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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 245 · 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 10 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  2. 2.A father is 18 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?
  3. 3.Solve: 6(x − 2) = 3x + 39. What is x?
  4. 4.The length of a rectangle is 3 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  5. 5.The sum of four consecutive whole numbers is 26. What is the largest of them?
  6. 6.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  7. 7.Solve: m/5 + m/3 = 32. What is m?
  8. 8.Solve: 5(p − 5) = 2p + 5. What is p?
  9. 9.Solve: 5(y − 2) = y + 22. What is y?
  10. 10.The sum of four consecutive whole numbers is 70. What is the largest of them?
  11. 11.Solve: 5t + 3 = 2t + 21. What is t?
  12. 12.Solve: n/3 + n/2 = 30. What is n?
  13. 13.The length of a rectangle is 1 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  14. 14.Solve: 6x + 9 = 3x + 45. What is x?
  15. 15.Solve: 3(y − 3) = y + 21. What is y?
  16. 16.The length of a rectangle is 9 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  17. 17.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  18. 18.Solve: 8m + 12 = 2m + 84. What is m?
  19. 19.Solve: 9t + 11 = 8t + 22. What is t?
  20. 20.Solve: 6x + 8 = 4x + 16. What is x?
  21. 21.Solve: 3(y − 2) = 2y + 9. What is y?
  22. 22.A father is 12 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  23. 23.Solve: t/2 + t/6 = 12. What is t?
  24. 24.The sum of three consecutive whole numbers is 33. What is the largest of them?
  25. 25.Solve: 5x + 19 = 4x + 23. What is x?
  26. 26.A father is 42 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?
  27. 27.Solve: 8p + 19 = 2p + 55. What is p?
  28. 28.Solve: 9n + 16 = 7n + 24. What is n?
  29. 29.Solve: 8x + 3 = 3x + 18. What is x?
  30. 30.The length of a rectangle is 10 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  31. 31.The length of a rectangle is 2 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  32. 32.Solve: 4x + 2 = 2x + 26. What is x?
  33. 33.The length of a rectangle is 7 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  34. 34.The sum of two consecutive whole numbers is 33. What is the smallest of them?
  35. 35.Solve: 3(t − 1) = t + 13. What is t?
  36. 36.Solve: 3(t − 1) = 2t + 9. What is t?
  37. 37.The sum of four consecutive whole numbers is 150. What is the smallest of them?
  38. 38.Solve: 5x + 3 = 3x + 29. What is x?
  39. 39.The sum of two consecutive whole numbers is 47. What is the smallest of them?
  40. 40.Solve: 3(m − 2) = 2m + 3. What is m?

Answer key

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

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