← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 78 · 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 − 3) = x + 57. What is x?
  2. 2.Solve: 3n + 18 = 2n + 27. What is n?
  3. 3.Solve: x/3 + x/5 = 32. What is x?
  4. 4.The sum of two consecutive whole numbers is 73. What is the largest of them?
  5. 5.A father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  6. 6.Solve: x/2 + x/6 = 20. What is x?
  7. 7.Solve: 6(x − 5) = 3x + 24. What is x?
  8. 8.The length of a rectangle is 13 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  9. 9.Solve: 6(y − 5) = y + 55. What is y?
  10. 10.A father is 10 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  11. 11.Solve: 3(x − 1) = 2x + 6. What is x?
  12. 12.The length of a rectangle is 10 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
  13. 13.Solve: y/3 + y/4 = 56. What is y?
  14. 14.The length of a rectangle is 15 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  15. 15.Solve: 9t + 19 = 8t + 31. What is t?
  16. 16.Solve: 6(p − 2) = 2p + 24. What is p?
  17. 17.The length of a rectangle is 11 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  18. 18.Solve: 4(x − 3) = x + 27. What is x?
  19. 19.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  20. 20.The length of a rectangle is 3 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  21. 21.The length of a rectangle is 7 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  22. 22.Solve: 4(p − 2) = p + 31. What is p?
  23. 23.Solve: 4(n − 1) = n + 20. What is n?
  24. 24.A father is 33 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?
  25. 25.Solve: 3(x − 5) = 2x + 8. What is x?
  26. 26.Solve: 3(p − 2) = p + 8. What is p?
  27. 27.Solve: y/2 + y/6 = 4. What is y?
  28. 28.The sum of three consecutive whole numbers is 66. What is the largest of them?
  29. 29.Solve: 3(p − 4) = p + 24. What is p?
  30. 30.Solve: 7x + 3 = 4x + 12. What is x?
  31. 31.The sum of two consecutive whole numbers is 97. What is the smallest of them?
  32. 32.The sum of two consecutive whole numbers is 85. What is the smallest of them?
  33. 33.The sum of two consecutive whole numbers is 77. What is the smallest of them?
  34. 34.The sum of two consecutive whole numbers is 31. What is the smallest of them?
  35. 35.Solve: 6(t − 2) = t + 43. What is t?
  36. 36.Solve: x/2 + x/5 = 35. What is x?
  37. 37.Solve: 4(x − 4) = 3x + 2. What is x?
  38. 38.The sum of two consecutive whole numbers is 81. What is the largest of them?
  39. 39.The sum of four consecutive whole numbers is 146. What is the largest of them?
  40. 40.The sum of four consecutive whole numbers is 38. What is the largest of them?

Answer key

  1. 15
  2. 9
  3. 60
  4. 37
  5. 2
  6. 30
  7. 18
  8. 19
  9. 17
  10. 5
  11. 9
  12. 30
  13. 96
  14. 13
  15. 12
  16. 9
  17. 29
  18. 13
  19. 10
  20. 26
  21. 5
  22. 13
  23. 8
  24. 8
  25. 23
  26. 7
  27. 6
  28. 23
  29. 18
  30. 3
  31. 48
  32. 42
  33. 38
  34. 15
  35. 11
  36. 50
  37. 18
  38. 41
  39. 38
  40. 11

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