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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 772 · 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 length of a rectangle is 13 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  2. 2.Solve: y/2 + y/4 = 24. What is y?
  3. 3.Solve: n/2 + n/3 = 5. What is n?
  4. 4.Solve: 5(n − 2) = n + 6. What is n?
  5. 5.Solve: 4(y − 5) = 3y + 4. What is y?
  6. 6.The sum of four consecutive whole numbers is 58. What is the smallest of them?
  7. 7.Solve: 5(x − 1) = 2x + 37. What is x?
  8. 8.Solve: 8p + 5 = 3p + 20. What is p?
  9. 9.Solve: 8p + 20 = 4p + 44. What is p?
  10. 10.Solve: t/4 + t/6 = 5. What is t?
  11. 11.Solve: 7n + 6 = 2n + 11. What is n?
  12. 12.A father is 14 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  13. 13.Solve: t/6 + t/2 = 4. What is t?
  14. 14.A father is 12 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  15. 15.Solve: 7y + 5 = 3y + 61. What is y?
  16. 16.Solve: 7t + 18 = 3t + 26. What is t?
  17. 17.Solve: x/4 + x/2 = 12. What is x?
  18. 18.Solve: 5(n − 1) = 3n + 11. What is n?
  19. 19.A father is 24 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?
  20. 20.The length of a rectangle is 14 cm more than its width. Its perimeter is 148 cm. What is its width (in cm)?
  21. 21.Solve: 5p + 2 = p + 22. What is p?
  22. 22.A father is 14 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  23. 23.Solve: 5t + 6 = 2t + 36. What is t?
  24. 24.Solve: 7x + 19 = x + 49. What is x?
  25. 25.Solve: 4(m − 5) = 3m + 8. What is m?
  26. 26.Solve: y/5 + y/2 = 42. What is y?
  27. 27.The length of a rectangle is 8 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  28. 28.Solve: 7m + 2 = 3m + 54. What is m?
  29. 29.Solve: 8t + 13 = 4t + 17. What is t?
  30. 30.Solve: 3t + 18 = t + 42. What is t?
  31. 31.The sum of four consecutive whole numbers is 226. What is the largest of them?
  32. 32.The length of a rectangle is 3 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  33. 33.Solve: 7m + 19 = 3m + 71. What is m?
  34. 34.The sum of two consecutive whole numbers is 27. What is the smallest of them?
  35. 35.Solve: 5x + 3 = x + 7. What is x?
  36. 36.Solve: 4n + 19 = 3n + 30. What is n?
  37. 37.Solve: 3p + 20 = p + 26. What is p?
  38. 38.A father is 14 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?
  39. 39.Solve: 9p + 5 = p + 93. What is p?
  40. 40.Solve: 6(n − 3) = 2n + 30. What is n?

Answer key

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

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