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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 305 · 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: 5x + 5 = 3x + 13. What is x?
  2. 2.Solve: 6p + 14 = 5p + 17. What is p?
  3. 3.Solve: 4(t − 5) = 2t + 12. What is t?
  4. 4.Solve: n/4 + n/2 = 24. What is n?
  5. 5.The sum of four consecutive whole numbers is 78. What is the largest of them?
  6. 6.Solve: 5(m − 2) = 2m + 23. What is m?
  7. 7.The sum of three consecutive whole numbers is 27. What is the smallest of them?
  8. 8.Solve: p/4 + p/2 = 9. What is p?
  9. 9.A father is 36 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?
  10. 10.Solve: 3(t − 2) = t + 20. What is t?
  11. 11.A father is 12 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  12. 12.Solve: 5y + 16 = 4y + 18. What is y?
  13. 13.The sum of two consecutive whole numbers is 107. What is the largest of them?
  14. 14.Solve: x/2 + x/5 = 14. What is x?
  15. 15.Solve: 5(n − 3) = n + 29. What is n?
  16. 16.The length of a rectangle is 6 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  17. 17.A father is 57 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  18. 18.Solve: 6n + 18 = n + 73. What is n?
  19. 19.The sum of three consecutive whole numbers is 45. What is the largest of them?
  20. 20.The sum of two consecutive whole numbers is 63. What is the largest of them?
  21. 21.Solve: 6y + 17 = 5y + 18. What is y?
  22. 22.Solve: 3x + 14 = 2x + 28. What is x?
  23. 23.Solve: m/3 + m/4 = 7. What is m?
  24. 24.Solve: 5p + 6 = 4p + 8. What is p?
  25. 25.Solve: 4m + 17 = 2m + 21. What is m?
  26. 26.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?
  27. 27.Solve: 6(p − 2) = p + 43. What is p?
  28. 28.Solve: 3(m − 4) = 2m + 12. What is m?
  29. 29.Solve: 4(t − 1) = 3t + 5. What is t?
  30. 30.The sum of four consecutive whole numbers is 162. What is the smallest of them?
  31. 31.The sum of three consecutive whole numbers is 57. What is the largest of them?
  32. 32.Solve: m/6 + m/2 = 4. What is m?
  33. 33.Solve: 6y + 13 = y + 53. What is y?
  34. 34.Solve: x/3 + x/2 = 5. What is x?
  35. 35.Solve: t/6 + t/3 = 18. What is t?
  36. 36.Solve: 3m + 14 = m + 24. What is m?
  37. 37.A father is 10 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  38. 38.The sum of three consecutive whole numbers is 81. What is the largest of them?
  39. 39.Solve: 4n + 10 = n + 52. What is n?
  40. 40.A father is 39 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?

Answer key

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

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