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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 390 · 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 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  2. 2.Solve: y/5 + y/4 = 45. What is y?
  3. 3.The sum of three consecutive whole numbers is 111. What is the smallest of them?
  4. 4.The sum of three consecutive whole numbers is 87. What is the smallest of them?
  5. 5.A father is 18 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?
  6. 6.Solve: y/6 + y/3 = 18. What is y?
  7. 7.Solve: y/3 + y/2 = 30. What is y?
  8. 8.Solve: t/5 + t/4 = 63. What is t?
  9. 9.The sum of four consecutive whole numbers is 30. What is the largest of them?
  10. 10.Solve: 3(p − 1) = 2p + 5. What is p?
  11. 11.Solve: 3n + 8 = n + 10. What is n?
  12. 12.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  13. 13.Solve: y/2 + y/5 = 7. What is y?
  14. 14.Solve: 5(x − 1) = 2x + 28. What is x?
  15. 15.A father is 14 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  16. 16.The sum of two consecutive whole numbers is 15. What is the smallest of them?
  17. 17.The length of a rectangle is 14 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  18. 18.The length of a rectangle is 13 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  19. 19.A father is 15 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  20. 20.The length of a rectangle is 3 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  21. 21.Solve: 9n + 4 = 7n + 30. What is n?
  22. 22.A father is 30 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?
  23. 23.The sum of three consecutive whole numbers is 159. What is the smallest of them?
  24. 24.Solve: 4x + 15 = x + 54. What is x?
  25. 25.The length of a rectangle is 5 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  26. 26.The sum of two consecutive whole numbers is 81. What is the smallest of them?
  27. 27.Solve: t/5 + t/2 = 14. What is t?
  28. 28.The sum of four consecutive whole numbers is 214. What is the smallest of them?
  29. 29.The sum of four consecutive whole numbers is 190. What is the largest of them?
  30. 30.A father is 30 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  31. 31.A father is 42 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?
  32. 32.Solve: 3y + 2 = 2y + 5. What is y?
  33. 33.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  34. 34.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  35. 35.The length of a rectangle is 4 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  36. 36.The sum of three consecutive whole numbers is 33. What is the largest of them?
  37. 37.Solve: p/4 + p/2 = 12. What is p?
  38. 38.A father is 18 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?
  39. 39.Solve: 3(n − 2) = n + 26. What is n?
  40. 40.The length of a rectangle is 10 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?

Answer key

  1. 10
  2. 100
  3. 36
  4. 28
  5. 4
  6. 36
  7. 36
  8. 140
  9. 9
  10. 8
  11. 1
  12. 3
  13. 10
  14. 11
  15. 10
  16. 7
  17. 10
  18. 15
  19. 9
  20. 29
  21. 13
  22. 8
  23. 52
  24. 13
  25. 12
  26. 40
  27. 20
  28. 52
  29. 49
  30. 4
  31. 12
  32. 3
  33. 6
  34. 4
  35. 29
  36. 12
  37. 16
  38. 2
  39. 16
  40. 3

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