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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 700 · 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: 4m + 4 = 2m + 22. What is m?
  2. 2.A father is 10 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  3. 3.Solve: m/4 + m/3 = 56. What is m?
  4. 4.The sum of four consecutive whole numbers is 242. What is the largest of them?
  5. 5.Solve: 4x + 2 = 3x + 15. What is x?
  6. 6.Solve: 6t + 18 = 5t + 23. What is t?
  7. 7.Solve: x/6 + x/4 = 20. What is x?
  8. 8.The sum of two consecutive whole numbers is 73. What is the smallest of them?
  9. 9.A father is 24 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?
  10. 10.Solve: x/5 + x/3 = 24. What is x?
  11. 11.Solve: 6t + 5 = 5t + 8. What is t?
  12. 12.The sum of four consecutive whole numbers is 210. What is the largest of them?
  13. 13.Solve: 8p + 2 = 2p + 92. What is p?
  14. 14.A father is 27 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?
  15. 15.Solve: x/5 + x/4 = 27. What is x?
  16. 16.The length of a rectangle is 2 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  17. 17.The sum of three consecutive whole numbers is 183. What is the smallest of them?
  18. 18.Solve: 3n + 20 = 2n + 29. What is n?
  19. 19.Solve: 4m + 10 = 3m + 12. What is m?
  20. 20.Solve: 6y + 20 = y + 80. What is y?
  21. 21.Solve: 6(x − 3) = 5x + 11. What is x?
  22. 22.Solve: x/5 + x/6 = 55. What is x?
  23. 23.Solve: 7y + 5 = y + 47. What is y?
  24. 24.Solve: 6n + 3 = 5n + 9. What is n?
  25. 25.Solve: 4y + 7 = 3y + 12. What is y?
  26. 26.A father is 30 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?
  27. 27.The sum of four consecutive whole numbers is 150. What is the largest of them?
  28. 28.A father is 24 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  29. 29.Solve: 4(y − 5) = y + 31. What is y?
  30. 30.Solve: 7n + 2 = 4n + 14. What is n?
  31. 31.Solve: 3x + 9 = x + 27. What is x?
  32. 32.Solve: 9t + 16 = 3t + 34. What is t?
  33. 33.Solve: m/5 + m/6 = 55. What is m?
  34. 34.The length of a rectangle is 7 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  35. 35.Solve: x/5 + x/6 = 66. What is x?
  36. 36.Solve: 5t + 1 = 2t + 10. What is t?
  37. 37.Solve: n/2 + n/5 = 42. What is n?
  38. 38.The length of a rectangle is 2 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  39. 39.A father is 9 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  40. 40.A father is 42 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?

Answer key

  1. 9
  2. 5
  3. 96
  4. 62
  5. 13
  6. 5
  7. 48
  8. 36
  9. 5
  10. 45
  11. 3
  12. 54
  13. 15
  14. 8
  15. 60
  16. 6
  17. 60
  18. 9
  19. 2
  20. 12
  21. 29
  22. 150
  23. 7
  24. 6
  25. 5
  26. 6
  27. 39
  28. 11
  29. 17
  30. 4
  31. 9
  32. 3
  33. 150
  34. 2
  35. 180
  36. 3
  37. 60
  38. 10
  39. 4
  40. 11

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