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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 357 · 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 13 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  2. 2.Solve: 9y + 10 = 2y + 45. What is y?
  3. 3.Solve: x/5 + x/6 = 33. What is x?
  4. 4.The length of a rectangle is 11 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  5. 5.The length of a rectangle is 1 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  6. 6.Solve: y/4 + y/3 = 49. What is y?
  7. 7.The sum of four consecutive whole numbers is 182. What is the smallest of them?
  8. 8.Solve: 8n + 4 = 4n + 60. What is n?
  9. 9.The sum of four consecutive whole numbers is 234. What is the smallest of them?
  10. 10.The length of a rectangle is 12 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  11. 11.The sum of two consecutive whole numbers is 99. What is the largest of them?
  12. 12.The length of a rectangle is 10 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  13. 13.Solve: m/3 + m/6 = 18. What is m?
  14. 14.The sum of two consecutive whole numbers is 13. What is the largest of them?
  15. 15.Solve: p/6 + p/2 = 12. What is p?
  16. 16.Solve: n/4 + n/5 = 18. What is n?
  17. 17.Solve: 6y + 10 = 5y + 23. What is y?
  18. 18.Solve: 6(p − 5) = 5p + 9. What is p?
  19. 19.Solve: y/4 + y/6 = 30. What is y?
  20. 20.The length of a rectangle is 5 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  21. 21.The length of a rectangle is 7 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  22. 22.The length of a rectangle is 12 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  23. 23.A father is 16 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?
  24. 24.The sum of three consecutive whole numbers is 165. What is the largest of them?
  25. 25.Solve: y/4 + y/5 = 45. What is y?
  26. 26.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  27. 27.A father is 24 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  28. 28.The sum of three consecutive whole numbers is 45. What is the smallest of them?
  29. 29.Solve: 7t + 7 = t + 79. What is t?
  30. 30.Solve: 6(y − 4) = 5y + 13. What is y?
  31. 31.The sum of four consecutive whole numbers is 122. What is the largest of them?
  32. 32.Solve: 4(x − 2) = 2x + 12. What is x?
  33. 33.Solve: y/5 + y/3 = 64. What is y?
  34. 34.Solve: 6(m − 5) = 5m + 13. What is m?
  35. 35.The sum of three consecutive whole numbers is 138. What is the largest of them?
  36. 36.Solve: p/5 + p/6 = 33. What is p?
  37. 37.Solve: t/4 + t/5 = 63. What is t?
  38. 38.The sum of three consecutive whole numbers is 111. What is the largest of them?
  39. 39.Solve: y/2 + y/4 = 6. What is y?
  40. 40.Solve: 3(p − 4) = 2p + 12. What is p?

Answer key

  1. 26
  2. 5
  3. 90
  4. 28
  5. 18
  6. 84
  7. 44
  8. 14
  9. 57
  10. 11
  11. 50
  12. 7
  13. 36
  14. 7
  15. 18
  16. 40
  17. 13
  18. 39
  19. 72
  20. 21
  21. 9
  22. 7
  23. 5
  24. 56
  25. 100
  26. 7
  27. 5
  28. 14
  29. 12
  30. 37
  31. 32
  32. 10
  33. 120
  34. 43
  35. 47
  36. 90
  37. 140
  38. 38
  39. 8
  40. 24

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