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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 448 · 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: 4(y − 3) = y + 6. What is y?
  2. 2.Solve: y/6 + y/5 = 55. What is y?
  3. 3.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  4. 4.Solve: 5p + 1 = p + 37. What is p?
  5. 5.Solve: 4p + 12 = 2p + 38. What is p?
  6. 6.Solve: 3n + 10 = 2n + 22. What is n?
  7. 7.Solve: x/5 + x/2 = 14. What is x?
  8. 8.Solve: 9p + 1 = 5p + 41. What is p?
  9. 9.Solve: 9x + 5 = 2x + 110. What is x?
  10. 10.Solve: t/4 + t/5 = 45. What is t?
  11. 11.Solve: 3(t − 5) = t + 3. What is t?
  12. 12.The length of a rectangle is 8 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  13. 13.Solve: y/4 + y/5 = 9. What is y?
  14. 14.The length of a rectangle is 13 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  15. 15.Solve: 4p + 20 = 3p + 27. What is p?
  16. 16.Solve: m/2 + m/6 = 24. What is m?
  17. 17.Solve: 6(m − 1) = 4m + 10. What is m?
  18. 18.Solve: p/3 + p/5 = 40. What is p?
  19. 19.The length of a rectangle is 9 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  20. 20.Solve: 5p + 13 = p + 49. What is p?
  21. 21.Solve: 4y + 20 = y + 62. What is y?
  22. 22.Solve: 9x + 7 = 3x + 31. What is x?
  23. 23.Solve: 5(t − 3) = 3t + 1. What is t?
  24. 24.Solve: 8m + 1 = 5m + 10. What is m?
  25. 25.Solve: 7p + 15 = p + 105. What is p?
  26. 26.Solve: m/5 + m/3 = 16. What is m?
  27. 27.Solve: 8y + 15 = 7y + 23. What is y?
  28. 28.Solve: y/3 + y/6 = 12. What is y?
  29. 29.Solve: m/5 + m/2 = 42. What is m?
  30. 30.A father is 51 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  31. 31.Solve: 6(p − 2) = p + 23. What is p?
  32. 32.The length of a rectangle is 10 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  33. 33.Solve: 6(p − 2) = 4p + 24. What is p?
  34. 34.Solve: p/4 + p/5 = 45. What is p?
  35. 35.The length of a rectangle is 5 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  36. 36.Solve: 3(p − 3) = 2p + 9. What is p?
  37. 37.A father is 18 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  38. 38.Solve: y/5 + y/3 = 40. What is y?
  39. 39.The length of a rectangle is 6 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  40. 40.Solve: 5m + 6 = m + 10. What is m?

Answer key

  1. 6
  2. 150
  3. 4
  4. 9
  5. 13
  6. 12
  7. 20
  8. 10
  9. 15
  10. 100
  11. 9
  12. 26
  13. 20
  14. 27
  15. 7
  16. 36
  17. 8
  18. 75
  19. 15
  20. 9
  21. 14
  22. 4
  23. 8
  24. 3
  25. 15
  26. 30
  27. 8
  28. 24
  29. 60
  30. 11
  31. 7
  32. 27
  33. 18
  34. 100
  35. 3
  36. 18
  37. 10
  38. 75
  39. 19
  40. 1

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