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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 745 · 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: 6x + 17 = 3x + 44. What is x?
  2. 2.Solve: 6(m − 1) = 3m + 21. What is m?
  3. 3.Solve: y/6 + y/5 = 22. What is y?
  4. 4.Solve: 4(n − 1) = n + 11. What is n?
  5. 5.Solve: 5(m − 1) = 4m + 5. What is m?
  6. 6.Solve: p/4 + p/5 = 63. What is p?
  7. 7.Solve: m/5 + m/2 = 21. What is m?
  8. 8.Solve: 4(m − 1) = 2m + 10. What is m?
  9. 9.Solve: 4(n − 2) = n + 28. What is n?
  10. 10.Solve: 3(t − 1) = 2t + 6. What is t?
  11. 11.Solve: 3(x − 4) = x + 4. What is x?
  12. 12.Solve: 6(t − 3) = 3t + 3. What is t?
  13. 13.Solve: m/4 + m/3 = 14. What is m?
  14. 14.Solve: 3(y − 2) = y + 14. What is y?
  15. 15.Solve: y/3 + y/6 = 3. What is y?
  16. 16.Solve: 6(n − 1) = 3n + 30. What is n?
  17. 17.The sum of two consecutive whole numbers is 45. What is the largest of them?
  18. 18.The length of a rectangle is 5 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  19. 19.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?
  20. 20.Solve: 5(x − 1) = 3x + 3. What is x?
  21. 21.Solve: 6x + 7 = 5x + 15. What is x?
  22. 22.Solve: x/3 + x/5 = 32. What is x?
  23. 23.Solve: 4y + 8 = 3y + 12. What is y?
  24. 24.Solve: 9y + 11 = 7y + 41. What is y?
  25. 25.The sum of three consecutive whole numbers is 60. What is the largest of them?
  26. 26.Solve: 3p + 15 = p + 41. What is p?
  27. 27.Solve: 5t + 17 = 4t + 19. What is t?
  28. 28.Solve: n/2 + n/4 = 3. What is n?
  29. 29.A father is 36 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  30. 30.Solve: t/5 + t/4 = 45. What is t?
  31. 31.Solve: 6t + 10 = 2t + 26. What is t?
  32. 32.The length of a rectangle is 3 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  33. 33.Solve: 4m + 15 = 3m + 28. What is m?
  34. 34.Solve: p/4 + p/3 = 42. What is p?
  35. 35.Solve: 7t + 14 = 5t + 34. What is t?
  36. 36.A father is 28 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  37. 37.Solve: 9x + 16 = 2x + 30. What is x?
  38. 38.Solve: 5(n − 1) = 2n + 7. What is n?
  39. 39.The length of a rectangle is 5 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  40. 40.A father is 6 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?

Answer key

  1. 9
  2. 9
  3. 60
  4. 5
  5. 10
  6. 140
  7. 30
  8. 7
  9. 12
  10. 9
  11. 8
  12. 7
  13. 24
  14. 10
  15. 6
  16. 12
  17. 23
  18. 8
  19. 11
  20. 4
  21. 8
  22. 60
  23. 4
  24. 15
  25. 21
  26. 13
  27. 2
  28. 4
  29. 10
  30. 100
  31. 4
  32. 10
  33. 13
  34. 72
  35. 10
  36. 6
  37. 2
  38. 4
  39. 7
  40. 2

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