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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 126 · 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: p/5 + p/4 = 54. What is p?
  2. 2.Solve: m/5 + m/2 = 14. What is m?
  3. 3.Solve: p/5 + p/3 = 48. What is p?
  4. 4.Solve: 4(x − 3) = x + 18. What is x?
  5. 5.Solve: 3(p − 2) = p + 26. What is p?
  6. 6.Solve: 5(y − 2) = 2y + 14. What is y?
  7. 7.Solve: 5(y − 3) = 4y + 8. What is y?
  8. 8.The length of a rectangle is 4 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  9. 9.Solve: n/5 + n/6 = 11. What is n?
  10. 10.Solve: n/2 + n/5 = 14. What is n?
  11. 11.Solve: 6(y − 3) = 2y + 6. What is y?
  12. 12.Solve: 5m + 18 = 2m + 33. What is m?
  13. 13.Solve: m/6 + m/2 = 20. What is m?
  14. 14.Solve: p/3 + p/4 = 56. What is p?
  15. 15.The length of a rectangle is 6 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  16. 16.Solve: p/3 + p/6 = 9. What is p?
  17. 17.Solve: 4n + 18 = 2n + 38. What is n?
  18. 18.Solve: t/2 + t/3 = 15. What is t?
  19. 19.A father is 51 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  20. 20.Solve: t/4 + t/5 = 45. What is t?
  21. 21.Solve: 4y + 6 = 2y + 10. What is y?
  22. 22.Solve: 6(n − 5) = 5n + 3. What is n?
  23. 23.A father is 11 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  24. 24.Solve: m/4 + m/2 = 9. What is m?
  25. 25.Solve: 6(m − 2) = 4m + 6. What is m?
  26. 26.Solve: 4t + 5 = 3t + 7. What is t?
  27. 27.The length of a rectangle is 1 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  28. 28.Solve: 9m + 10 = 2m + 101. What is m?
  29. 29.Solve: 4(t − 5) = 3t + 10. What is t?
  30. 30.Solve: y/3 + y/5 = 16. What is y?
  31. 31.The length of a rectangle is 4 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  33. 33.Solve: 6(p − 5) = 2p + 34. What is p?
  34. 34.Solve: 3y + 19 = y + 27. What is y?
  35. 35.Solve: x/3 + x/4 = 35. What is x?
  36. 36.Solve: 6x + 12 = 4x + 36. What is x?
  37. 37.Solve: 5(n − 1) = 3n + 11. What is n?
  38. 38.The sum of two consecutive whole numbers is 37. What is the largest of them?
  39. 39.The length of a rectangle is 10 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
  40. 40.A father is 24 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?

Answer key

  1. 120
  2. 20
  3. 90
  4. 10
  5. 16
  6. 8
  7. 23
  8. 20
  9. 30
  10. 20
  11. 6
  12. 5
  13. 30
  14. 96
  15. 10
  16. 18
  17. 10
  18. 18
  19. 12
  20. 100
  21. 2
  22. 33
  23. 9
  24. 12
  25. 9
  26. 2
  27. 5
  28. 13
  29. 30
  30. 30
  31. 7
  32. 18
  33. 16
  34. 4
  35. 60
  36. 12
  37. 8
  38. 19
  39. 30
  40. 6

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