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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 564 · 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: 3y + 17 = y + 43. What is y?
  2. 2.Solve: 4x + 18 = 2x + 38. What is x?
  3. 3.Solve: 5(p − 5) = 4p + 6. What is p?
  4. 4.Solve: 4(n − 5) = 2n + 4. What is n?
  5. 5.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?
  6. 6.The sum of four consecutive whole numbers is 186. What is the largest of them?
  7. 7.The sum of four consecutive whole numbers is 218. What is the largest of them?
  8. 8.The sum of two consecutive whole numbers is 77. What is the largest of them?
  9. 9.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  10. 10.A father is 11 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  11. 11.The sum of three consecutive whole numbers is 120. What is the smallest of them?
  12. 12.Solve: 6(x − 5) = 3x + 24. What is x?
  13. 13.Solve: 6y + 3 = 3y + 33. What is y?
  14. 14.The length of a rectangle is 9 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  15. 15.The length of a rectangle is 1 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  16. 16.Solve: 6x + 13 = x + 53. What is x?
  17. 17.Solve: 6(x − 3) = 5x + 2. What is x?
  18. 18.Solve: 7n + 1 = 2n + 56. What is n?
  19. 19.A father is 27 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?
  20. 20.Solve: x/2 + x/4 = 6. What is x?
  21. 21.The length of a rectangle is 4 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  22. 22.Solve: 5(t − 2) = t + 38. What is t?
  23. 23.The sum of three consecutive whole numbers is 150. What is the largest of them?
  24. 24.The length of a rectangle is 13 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  25. 25.Solve: 7y + 17 = 4y + 56. What is y?
  26. 26.Solve: 9x + 20 = 7x + 24. What is x?
  27. 27.The length of a rectangle is 15 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  28. 28.Solve: t/2 + t/4 = 9. What is t?
  29. 29.Solve: 5(t − 5) = t + 31. What is t?
  30. 30.Solve: 4p + 6 = 3p + 12. What is p?
  31. 31.Solve: 6(t − 2) = 2t + 20. What is t?
  32. 32.Solve: 5(y − 1) = 4y + 9. What is y?
  33. 33.The length of a rectangle is 11 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  34. 34.Solve: 4n + 5 = 3n + 19. What is n?
  35. 35.A father is 15 years older than his son. In 6 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 15 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  37. 37.The sum of three consecutive whole numbers is 87. What is the largest of them?
  38. 38.Solve: 5n + 19 = 3n + 43. What is n?
  39. 39.Solve: y/3 + y/2 = 25. What is y?
  40. 40.Solve: 5(n − 3) = n + 29. What is n?

Answer key

  1. 13
  2. 10
  3. 31
  4. 12
  5. 9
  6. 48
  7. 56
  8. 39
  9. 8
  10. 7
  11. 39
  12. 18
  13. 10
  14. 5
  15. 25
  16. 8
  17. 20
  18. 11
  19. 8
  20. 8
  21. 8
  22. 12
  23. 51
  24. 9
  25. 13
  26. 2
  27. 8
  28. 12
  29. 14
  30. 6
  31. 8
  32. 14
  33. 16
  34. 14
  35. 9
  36. 10
  37. 30
  38. 12
  39. 30
  40. 11

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