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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 389 · 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 − 2) = 3t + 27. What is t?
  2. 2.Solve: 4y + 15 = 2y + 17. What is y?
  3. 3.Solve: 4(t − 1) = 2t + 2. What is t?
  4. 4.The length of a rectangle is 7 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  5. 5.The length of a rectangle is 4 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  6. 6.Solve: 5(y − 5) = 3y + 9. What is y?
  7. 7.A father is 21 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  8. 8.The sum of four consecutive whole numbers is 198. What is the largest of them?
  9. 9.Solve: 4x + 3 = 2x + 15. What is x?
  10. 10.Solve: 6(n − 4) = 5n + 10. What is n?
  11. 11.The length of a rectangle is 15 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  12. 12.The sum of two consecutive whole numbers is 89. What is the largest of them?
  13. 13.Solve: 8m + 7 = 7m + 19. What is m?
  14. 14.The length of a rectangle is 14 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  15. 15.Solve: 7y + 2 = 3y + 62. What is y?
  16. 16.The sum of two consecutive whole numbers is 67. What is the largest of them?
  17. 17.Solve: 7x + 4 = 6x + 19. What is x?
  18. 18.Solve: 4t + 12 = 3t + 17. What is t?
  19. 19.The length of a rectangle is 5 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  20. 20.The sum of three consecutive whole numbers is 108. What is the largest of them?
  21. 21.A father is 57 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?
  22. 22.Solve: 5(y − 1) = 3y + 25. What is y?
  23. 23.Solve: x/6 + x/4 = 30. What is x?
  24. 24.The sum of two consecutive whole numbers is 55. What is the smallest of them?
  25. 25.Solve: t/5 + t/3 = 16. What is t?
  26. 26.The sum of two consecutive whole numbers is 31. What is the smallest of them?
  27. 27.Solve: 3(t − 4) = t + 22. What is t?
  28. 28.The length of a rectangle is 6 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  29. 29.A father is 30 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?
  30. 30.Solve: 5n + 1 = 3n + 15. What is n?
  31. 31.Solve: p/3 + p/6 = 24. What is p?
  32. 32.Solve: 4t + 4 = 2t + 32. What is t?
  33. 33.Solve: 7x + 15 = x + 57. What is x?
  34. 34.The length of a rectangle is 15 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  35. 35.The length of a rectangle is 15 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  36. 36.Solve: 7m + 14 = 3m + 54. What is m?
  37. 37.Solve: x/2 + x/3 = 10. What is x?
  38. 38.The length of a rectangle is 11 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  39. 39.Solve: 9t + 6 = 3t + 36. What is t?
  40. 40.A father is 12 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?

Answer key

  1. 13
  2. 1
  3. 3
  4. 28
  5. 6
  6. 17
  7. 2
  8. 51
  9. 6
  10. 34
  11. 27
  12. 45
  13. 12
  14. 19
  15. 15
  16. 34
  17. 15
  18. 5
  19. 8
  20. 37
  21. 12
  22. 15
  23. 72
  24. 27
  25. 30
  26. 15
  27. 17
  28. 2
  29. 12
  30. 7
  31. 48
  32. 14
  33. 7
  34. 11
  35. 3
  36. 10
  37. 12
  38. 20
  39. 5
  40. 2

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