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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 206 · 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 34 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  2. 2.The sum of three consecutive whole numbers is 171. What is the largest of them?
  3. 3.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?
  4. 4.Solve: 6t + 2 = 4t + 32. What is t?
  5. 5.The length of a rectangle is 15 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  6. 6.Solve: 3y + 16 = 2y + 31. What is y?
  7. 7.The sum of three consecutive whole numbers is 177. What is the largest of them?
  8. 8.The length of a rectangle is 7 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  9. 9.The length of a rectangle is 1 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  10. 10.A father is 28 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?
  11. 11.The length of a rectangle is 5 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  12. 12.A father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  13. 13.The sum of four consecutive whole numbers is 26. What is the smallest of them?
  14. 14.A father is 24 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?
  15. 15.Solve: 7p + 3 = p + 21. What is p?
  16. 16.A father is 16 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?
  17. 17.The length of a rectangle is 9 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  18. 18.Solve: 3n + 1 = n + 17. What is n?
  19. 19.Solve: 4p + 2 = 2p + 8. What is p?
  20. 20.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  21. 21.Solve: x/5 + x/3 = 56. What is x?
  22. 22.Solve: 6(m − 3) = 3m + 12. What is m?
  23. 23.The sum of three consecutive whole numbers is 90. What is the largest of them?
  24. 24.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?
  25. 25.A father is 16 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?
  26. 26.The sum of four consecutive whole numbers is 50. What is the smallest of them?
  27. 27.The length of a rectangle is 4 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  28. 28.Solve: 5(p − 4) = p + 12. What is p?
  29. 29.The sum of two consecutive whole numbers is 121. What is the smallest of them?
  30. 30.Solve: 5(x − 2) = 2x + 32. What is x?
  31. 31.The length of a rectangle is 15 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  33. 33.Solve: 9n + 5 = 8n + 12. What is n?
  34. 34.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  35. 35.The sum of four consecutive whole numbers is 134. What is the largest of them?
  36. 36.Solve: 3m + 12 = m + 26. What is m?
  37. 37.Solve: 5x + 13 = 4x + 24. What is x?
  38. 38.Solve: 5(x − 3) = x + 49. What is x?
  39. 39.Solve: x/4 + x/3 = 42. What is x?
  40. 40.The length of a rectangle is 6 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?

Answer key

  1. 9
  2. 58
  3. 7
  4. 15
  5. 18
  6. 15
  7. 60
  8. 20
  9. 20
  10. 7
  11. 6
  12. 2
  13. 5
  14. 5
  15. 3
  16. 2
  17. 19
  18. 8
  19. 3
  20. 5
  21. 105
  22. 10
  23. 31
  24. 4
  25. 6
  26. 11
  27. 22
  28. 8
  29. 60
  30. 14
  31. 19
  32. 15
  33. 7
  34. 2
  35. 35
  36. 7
  37. 11
  38. 16
  39. 72
  40. 16

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