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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 336 · 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 14 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  2. 2.Solve: 5y + 6 = 4y + 8. What is y?
  3. 3.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  4. 4.Solve: p/3 + p/5 = 16. What is p?
  5. 5.The sum of two consecutive whole numbers is 99. What is the smallest of them?
  6. 6.Solve: 6(x − 3) = x + 27. What is x?
  7. 7.Solve: 4y + 16 = 3y + 18. What is y?
  8. 8.The length of a rectangle is 8 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  9. 9.Solve: n/3 + n/5 = 56. What is n?
  10. 10.The length of a rectangle is 7 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  11. 11.Solve: 5(p − 1) = 3p + 13. What is p?
  12. 12.A father is 24 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?
  13. 13.The length of a rectangle is 11 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  14. 14.Solve: 5y + 2 = 2y + 29. What is y?
  15. 15.Solve: 3m + 1 = 2m + 15. What is m?
  16. 16.Solve: 4(m − 2) = 3m + 1. What is m?
  17. 17.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  18. 18.Solve: n/6 + n/2 = 24. What is n?
  19. 19.The sum of three consecutive whole numbers is 126. What is the smallest of them?
  20. 20.The length of a rectangle is 6 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  21. 21.Solve: t/4 + t/2 = 24. What is t?
  22. 22.A father is 9 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  23. 23.Solve: 7y + 18 = 3y + 74. What is y?
  24. 24.Solve: t/2 + t/5 = 49. What is t?
  25. 25.Solve: 7x + 14 = 4x + 59. What is x?
  26. 26.The length of a rectangle is 4 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  27. 27.Solve: y/5 + y/2 = 14. What is y?
  28. 28.A father is 24 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  29. 29.Solve: p/5 + p/6 = 66. What is p?
  30. 30.Solve: 5(x − 5) = 4x + 11. What is x?
  31. 31.Solve: 5(t − 2) = 2t + 8. What is t?
  32. 32.Solve: n/2 + n/3 = 20. What is n?
  33. 33.Solve: 3(y − 1) = 2y + 10. What is y?
  34. 34.Solve: 6(t − 5) = 3t + 12. What is t?
  35. 35.Solve: 4(y − 1) = 3y + 2. What is y?
  36. 36.A father is 12 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  37. 37.Solve: 3(n − 1) = n + 19. What is n?
  38. 38.Solve: 3(p − 1) = 2p + 6. What is p?
  39. 39.A father is 45 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  40. 40.A father is 33 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?

Answer key

  1. 2
  2. 2
  3. 7
  4. 30
  5. 49
  6. 9
  7. 2
  8. 24
  9. 105
  10. 4
  11. 9
  12. 6
  13. 7
  14. 9
  15. 14
  16. 9
  17. 4
  18. 36
  19. 41
  20. 7
  21. 32
  22. 3
  23. 14
  24. 70
  25. 15
  26. 11
  27. 20
  28. 11
  29. 180
  30. 36
  31. 6
  32. 24
  33. 13
  34. 14
  35. 6
  36. 9
  37. 11
  38. 9
  39. 8
  40. 7

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