← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 744 · 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: 5(x − 1) = 2x + 28. What is x?
  2. 2.The sum of three consecutive whole numbers is 21. What is the smallest of them?
  3. 3.Solve: x/2 + x/3 = 40. What is x?
  4. 4.Solve: 4t + 17 = t + 44. What is t?
  5. 5.The sum of three consecutive whole numbers is 18. What is the largest of them?
  6. 6.The length of a rectangle is 13 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  7. 7.Solve: 7t + 6 = 4t + 12. What is t?
  8. 8.Solve: 8m + 11 = 5m + 47. What is m?
  9. 9.Solve: 3(m − 4) = 2m + 8. What is m?
  10. 10.The length of a rectangle is 3 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  11. 11.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  12. 12.Solve: 4(n − 1) = 2n + 2. What is n?
  13. 13.Solve: 3(n − 3) = n + 21. What is n?
  14. 14.A father is 27 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  15. 15.Solve: 9m + 3 = 6m + 12. What is m?
  16. 16.Solve: 4x + 2 = 2x + 10. What is x?
  17. 17.The length of a rectangle is 7 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  18. 18.The sum of two consecutive whole numbers is 31. What is the smallest of them?
  19. 19.Solve: y/5 + y/4 = 18. What is y?
  20. 20.Solve: 4(t − 5) = 3t + 3. What is t?
  21. 21.Solve: 6(p − 2) = 2p + 20. What is p?
  22. 22.Solve: 4(p − 1) = p + 20. What is p?
  23. 23.The sum of two consecutive whole numbers is 117. What is the largest of them?
  24. 24.Solve: 8n + 12 = 4n + 32. What is n?
  25. 25.Solve: 5t + 2 = 3t + 14. What is t?
  26. 26.Solve: 3n + 17 = n + 37. What is n?
  27. 27.The length of a rectangle is 2 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  28. 28.Solve: 3(p − 3) = p + 13. What is p?
  29. 29.Solve: 3n + 12 = 2n + 13. What is n?
  30. 30.Solve: y/2 + y/6 = 8. What is y?
  31. 31.The length of a rectangle is 12 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  32. 32.A father is 30 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  33. 33.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?
  34. 34.Solve: 4x + 12 = x + 33. What is x?
  35. 35.Solve: y/6 + y/4 = 20. What is y?
  36. 36.Solve: 6m + 7 = m + 57. What is m?
  37. 37.A father is 54 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?
  38. 38.The sum of two consecutive whole numbers is 29. What is the largest of them?
  39. 39.The sum of three consecutive whole numbers is 42. What is the smallest of them?
  40. 40.The sum of two consecutive whole numbers is 17. What is the largest of them?

Answer key

  1. 11
  2. 6
  3. 48
  4. 9
  5. 7
  6. 18
  7. 2
  8. 12
  9. 20
  10. 26
  11. 9
  12. 3
  13. 15
  14. 7
  15. 3
  16. 4
  17. 23
  18. 15
  19. 40
  20. 23
  21. 8
  22. 8
  23. 59
  24. 5
  25. 6
  26. 10
  27. 23
  28. 11
  29. 1
  30. 12
  31. 14
  32. 12
  33. 3
  34. 7
  35. 48
  36. 10
  37. 12
  38. 15
  39. 13
  40. 9

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