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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 483 · 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.The sum of four consecutive whole numbers is 62. What is the largest of them?
  2. 2.Solve: 3(y − 4) = y + 6. What is y?
  3. 3.Solve: 4(p − 4) = 2p + 8. What is p?
  4. 4.Solve: x/2 + x/3 = 25. What is x?
  5. 5.The sum of three consecutive whole numbers is 30. What is the smallest of them?
  6. 6.Solve: 3n + 4 = n + 6. What is n?
  7. 7.Solve: 6y + 3 = 2y + 51. What is y?
  8. 8.The sum of four consecutive whole numbers is 54. What is the largest of them?
  9. 9.Solve: 6(t − 4) = 3t + 27. What is t?
  10. 10.Solve: 9n + 15 = 5n + 47. What is n?
  11. 11.Solve: 7x + 12 = x + 84. What is x?
  12. 12.Solve: 4(n − 3) = 2n + 4. What is n?
  13. 13.Solve: 5y + 5 = 3y + 33. What is y?
  14. 14.The sum of two consecutive whole numbers is 11. What is the smallest of them?
  15. 15.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?
  16. 16.Solve: m/3 + m/2 = 25. What is m?
  17. 17.The sum of four consecutive whole numbers is 126. What is the largest of them?
  18. 18.Solve: t/5 + t/2 = 7. What is t?
  19. 19.Solve: 4(m − 3) = m + 3. What is m?
  20. 20.A father is 33 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?
  21. 21.The sum of four consecutive whole numbers is 190. What is the smallest of them?
  22. 22.Solve: 4(t − 5) = 3t + 4. What is t?
  23. 23.Solve: 5t + 17 = 3t + 47. What is t?
  24. 24.Solve: 3t + 12 = 2t + 13. What is t?
  25. 25.A father is 15 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  26. 26.Solve: m/4 + m/3 = 56. What is m?
  27. 27.The sum of two consecutive whole numbers is 61. What is the largest of them?
  28. 28.Solve: 4(y − 3) = y + 33. What is y?
  29. 29.The length of a rectangle is 10 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  30. 30.The sum of two consecutive whole numbers is 65. What is the largest of them?
  31. 31.A father is 42 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  32. 32.The sum of four consecutive whole numbers is 70. What is the smallest of them?
  33. 33.Solve: 5t + 8 = t + 20. What is t?
  34. 34.A father is 22 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?
  35. 35.The sum of three consecutive whole numbers is 24. What is the largest of them?
  36. 36.The sum of four consecutive whole numbers is 122. What is the smallest of them?
  37. 37.Solve: m/5 + m/4 = 54. What is m?
  38. 38.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  39. 39.A father is 14 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  40. 40.Solve: 6n + 16 = 5n + 30. What is n?

Answer key

  1. 17
  2. 9
  3. 12
  4. 30
  5. 9
  6. 1
  7. 12
  8. 15
  9. 17
  10. 8
  11. 12
  12. 8
  13. 14
  14. 5
  15. 8
  16. 30
  17. 33
  18. 10
  19. 5
  20. 10
  21. 46
  22. 24
  23. 15
  24. 1
  25. 2
  26. 96
  27. 31
  28. 15
  29. 24
  30. 33
  31. 6
  32. 16
  33. 3
  34. 7
  35. 9
  36. 29
  37. 120
  38. 7
  39. 2
  40. 14

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