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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 556 · 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: 5m + 8 = 3m + 10. What is m?
  2. 2.The sum of four consecutive whole numbers is 78. What is the largest of them?
  3. 3.Solve: y/6 + y/5 = 11. What is y?
  4. 4.Solve: 6(x − 5) = 5x + 13. What is x?
  5. 5.Solve: n/3 + n/2 = 10. What is n?
  6. 6.Solve: y/2 + y/5 = 56. What is y?
  7. 7.A father is 51 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?
  8. 8.The length of a rectangle is 4 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  9. 9.The length of a rectangle is 14 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  10. 10.Solve: 3m + 20 = 2m + 28. What is m?
  11. 11.Solve: n/5 + n/2 = 42. What is n?
  12. 12.Solve: 7m + 16 = 2m + 26. What is m?
  13. 13.A father is 42 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?
  14. 14.Solve: y/4 + y/2 = 24. What is y?
  15. 15.Solve: 3n + 13 = n + 31. What is n?
  16. 16.Solve: 6m + 18 = 4m + 28. What is m?
  17. 17.Solve: t/6 + t/4 = 25. What is t?
  18. 18.Solve: 3x + 6 = 2x + 12. What is x?
  19. 19.The length of a rectangle is 1 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  20. 20.Solve: 4m + 17 = 3m + 19. What is m?
  21. 21.Solve: 3(y − 3) = y + 25. What is y?
  22. 22.Solve: 5(m − 1) = 4m + 5. What is m?
  23. 23.Solve: 5(x − 2) = 3x + 18. What is x?
  24. 24.A father is 14 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?
  25. 25.The sum of two consecutive whole numbers is 87. What is the largest of them?
  26. 26.Solve: 6(y − 1) = y + 39. What is y?
  27. 27.Solve: 3p + 13 = p + 19. What is p?
  28. 28.The length of a rectangle is 15 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  29. 29.The sum of two consecutive whole numbers is 117. What is the largest of them?
  30. 30.Solve: 4y + 16 = 2y + 26. What is y?
  31. 31.Solve: 6(t − 3) = 2t + 30. What is t?
  32. 32.The sum of three consecutive whole numbers is 108. What is the largest of them?
  33. 33.The sum of two consecutive whole numbers is 119. What is the largest of them?
  34. 34.Solve: p/3 + p/4 = 49. What is p?
  35. 35.The sum of three consecutive whole numbers is 36. What is the smallest of them?
  36. 36.The sum of two consecutive whole numbers is 107. What is the smallest of them?
  37. 37.The sum of four consecutive whole numbers is 58. What is the largest of them?
  38. 38.Solve: 5(m − 2) = m + 42. What is m?
  39. 39.The sum of two consecutive whole numbers is 97. What is the smallest of them?
  40. 40.Solve: 6(n − 3) = n + 27. What is n?

Answer key

  1. 1
  2. 21
  3. 30
  4. 43
  5. 12
  6. 80
  7. 11
  8. 17
  9. 4
  10. 8
  11. 60
  12. 2
  13. 7
  14. 32
  15. 9
  16. 5
  17. 60
  18. 6
  19. 8
  20. 2
  21. 17
  22. 10
  23. 14
  24. 4
  25. 44
  26. 9
  27. 3
  28. 24
  29. 59
  30. 5
  31. 12
  32. 37
  33. 60
  34. 84
  35. 11
  36. 53
  37. 16
  38. 13
  39. 48
  40. 9

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