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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 867 · 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.A father is 39 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?
  2. 2.The sum of three consecutive whole numbers is 18. What is the smallest of them?
  3. 3.Solve: y/2 + y/5 = 7. What is y?
  4. 4.Solve: 9x + 8 = 5x + 64. What is x?
  5. 5.Solve: 5(x − 3) = 3x + 1. What is x?
  6. 6.Solve: 8m + 12 = m + 117. What is m?
  7. 7.The sum of two consecutive whole numbers is 29. What is the largest of them?
  8. 8.The length of a rectangle is 5 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  9. 9.The sum of two consecutive whole numbers is 113. What is the largest of them?
  10. 10.A father is 30 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?
  11. 11.Solve: 4(t − 1) = 2t + 18. What is t?
  12. 12.Solve: 9x + 14 = x + 46. What is x?
  13. 13.Solve: y/3 + y/2 = 10. What is y?
  14. 14.A father is 21 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.The length of a rectangle is 7 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  16. 16.The sum of two consecutive whole numbers is 23. What is the largest of them?
  17. 17.Solve: 4n + 15 = n + 36. What is n?
  18. 18.Solve: 3x + 20 = x + 40. What is x?
  19. 19.Solve: n/5 + n/6 = 22. What is n?
  20. 20.A father is 39 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?
  21. 21.Solve: x/6 + x/5 = 22. What is x?
  22. 22.The sum of two consecutive whole numbers is 99. What is the smallest of them?
  23. 23.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?
  24. 24.Solve: 8y + 4 = 3y + 54. What is y?
  25. 25.A father is 22 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?
  26. 26.Solve: 4(m − 3) = m + 27. What is m?
  27. 27.Solve: p/6 + p/5 = 55. What is p?
  28. 28.Solve: 5y + 13 = 2y + 43. What is y?
  29. 29.Solve: 5(n − 1) = 4n + 8. What is n?
  30. 30.A father is 34 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?
  31. 31.Solve: x/5 + x/4 = 54. What is x?
  32. 32.The length of a rectangle is 6 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  33. 33.A father is 16 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?
  34. 34.The sum of four consecutive whole numbers is 174. What is the smallest of them?
  35. 35.The sum of three consecutive whole numbers is 39. What is the largest of them?
  36. 36.The sum of four consecutive whole numbers is 242. What is the smallest of them?
  37. 37.A father is 33 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 17 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  39. 39.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  40. 40.The length of a rectangle is 12 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?

Answer key

  1. 11
  2. 5
  3. 10
  4. 14
  5. 8
  6. 15
  7. 15
  8. 9
  9. 57
  10. 9
  11. 11
  12. 4
  13. 12
  14. 6
  15. 24
  16. 12
  17. 7
  18. 10
  19. 60
  20. 10
  21. 60
  22. 49
  23. 9
  24. 10
  25. 4
  26. 13
  27. 150
  28. 10
  29. 13
  30. 11
  31. 120
  32. 8
  33. 4
  34. 42
  35. 14
  36. 59
  37. 9
  38. 10
  39. 4
  40. 10

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