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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 668 · 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(n − 5) = 2n + 38. What is n?
  2. 2.A father is 20 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?
  3. 3.Solve: p/3 + p/4 = 42. What is p?
  4. 4.Solve: y/5 + y/2 = 28. What is y?
  5. 5.The length of a rectangle is 5 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  6. 6.The length of a rectangle is 1 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  7. 7.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  8. 8.Solve: p/6 + p/5 = 22. What is p?
  9. 9.Solve: 4(m − 1) = 3m + 8. What is m?
  10. 10.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  11. 11.The length of a rectangle is 12 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  12. 12.The length of a rectangle is 9 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  13. 13.The length of a rectangle is 8 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  14. 14.Solve: 7x + 4 = 5x + 34. What is x?
  15. 15.Solve: t/3 + t/2 = 30. What is t?
  16. 16.Solve: p/2 + p/3 = 5. What is p?
  17. 17.Solve: p/5 + p/3 = 16. What is p?
  18. 18.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  19. 19.Solve: m/5 + m/4 = 36. What is m?
  20. 20.Solve: y/5 + y/4 = 54. What is y?
  21. 21.The sum of three consecutive whole numbers is 21. What is the largest of them?
  22. 22.Solve: 8p + 9 = 4p + 57. What is p?
  23. 23.Solve: 5(t − 5) = 2t + 38. What is t?
  24. 24.Solve: 3(t − 2) = 2t + 6. What is t?
  25. 25.The sum of two consecutive whole numbers is 91. What is the smallest of them?
  26. 26.A father is 20 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  27. 27.The length of a rectangle is 12 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  28. 28.A father is 7 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  29. 29.Solve: p/5 + p/6 = 33. What is p?
  30. 30.Solve: 5x + 4 = 4x + 18. What is x?
  31. 31.Solve: 4(t − 3) = t + 27. What is t?
  32. 32.Solve: 5(n − 1) = 2n + 13. What is n?
  33. 33.The length of a rectangle is 14 cm more than its width. Its perimeter is 144 cm. What is its width (in cm)?
  34. 34.The length of a rectangle is 4 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  35. 35.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  36. 36.Solve: 6(n − 5) = 2n + 30. What is n?
  37. 37.Solve: 3(m − 3) = 2m + 12. What is m?
  38. 38.A father is 7 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  39. 39.Solve: 5(n − 2) = 4n + 10. What is n?
  40. 40.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 21
  2. 8
  3. 72
  4. 40
  5. 8
  6. 15
  7. 6
  8. 60
  9. 12
  10. 2
  11. 9
  12. 5
  13. 3
  14. 15
  15. 36
  16. 6
  17. 30
  18. 12
  19. 80
  20. 120
  21. 8
  22. 12
  23. 21
  24. 12
  25. 45
  26. 6
  27. 5
  28. 3
  29. 90
  30. 14
  31. 13
  32. 6
  33. 29
  34. 12
  35. 5
  36. 15
  37. 21
  38. 6
  39. 20
  40. 4

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