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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 817 · 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: 6(t − 5) = t + 65. What is t?
  2. 2.The sum of two consecutive whole numbers is 53. What is the smallest of them?
  3. 3.Solve: 7m + 4 = 2m + 29. What is m?
  4. 4.The sum of four consecutive whole numbers is 110. What is the largest of them?
  5. 5.Solve: p/3 + p/4 = 56. What is p?
  6. 6.A father is 17 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  7. 7.Solve: 4(y − 1) = 3y + 10. What is y?
  8. 8.The sum of three consecutive whole numbers is 117. What is the largest of them?
  9. 9.Solve: n/5 + n/3 = 32. What is n?
  10. 10.Solve: 6t + 10 = t + 65. What is t?
  11. 11.Solve: 5(y − 2) = 4y + 10. What is y?
  12. 12.A father is 13 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  13. 13.Solve: n/3 + n/6 = 6. What is n?
  14. 14.Solve: 8y + 19 = 3y + 44. What is y?
  15. 15.Solve: x/2 + x/3 = 35. What is x?
  16. 16.Solve: 5(m − 3) = 4m + 7. What is m?
  17. 17.Solve: 3m + 4 = 2m + 17. What is m?
  18. 18.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  19. 19.The sum of three consecutive whole numbers is 114. What is the largest of them?
  20. 20.The sum of four consecutive whole numbers is 158. What is the largest of them?
  21. 21.Solve: 5x + 17 = 4x + 25. What is x?
  22. 22.The length of a rectangle is 3 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  23. 23.Solve: 5(y − 1) = 2y + 10. What is y?
  24. 24.The sum of three consecutive whole numbers is 84. What is the smallest of them?
  25. 25.The sum of two consecutive whole numbers is 117. What is the smallest of them?
  26. 26.The length of a rectangle is 2 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  27. 27.A father is 14 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  28. 28.Solve: 8t + 18 = 4t + 70. What is t?
  29. 29.Solve: 5(y − 4) = 3y + 26. What is y?
  30. 30.The sum of three consecutive whole numbers is 126. What is the largest of them?
  31. 31.The sum of two consecutive whole numbers is 81. What is the largest of them?
  32. 32.Solve: 6x + 10 = x + 85. What is x?
  33. 33.Solve: 5(t − 4) = 2t + 31. What is t?
  34. 34.Solve: 5(y − 2) = 3y + 2. What is y?
  35. 35.Solve: 5(x − 3) = x + 21. What is x?
  36. 36.Solve: 5(t − 4) = 2t + 34. What is t?
  37. 37.Solve: 4(p − 4) = p + 2. What is p?
  38. 38.The length of a rectangle is 2 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  39. 39.The sum of two consecutive whole numbers is 29. What is the largest of them?
  40. 40.The sum of three consecutive whole numbers is 33. What is the smallest of them?

Answer key

  1. 19
  2. 26
  3. 5
  4. 29
  5. 96
  6. 11
  7. 14
  8. 40
  9. 60
  10. 11
  11. 20
  12. 5
  13. 12
  14. 5
  15. 42
  16. 22
  17. 13
  18. 2
  19. 39
  20. 41
  21. 8
  22. 22
  23. 5
  24. 27
  25. 58
  26. 26
  27. 6
  28. 13
  29. 23
  30. 43
  31. 41
  32. 15
  33. 17
  34. 6
  35. 9
  36. 18
  37. 6
  38. 5
  39. 15
  40. 10

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