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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 295 · 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.A father is 21 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?
  2. 2.Solve: y/5 + y/2 = 14. What is y?
  3. 3.Solve: 4p + 2 = 2p + 26. What is p?
  4. 4.The length of a rectangle is 15 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  5. 5.Solve: 7m + 15 = 3m + 71. What is m?
  6. 6.The length of a rectangle is 9 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  7. 7.Solve: 6(t − 5) = 2t + 50. What is t?
  8. 8.Solve: x/4 + x/2 = 12. What is x?
  9. 9.Solve: 4(t − 2) = 2t + 18. What is t?
  10. 10.Solve: 4(y − 4) = y + 14. What is y?
  11. 11.Solve: y/3 + y/4 = 56. What is y?
  12. 12.Solve: 4y + 11 = 3y + 19. What is y?
  13. 13.Solve: n/4 + n/5 = 18. What is n?
  14. 14.Solve: t/2 + t/3 = 10. What is t?
  15. 15.Solve: m/5 + m/4 = 72. What is m?
  16. 16.A father is 18 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  17. 17.A father is 10 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  18. 18.Solve: 5x + 12 = 4x + 14. What is x?
  19. 19.The sum of four consecutive whole numbers is 246. What is the largest of them?
  20. 20.Solve: p/6 + p/2 = 16. What is p?
  21. 21.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  22. 22.Solve: 3(p − 5) = 2p + 2. What is p?
  23. 23.Solve: m/5 + m/3 = 8. What is m?
  24. 24.Solve: 6(x − 1) = 3x + 21. What is x?
  25. 25.Solve: 6t + 9 = 5t + 23. What is t?
  26. 26.Solve: x/3 + x/5 = 56. What is x?
  27. 27.The length of a rectangle is 13 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  28. 28.A father is 26 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  29. 29.The length of a rectangle is 3 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  30. 30.Solve: 4(t − 4) = 3t + 10. What is t?
  31. 31.Solve: 6x + 11 = 5x + 26. What is x?
  32. 32.The sum of three consecutive whole numbers is 162. What is the smallest of them?
  33. 33.Solve: x/5 + x/3 = 24. What is x?
  34. 34.A father is 20 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  35. 35.Solve: 7t + 2 = 3t + 14. What is t?
  36. 36.Solve: 9p + 9 = 2p + 44. What is p?
  37. 37.Solve: 8n + 18 = n + 95. What is n?
  38. 38.A father is 12 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  39. 39.The length of a rectangle is 7 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  40. 40.A father is 10 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 5
  2. 20
  3. 12
  4. 13
  5. 14
  6. 7
  7. 20
  8. 16
  9. 13
  10. 10
  11. 96
  12. 8
  13. 40
  14. 12
  15. 160
  16. 6
  17. 5
  18. 2
  19. 63
  20. 24
  21. 2
  22. 17
  23. 15
  24. 9
  25. 14
  26. 105
  27. 28
  28. 7
  29. 20
  30. 26
  31. 15
  32. 53
  33. 45
  34. 12
  35. 3
  36. 5
  37. 11
  38. 6
  39. 21
  40. 6

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