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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 720 · 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: 9m + 10 = 5m + 54. What is m?
  2. 2.Solve: m/2 + m/4 = 3. What is m?
  3. 3.Solve: 6(n − 1) = 2n + 14. What is n?
  4. 4.The sum of three consecutive whole numbers is 45. What is the smallest of them?
  5. 5.Solve: n/6 + n/4 = 35. What is n?
  6. 6.Solve: n/3 + n/6 = 24. What is n?
  7. 7.The length of a rectangle is 6 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  8. 8.The length of a rectangle is 13 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  9. 9.Solve: 6(p − 2) = 4p + 18. What is p?
  10. 10.Solve: 6(y − 3) = 5y + 3. What is y?
  11. 11.Solve: 5(n − 2) = n + 10. What is n?
  12. 12.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  13. 13.Solve: 5x + 11 = 3x + 21. What is x?
  14. 14.Solve: 4t + 13 = 3t + 28. What is t?
  15. 15.The length of a rectangle is 12 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  16. 16.Solve: 3t + 12 = 2t + 22. What is t?
  17. 17.The sum of two consecutive whole numbers is 99. What is the largest of them?
  18. 18.Solve: 6(p − 5) = 4p + 4. What is p?
  19. 19.Solve: 4m + 4 = 2m + 20. What is m?
  20. 20.Solve: x/6 + x/4 = 5. What is x?
  21. 21.Solve: x/5 + x/2 = 14. What is x?
  22. 22.The sum of four consecutive whole numbers is 186. What is the smallest of them?
  23. 23.Solve: 3(x − 1) = x + 19. What is x?
  24. 24.Solve: y/2 + y/5 = 14. What is y?
  25. 25.Solve: 8x + 12 = 5x + 21. What is x?
  26. 26.Solve: 9t + 10 = 7t + 28. What is t?
  27. 27.Solve: 3(y − 4) = 2y + 13. What is y?
  28. 28.Solve: 6(p − 2) = 4p + 20. What is p?
  29. 29.Solve: y/2 + y/3 = 20. What is y?
  30. 30.The sum of four consecutive whole numbers is 154. What is the largest of them?
  31. 31.Solve: 4n + 10 = n + 31. What is n?
  32. 32.Solve: 6y + 1 = 4y + 23. What is y?
  33. 33.Solve: 6t + 3 = 2t + 23. What is t?
  34. 34.The sum of two consecutive whole numbers is 83. What is the largest of them?
  35. 35.The length of a rectangle is 15 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  36. 36.Solve: t/6 + t/5 = 11. What is t?
  37. 37.The length of a rectangle is 10 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  38. 38.Solve: 3x + 17 = x + 31. What is x?
  39. 39.Solve: m/4 + m/5 = 72. What is m?
  40. 40.A father is 10 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 11
  2. 4
  3. 5
  4. 14
  5. 84
  6. 48
  7. 16
  8. 4
  9. 15
  10. 21
  11. 5
  12. 12
  13. 5
  14. 15
  15. 16
  16. 10
  17. 50
  18. 17
  19. 8
  20. 12
  21. 20
  22. 45
  23. 11
  24. 20
  25. 3
  26. 9
  27. 25
  28. 16
  29. 24
  30. 40
  31. 7
  32. 11
  33. 5
  34. 42
  35. 8
  36. 30
  37. 2
  38. 7
  39. 160
  40. 6

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