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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 123 · 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: 5(p − 4) = 3p + 14. What is p?
  2. 2.Solve: 3(n − 3) = n + 1. What is n?
  3. 3.Solve: 3x + 15 = x + 45. What is x?
  4. 4.Solve: 3(p − 3) = p + 7. What is p?
  5. 5.Solve: n/4 + n/5 = 27. What is n?
  6. 6.Solve: 3(x − 1) = x + 1. What is x?
  7. 7.The length of a rectangle is 10 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  8. 8.Solve: 4n + 17 = n + 50. What is n?
  9. 9.Solve: m/6 + m/3 = 18. What is m?
  10. 10.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  11. 11.Solve: 3(p − 3) = p + 5. What is p?
  12. 12.Solve: 4(t − 4) = t + 17. What is t?
  13. 13.Solve: 5m + 15 = 3m + 31. What is m?
  14. 14.Solve: x/4 + x/3 = 35. What is x?
  15. 15.Solve: 9x + 7 = 5x + 67. What is x?
  16. 16.A father is 13 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  17. 17.Solve: 3x + 1 = x + 7. What is x?
  18. 18.The length of a rectangle is 10 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  19. 19.Solve: 8n + 6 = 3n + 56. What is n?
  20. 20.Solve: 5(y − 4) = 3y + 18. What is y?
  21. 21.Solve: y/6 + y/2 = 32. What is y?
  22. 22.Solve: n/3 + n/5 = 16. What is n?
  23. 23.The sum of two consecutive whole numbers is 49. What is the smallest of them?
  24. 24.The length of a rectangle is 7 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  25. 25.The length of a rectangle is 1 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  26. 26.The sum of three consecutive whole numbers is 132. What is the largest of them?
  27. 27.Solve: 9p + 11 = 2p + 116. What is p?
  28. 28.A father is 12 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?
  29. 29.A father is 11 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  30. 30.The length of a rectangle is 10 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  31. 31.The sum of three consecutive whole numbers is 63. What is the smallest of them?
  32. 32.Solve: 4(n − 4) = 2n + 16. What is n?
  33. 33.The length of a rectangle is 7 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  34. 34.Solve: 5(y − 4) = 3y + 10. What is y?
  35. 35.Solve: 4(p − 4) = 3p + 13. What is p?
  36. 36.Solve: p/2 + p/5 = 56. What is p?
  37. 37.Solve: m/6 + m/5 = 66. What is m?
  38. 38.Solve: y/4 + y/5 = 18. What is y?
  39. 39.The sum of two consecutive whole numbers is 121. What is the largest of them?
  40. 40.Solve: 7y + 5 = 6y + 8. What is y?

Answer key

  1. 17
  2. 5
  3. 15
  4. 8
  5. 60
  6. 2
  7. 26
  8. 11
  9. 36
  10. 9
  11. 7
  12. 11
  13. 8
  14. 60
  15. 15
  16. 10
  17. 3
  18. 8
  19. 10
  20. 19
  21. 48
  22. 30
  23. 24
  24. 6
  25. 24
  26. 45
  27. 15
  28. 3
  29. 6
  30. 16
  31. 20
  32. 16
  33. 5
  34. 15
  35. 29
  36. 80
  37. 180
  38. 40
  39. 61
  40. 3

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