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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 808 · 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/3 + y/2 = 30. What is y?
  2. 2.Solve: 9m + 14 = 8m + 15. What is m?
  3. 3.Solve: 3(y − 5) = 2y + 2. What is y?
  4. 4.Solve: 3(n − 2) = n + 24. What is n?
  5. 5.Solve: 3p + 13 = 2p + 27. What is p?
  6. 6.The sum of four consecutive whole numbers is 62. What is the smallest of them?
  7. 7.Solve: 5(n − 5) = n + 23. What is n?
  8. 8.The length of a rectangle is 9 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  9. 9.Solve: y/3 + y/5 = 24. What is y?
  10. 10.Solve: y/4 + y/6 = 10. What is y?
  11. 11.A father is 14 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  12. 12.Solve: 4n + 20 = n + 29. What is n?
  13. 13.The length of a rectangle is 14 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  14. 14.The length of a rectangle is 15 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  15. 15.The sum of three consecutive whole numbers is 111. What is the largest of them?
  16. 16.A father is 18 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?
  17. 17.Solve: 4n + 9 = 3n + 19. What is n?
  18. 18.Solve: n/4 + n/3 = 49. What is n?
  19. 19.Solve: m/2 + m/4 = 9. What is m?
  20. 20.The length of a rectangle is 11 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  21. 21.Solve: 3m + 10 = m + 20. What is m?
  22. 22.Solve: 3(x − 3) = x + 3. What is x?
  23. 23.Solve: 8y + 11 = y + 25. What is y?
  24. 24.Solve: 4(x − 4) = 3x + 3. What is x?
  25. 25.The length of a rectangle is 14 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  26. 26.Solve: 8y + 20 = 4y + 64. What is y?
  27. 27.Solve: 6p + 8 = 2p + 52. What is p?
  28. 28.The sum of two consecutive whole numbers is 45. What is the smallest of them?
  29. 29.The sum of two consecutive whole numbers is 99. What is the largest of them?
  30. 30.A father is 14 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  31. 31.Solve: 7n + 5 = 4n + 44. What is n?
  32. 32.Solve: 3p + 18 = p + 48. What is p?
  33. 33.Solve: 4t + 8 = 3t + 9. What is t?
  34. 34.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  35. 35.A father is 12 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  36. 36.Solve: 4(y − 3) = y + 15. What is y?
  37. 37.Solve: 4(t − 3) = 3t + 11. What is t?
  38. 38.The length of a rectangle is 14 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  39. 39.A father is 12 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  40. 40.The sum of two consecutive whole numbers is 19. What is the smallest of them?

Answer key

  1. 36
  2. 1
  3. 17
  4. 15
  5. 14
  6. 14
  7. 12
  8. 17
  9. 45
  10. 24
  11. 11
  12. 3
  13. 5
  14. 12
  15. 38
  16. 6
  17. 10
  18. 84
  19. 12
  20. 3
  21. 5
  22. 6
  23. 2
  24. 19
  25. 22
  26. 11
  27. 11
  28. 22
  29. 50
  30. 7
  31. 13
  32. 15
  33. 1
  34. 8
  35. 4
  36. 9
  37. 23
  38. 6
  39. 2
  40. 9

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