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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 8 · 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 four consecutive whole numbers is 82. What is the smallest of them?
  2. 2.The length of a rectangle is 6 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  3. 3.Solve: n/3 + n/5 = 40. What is n?
  4. 4.Solve: 7p + 6 = p + 24. What is p?
  5. 5.The length of a rectangle is 10 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  6. 6.The sum of three consecutive whole numbers is 99. What is the smallest of them?
  7. 7.Solve: t/3 + t/6 = 6. What is t?
  8. 8.A father is 45 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?
  9. 9.Solve: 4n + 10 = 2n + 34. What is n?
  10. 10.Solve: 6m + 5 = 5m + 7. What is m?
  11. 11.Solve: 5(y − 3) = y + 9. What is y?
  12. 12.A father is 22 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?
  13. 13.The length of a rectangle is 10 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  14. 14.Solve: 3p + 9 = p + 33. What is p?
  15. 15.Solve: 4m + 16 = 3m + 19. What is m?
  16. 16.Solve: p/4 + p/2 = 12. What is p?
  17. 17.Solve: 4(n − 4) = n + 14. What is n?
  18. 18.The sum of two consecutive whole numbers is 77. What is the largest of them?
  19. 19.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  20. 20.Solve: 3x + 16 = x + 34. What is x?
  21. 21.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?
  22. 22.Solve: n/3 + n/6 = 15. What is n?
  23. 23.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?
  24. 24.The sum of two consecutive whole numbers is 81. What is the largest of them?
  25. 25.Solve: n/2 + n/5 = 21. What is n?
  26. 26.A father is 15 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  27. 27.Solve: 7t + 18 = 4t + 60. What is t?
  28. 28.A father is 26 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?
  29. 29.Solve: m/3 + m/2 = 20. What is m?
  30. 30.Solve: 5(x − 1) = 4x + 3. What is x?
  31. 31.Solve: 5(n − 3) = 4n + 10. What is n?
  32. 32.The sum of four consecutive whole numbers is 170. What is the largest of them?
  33. 33.Solve: n/6 + n/3 = 9. What is n?
  34. 34.The sum of four consecutive whole numbers is 154. What is the smallest of them?
  35. 35.The length of a rectangle is 4 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  36. 36.A father is 57 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  37. 37.A father is 24 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?
  38. 38.Solve: 3x + 16 = 2x + 18. What is x?
  39. 39.The length of a rectangle is 5 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  40. 40.A father is 8 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?

Answer key

  1. 19
  2. 3
  3. 75
  4. 3
  5. 9
  6. 32
  7. 12
  8. 11
  9. 12
  10. 2
  11. 6
  12. 7
  13. 2
  14. 12
  15. 3
  16. 16
  17. 10
  18. 39
  19. 3
  20. 9
  21. 7
  22. 30
  23. 2
  24. 41
  25. 30
  26. 10
  27. 14
  28. 8
  29. 24
  30. 8
  31. 25
  32. 44
  33. 18
  34. 37
  35. 3
  36. 11
  37. 10
  38. 2
  39. 8
  40. 2

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