n + 19. What is n?
  32. 32.Solve: 4(t − 2) = 2t + 22. What is t?
  33. 33.The length of a rectangle is 12 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  34. 34.Solve: x/5 + x/2 = 21. What is x?
  35. 35.A father is 16 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  36. 36.The sum of two consecutive whole numbers is 117. What is the largest of them?
  37. 37.A father is 45 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?
  38. 38.Solve: 4(t − 5) = 3t + 4. What is t?
  39. 39.Solve: 4t + 15 = 3t + 20. What is t?
  40. 40.The sum of three consecutive whole numbers is 24. What is the largest of them?

Answer key

  1. 14
  2. 4
  3. 9
  4. 14
  5. 8
  6. 15
  7. 24
  8. 61
  9. 27
  10. 12
  11. 12
  12. 10
  13. 3
  14. 8
  15. 19
  16. 6
  17. 7
  18. 15
  19. 4
  20. 36
  21. 50
  22. 18
  23. 7
  24. 2
  25. 9
  26. 14
  27. 37
  28. 16
  29. 19
  30. 10
  31. 3
  32. 15
  33. 25
  34. 30
  35. 11
  36. 59
  37. 12
  38. 24
  39. 5
  40. 9

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