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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 791 · 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.The sum of two consecutive whole numbers is 97. What is the smallest of them?
  2. 2.Solve: x/5 + x/4 = 72. What is x?
  3. 3.The length of a rectangle is 5 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  4. 4.Solve: n/4 + n/3 = 49. What is n?
  5. 5.Solve: 6n + 11 = n + 56. What is n?
  6. 6.The length of a rectangle is 2 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  7. 7.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?
  8. 8.Solve: 6p + 15 = 4p + 39. What is p?
  9. 9.A father is 26 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?
  10. 10.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?
  11. 11.The sum of four consecutive whole numbers is 194. What is the smallest of them?
  12. 12.Solve: p/5 + p/2 = 21. What is p?
  13. 13.The sum of three consecutive whole numbers is 87. What is the smallest of them?
  14. 14.Solve: 3(n − 2) = n + 4. What is n?
  15. 15.The length of a rectangle is 4 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  16. 16.Solve: 6(x − 1) = 2x + 22. What is x?
  17. 17.The sum of three consecutive whole numbers is 63. What is the largest of them?
  18. 18.The length of a rectangle is 14 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  19. 19.Solve: 6(x − 4) = 5x + 3. What is x?
  20. 20.The sum of two consecutive whole numbers is 99. What is the smallest of them?
  21. 21.Solve: p/6 + p/4 = 25. What is p?
  22. 22.The sum of three consecutive whole numbers is 171. What is the smallest of them?
  23. 23.A father is 12 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?
  24. 24.Solve: 9m + 6 = 8m + 8. What is m?
  25. 25.The length of a rectangle is 6 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  26. 26.Solve: m/2 + m/4 = 12. What is m?
  27. 27.The sum of three consecutive whole numbers is 18. What is the smallest of them?
  28. 28.Solve: x/2 + x/4 = 15. What is x?
  29. 29.The sum of three consecutive whole numbers is 141. What is the smallest of them?
  30. 30.Solve: m/6 + m/3 = 15. What is m?
  31. 31.The sum of four consecutive whole numbers is 78. What is the largest of them?
  32. 32.Solve: 7m + 17 = 5m + 27. What is m?
  33. 33.A father is 20 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.Solve: 3y + 13 = 2y + 14. What is y?
  35. 35.Solve: 3m + 6 = m + 10. What is m?
  36. 36.The length of a rectangle is 14 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  37. 37.The length of a rectangle is 8 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  38. 38.Solve: 3m + 10 = 2m + 23. What is m?
  39. 39.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?
  40. 40.Solve: 6x + 10 = 2x + 70. What is x?

Answer key

  1. 48
  2. 160
  3. 12
  4. 84
  5. 9
  6. 13
  7. 3
  8. 12
  9. 7
  10. 4
  11. 47
  12. 30
  13. 28
  14. 5
  15. 25
  16. 7
  17. 22
  18. 16
  19. 27
  20. 49
  21. 60
  22. 56
  23. 5
  24. 2
  25. 15
  26. 16
  27. 5
  28. 20
  29. 46
  30. 30
  31. 21
  32. 5
  33. 6
  34. 1
  35. 2
  36. 2
  37. 12
  38. 13
  39. 10
  40. 15

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