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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 694 · 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.The length of a rectangle is 10 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  2. 2.Solve: 3(y − 2) = 2y + 8. What is y?
  3. 3.The sum of three consecutive whole numbers is 60. What is the largest of them?
  4. 4.Solve: t/3 + t/4 = 7. What is t?
  5. 5.Solve: 5x + 15 = x + 59. What is x?
  6. 6.The length of a rectangle is 6 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  7. 7.Solve: 7p + 14 = p + 92. What is p?
  8. 8.Solve: 3(m − 5) = 2m + 7. What is m?
  9. 9.The length of a rectangle is 5 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  10. 10.A father is 6 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  11. 11.Solve: 6y + 7 = y + 52. What is y?
  12. 12.The sum of two consecutive whole numbers is 53. What is the smallest of them?
  13. 13.Solve: 5x + 11 = 3x + 19. What is x?
  14. 14.Solve: 5(x − 2) = x + 42. What is x?
  15. 15.Solve: 4(p − 3) = p + 39. What is p?
  16. 16.The sum of two consecutive whole numbers is 15. What is the largest of them?
  17. 17.Solve: 4(m − 5) = m + 34. What is m?
  18. 18.A father is 27 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?
  19. 19.The sum of three consecutive whole numbers is 174. What is the largest of them?
  20. 20.Solve: 6(x − 2) = x + 43. What is x?
  21. 21.The sum of two consecutive whole numbers is 49. What is the largest of them?
  22. 22.The length of a rectangle is 2 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  23. 23.Solve: 5n + 4 = n + 64. What is n?
  24. 24.Solve: t/6 + t/5 = 44. What is t?
  25. 25.Solve: 6(p − 1) = 2p + 10. What is p?
  26. 26.Solve: 4x + 4 = 2x + 18. What is x?
  27. 27.The sum of two consecutive whole numbers is 95. What is the largest of them?
  28. 28.The length of a rectangle is 14 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  29. 29.Solve: 6(x − 5) = 5x + 8. What is x?
  30. 30.Solve: 3(y − 1) = y + 19. What is y?
  31. 31.Solve: x/4 + x/2 = 15. What is x?
  32. 32.Solve: 3m + 4 = 2m + 13. What is m?
  33. 33.A father is 10 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  34. 34.The length of a rectangle is 6 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  35. 35.Solve: 7y + 1 = 6y + 10. What is y?
  36. 36.Solve: x/3 + x/2 = 30. What is x?
  37. 37.The sum of two consecutive whole numbers is 61. What is the largest of them?
  38. 38.The sum of three consecutive whole numbers is 132. What is the smallest of them?
  39. 39.Solve: x/6 + x/5 = 33. What is x?
  40. 40.Solve: 3(t − 1) = 2t + 11. What is t?

Answer key

  1. 5
  2. 14
  3. 21
  4. 12
  5. 11
  6. 12
  7. 13
  8. 22
  9. 13
  10. 2
  11. 9
  12. 26
  13. 4
  14. 13
  15. 17
  16. 8
  17. 18
  18. 4
  19. 59
  20. 11
  21. 25
  22. 6
  23. 15
  24. 120
  25. 4
  26. 7
  27. 48
  28. 8
  29. 38
  30. 11
  31. 20
  32. 9
  33. 8
  34. 10
  35. 9
  36. 36
  37. 31
  38. 43
  39. 90
  40. 14

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