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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 567 · 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: 3t + 18 = t + 44. What is t?
  2. 2.Solve: 8p + 8 = 4p + 60. What is p?
  3. 3.The sum of three consecutive whole numbers is 126. What is the smallest of them?
  4. 4.Solve: m/3 + m/5 = 48. What is m?
  5. 5.A father is 9 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  6. 6.A father is 22 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.Solve: n/4 + n/2 = 18. What is n?
  8. 8.Solve: 6(p − 2) = 2p + 20. What is p?
  9. 9.The sum of two consecutive whole numbers is 19. What is the largest of them?
  10. 10.Solve: 4y + 14 = y + 53. What is y?
  11. 11.Solve: 6(y − 2) = 2y + 40. What is y?
  12. 12.Solve: m/2 + m/5 = 56. What is m?
  13. 13.The length of a rectangle is 4 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  14. 14.A father is 9 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?
  15. 15.Solve: y/6 + y/3 = 6. What is y?
  16. 16.The length of a rectangle is 6 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  17. 17.Solve: t/5 + t/3 = 24. What is t?
  18. 18.Solve: n/4 + n/2 = 21. What is n?
  19. 19.Solve: n/4 + n/6 = 15. What is n?
  20. 20.Solve: 9n + 5 = 3n + 23. What is n?
  21. 21.Solve: m/2 + m/4 = 3. What is m?
  22. 22.Solve: 6t + 1 = t + 76. What is t?
  23. 23.Solve: 5x + 8 = 3x + 26. What is x?
  24. 24.A father is 18 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?
  25. 25.The sum of four consecutive whole numbers is 146. What is the largest of them?
  26. 26.Solve: y/6 + y/4 = 10. What is y?
  27. 27.The sum of three consecutive whole numbers is 117. What is the largest of them?
  28. 28.A father is 51 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?
  29. 29.Solve: n/4 + n/5 = 63. What is n?
  30. 30.Solve: x/2 + x/3 = 15. What is x?
  31. 31.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  32. 32.Solve: x/2 + x/3 = 5. What is x?
  33. 33.The sum of four consecutive whole numbers is 126. What is the smallest of them?
  34. 34.The sum of four consecutive whole numbers is 30. What is the smallest of them?
  35. 35.A father is 40 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  36. 36.The sum of two consecutive whole numbers is 65. What is the smallest of them?
  37. 37.Solve: 6(n − 5) = 4n + 14. What is n?
  38. 38.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?
  39. 39.Solve: p/6 + p/3 = 18. What is p?
  40. 40.Solve: 3p + 8 = p + 38. What is p?

Answer key

  1. 13
  2. 13
  3. 41
  4. 90
  5. 8
  6. 9
  7. 24
  8. 8
  9. 10
  10. 13
  11. 13
  12. 80
  13. 7
  14. 2
  15. 12
  16. 28
  17. 45
  18. 28
  19. 36
  20. 3
  21. 4
  22. 15
  23. 9
  24. 5
  25. 38
  26. 24
  27. 40
  28. 10
  29. 140
  30. 18
  31. 20
  32. 6
  33. 30
  34. 6
  35. 12
  36. 32
  37. 22
  38. 12
  39. 36
  40. 15

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