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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 585 · 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 9 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  2. 2.Solve: 5(n − 2) = 4n + 12. What is n?
  3. 3.Solve: m/6 + m/4 = 30. What is m?
  4. 4.The sum of three consecutive whole numbers is 138. What is the largest of them?
  5. 5.Solve: 4(n − 2) = n + 13. What is n?
  6. 6.The length of a rectangle is 15 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  7. 7.Solve: m/5 + m/4 = 36. What is m?
  8. 8.The sum of three consecutive whole numbers is 114. What is the largest of them?
  9. 9.The sum of two consecutive whole numbers is 41. What is the smallest of them?
  10. 10.Solve: t/2 + t/5 = 14. What is t?
  11. 11.The sum of four consecutive whole numbers is 26. What is the smallest of them?
  12. 12.The sum of three consecutive whole numbers is 159. What is the largest of them?
  13. 13.Solve: 9y + 14 = 8y + 22. What is y?
  14. 14.The sum of three consecutive whole numbers is 144. What is the smallest of them?
  15. 15.Solve: 8t + 3 = 6t + 13. What is t?
  16. 16.Solve: 7n + 12 = 3n + 56. What is n?
  17. 17.Solve: 8x + 19 = x + 117. What is x?
  18. 18.The sum of two consecutive whole numbers is 111. What is the smallest of them?
  19. 19.A father is 17 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  20. 20.Solve: n/4 + n/2 = 18. What is n?
  21. 21.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  22. 22.The sum of four consecutive whole numbers is 206. What is the smallest of them?
  23. 23.The sum of three consecutive whole numbers is 21. What is the smallest of them?
  24. 24.The sum of four consecutive whole numbers is 206. What is the largest of them?
  25. 25.Solve: 4p + 7 = p + 13. What is p?
  26. 26.Solve: 3(m − 3) = m + 17. What is m?
  27. 27.Solve: 9p + 9 = p + 41. What is p?
  28. 28.Solve: m/4 + m/2 = 24. What is m?
  29. 29.Solve: 4x + 2 = 3x + 8. What is x?
  30. 30.Solve: y/3 + y/5 = 40. What is y?
  31. 31.The sum of four consecutive whole numbers is 58. What is the largest of them?
  32. 32.The length of a rectangle is 1 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  33. 33.The sum of three consecutive whole numbers is 51. What is the smallest of them?
  34. 34.The length of a rectangle is 1 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
  35. 35.Solve: y/6 + y/4 = 10. What is y?
  36. 36.Solve: 4m + 5 = 2m + 7. What is m?
  37. 37.Solve: 3m + 1 = 2m + 7. What is m?
  38. 38.Solve: 3(p − 2) = p + 24. What is p?
  39. 39.A father is 32 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  40. 40.A father is 15 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 27
  2. 22
  3. 72
  4. 47
  5. 7
  6. 5
  7. 80
  8. 39
  9. 20
  10. 20
  11. 5
  12. 54
  13. 8
  14. 47
  15. 5
  16. 11
  17. 14
  18. 55
  19. 11
  20. 24
  21. 2
  22. 50
  23. 6
  24. 53
  25. 2
  26. 13
  27. 4
  28. 32
  29. 6
  30. 75
  31. 16
  32. 18
  33. 16
  34. 4
  35. 24
  36. 1
  37. 6
  38. 15
  39. 11
  40. 10

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