← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 794 · 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(p − 3) = 2p + 4. What is p?
  2. 2.The sum of three consecutive whole numbers is 90. What is the smallest of them?
  3. 3.Solve: m/2 + m/6 = 32. What is m?
  4. 4.Solve: p/5 + p/6 = 11. What is p?
  5. 5.The sum of two consecutive whole numbers is 51. What is the smallest of them?
  6. 6.Solve: 6(p − 3) = 5p + 1. What is p?
  7. 7.Solve: 6(p − 4) = 2p + 48. What is p?
  8. 8.The length of a rectangle is 9 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  9. 9.Solve: x/6 + x/4 = 5. What is x?
  10. 10.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?
  11. 11.Solve: 4(t − 2) = 3t + 5. What is t?
  12. 12.Solve: y/6 + y/3 = 3. What is y?
  13. 13.Solve: 6(n − 2) = 5n + 10. What is n?
  14. 14.Solve: 7t + 20 = 2t + 25. What is t?
  15. 15.Solve: 9p + 14 = 2p + 77. What is p?
  16. 16.Solve: y/3 + y/6 = 15. What is y?
  17. 17.The length of a rectangle is 12 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  18. 18.Solve: y/2 + y/6 = 20. What is y?
  19. 19.Solve: t/2 + t/5 = 14. What is t?
  20. 20.The length of a rectangle is 3 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  21. 21.The sum of four consecutive whole numbers is 86. What is the smallest of them?
  22. 22.Solve: 9n + 5 = 6n + 23. What is n?
  23. 23.The length of a rectangle is 10 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  24. 24.The sum of three consecutive whole numbers is 72. What is the smallest of them?
  25. 25.Solve: 3(y − 5) = y + 11. What is y?
  26. 26.Solve: 7t + 2 = 2t + 17. What is t?
  27. 27.Solve: p/2 + p/6 = 8. What is p?
  28. 28.A father is 12 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  29. 29.The sum of two consecutive whole numbers is 111. What is the largest of them?
  30. 30.Solve: n/3 + n/5 = 16. What is n?
  31. 31.Solve: 5(p − 5) = p + 39. What is p?
  32. 32.Solve: y/6 + y/3 = 18. What is y?
  33. 33.The sum of three consecutive whole numbers is 114. What is the largest of them?
  34. 34.Solve: 6(x − 4) = x + 6. What is x?
  35. 35.The length of a rectangle is 6 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  36. 36.Solve: m/3 + m/2 = 30. What is m?
  37. 37.The sum of three consecutive whole numbers is 126. What is the smallest of them?
  38. 38.A father is 13 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.Solve: 3(x − 2) = x + 12. What is x?
  40. 40.Solve: 6n + 3 = 3n + 36. What is n?

Answer key

  1. 8
  2. 29
  3. 48
  4. 30
  5. 25
  6. 19
  7. 18
  8. 18
  9. 12
  10. 4
  11. 13
  12. 6
  13. 22
  14. 1
  15. 9
  16. 30
  17. 9
  18. 30
  19. 20
  20. 18
  21. 20
  22. 6
  23. 16
  24. 23
  25. 13
  26. 3
  27. 12
  28. 10
  29. 56
  30. 30
  31. 16
  32. 36
  33. 39
  34. 6
  35. 19
  36. 36
  37. 41
  38. 12
  39. 9
  40. 11

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