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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 25 · 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: y/3 + y/6 = 21. What is y?
  2. 2.Solve: m/3 + m/6 = 9. What is m?
  3. 3.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  4. 4.Solve: 6n + 20 = 4n + 22. What is n?
  5. 5.Solve: y/2 + y/5 = 21. What is y?
  6. 6.Solve: 4(x − 1) = x + 32. What is x?
  7. 7.Solve: 4(n − 2) = 3n + 11. What is n?
  8. 8.Solve: 6t + 15 = t + 90. What is t?
  9. 9.The sum of three consecutive whole numbers is 57. What is the smallest of them?
  10. 10.A father is 51 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  11. 11.Solve: m/2 + m/3 = 40. What is m?
  12. 12.Solve: 7t + 8 = 4t + 23. What is t?
  13. 13.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  14. 14.A father is 8 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: 3(y − 4) = 2y + 7. What is y?
  16. 16.A father is 14 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?
  17. 17.Solve: 7t + 2 = 6t + 9. What is t?
  18. 18.The length of a rectangle is 10 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  19. 19.Solve: 3x + 17 = 2x + 22. What is x?
  20. 20.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?
  21. 21.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?
  22. 22.Solve: 3(y − 4) = y + 6. What is y?
  23. 23.A father is 11 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  24. 24.A father is 9 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  25. 25.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  26. 26.Solve: 4(x − 5) = 3x + 6. What is x?
  27. 27.Solve: 7y + 16 = 6y + 17. What is y?
  28. 28.The sum of two consecutive whole numbers is 67. What is the largest of them?
  29. 29.Solve: 8m + 11 = 5m + 47. What is m?
  30. 30.A father is 16 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?
  31. 31.The length of a rectangle is 13 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  33. 33.The length of a rectangle is 15 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  34. 34.Solve: 5(m − 5) = 2m + 35. What is m?
  35. 35.The sum of two consecutive whole numbers is 87. What is the smallest of them?
  36. 36.A father is 21 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?
  37. 37.Solve: 3(n − 3) = 2n + 3. What is n?
  38. 38.Solve: 4(p − 5) = 3p + 7. What is p?
  39. 39.Solve: m/4 + m/3 = 42. What is m?
  40. 40.A father is 39 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?

Answer key

  1. 42
  2. 18
  3. 11
  4. 1
  5. 30
  6. 12
  7. 19
  8. 15
  9. 18
  10. 10
  11. 48
  12. 5
  13. 6
  14. 3
  15. 19
  16. 5
  17. 7
  18. 8
  19. 5
  20. 2
  21. 12
  22. 9
  23. 9
  24. 2
  25. 12
  26. 26
  27. 1
  28. 34
  29. 12
  30. 6
  31. 19
  32. 7
  33. 7
  34. 20
  35. 43
  36. 4
  37. 12
  38. 27
  39. 72
  40. 9

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