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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 602 · 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.The sum of three consecutive whole numbers is 87. What is the smallest of them?
  2. 2.Solve: 3(p − 1) = p + 1. What is p?
  3. 3.The length of a rectangle is 5 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  4. 4.A father is 8 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?
  5. 5.The sum of four consecutive whole numbers is 178. What is the smallest of them?
  6. 6.A father is 42 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  7. 7.A father is 6 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  8. 8.Solve: 9n + 9 = n + 33. What is n?
  9. 9.Solve: n/4 + n/2 = 18. What is n?
  10. 10.Solve: y/4 + y/6 = 40. What is y?
  11. 11.Solve: 8n + 3 = 7n + 15. What is n?
  12. 12.The sum of four consecutive whole numbers is 198. What is the largest of them?
  13. 13.Solve: m/5 + m/6 = 11. What is m?
  14. 14.A father is 26 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?
  15. 15.Solve: 4p + 16 = p + 49. What is p?
  16. 16.The sum of two consecutive whole numbers is 79. What is the smallest of them?
  17. 17.Solve: 4n + 6 = 3n + 15. What is n?
  18. 18.Solve: x/2 + x/3 = 5. What is x?
  19. 19.Solve: 3(y − 5) = 2y + 13. What is y?
  20. 20.A father is 13 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  21. 21.Solve: 4(p − 5) = 2p + 14. What is p?
  22. 22.The sum of two consecutive whole numbers is 99. What is the smallest of them?
  23. 23.Solve: n/6 + n/3 = 24. What is n?
  24. 24.Solve: 6(n − 4) = 2n + 36. What is n?
  25. 25.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  26. 26.Solve: 5(p − 3) = p + 33. What is p?
  27. 27.Solve: x/4 + x/2 = 9. What is x?
  28. 28.Solve: x/4 + x/5 = 63. What is x?
  29. 29.Solve: y/2 + y/6 = 20. What is y?
  30. 30.Solve: n/6 + n/3 = 3. What is n?
  31. 31.Solve: m/2 + m/6 = 8. What is m?
  32. 32.Solve: 4(y − 1) = 3y + 1. What is y?
  33. 33.Solve: 6(x − 2) = x + 3. What is x?
  34. 34.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?
  35. 35.The sum of four consecutive whole numbers is 186. What is the largest of them?
  36. 36.Solve: 5x + 17 = 3x + 37. What is x?
  37. 37.Solve: y/4 + y/6 = 5. What is y?
  38. 38.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  39. 39.A father is 9 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: 8p + 5 = p + 19. What is p?

Answer key

  1. 28
  2. 2
  3. 26
  4. 2
  5. 43
  6. 12
  7. 5
  8. 3
  9. 24
  10. 96
  11. 12
  12. 51
  13. 30
  14. 12
  15. 11
  16. 39
  17. 9
  18. 6
  19. 28
  20. 11
  21. 17
  22. 49
  23. 48
  24. 15
  25. 2
  26. 12
  27. 12
  28. 140
  29. 30
  30. 6
  31. 12
  32. 5
  33. 3
  34. 4
  35. 48
  36. 10
  37. 12
  38. 9
  39. 2
  40. 2

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