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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 779 · 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: 9p + 10 = 3p + 58. What is p?
  2. 2.Solve: 3y + 5 = 2y + 6. What is y?
  3. 3.Solve: 3(t − 5) = 2t + 13. What is t?
  4. 4.Solve: 4y + 8 = 2y + 34. What is y?
  5. 5.Solve: 7n + 7 = 4n + 52. What is n?
  6. 6.Solve: 5(m − 2) = 4m + 10. What is m?
  7. 7.Solve: 6(x − 1) = 5x + 1. What is x?
  8. 8.Solve: 5p + 13 = 3p + 23. What is p?
  9. 9.Solve: 4(y − 4) = 3y + 8. What is y?
  10. 10.A father is 16 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  11. 11.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?
  12. 12.Solve: 8y + 3 = 2y + 63. What is y?
  13. 13.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  14. 14.Solve: 3x + 7 = 2x + 20. What is x?
  15. 15.A father is 24 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?
  16. 16.Solve: 4(n − 4) = n + 5. What is n?
  17. 17.Solve: 5(y − 2) = 2y + 23. What is y?
  18. 18.The sum of four consecutive whole numbers is 110. What is the smallest of them?
  19. 19.Solve: 4m + 1 = m + 7. What is m?
  20. 20.The sum of four consecutive whole numbers is 122. What is the largest of them?
  21. 21.Solve: 6y + 4 = 2y + 12. What is y?
  22. 22.Solve: y/3 + y/6 = 3. What is y?
  23. 23.Solve: 9n + 15 = 4n + 60. What is n?
  24. 24.The sum of four consecutive whole numbers is 206. What is the largest of them?
  25. 25.A father is 14 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  26. 26.Solve: 5(m − 2) = 3m + 12. What is m?
  27. 27.The length of a rectangle is 15 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  28. 28.Solve: 7m + 19 = 4m + 28. What is m?
  29. 29.A father is 6 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  30. 30.Solve: 6(y − 4) = 2y + 40. What is y?
  31. 31.Solve: 3t + 8 = t + 30. What is t?
  32. 32.Solve: 6n + 2 = 5n + 10. What is n?
  33. 33.Solve: m/3 + m/6 = 6. What is m?
  34. 34.The length of a rectangle is 5 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  35. 35.The length of a rectangle is 3 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  36. 36.The sum of four consecutive whole numbers is 190. What is the smallest of them?
  37. 37.Solve: m/2 + m/3 = 10. What is m?
  38. 38.Solve: y/4 + y/6 = 5. What is y?
  39. 39.The sum of four consecutive whole numbers is 238. What is the smallest of them?
  40. 40.The sum of two consecutive whole numbers is 81. What is the largest of them?

Answer key

  1. 8
  2. 1
  3. 28
  4. 13
  5. 15
  6. 20
  7. 7
  8. 5
  9. 24
  10. 11
  11. 4
  12. 10
  13. 6
  14. 13
  15. 6
  16. 7
  17. 11
  18. 26
  19. 2
  20. 32
  21. 2
  22. 6
  23. 9
  24. 53
  25. 4
  26. 11
  27. 4
  28. 3
  29. 5
  30. 16
  31. 11
  32. 8
  33. 12
  34. 14
  35. 19
  36. 46
  37. 12
  38. 12
  39. 58
  40. 41

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