← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 381 · 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 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  2. 2.Solve: n/6 + n/3 = 18. What is n?
  3. 3.Solve: 4p + 2 = p + 44. What is p?
  4. 4.The sum of three consecutive whole numbers is 123. What is the largest of them?
  5. 5.The sum of two consecutive whole numbers is 101. What is the smallest of them?
  6. 6.The sum of two consecutive whole numbers is 59. What is the smallest of them?
  7. 7.Solve: 9x + 3 = 6x + 15. What is x?
  8. 8.The length of a rectangle is 5 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  9. 9.The sum of three consecutive whole numbers is 183. What is the largest of them?
  10. 10.Solve: 5(p − 2) = 3p + 26. What is p?
  11. 11.Solve: 4y + 15 = y + 27. What is y?
  12. 12.The length of a rectangle is 2 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  13. 13.Solve: m/5 + m/4 = 27. What is m?
  14. 14.Solve: 3(x − 5) = x + 5. What is x?
  15. 15.Solve: 9p + 4 = p + 124. What is p?
  16. 16.Solve: 5(n − 1) = n + 43. What is n?
  17. 17.Solve: x/3 + x/2 = 25. What is x?
  18. 18.The length of a rectangle is 4 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  19. 19.Solve: 9m + 19 = 7m + 43. What is m?
  20. 20.Solve: 3(x − 5) = x + 17. What is x?
  21. 21.Solve: 6x + 16 = 2x + 56. What is x?
  22. 22.The sum of two consecutive whole numbers is 87. What is the smallest of them?
  23. 23.Solve: 8p + 10 = 3p + 15. What is p?
  24. 24.Solve: m/6 + m/3 = 12. What is m?
  25. 25.The sum of four consecutive whole numbers is 202. What is the largest of them?
  26. 26.Solve: 3(t − 1) = t + 9. What is t?
  27. 27.The length of a rectangle is 10 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  28. 28.A father is 5 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.Solve: 6(p − 1) = p + 49. What is p?
  30. 30.Solve: 5p + 1 = 2p + 40. What is p?
  31. 31.Solve: 5y + 3 = 4y + 7. What is y?
  32. 32.The sum of two consecutive whole numbers is 21. What is the smallest of them?
  33. 33.Solve: 7y + 2 = 3y + 6. What is y?
  34. 34.The length of a rectangle is 11 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  35. 35.Solve: 4n + 17 = 2n + 41. What is n?
  36. 36.Solve: 3p + 18 = p + 38. What is p?
  37. 37.Solve: 4(x − 5) = x + 7. What is x?
  38. 38.The sum of three consecutive whole numbers is 150. What is the smallest of them?
  39. 39.Solve: 4(p − 4) = p + 11. What is p?
  40. 40.Solve: 5(n − 1) = 3n + 9. What is n?

Answer key

  1. 9
  2. 36
  3. 14
  4. 42
  5. 50
  6. 29
  7. 4
  8. 6
  9. 62
  10. 18
  11. 4
  12. 27
  13. 60
  14. 10
  15. 15
  16. 12
  17. 30
  18. 19
  19. 12
  20. 16
  21. 10
  22. 43
  23. 1
  24. 24
  25. 52
  26. 6
  27. 7
  28. 3
  29. 11
  30. 13
  31. 4
  32. 10
  33. 1
  34. 17
  35. 12
  36. 10
  37. 9
  38. 49
  39. 9
  40. 7

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