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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 864 · 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: t/6 + t/4 = 30. What is t?
  2. 2.Solve: 8x + 4 = 4x + 64. What is x?
  3. 3.Solve: 4p + 10 = p + 31. What is p?
  4. 4.The sum of three consecutive whole numbers is 24. What is the smallest of them?
  5. 5.The length of a rectangle is 4 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  6. 6.Solve: 4(m − 1) = m + 17. What is m?
  7. 7.Solve: 4t + 3 = t + 6. What is t?
  8. 8.Solve: 7y + 5 = 4y + 47. What is y?
  9. 9.Solve: 7x + 14 = x + 50. What is x?
  10. 10.Solve: 5x + 13 = x + 21. What is x?
  11. 11.A father is 16 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  12. 12.A father is 16 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.Solve: x/4 + x/5 = 9. What is x?
  14. 14.Solve: y/4 + y/3 = 35. What is y?
  15. 15.Solve: 5y + 12 = y + 72. What is y?
  16. 16.Solve: 5(y − 1) = 3y + 25. What is y?
  17. 17.The length of a rectangle is 14 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  18. 18.Solve: 4(t − 1) = t + 32. What is t?
  19. 19.The length of a rectangle is 3 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  20. 20.Solve: p/5 + p/4 = 9. What is p?
  21. 21.Solve: 6m + 15 = 2m + 27. What is m?
  22. 22.The length of a rectangle is 11 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  23. 23.Solve: 4(x − 5) = 3x + 11. What is x?
  24. 24.Solve: 8n + 4 = n + 18. What is n?
  25. 25.Solve: 3(x − 1) = x + 17. What is x?
  26. 26.Solve: 3(m − 2) = 2m + 3. What is m?
  27. 27.A father is 13 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  28. 28.Solve: 6(t − 4) = 2t + 36. What is t?
  29. 29.Solve: 8p + 8 = 3p + 83. What is p?
  30. 30.Solve: n/5 + n/6 = 77. What is n?
  31. 31.The sum of three consecutive whole numbers is 48. What is the smallest of them?
  32. 32.Solve: p/5 + p/4 = 45. What is p?
  33. 33.Solve: 3m + 8 = m + 36. What is m?
  34. 34.Solve: 7x + 4 = x + 70. What is x?
  35. 35.Solve: 4(m − 3) = m + 24. What is m?
  36. 36.The sum of four consecutive whole numbers is 178. What is the largest of them?
  37. 37.Solve: n/4 + n/6 = 35. What is n?
  38. 38.Solve: y/3 + y/5 = 16. What is y?
  39. 39.Solve: 5x + 14 = 2x + 23. What is x?
  40. 40.The length of a rectangle is 8 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?

Answer key

  1. 72
  2. 15
  3. 7
  4. 7
  5. 14
  6. 7
  7. 1
  8. 14
  9. 6
  10. 2
  11. 12
  12. 2
  13. 20
  14. 60
  15. 15
  16. 15
  17. 12
  18. 12
  19. 7
  20. 20
  21. 3
  22. 20
  23. 31
  24. 2
  25. 10
  26. 9
  27. 11
  28. 15
  29. 15
  30. 210
  31. 15
  32. 100
  33. 14
  34. 11
  35. 12
  36. 46
  37. 84
  38. 30
  39. 3
  40. 24

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