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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 131 · 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: y/6 + y/2 = 16. What is y?
  2. 2.Solve: 5(t − 4) = t + 4. What is t?
  3. 3.Solve: 7n + 18 = 5n + 40. What is n?
  4. 4.Solve: 4(y − 2) = 3y + 2. What is y?
  5. 5.The length of a rectangle is 13 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  6. 6.Solve: 7n + 2 = 2n + 77. What is n?
  7. 7.Solve: 4p + 14 = 2p + 40. What is p?
  8. 8.Solve: 5(p − 5) = 2p + 26. What is p?
  9. 9.Solve: n/2 + n/4 = 24. What is n?
  10. 10.The sum of three consecutive whole numbers is 48. What is the smallest of them?
  11. 11.Solve: 4(p − 1) = p + 17. What is p?
  12. 12.Solve: y/2 + y/4 = 6. What is y?
  13. 13.Solve: m/2 + m/4 = 12. What is m?
  14. 14.Solve: 6t + 1 = t + 11. What is t?
  15. 15.Solve: 3m + 17 = 2m + 30. What is m?
  16. 16.The sum of three consecutive whole numbers is 147. What is the smallest of them?
  17. 17.Solve: m/5 + m/4 = 27. What is m?
  18. 18.Solve: y/4 + y/5 = 54. What is y?
  19. 19.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  20. 20.The length of a rectangle is 13 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  21. 21.Solve: 8x + 19 = 2x + 55. What is x?
  22. 22.Solve: 4(t − 1) = t + 38. What is t?
  23. 23.The sum of four consecutive whole numbers is 50. What is the smallest of them?
  24. 24.A father is 42 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?
  25. 25.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?
  26. 26.Solve: 6x + 17 = 4x + 45. What is x?
  27. 27.Solve: 7t + 14 = t + 80. What is t?
  28. 28.A father is 39 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?
  29. 29.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  30. 30.Solve: 6m + 8 = m + 33. What is m?
  31. 31.Solve: 6y + 6 = y + 21. What is y?
  32. 32.Solve: p/5 + p/3 = 32. What is p?
  33. 33.Solve: 7y + 7 = y + 55. What is y?
  34. 34.Solve: 7y + 11 = 5y + 31. What is y?
  35. 35.Solve: 6(y − 1) = 5y + 5. What is y?
  36. 36.The length of a rectangle is 6 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  37. 37.Solve: 3(p − 5) = 2p + 13. What is p?
  38. 38.Solve: 4(m − 4) = m + 23. What is m?
  39. 39.Solve: 4p + 4 = p + 40. What is p?
  40. 40.Solve: 8t + 4 = 7t + 13. What is t?

Answer key

  1. 24
  2. 6
  3. 11
  4. 10
  5. 15
  6. 15
  7. 13
  8. 17
  9. 32
  10. 15
  11. 7
  12. 8
  13. 16
  14. 2
  15. 13
  16. 48
  17. 60
  18. 120
  19. 3
  20. 5
  21. 6
  22. 14
  23. 11
  24. 11
  25. 3
  26. 14
  27. 11
  28. 10
  29. 12
  30. 5
  31. 3
  32. 60
  33. 8
  34. 10
  35. 11
  36. 15
  37. 28
  38. 13
  39. 12
  40. 9

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