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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 810 · 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: y/5 + y/6 = 11. What is y?
  2. 2.Solve: 3(y − 1) = 2y + 8. What is y?
  3. 3.Solve: 6x + 4 = 3x + 7. What is x?
  4. 4.Solve: 3(t − 3) = 2t + 3. What is t?
  5. 5.A father is 38 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?
  6. 6.The length of a rectangle is 8 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  7. 7.The length of a rectangle is 15 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  8. 8.Solve: n/4 + n/5 = 18. What is n?
  9. 9.Solve: 4p + 7 = 2p + 31. What is p?
  10. 10.Solve: y/5 + y/2 = 7. What is y?
  11. 11.Solve: 9p + 7 = 6p + 13. What is p?
  12. 12.Solve: 5m + 12 = 3m + 18. What is m?
  13. 13.The sum of four consecutive whole numbers is 130. What is the smallest of them?
  14. 14.The sum of two consecutive whole numbers is 19. What is the smallest of them?
  15. 15.Solve: 6(t − 2) = t + 43. What is t?
  16. 16.A father is 32 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?
  17. 17.Solve: 3(x − 5) = x + 3. What is x?
  18. 18.Solve: 8x + 4 = 6x + 18. What is x?
  19. 19.The sum of three consecutive whole numbers is 66. What is the smallest of them?
  20. 20.The length of a rectangle is 11 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  21. 21.Solve: 9n + 6 = 3n + 42. What is n?
  22. 22.Solve: 8x + 11 = 7x + 21. What is x?
  23. 23.Solve: 3(y − 4) = 2y + 1. What is y?
  24. 24.The length of a rectangle is 5 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  25. 25.A father is 22 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  26. 26.Solve: p/4 + p/2 = 6. What is p?
  27. 27.Solve: 4x + 7 = x + 52. What is x?
  28. 28.The sum of four consecutive whole numbers is 130. What is the largest of them?
  29. 29.The length of a rectangle is 13 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  30. 30.The sum of four consecutive whole numbers is 158. What is the largest of them?
  31. 31.Solve: 3y + 1 = 2y + 12. What is y?
  32. 32.The sum of four consecutive whole numbers is 150. What is the largest of them?
  33. 33.Solve: 5(y − 2) = 4y + 12. What is y?
  34. 34.A father is 17 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  35. 35.The sum of three consecutive whole numbers is 147. What is the smallest of them?
  36. 36.A father is 24 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?
  37. 37.Solve: 5n + 14 = n + 26. What is n?
  38. 38.A father is 48 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  39. 39.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  40. 40.Solve: n/5 + n/4 = 27. What is n?

Answer key

  1. 30
  2. 11
  3. 1
  4. 12
  5. 12
  6. 19
  7. 21
  8. 40
  9. 12
  10. 10
  11. 2
  12. 3
  13. 31
  14. 9
  15. 11
  16. 12
  17. 9
  18. 7
  19. 21
  20. 28
  21. 6
  22. 10
  23. 13
  24. 8
  25. 3
  26. 8
  27. 15
  28. 34
  29. 21
  30. 41
  31. 11
  32. 39
  33. 22
  34. 10
  35. 48
  36. 3
  37. 3
  38. 12
  39. 9
  40. 60

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