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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 360 · 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: 6(n − 4) = 4n + 16. What is n?
  2. 2.A father is 18 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  3. 3.Solve: 9n + 2 = 8n + 14. What is n?
  4. 4.The length of a rectangle is 10 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  5. 5.A father is 22 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?
  6. 6.Solve: 3x + 7 = x + 25. What is x?
  7. 7.The length of a rectangle is 1 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  8. 8.The sum of four consecutive whole numbers is 238. What is the largest of them?
  9. 9.The sum of four consecutive whole numbers is 62. What is the largest of them?
  10. 10.Solve: 6(n − 5) = n + 25. What is n?
  11. 11.Solve: 4t + 17 = 3t + 29. What is t?
  12. 12.The length of a rectangle is 9 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  13. 13.The length of a rectangle is 2 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  14. 14.Solve: 6y + 2 = y + 72. What is y?
  15. 15.A father is 18 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  16. 16.The length of a rectangle is 5 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  17. 17.Solve: t/4 + t/6 = 20. What is t?
  18. 18.The length of a rectangle is 9 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  19. 19.The length of a rectangle is 13 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  20. 20.Solve: 5(t − 4) = 2t + 4. What is t?
  21. 21.A father is 27 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  22. 22.The length of a rectangle is 5 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  23. 23.Solve: 4y + 18 = 2y + 26. What is y?
  24. 24.The length of a rectangle is 11 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  25. 25.A father is 9 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?
  26. 26.The sum of four consecutive whole numbers is 50. What is the smallest of them?
  27. 27.The sum of four consecutive whole numbers is 74. What is the smallest of them?
  28. 28.The sum of two consecutive whole numbers is 75. What is the smallest of them?
  29. 29.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  30. 30.A father is 6 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?
  31. 31.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  32. 32.Solve: 5(n − 1) = n + 39. What is n?
  33. 33.Solve: 6(n − 4) = 3n + 27. What is n?
  34. 34.The sum of four consecutive whole numbers is 38. What is the smallest of them?
  35. 35.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  36. 36.The length of a rectangle is 1 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  37. 37.Solve: 3t + 14 = t + 34. What is t?
  38. 38.The length of a rectangle is 1 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  39. 39.Solve: 8n + 12 = 6n + 36. What is n?
  40. 40.A father is 12 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?

Answer key

  1. 20
  2. 10
  3. 12
  4. 6
  5. 10
  6. 9
  7. 11
  8. 61
  9. 17
  10. 11
  11. 12
  12. 2
  13. 21
  14. 14
  15. 7
  16. 26
  17. 48
  18. 19
  19. 23
  20. 8
  21. 4
  22. 14
  23. 4
  24. 8
  25. 2
  26. 11
  27. 17
  28. 37
  29. 20
  30. 2
  31. 12
  32. 11
  33. 17
  34. 8
  35. 4
  36. 12
  37. 10
  38. 22
  39. 12
  40. 2

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