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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 886 · 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: 8y + 20 = 6y + 36. What is y?
  2. 2.A father is 28 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  3. 3.The length of a rectangle is 11 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  4. 4.Solve: x/2 + x/3 = 10. What is x?
  5. 5.Solve: t/2 + t/3 = 15. What is t?
  6. 6.Solve: 3(y − 1) = 2y + 9. What is y?
  7. 7.Solve: n/2 + n/6 = 16. What is n?
  8. 8.The sum of four consecutive whole numbers is 58. What is the largest of them?
  9. 9.The sum of three consecutive whole numbers is 153. What is the smallest of them?
  10. 10.Solve: 3(m − 2) = 2m + 13. What is m?
  11. 11.The length of a rectangle is 6 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  12. 12.The sum of four consecutive whole numbers is 30. What is the largest of them?
  13. 13.Solve: 5m + 1 = 4m + 4. What is m?
  14. 14.The sum of three consecutive whole numbers is 42. What is the largest of them?
  15. 15.Solve: 6x + 3 = 2x + 35. What is x?
  16. 16.Solve: 7n + 10 = 4n + 55. What is n?
  17. 17.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  18. 18.A father is 36 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  19. 19.Solve: m/5 + m/6 = 66. What is m?
  20. 20.Solve: 6(p − 5) = p + 15. What is p?
  21. 21.Solve: 5y + 19 = 3y + 31. What is y?
  22. 22.A father is 32 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?
  23. 23.The length of a rectangle is 2 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  24. 24.Solve: t/5 + t/2 = 28. What is t?
  25. 25.Solve: t/3 + t/4 = 28. What is t?
  26. 26.Solve: 7m + 4 = 3m + 48. What is m?
  27. 27.Solve: 9y + 10 = 8y + 22. What is y?
  28. 28.A father is 10 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  29. 29.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  30. 30.A father is 18 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  31. 31.The sum of two consecutive whole numbers is 97. What is the largest of them?
  32. 32.Solve: y/6 + y/3 = 12. What is y?
  33. 33.The sum of four consecutive whole numbers is 74. What is the smallest of them?
  34. 34.Solve: t/6 + t/5 = 11. What is t?
  35. 35.The sum of two consecutive whole numbers is 13. What is the smallest of them?
  36. 36.Solve: 4(m − 4) = 3m + 3. What is m?
  37. 37.Solve: 3m + 19 = m + 29. What is m?
  38. 38.Solve: 5(t − 1) = 4t + 6. What is t?
  39. 39.Solve: 4(y − 1) = y + 26. What is y?
  40. 40.Solve: 5(p − 4) = p + 28. What is p?

Answer key

  1. 8
  2. 8
  3. 5
  4. 12
  5. 18
  6. 12
  7. 24
  8. 16
  9. 50
  10. 19
  11. 17
  12. 9
  13. 3
  14. 15
  15. 8
  16. 15
  17. 2
  18. 12
  19. 180
  20. 9
  21. 6
  22. 9
  23. 6
  24. 40
  25. 48
  26. 11
  27. 12
  28. 8
  29. 9
  30. 7
  31. 49
  32. 24
  33. 17
  34. 30
  35. 6
  36. 19
  37. 5
  38. 11
  39. 10
  40. 12

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