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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 519 · 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: 6(t − 1) = t + 9. What is t?
  2. 2.Solve: t/2 + t/3 = 5. What is t?
  3. 3.Solve: 8y + 11 = y + 109. What is y?
  4. 4.The sum of two consecutive whole numbers is 15. What is the smallest of them?
  5. 5.The length of a rectangle is 4 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  6. 6.Solve: 5t + 1 = 3t + 23. What is t?
  7. 7.Solve: 5(m − 2) = 4m + 7. What is m?
  8. 8.The length of a rectangle is 15 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  9. 9.Solve: 4(y − 2) = 2y + 20. What is y?
  10. 10.The length of a rectangle is 1 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  11. 11.Solve: 3n + 20 = 2n + 32. What is n?
  12. 12.Solve: 3(m − 4) = m + 12. What is m?
  13. 13.Solve: y/3 + y/6 = 3. What is y?
  14. 14.Solve: 4n + 3 = 2n + 7. What is n?
  15. 15.Solve: 3(y − 1) = 2y + 3. What is y?
  16. 16.Solve: 5x + 8 = 2x + 26. What is x?
  17. 17.The sum of two consecutive whole numbers is 81. What is the largest of them?
  18. 18.Solve: 3m + 6 = 2m + 7. What is m?
  19. 19.A father is 15 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  20. 20.The sum of two consecutive whole numbers is 11. What is the smallest of them?
  21. 21.The length of a rectangle is 8 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  22. 22.Solve: 8m + 20 = 5m + 26. What is m?
  23. 23.Solve: m/3 + m/5 = 40. What is m?
  24. 24.The sum of three consecutive whole numbers is 123. What is the smallest of them?
  25. 25.The length of a rectangle is 2 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  26. 26.Solve: t/2 + t/4 = 3. What is t?
  27. 27.Solve: 7m + 17 = m + 83. What is m?
  28. 28.Solve: 3(y − 2) = y + 10. What is y?
  29. 29.Solve: 3(m − 2) = m + 6. What is m?
  30. 30.Solve: n/5 + n/2 = 7. What is n?
  31. 31.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  32. 32.Solve: t/5 + t/2 = 35. What is t?
  33. 33.Solve: 9t + 4 = 7t + 30. What is t?
  34. 34.The length of a rectangle is 6 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  35. 35.Solve: 7n + 5 = 4n + 14. What is n?
  36. 36.Solve: 5m + 1 = 2m + 28. What is m?
  37. 37.A father is 10 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  38. 38.Solve: 4(m − 3) = 3m + 8. What is m?
  39. 39.Solve: x/4 + x/6 = 40. What is x?
  40. 40.The sum of two consecutive whole numbers is 75. What is the smallest of them?

Answer key

  1. 3
  2. 6
  3. 14
  4. 7
  5. 9
  6. 11
  7. 17
  8. 13
  9. 14
  10. 19
  11. 12
  12. 12
  13. 6
  14. 2
  15. 6
  16. 6
  17. 41
  18. 1
  19. 7
  20. 5
  21. 15
  22. 2
  23. 75
  24. 40
  25. 23
  26. 4
  27. 11
  28. 8
  29. 6
  30. 10
  31. 9
  32. 50
  33. 13
  34. 9
  35. 3
  36. 9
  37. 3
  38. 20
  39. 96
  40. 37

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