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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 60 · 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: 8p + 7 = 7p + 10. What is p?
  2. 2.Solve: 5(n − 4) = n + 28. What is n?
  3. 3.Solve: 6t + 10 = 2t + 38. What is t?
  4. 4.Solve: 6x + 11 = 3x + 17. What is x?
  5. 5.Solve: 6(t − 3) = 5t + 5. What is t?
  6. 6.The sum of four consecutive whole numbers is 242. What is the largest of them?
  7. 7.Solve: 3p + 18 = 2p + 20. What is p?
  8. 8.The length of a rectangle is 15 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  9. 9.The sum of three consecutive whole numbers is 30. What is the largest of them?
  10. 10.The sum of three consecutive whole numbers is 93. What is the largest of them?
  11. 11.Solve: x/4 + x/5 = 63. What is x?
  12. 12.Solve: t/2 + t/5 = 7. What is t?
  13. 13.Solve: 5(y − 1) = y + 35. What is y?
  14. 14.Solve: 6n + 1 = n + 46. What is n?
  15. 15.Solve: 6(x − 4) = 5x + 10. What is x?
  16. 16.The length of a rectangle is 10 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  17. 17.A father is 26 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?
  18. 18.The sum of three consecutive whole numbers is 51. What is the smallest of them?
  19. 19.Solve: 9m + 13 = 5m + 33. What is m?
  20. 20.A father is 16 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  21. 21.Solve: 5(x − 4) = 4x + 3. What is x?
  22. 22.Solve: 3(n − 5) = 2n + 1. What is n?
  23. 23.The length of a rectangle is 10 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  24. 24.Solve: 3n + 10 = 2n + 19. What is n?
  25. 25.Solve: m/2 + m/4 = 18. What is m?
  26. 26.The sum of three consecutive whole numbers is 54. What is the largest of them?
  27. 27.Solve: 6(x − 5) = 3x + 33. What is x?
  28. 28.Solve: 6(m − 1) = 2m + 2. What is m?
  29. 29.The sum of three consecutive whole numbers is 168. What is the smallest of them?
  30. 30.The length of a rectangle is 3 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  31. 31.Solve: 3x + 15 = 2x + 30. What is x?
  32. 32.Solve: 8y + 12 = 4y + 16. What is y?
  33. 33.Solve: 3(x − 4) = x + 20. What is x?
  34. 34.Solve: 4y + 4 = 2y + 10. What is y?
  35. 35.The length of a rectangle is 7 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  36. 36.Solve: 3t + 7 = 2t + 8. What is t?
  37. 37.Solve: p/4 + p/2 = 3. What is p?
  38. 38.The sum of two consecutive whole numbers is 67. What is the largest of them?
  39. 39.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  40. 40.The sum of three consecutive whole numbers is 84. What is the largest of them?

Answer key

  1. 3
  2. 12
  3. 7
  4. 2
  5. 23
  6. 62
  7. 2
  8. 7
  9. 11
  10. 32
  11. 140
  12. 10
  13. 10
  14. 9
  15. 34
  16. 19
  17. 10
  18. 16
  19. 5
  20. 10
  21. 23
  22. 16
  23. 21
  24. 9
  25. 24
  26. 19
  27. 21
  28. 2
  29. 55
  30. 23
  31. 15
  32. 1
  33. 16
  34. 3
  35. 21
  36. 1
  37. 4
  38. 34
  39. 12
  40. 29

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