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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 734 · 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: 8n + 16 = n + 86. What is n?
  2. 2.The length of a rectangle is 15 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  3. 3.Solve: 4(x − 2) = 2x + 22. What is x?
  4. 4.Solve: 9p + 13 = 5p + 65. What is p?
  5. 5.Solve: 3(x − 4) = 2x + 6. What is x?
  6. 6.The length of a rectangle is 14 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  7. 7.The length of a rectangle is 10 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  8. 8.The sum of four consecutive whole numbers is 58. What is the smallest of them?
  9. 9.Solve: x/5 + x/6 = 44. What is x?
  10. 10.Solve: 7x + 2 = 2x + 37. What is x?
  11. 11.The sum of four consecutive whole numbers is 98. What is the largest of them?
  12. 12.Solve: 3p + 17 = p + 43. What is p?
  13. 13.Solve: 7m + 8 = 3m + 12. What is m?
  14. 14.The sum of three consecutive whole numbers is 90. What is the smallest of them?
  15. 15.Solve: 4(x − 3) = x + 3. What is x?
  16. 16.Solve: y/2 + y/4 = 21. What is y?
  17. 17.A father is 45 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  18. 18.Solve: 9m + 16 = m + 88. What is m?
  19. 19.A father is 42 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  20. 20.A father is 36 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?
  21. 21.Solve: 9t + 3 = 3t + 63. What is t?
  22. 22.The sum of four consecutive whole numbers is 82. What is the largest of them?
  23. 23.The sum of three consecutive whole numbers is 102. What is the smallest of them?
  24. 24.The length of a rectangle is 1 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  25. 25.Solve: 4y + 19 = 3y + 31. What is y?
  26. 26.Solve: y/3 + y/2 = 20. What is y?
  27. 27.The sum of three consecutive whole numbers is 33. What is the smallest of them?
  28. 28.Solve: 4y + 4 = y + 49. What is y?
  29. 29.Solve: 4(t − 1) = 2t + 22. What is t?
  30. 30.The sum of two consecutive whole numbers is 45. What is the smallest of them?
  31. 31.Solve: 5(y − 4) = 3y + 22. What is y?
  32. 32.A father is 12 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  33. 33.A father is 42 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?
  34. 34.Solve: 9t + 5 = 2t + 89. What is t?
  35. 35.The sum of four consecutive whole numbers is 230. What is the largest of them?
  36. 36.Solve: 6t + 16 = 4t + 36. What is t?
  37. 37.Solve: x/3 + x/6 = 9. What is x?
  38. 38.Solve: p/3 + p/5 = 56. What is p?
  39. 39.Solve: 4x + 6 = x + 12. What is x?
  40. 40.A father is 28 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?

Answer key

  1. 10
  2. 8
  3. 15
  4. 13
  5. 18
  6. 9
  7. 22
  8. 13
  9. 120
  10. 7
  11. 26
  12. 13
  13. 1
  14. 29
  15. 5
  16. 28
  17. 12
  18. 9
  19. 9
  20. 5
  21. 10
  22. 22
  23. 33
  24. 22
  25. 12
  26. 24
  27. 10
  28. 15
  29. 13
  30. 22
  31. 21
  32. 2
  33. 12
  34. 12
  35. 59
  36. 10
  37. 18
  38. 105
  39. 2
  40. 11

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