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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 552 · 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: 4n + 13 = n + 37. What is n?
  2. 2.The length of a rectangle is 11 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  3. 3.The length of a rectangle is 12 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  4. 4.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
  5. 5.The length of a rectangle is 11 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  6. 6.Solve: p/5 + p/6 = 33. What is p?
  7. 7.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  8. 8.Solve: 4(t − 4) = t + 8. What is t?
  9. 9.Solve: 3(n − 5) = n + 5. What is n?
  10. 10.Solve: 6x + 16 = x + 66. What is x?
  11. 11.The sum of two consecutive whole numbers is 21. What is the smallest of them?
  12. 12.Solve: 6p + 4 = p + 69. What is p?
  13. 13.The sum of two consecutive whole numbers is 107. What is the smallest of them?
  14. 14.Solve: n/5 + n/2 = 42. What is n?
  15. 15.Solve: 9y + 15 = 7y + 25. What is y?
  16. 16.Solve: x/2 + x/3 = 40. What is x?
  17. 17.The length of a rectangle is 5 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  18. 18.Solve: n/5 + n/4 = 63. What is n?
  19. 19.Solve: 8y + 11 = 7y + 25. What is y?
  20. 20.Solve: 5x + 16 = 4x + 30. What is x?
  21. 21.Solve: 4(t − 2) = 2t + 14. What is t?
  22. 22.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  23. 23.The length of a rectangle is 12 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  24. 24.Solve: 3(y − 1) = y + 3. What is y?
  25. 25.A father is 28 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?
  26. 26.A father is 9 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  27. 27.Solve: 3(y − 3) = y + 15. What is y?
  28. 28.Solve: 3x + 4 = x + 10. What is x?
  29. 29.Solve: 3t + 18 = 2t + 30. What is t?
  30. 30.Solve: 3p + 16 = p + 44. What is p?
  31. 31.Solve: 4p + 20 = 2p + 28. What is p?
  32. 32.Solve: 4(n − 5) = 2n + 4. What is n?
  33. 33.The length of a rectangle is 2 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  34. 34.Solve: 4m + 16 = m + 37. What is m?
  35. 35.Solve: x/6 + x/5 = 55. What is x?
  36. 36.Solve: 8p + 17 = 6p + 37. What is p?
  37. 37.A father is 38 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?
  38. 38.Solve: 5m + 4 = 2m + 34. What is m?
  39. 39.A father is 24 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?
  40. 40.Solve: 4(p − 2) = 2p + 12. What is p?

Answer key

  1. 8
  2. 26
  3. 18
  4. 2
  5. 15
  6. 90
  7. 3
  8. 8
  9. 10
  10. 10
  11. 10
  12. 13
  13. 53
  14. 60
  15. 5
  16. 48
  17. 30
  18. 140
  19. 14
  20. 14
  21. 11
  22. 4
  23. 12
  24. 3
  25. 7
  26. 2
  27. 12
  28. 3
  29. 12
  30. 14
  31. 4
  32. 12
  33. 28
  34. 7
  35. 150
  36. 10
  37. 12
  38. 10
  39. 7
  40. 10

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