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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 575 · 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: 5m + 12 = m + 68. What is m?
  2. 2.The sum of two consecutive whole numbers is 31. What is the smallest of them?
  3. 3.The sum of four consecutive whole numbers is 34. What is the largest of them?
  4. 4.Solve: y/4 + y/5 = 54. What is y?
  5. 5.The sum of two consecutive whole numbers is 95. What is the smallest of them?
  6. 6.The length of a rectangle is 1 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  7. 7.A father is 24 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?
  8. 8.The sum of two consecutive whole numbers is 19. What is the largest of them?
  9. 9.Solve: p/3 + p/4 = 14. What is p?
  10. 10.The length of a rectangle is 15 cm more than its width. Its perimeter is 150 cm. What is its width (in cm)?
  11. 11.The sum of three consecutive whole numbers is 120. What is the largest of them?
  12. 12.Solve: 3y + 2 = y + 12. What is y?
  13. 13.The length of a rectangle is 5 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  14. 14.The length of a rectangle is 9 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  15. 15.Solve: y/5 + y/2 = 42. What is y?
  16. 16.Solve: 4(y − 3) = 3y + 2. What is y?
  17. 17.Solve: n/2 + n/4 = 9. What is n?
  18. 18.The length of a rectangle is 2 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  19. 19.Solve: 3(t − 1) = 2t + 7. What is t?
  20. 20.Solve: 8p + 17 = 2p + 95. What is p?
  21. 21.Solve: 4t + 8 = 2t + 26. What is t?
  22. 22.Solve: 3(t − 2) = 2t + 6. What is t?
  23. 23.Solve: p/3 + p/5 = 48. What is p?
  24. 24.Solve: 5(y − 5) = 4y + 2. What is y?
  25. 25.The length of a rectangle is 7 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  26. 26.The length of a rectangle is 13 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  27. 27.The sum of three consecutive whole numbers is 66. What is the largest of them?
  28. 28.Solve: t/3 + t/2 = 30. What is t?
  29. 29.Solve: 3(x − 3) = x + 5. What is x?
  30. 30.Solve: 5(x − 5) = 4x + 3. What is x?
  31. 31.The length of a rectangle is 13 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  32. 32.Solve: 8y + 20 = 2y + 92. What is y?
  33. 33.Solve: 3(n − 4) = 2n + 10. What is n?
  34. 34.Solve: 3(m − 1) = 2m + 4. What is m?
  35. 35.The length of a rectangle is 4 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  36. 36.Solve: 3y + 14 = y + 30. What is y?
  37. 37.Solve: 4(t − 5) = t + 4. What is t?
  38. 38.The sum of two consecutive whole numbers is 107. What is the smallest of them?
  39. 39.Solve: t/5 + t/3 = 24. What is t?
  40. 40.Solve: m/4 + m/3 = 7. What is m?

Answer key

  1. 14
  2. 15
  3. 10
  4. 120
  5. 47
  6. 16
  7. 3
  8. 10
  9. 24
  10. 30
  11. 41
  12. 5
  13. 9
  14. 9
  15. 60
  16. 14
  17. 12
  18. 24
  19. 10
  20. 13
  21. 9
  22. 12
  23. 90
  24. 27
  25. 28
  26. 5
  27. 23
  28. 36
  29. 7
  30. 28
  31. 10
  32. 12
  33. 22
  34. 7
  35. 25
  36. 8
  37. 8
  38. 53
  39. 45
  40. 12

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