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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 890 · 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: 8p + 4 = 7p + 16. What is p?
  2. 2.The length of a rectangle is 13 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  3. 3.Solve: 9t + 5 = 4t + 10. What is t?
  4. 4.Solve: 6(n − 3) = 4n + 14. What is n?
  5. 5.Solve: n/2 + n/6 = 8. What is n?
  6. 6.Solve: m/3 + m/6 = 9. What is m?
  7. 7.Solve: 7x + 1 = x + 79. What is x?
  8. 8.Solve: 3(p − 3) = p + 9. What is p?
  9. 9.The sum of four consecutive whole numbers is 62. What is the smallest of them?
  10. 10.The length of a rectangle is 11 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  11. 11.Solve: 6(t − 1) = 3t + 15. What is t?
  12. 12.Solve: 4(t − 1) = 3t + 13. What is t?
  13. 13.A father is 12 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  14. 14.Solve: 4(x − 5) = 2x + 24. What is x?
  15. 15.Solve: 3p + 2 = 2p + 13. What is p?
  16. 16.A father is 12 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  17. 17.Solve: 7m + 16 = 6m + 27. What is m?
  18. 18.Solve: p/5 + p/4 = 72. What is p?
  19. 19.The sum of three consecutive whole numbers is 72. What is the largest of them?
  20. 20.Solve: 4(t − 4) = 2t + 22. What is t?
  21. 21.Solve: 6(y − 5) = 5y + 11. What is y?
  22. 22.A father is 13 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  23. 23.Solve: m/2 + m/3 = 20. What is m?
  24. 24.Solve: p/5 + p/2 = 14. What is p?
  25. 25.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  26. 26.Solve: 9m + 8 = 7m + 20. What is m?
  27. 27.Solve: x/5 + x/3 = 56. What is x?
  28. 28.Solve: p/4 + p/5 = 54. What is p?
  29. 29.Solve: 3(x − 2) = x + 12. What is x?
  30. 30.A father is 12 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?
  31. 31.Solve: 5(n − 3) = 2n + 30. What is n?
  32. 32.The length of a rectangle is 12 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  33. 33.Solve: 5x + 11 = 4x + 16. What is x?
  34. 34.Solve: 5(t − 1) = t + 39. What is t?
  35. 35.Solve: 3(t − 2) = t + 22. What is t?
  36. 36.Solve: 5(n − 5) = 3n + 25. What is n?
  37. 37.Solve: 4(n − 1) = n + 2. What is n?
  38. 38.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  39. 39.Solve: 6(x − 3) = 5x + 10. What is x?
  40. 40.A father is 24 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?

Answer key

  1. 12
  2. 27
  3. 1
  4. 16
  5. 12
  6. 18
  7. 13
  8. 9
  9. 14
  10. 23
  11. 7
  12. 17
  13. 8
  14. 22
  15. 11
  16. 11
  17. 11
  18. 160
  19. 25
  20. 19
  21. 41
  22. 7
  23. 24
  24. 20
  25. 2
  26. 6
  27. 105
  28. 120
  29. 9
  30. 2
  31. 15
  32. 14
  33. 5
  34. 11
  35. 14
  36. 25
  37. 2
  38. 3
  39. 28
  40. 5

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