← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 732 · 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: 8n + 3 = 4n + 35. What is n?
  2. 2.Solve: y/2 + y/3 = 5. What is y?
  3. 3.Solve: 5(t − 2) = 2t + 35. What is t?
  4. 4.Solve: 7p + 17 = 3p + 41. What is p?
  5. 5.A father is 15 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  6. 6.A father is 14 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?
  7. 7.A father is 15 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?
  8. 8.A father is 10 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?
  9. 9.Solve: 4x + 2 = x + 29. What is x?
  10. 10.Solve: 5(m − 3) = m + 33. What is m?
  11. 11.Solve: x/6 + x/5 = 44. What is x?
  12. 12.The sum of two consecutive whole numbers is 109. What is the smallest of them?
  13. 13.The length of a rectangle is 8 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  14. 14.The length of a rectangle is 4 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  15. 15.The length of a rectangle is 14 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  16. 16.Solve: 3(m − 2) = m + 10. What is m?
  17. 17.Solve: 5(t − 2) = 2t + 8. What is t?
  18. 18.Solve: 3(m − 2) = m + 20. What is m?
  19. 19.Solve: 5x + 14 = 4x + 23. What is x?
  20. 20.Solve: 6(x − 1) = 5x + 2. What is x?
  21. 21.Solve: 6x + 14 = 2x + 22. What is x?
  22. 22.Solve: 8n + 1 = 7n + 7. What is n?
  23. 23.Solve: 3(t − 1) = t + 15. What is t?
  24. 24.The length of a rectangle is 5 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  25. 25.The sum of four consecutive whole numbers is 162. What is the largest of them?
  26. 26.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?
  27. 27.Solve: 3m + 10 = 2m + 16. What is m?
  28. 28.Solve: 5(y − 2) = 3y + 10. What is y?
  29. 29.A father is 21 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?
  30. 30.The sum of three consecutive whole numbers is 144. What is the smallest of them?
  31. 31.The length of a rectangle is 6 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  32. 32.The sum of four consecutive whole numbers is 26. What is the smallest of them?
  33. 33.The sum of two consecutive whole numbers is 69. What is the largest of them?
  34. 34.The length of a rectangle is 8 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  35. 35.The sum of two consecutive whole numbers is 67. What is the smallest of them?
  36. 36.Solve: 8m + 3 = 5m + 9. What is m?
  37. 37.Solve: t/3 + t/6 = 6. What is t?
  38. 38.Solve: 6(x − 1) = 2x + 10. What is x?
  39. 39.Solve: 6y + 13 = 2y + 45. What is y?
  40. 40.Solve: 5(m − 4) = 3m + 12. What is m?

Answer key

  1. 8
  2. 6
  3. 15
  4. 6
  5. 4
  6. 5
  7. 2
  8. 2
  9. 9
  10. 12
  11. 120
  12. 54
  13. 4
  14. 3
  15. 8
  16. 8
  17. 6
  18. 13
  19. 9
  20. 8
  21. 2
  22. 6
  23. 9
  24. 21
  25. 42
  26. 10
  27. 6
  28. 10
  29. 5
  30. 47
  31. 3
  32. 5
  33. 35
  34. 24
  35. 33
  36. 2
  37. 12
  38. 4
  39. 8
  40. 16

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