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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 219 · 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: 9p + 11 = 2p + 53. What is p?
  2. 2.Solve: 6(x − 2) = 2x + 8. What is x?
  3. 3.Solve: 5n + 1 = 2n + 37. What is n?
  4. 4.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  5. 5.Solve: x/3 + x/2 = 5. What is x?
  6. 6.Solve: p/6 + p/2 = 24. What is p?
  7. 7.The length of a rectangle is 8 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  8. 8.The sum of four consecutive whole numbers is 174. What is the smallest of them?
  9. 9.Solve: y/2 + y/4 = 12. What is y?
  10. 10.Solve: t/4 + t/6 = 30. What is t?
  11. 11.Solve: x/4 + x/6 = 25. What is x?
  12. 12.Solve: n/2 + n/5 = 7. What is n?
  13. 13.The length of a rectangle is 6 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  14. 14.The sum of four consecutive whole numbers is 218. What is the smallest of them?
  15. 15.Solve: 9x + 5 = 4x + 10. What is x?
  16. 16.The sum of two consecutive whole numbers is 89. What is the smallest of them?
  17. 17.A father is 33 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: y/4 + y/3 = 56. What is y?
  19. 19.The sum of two consecutive whole numbers is 55. What is the largest of them?
  20. 20.The sum of four consecutive whole numbers is 226. What is the smallest of them?
  21. 21.The length of a rectangle is 9 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  22. 22.The length of a rectangle is 2 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  23. 23.Solve: 6y + 16 = 3y + 25. What is y?
  24. 24.Solve: 7m + 15 = 6m + 22. What is m?
  25. 25.Solve: 5(m − 1) = 2m + 25. What is m?
  26. 26.A father is 39 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?
  27. 27.Solve: p/5 + p/4 = 27. What is p?
  28. 28.Solve: 3(p − 3) = p + 25. What is p?
  29. 29.Solve: p/6 + p/4 = 40. What is p?
  30. 30.The length of a rectangle is 10 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  31. 31.A father is 54 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  32. 32.Solve: 5m + 5 = 2m + 50. What is m?
  33. 33.The length of a rectangle is 12 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  34. 34.The sum of two consecutive whole numbers is 37. What is the largest of them?
  35. 35.The sum of two consecutive whole numbers is 95. What is the largest of them?
  36. 36.Solve: 6(t − 5) = 3t + 12. What is t?
  37. 37.Solve: 5(p − 3) = p + 9. What is p?
  38. 38.The length of a rectangle is 4 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  39. 39.The sum of four consecutive whole numbers is 178. What is the largest of them?
  40. 40.Solve: 3x + 15 = 2x + 21. What is x?

Answer key

  1. 6
  2. 5
  3. 12
  4. 3
  5. 6
  6. 36
  7. 9
  8. 42
  9. 16
  10. 72
  11. 60
  12. 10
  13. 16
  14. 53
  15. 1
  16. 44
  17. 8
  18. 96
  19. 28
  20. 55
  21. 24
  22. 16
  23. 3
  24. 7
  25. 10
  26. 11
  27. 60
  28. 17
  29. 96
  30. 10
  31. 10
  32. 15
  33. 14
  34. 19
  35. 48
  36. 14
  37. 6
  38. 16
  39. 46
  40. 6

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