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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 242 · 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: 4t + 15 = t + 42. What is t?
  2. 2.A father is 30 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?
  3. 3.Solve: 3t + 19 = 2t + 26. What is t?
  4. 4.Solve: 6(t − 3) = 4t + 18. What is t?
  5. 5.Solve: 6(m − 1) = 3m + 18. What is m?
  6. 6.A father is 34 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?
  7. 7.Solve: 6t + 6 = 3t + 15. What is t?
  8. 8.Solve: 6(n − 1) = n + 34. What is n?
  9. 9.The sum of four consecutive whole numbers is 246. What is the largest of them?
  10. 10.Solve: 3n + 5 = n + 19. What is n?
  11. 11.Solve: 3m + 9 = 2m + 12. What is m?
  12. 12.The length of a rectangle is 13 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  13. 13.Solve: 8m + 13 = 2m + 73. What is m?
  14. 14.The sum of two consecutive whole numbers is 17. What is the largest of them?
  15. 15.The sum of three consecutive whole numbers is 63. What is the smallest of them?
  16. 16.The sum of two consecutive whole numbers is 15. What is the smallest of them?
  17. 17.The sum of three consecutive whole numbers is 135. What is the smallest of them?
  18. 18.Solve: 6(x − 1) = 4x + 16. What is x?
  19. 19.The sum of three consecutive whole numbers is 63. What is the largest of them?
  20. 20.Solve: y/4 + y/6 = 25. What is y?
  21. 21.Solve: 3(n − 3) = n + 5. What is n?
  22. 22.A father is 10 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?
  23. 23.Solve: 6y + 17 = y + 22. What is y?
  24. 24.The sum of three consecutive whole numbers is 123. What is the largest of them?
  25. 25.The sum of three consecutive whole numbers is 168. What is the smallest of them?
  26. 26.The sum of two consecutive whole numbers is 55. What is the smallest of them?
  27. 27.Solve: 4(m − 3) = 2m + 12. What is m?
  28. 28.The sum of two consecutive whole numbers is 119. What is the smallest of them?
  29. 29.The length of a rectangle is 5 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  30. 30.A father is 36 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  31. 31.Solve: 5p + 9 = p + 61. What is p?
  32. 32.Solve: 5t + 19 = t + 31. What is t?
  33. 33.Solve: m/3 + m/2 = 15. What is m?
  34. 34.Solve: 6(y − 2) = 5y + 7. What is y?
  35. 35.The length of a rectangle is 15 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  36. 36.The sum of three consecutive whole numbers is 18. What is the largest of them?
  37. 37.Solve: 9p + 6 = 8p + 10. What is p?
  38. 38.The sum of two consecutive whole numbers is 59. What is the smallest of them?
  39. 39.Solve: 3(m − 5) = 2m + 10. What is m?
  40. 40.The length of a rectangle is 10 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?

Answer key

  1. 9
  2. 9
  3. 7
  4. 18
  5. 8
  6. 9
  7. 3
  8. 8
  9. 63
  10. 7
  11. 3
  12. 25
  13. 10
  14. 9
  15. 20
  16. 7
  17. 44
  18. 11
  19. 22
  20. 60
  21. 7
  22. 3
  23. 1
  24. 42
  25. 55
  26. 27
  27. 12
  28. 59
  29. 9
  30. 4
  31. 13
  32. 3
  33. 18
  34. 19
  35. 15
  36. 7
  37. 4
  38. 29
  39. 25
  40. 11

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