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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 952 · 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: t/2 + t/6 = 20. What is t?
  2. 2.Solve: x/5 + x/2 = 49. What is x?
  3. 3.Solve: 8n + 15 = 2n + 75. What is n?
  4. 4.Solve: 5(t − 3) = 2t + 9. What is t?
  5. 5.Solve: 6(p − 3) = 5p + 2. What is p?
  6. 6.Solve: 4(p − 5) = 3p + 2. What is p?
  7. 7.Solve: y/3 + y/5 = 16. What is y?
  8. 8.Solve: x/2 + x/6 = 28. What is x?
  9. 9.A father is 10 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  10. 10.Solve: 3(x − 5) = 2x + 7. What is x?
  11. 11.Solve: 3(n − 3) = 2n + 3. What is n?
  12. 12.The sum of three consecutive whole numbers is 144. What is the largest of them?
  13. 13.Solve: m/2 + m/6 = 28. What is m?
  14. 14.A father is 33 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?
  15. 15.The length of a rectangle is 15 cm more than its width. Its perimeter is 146 cm. What is its width (in cm)?
  16. 16.A father is 18 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?
  17. 17.Solve: n/2 + n/5 = 42. What is n?
  18. 18.Solve: x/6 + x/5 = 11. What is x?
  19. 19.Solve: 3y + 11 = y + 15. What is y?
  20. 20.Solve: p/3 + p/5 = 32. What is p?
  21. 21.Solve: y/6 + y/4 = 40. What is y?
  22. 22.The sum of three consecutive whole numbers is 33. What is the smallest of them?
  23. 23.Solve: 7m + 8 = 3m + 68. What is m?
  24. 24.Solve: 8x + 9 = 2x + 63. What is x?
  25. 25.Solve: m/3 + m/6 = 6. What is m?
  26. 26.Solve: 6(x − 5) = 3x + 9. What is x?
  27. 27.A father is 48 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?
  28. 28.Solve: 6(m − 3) = 4m + 24. What is m?
  29. 29.The sum of two consecutive whole numbers is 31. What is the smallest of them?
  30. 30.Solve: y/6 + y/2 = 8. What is y?
  31. 31.Solve: 6t + 10 = 5t + 13. What is t?
  32. 32.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  33. 33.Solve: p/3 + p/2 = 20. What is p?
  34. 34.Solve: 8m + 9 = m + 86. What is m?
  35. 35.Solve: n/3 + n/6 = 24. What is n?
  36. 36.Solve: 4(p − 4) = 3p + 3. What is p?
  37. 37.Solve: n/5 + n/4 = 36. What is n?
  38. 38.A father is 42 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  39. 39.Solve: 7t + 2 = 3t + 30. What is t?
  40. 40.A father is 8 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 30
  2. 70
  3. 10
  4. 8
  5. 20
  6. 22
  7. 30
  8. 42
  9. 4
  10. 22
  11. 12
  12. 49
  13. 42
  14. 10
  15. 29
  16. 2
  17. 60
  18. 30
  19. 2
  20. 60
  21. 96
  22. 10
  23. 15
  24. 9
  25. 12
  26. 13
  27. 11
  28. 21
  29. 15
  30. 12
  31. 3
  32. 11
  33. 24
  34. 11
  35. 48
  36. 19
  37. 80
  38. 6
  39. 7
  40. 3

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