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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 965 · 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: 4(x − 5) = x + 25. What is x?
  2. 2.The sum of four consecutive whole numbers is 166. What is the smallest of them?
  3. 3.The sum of four consecutive whole numbers is 122. What is the smallest of them?
  4. 4.The length of a rectangle is 1 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  5. 5.Solve: 3(x − 4) = x + 20. What is x?
  6. 6.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  7. 7.Solve: 6(p − 5) = 5p + 4. What is p?
  8. 8.A father is 51 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  9. 9.The sum of two consecutive whole numbers is 59. What is the largest of them?
  10. 10.Solve: p/6 + p/5 = 55. What is p?
  11. 11.Solve: 5t + 8 = 3t + 12. What is t?
  12. 12.The length of a rectangle is 1 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  13. 13.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  14. 14.Solve: t/2 + t/5 = 49. What is t?
  15. 15.The sum of two consecutive whole numbers is 39. What is the largest of them?
  16. 16.Solve: 5x + 9 = x + 37. What is x?
  17. 17.The sum of three consecutive whole numbers is 33. What is the largest of them?
  18. 18.Solve: 5y + 19 = 2y + 25. What is y?
  19. 19.Solve: 4(p − 2) = 2p + 18. What is p?
  20. 20.Solve: t/5 + t/6 = 33. What is t?
  21. 21.Solve: 6(t − 2) = 5t + 12. What is t?
  22. 22.Solve: 3(t − 4) = t + 2. What is t?
  23. 23.Solve: 5(p − 3) = 4p + 2. What is p?
  24. 24.Solve: 4x + 2 = 2x + 14. What is x?
  25. 25.Solve: x/3 + x/5 = 56. What is x?
  26. 26.Solve: 3m + 18 = 2m + 33. What is m?
  27. 27.Solve: 4(x − 5) = 2x + 24. What is x?
  28. 28.Solve: x/6 + x/3 = 12. What is x?
  29. 29.Solve: 3x + 17 = x + 23. What is x?
  30. 30.The length of a rectangle is 7 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  31. 31.Solve: 5t + 11 = 3t + 17. What is t?
  32. 32.A father is 26 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?
  33. 33.The sum of four consecutive whole numbers is 42. What is the largest of them?
  34. 34.Solve: 9y + 8 = 8y + 12. What is y?
  35. 35.A father is 26 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  36. 36.Solve: 7y + 9 = y + 93. What is y?
  37. 37.Solve: 9x + 20 = 4x + 45. What is x?
  38. 38.Solve: n/6 + n/2 = 4. What is n?
  39. 39.A father is 54 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  40. 40.Solve: 8p + 1 = p + 71. What is p?

Answer key

  1. 15
  2. 40
  3. 29
  4. 3
  5. 16
  6. 3
  7. 34
  8. 11
  9. 30
  10. 150
  11. 2
  12. 9
  13. 20
  14. 70
  15. 20
  16. 7
  17. 12
  18. 2
  19. 13
  20. 90
  21. 24
  22. 7
  23. 17
  24. 6
  25. 105
  26. 15
  27. 22
  28. 24
  29. 3
  30. 27
  31. 3
  32. 7
  33. 12
  34. 4
  35. 8
  36. 14
  37. 5
  38. 6
  39. 11
  40. 10

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