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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 545 · 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 7 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  2. 2.The sum of three consecutive whole numbers is 54. What is the largest of them?
  3. 3.Solve: 4p + 20 = 3p + 30. What is p?
  4. 4.The sum of two consecutive whole numbers is 41. What is the largest of them?
  5. 5.Solve: t/6 + t/2 = 8. What is t?
  6. 6.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  7. 7.Solve: 9m + 19 = 8m + 29. What is m?
  8. 8.Solve: 4m + 6 = 3m + 16. What is m?
  9. 9.The length of a rectangle is 1 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  10. 10.Solve: 5(p − 4) = p + 36. What is p?
  11. 11.Solve: 7p + 6 = p + 24. What is p?
  12. 12.The length of a rectangle is 15 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  13. 13.The length of a rectangle is 10 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  14. 14.Solve: 5(t − 1) = 4t + 8. What is t?
  15. 15.A father is 36 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?
  16. 16.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  17. 17.The sum of two consecutive whole numbers is 75. What is the largest of them?
  18. 18.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  19. 19.Solve: 9m + 11 = 3m + 41. What is m?
  20. 20.Solve: 4x + 15 = x + 42. What is x?
  21. 21.Solve: 6t + 20 = 5t + 21. What is t?
  22. 22.The sum of four consecutive whole numbers is 246. What is the largest of them?
  23. 23.The sum of three consecutive whole numbers is 102. What is the largest of them?
  24. 24.Solve: y/6 + y/4 = 15. What is y?
  25. 25.Solve: x/3 + x/2 = 40. What is x?
  26. 26.The sum of two consecutive whole numbers is 53. What is the largest of them?
  27. 27.Solve: 3m + 1 = 2m + 5. What is m?
  28. 28.The sum of two consecutive whole numbers is 65. What is the smallest of them?
  29. 29.The length of a rectangle is 5 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  30. 30.Solve: p/3 + p/5 = 24. What is p?
  31. 31.Solve: m/4 + m/5 = 54. What is m?
  32. 32.Solve: 6m + 15 = 4m + 27. What is m?
  33. 33.The sum of two consecutive whole numbers is 45. What is the largest of them?
  34. 34.A father is 24 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?
  35. 35.A father is 33 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  36. 36.Solve: 5(m − 1) = 4m + 3. What is m?
  37. 37.Solve: y/2 + y/5 = 28. What is y?
  38. 38.Solve: 4n + 13 = 3n + 26. What is n?
  39. 39.Solve: x/3 + x/5 = 40. What is x?
  40. 40.The length of a rectangle is 8 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?

Answer key

  1. 2
  2. 19
  3. 10
  4. 21
  5. 12
  6. 12
  7. 10
  8. 10
  9. 3
  10. 14
  11. 3
  12. 3
  13. 7
  14. 13
  15. 4
  16. 16
  17. 38
  18. 6
  19. 5
  20. 9
  21. 1
  22. 63
  23. 35
  24. 36
  25. 48
  26. 27
  27. 4
  28. 32
  29. 13
  30. 45
  31. 120
  32. 6
  33. 23
  34. 3
  35. 5
  36. 8
  37. 40
  38. 13
  39. 75
  40. 28

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