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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 80 · 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: 6(n − 5) = n + 65. What is n?
  2. 2.Solve: t/5 + t/3 = 64. What is t?
  3. 3.The length of a rectangle is 12 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  4. 4.Solve: x/2 + x/3 = 40. What is x?
  5. 5.Solve: 3p + 17 = p + 23. What is p?
  6. 6.Solve: p/3 + p/4 = 35. What is p?
  7. 7.A father is 57 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?
  8. 8.Solve: y/5 + y/3 = 8. What is y?
  9. 9.Solve: 7n + 16 = n + 28. What is n?
  10. 10.A father is 18 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  11. 11.Solve: 9t + 11 = t + 35. What is t?
  12. 12.Solve: p/3 + p/2 = 10. What is p?
  13. 13.The sum of three consecutive whole numbers is 54. What is the smallest of them?
  14. 14.Solve: 4(x − 3) = x + 6. What is x?
  15. 15.The sum of two consecutive whole numbers is 93. What is the largest of them?
  16. 16.The length of a rectangle is 4 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  17. 17.Solve: 6(n − 1) = 5n + 10. What is n?
  18. 18.A father is 30 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?
  19. 19.Solve: 5(x − 2) = 4x + 2. What is x?
  20. 20.Solve: n/2 + n/3 = 25. What is n?
  21. 21.Solve: x/2 + x/5 = 28. What is x?
  22. 22.Solve: 8y + 2 = 7y + 14. What is y?
  23. 23.Solve: 6(n − 4) = 3n + 36. What is n?
  24. 24.The sum of two consecutive whole numbers is 39. What is the smallest of them?
  25. 25.The length of a rectangle is 15 cm more than its width. Its perimeter is 150 cm. What is its width (in cm)?
  26. 26.Solve: 6p + 19 = 2p + 75. What is p?
  27. 27.The sum of three consecutive whole numbers is 78. What is the largest of them?
  28. 28.Solve: 7x + 8 = 3x + 40. What is x?
  29. 29.A father is 15 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  30. 30.Solve: 8m + 9 = 4m + 61. What is m?
  31. 31.Solve: p/5 + p/3 = 40. What is p?
  32. 32.Solve: 8n + 20 = 5n + 53. What is n?
  33. 33.The length of a rectangle is 1 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  34. 34.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?
  35. 35.The sum of two consecutive whole numbers is 33. What is the largest of them?
  36. 36.Solve: 9t + 20 = 4t + 60. What is t?
  37. 37.Solve: 9n + 19 = 7n + 29. What is n?
  38. 38.Solve: x/5 + x/6 = 88. What is x?
  39. 39.Solve: 3m + 8 = m + 10. What is m?
  40. 40.The length of a rectangle is 7 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?

Answer key

  1. 19
  2. 120
  3. 10
  4. 48
  5. 3
  6. 60
  7. 12
  8. 15
  9. 2
  10. 4
  11. 3
  12. 12
  13. 17
  14. 6
  15. 47
  16. 7
  17. 16
  18. 3
  19. 12
  20. 30
  21. 40
  22. 12
  23. 20
  24. 19
  25. 30
  26. 14
  27. 27
  28. 8
  29. 4
  30. 13
  31. 75
  32. 11
  33. 10
  34. 6
  35. 17
  36. 8
  37. 5
  38. 240
  39. 1
  40. 25

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