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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 891 · 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: 3m + 11 = 2m + 15. What is m?
  2. 2.A father is 28 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  3. 3.Solve: 3(y − 1) = y + 3. What is y?
  4. 4.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  5. 5.The length of a rectangle is 14 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  6. 6.Solve: 9y + 13 = 2y + 104. What is y?
  7. 7.The sum of four consecutive whole numbers is 130. What is the smallest of them?
  8. 8.Solve: 3y + 15 = 2y + 21. What is y?
  9. 9.Solve: 3y + 15 = y + 35. What is y?
  10. 10.Solve: 5(x − 2) = 3x + 26. What is x?
  11. 11.The sum of four consecutive whole numbers is 158. What is the smallest of them?
  12. 12.The sum of four consecutive whole numbers is 66. What is the smallest of them?
  13. 13.The sum of four consecutive whole numbers is 186. What is the largest of them?
  14. 14.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  15. 15.The length of a rectangle is 10 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  16. 16.The sum of three consecutive whole numbers is 81. What is the largest of them?
  17. 17.Solve: 5(m − 5) = m + 27. What is m?
  18. 18.Solve: 4x + 10 = 3x + 12. What is x?
  19. 19.Solve: 4p + 5 = p + 44. What is p?
  20. 20.Solve: 9t + 6 = 5t + 14. What is t?
  21. 21.Solve: p/2 + p/4 = 18. What is p?
  22. 22.Solve: 9x + 4 = 2x + 102. What is x?
  23. 23.Solve: n/2 + n/5 = 56. What is n?
  24. 24.Solve: y/2 + y/3 = 25. What is y?
  25. 25.The sum of four consecutive whole numbers is 110. What is the largest of them?
  26. 26.Solve: 5n + 10 = n + 62. What is n?
  27. 27.Solve: x/4 + x/3 = 28. What is x?
  28. 28.The sum of three consecutive whole numbers is 51. What is the smallest of them?
  29. 29.Solve: 7y + 13 = 3y + 57. What is y?
  30. 30.The sum of three consecutive whole numbers is 117. What is the largest of them?
  31. 31.The length of a rectangle is 4 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  32. 32.Solve: 7n + 7 = 3n + 31. What is n?
  33. 33.Solve: 6p + 12 = 2p + 16. What is p?
  34. 34.Solve: 5(x − 4) = x + 48. What is x?
  35. 35.A father is 16 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.The length of a rectangle is 1 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  37. 37.Solve: 3m + 14 = 2m + 20. What is m?
  38. 38.The sum of two consecutive whole numbers is 67. What is the largest of them?
  39. 39.The length of a rectangle is 1 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  40. 40.Solve: 5t + 12 = 2t + 39. What is t?

Answer key

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

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