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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 761 · 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: 4(y − 1) = 2y + 2. What is y?
  2. 2.Solve: p/2 + p/6 = 8. What is p?
  3. 3.Solve: t/2 + t/3 = 15. What is t?
  4. 4.Solve: 5m + 20 = m + 64. What is m?
  5. 5.Solve: x/3 + x/6 = 3. What is x?
  6. 6.The sum of two consecutive whole numbers is 59. What is the largest of them?
  7. 7.A father is 28 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?
  8. 8.Solve: y/5 + y/2 = 42. What is y?
  9. 9.Solve: 3(m − 1) = 2m + 13. What is m?
  10. 10.The sum of three consecutive whole numbers is 159. What is the largest of them?
  11. 11.A father is 9 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?
  12. 12.Solve: 3(y − 4) = y + 6. What is y?
  13. 13.The length of a rectangle is 2 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  14. 14.Solve: 6p + 3 = 2p + 27. What is p?
  15. 15.Solve: 4y + 7 = y + 37. What is y?
  16. 16.Solve: 4(y − 3) = y + 12. What is y?
  17. 17.The sum of three consecutive whole numbers is 168. What is the largest of them?
  18. 18.Solve: 3(p − 4) = p + 22. What is p?
  19. 19.Solve: 9y + 20 = 6y + 62. What is y?
  20. 20.Solve: 9m + 7 = 4m + 72. What is m?
  21. 21.Solve: 3n + 11 = 2n + 16. What is n?
  22. 22.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  23. 23.Solve: 3x + 7 = x + 23. What is x?
  24. 24.The sum of three consecutive whole numbers is 57. What is the largest of them?
  25. 25.Solve: n/6 + n/3 = 15. What is n?
  26. 26.Solve: y/3 + y/2 = 25. What is y?
  27. 27.The length of a rectangle is 11 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  28. 28.Solve: 4x + 20 = 2x + 34. What is x?
  29. 29.Solve: 5x + 2 = x + 10. What is x?
  30. 30.Solve: 6y + 17 = 4y + 39. What is y?
  31. 31.Solve: 4x + 3 = 3x + 8. What is x?
  32. 32.The sum of four consecutive whole numbers is 102. What is the largest of them?
  33. 33.A father is 18 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  34. 34.A father is 9 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  35. 35.Solve: 5n + 18 = n + 22. What is n?
  36. 36.A father is 15 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  37. 37.A father is 42 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  38. 38.A father is 15 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?
  39. 39.Solve: 6(y − 1) = 4y + 4. What is y?
  40. 40.The sum of four consecutive whole numbers is 90. What is the smallest of them?

Answer key

  1. 3
  2. 12
  3. 18
  4. 11
  5. 6
  6. 30
  7. 10
  8. 60
  9. 16
  10. 54
  11. 2
  12. 9
  13. 6
  14. 6
  15. 10
  16. 8
  17. 57
  18. 17
  19. 14
  20. 13
  21. 5
  22. 10
  23. 8
  24. 20
  25. 30
  26. 30
  27. 24
  28. 7
  29. 2
  30. 11
  31. 5
  32. 27
  33. 10
  34. 5
  35. 1
  36. 11
  37. 12
  38. 4
  39. 5
  40. 21

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