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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 227 · 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: 5(x − 2) = 3x + 12. What is x?
  2. 2.The sum of two consecutive whole numbers is 21. What is the smallest of them?
  3. 3.Solve: 8x + 16 = 3x + 46. What is x?
  4. 4.Solve: 7m + 4 = 3m + 20. What is m?
  5. 5.Solve: 3y + 13 = y + 19. What is y?
  6. 6.Solve: 5(p − 4) = p + 52. What is p?
  7. 7.The sum of three consecutive whole numbers is 27. What is the largest of them?
  8. 8.Solve: 3(p − 2) = 2p + 1. What is p?
  9. 9.Solve: 3(y − 4) = y + 4. What is y?
  10. 10.The sum of four consecutive whole numbers is 134. What is the smallest of them?
  11. 11.Solve: t/4 + t/6 = 40. What is t?
  12. 12.Solve: 3y + 1 = y + 29. What is y?
  13. 13.The sum of two consecutive whole numbers is 31. What is the smallest of them?
  14. 14.The length of a rectangle is 13 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
  15. 15.Solve: 9y + 11 = 4y + 76. What is y?
  16. 16.The sum of two consecutive whole numbers is 13. What is the smallest of them?
  17. 17.A father is 18 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?
  18. 18.Solve: 3(n − 1) = n + 21. What is n?
  19. 19.The length of a rectangle is 9 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  20. 20.The length of a rectangle is 5 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  21. 21.The length of a rectangle is 11 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  22. 22.Solve: 9t + 4 = 5t + 12. What is t?
  23. 23.The sum of four consecutive whole numbers is 182. What is the largest of them?
  24. 24.The length of a rectangle is 9 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  25. 25.The sum of three consecutive whole numbers is 18. What is the largest of them?
  26. 26.Solve: 3(n − 2) = n + 26. What is n?
  27. 27.Solve: 5y + 17 = 2y + 59. What is y?
  28. 28.Solve: 6(x − 3) = x + 12. What is x?
  29. 29.Solve: 6(m − 4) = 5m + 8. What is m?
  30. 30.A father is 24 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?
  31. 31.The sum of three consecutive whole numbers is 153. What is the largest of them?
  32. 32.The sum of four consecutive whole numbers is 242. What is the smallest of them?
  33. 33.Solve: 3m + 12 = 2m + 26. What is m?
  34. 34.Solve: 8x + 20 = 2x + 32. What is x?
  35. 35.The sum of two consecutive whole numbers is 61. What is the largest of them?
  36. 36.The length of a rectangle is 14 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  37. 37.Solve: 5m + 16 = 2m + 28. What is m?
  38. 38.Solve: t/5 + t/4 = 36. What is t?
  39. 39.Solve: 4(y − 2) = 2y + 22. What is y?
  40. 40.Solve: t/2 + t/3 = 5. What is t?

Answer key

  1. 11
  2. 10
  3. 6
  4. 4
  5. 3
  6. 18
  7. 10
  8. 7
  9. 8
  10. 32
  11. 96
  12. 14
  13. 15
  14. 29
  15. 13
  16. 6
  17. 5
  18. 12
  19. 9
  20. 10
  21. 8
  22. 2
  23. 47
  24. 5
  25. 7
  26. 16
  27. 14
  28. 6
  29. 32
  30. 4
  31. 52
  32. 59
  33. 14
  34. 2
  35. 31
  36. 15
  37. 4
  38. 80
  39. 15
  40. 6

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