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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 903 · 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: 4(y − 4) = 3y + 3. What is y?
  2. 2.The sum of four consecutive whole numbers is 158. What is the smallest of them?
  3. 3.The length of a rectangle is 1 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  4. 4.Solve: 5x + 5 = 2x + 50. What is x?
  5. 5.Solve: y/6 + y/4 = 10. What is y?
  6. 6.The sum of two consecutive whole numbers is 39. What is the smallest of them?
  7. 7.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  8. 8.Solve: n/2 + n/4 = 3. What is n?
  9. 9.The sum of two consecutive whole numbers is 99. What is the smallest of them?
  10. 10.Solve: 8x + 9 = 2x + 33. What is x?
  11. 11.The length of a rectangle is 4 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  12. 12.The length of a rectangle is 9 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  13. 13.The length of a rectangle is 13 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  14. 14.The length of a rectangle is 12 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  15. 15.Solve: 7n + 19 = 4n + 58. What is n?
  16. 16.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?
  17. 17.The length of a rectangle is 14 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  18. 18.The length of a rectangle is 3 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  19. 19.Solve: 6(n − 1) = 5n + 11. What is n?
  20. 20.Solve: t/5 + t/4 = 27. What is t?
  21. 21.Solve: 3(x − 2) = x + 22. What is x?
  22. 22.Solve: 4t + 1 = t + 22. What is t?
  23. 23.Solve: t/3 + t/5 = 48. What is t?
  24. 24.The sum of two consecutive whole numbers is 11. What is the smallest of them?
  25. 25.Solve: 3(m − 1) = m + 9. What is m?
  26. 26.Solve: x/6 + x/3 = 12. What is x?
  27. 27.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?
  28. 28.The length of a rectangle is 4 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  29. 29.Solve: 3(p − 1) = 2p + 12. What is p?
  30. 30.Solve: 6(p − 1) = p + 39. What is p?
  31. 31.Solve: y/4 + y/2 = 24. What is y?
  32. 32.A father is 32 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?
  33. 33.The sum of four consecutive whole numbers is 54. What is the smallest of them?
  34. 34.Solve: t/2 + t/6 = 24. What is t?
  35. 35.Solve: 5(t − 5) = 2t + 14. What is t?
  36. 36.Solve: 4(y − 1) = 2y + 10. What is y?
  37. 37.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  38. 38.Solve: 6(p − 2) = 3p + 6. What is p?
  39. 39.Solve: 5(p − 1) = 2p + 16. What is p?
  40. 40.Solve: 6(y − 2) = 5y + 2. What is y?

Answer key

  1. 19
  2. 38
  3. 25
  4. 15
  5. 24
  6. 19
  7. 2
  8. 4
  9. 49
  10. 4
  11. 26
  12. 12
  13. 11
  14. 11
  15. 13
  16. 8
  17. 22
  18. 26
  19. 17
  20. 60
  21. 14
  22. 7
  23. 90
  24. 5
  25. 6
  26. 24
  27. 11
  28. 17
  29. 15
  30. 9
  31. 32
  32. 12
  33. 12
  34. 36
  35. 13
  36. 7
  37. 11
  38. 6
  39. 7
  40. 14

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