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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 409 · 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(y − 5) = 5y + 4. What is y?
  2. 2.The sum of two consecutive whole numbers is 87. What is the largest of them?
  3. 3.Solve: n/3 + n/5 = 56. What is n?
  4. 4.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?
  5. 5.The length of a rectangle is 4 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  6. 6.The length of a rectangle is 14 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  7. 7.Solve: 6(y − 2) = 2y + 16. What is y?
  8. 8.A father is 20 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?
  9. 9.Solve: 3n + 16 = n + 38. What is n?
  10. 10.Solve: 5(n − 5) = 2n + 5. What is n?
  11. 11.A father is 36 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?
  12. 12.The length of a rectangle is 8 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  13. 13.A father is 30 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?
  14. 14.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?
  15. 15.Solve: 4(t − 1) = 2t + 2. What is t?
  16. 16.The length of a rectangle is 14 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  17. 17.Solve: 3x + 3 = 2x + 8. What is x?
  18. 18.A father is 18 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  19. 19.The length of a rectangle is 1 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  20. 20.A father is 33 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: 3x + 6 = 2x + 11. What is x?
  22. 22.The length of a rectangle is 12 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  23. 23.Solve: 5t + 14 = 3t + 16. What is t?
  24. 24.The length of a rectangle is 2 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  25. 25.The length of a rectangle is 1 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  26. 26.Solve: 3x + 1 = 2x + 2. What is x?
  27. 27.The length of a rectangle is 8 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  28. 28.Solve: 5n + 15 = 4n + 29. What is n?
  29. 29.Solve: t/6 + t/3 = 24. What is t?
  30. 30.The length of a rectangle is 1 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  31. 31.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  33. 33.The length of a rectangle is 11 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  34. 34.The length of a rectangle is 4 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  35. 35.Solve: 4t + 10 = t + 16. What is t?
  36. 36.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  37. 37.Solve: 9m + 10 = m + 122. What is m?
  38. 38.A father is 8 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  39. 39.Solve: 5(x − 1) = x + 27. What is x?
  40. 40.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?

Answer key

  1. 34
  2. 44
  3. 105
  4. 2
  5. 15
  6. 10
  7. 7
  8. 8
  9. 11
  10. 10
  11. 7
  12. 19
  13. 11
  14. 6
  15. 3
  16. 17
  17. 5
  18. 6
  19. 8
  20. 8
  21. 5
  22. 12
  23. 1
  24. 15
  25. 16
  26. 1
  27. 21
  28. 14
  29. 48
  30. 18
  31. 2
  32. 13
  33. 21
  34. 11
  35. 2
  36. 2
  37. 14
  38. 3
  39. 8
  40. 6

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