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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 494 · 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 sum of four consecutive whole numbers is 34. What is the largest of them?
  2. 2.Solve: 6(m − 4) = 3m + 21. What is m?
  3. 3.Solve: 6(p − 1) = p + 54. What is p?
  4. 4.A father is 24 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?
  5. 5.Solve: 5(y − 2) = y + 22. What is y?
  6. 6.The length of a rectangle is 7 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  7. 7.Solve: y/4 + y/2 = 9. What is y?
  8. 8.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?
  9. 9.The length of a rectangle is 6 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  10. 10.The length of a rectangle is 14 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  11. 11.Solve: 9t + 11 = 3t + 53. What is t?
  12. 12.Solve: 6(t − 4) = 5t + 3. What is t?
  13. 13.A father is 13 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  14. 14.The length of a rectangle is 5 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  15. 15.The length of a rectangle is 1 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  16. 16.Solve: p/5 + p/4 = 36. What is p?
  17. 17.The sum of two consecutive whole numbers is 85. What is the smallest of them?
  18. 18.Solve: n/5 + n/2 = 14. What is n?
  19. 19.Solve: 6y + 20 = 2y + 72. What is y?
  20. 20.Solve: 4n + 4 = 2n + 18. What is n?
  21. 21.The sum of two consecutive whole numbers is 67. What is the largest of them?
  22. 22.Solve: 6(m − 3) = 2m + 6. What is m?
  23. 23.A father is 18 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  24. 24.A father is 20 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  25. 25.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?
  26. 26.Solve: 7t + 3 = t + 81. What is t?
  27. 27.Solve: m/4 + m/2 = 15. What is m?
  28. 28.Solve: m/3 + m/2 = 30. What is m?
  29. 29.Solve: 9m + 14 = 4m + 44. What is m?
  30. 30.Solve: p/2 + p/6 = 32. What is p?
  31. 31.Solve: 3m + 16 = m + 20. What is m?
  32. 32.Solve: 6x + 3 = x + 53. What is x?
  33. 33.Solve: x/2 + x/4 = 3. What is x?
  34. 34.Solve: n/4 + n/2 = 3. What is n?
  35. 35.The sum of three consecutive whole numbers is 102. What is the smallest of them?
  36. 36.Solve: 5(y − 4) = 3y + 12. What is y?
  37. 37.Solve: 6x + 2 = 4x + 16. What is x?
  38. 38.The length of a rectangle is 4 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  39. 39.Solve: t/2 + t/3 = 5. What is t?
  40. 40.The sum of three consecutive whole numbers is 72. What is the smallest of them?

Answer key

  1. 10
  2. 15
  3. 12
  4. 9
  5. 8
  6. 13
  7. 12
  8. 3
  9. 2
  10. 8
  11. 7
  12. 27
  13. 5
  14. 3
  15. 10
  16. 80
  17. 42
  18. 20
  19. 13
  20. 7
  21. 34
  22. 6
  23. 10
  24. 4
  25. 9
  26. 13
  27. 20
  28. 36
  29. 6
  30. 48
  31. 2
  32. 10
  33. 4
  34. 4
  35. 33
  36. 16
  37. 7
  38. 8
  39. 6
  40. 23

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