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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 171 · 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/4 + y/5 = 72. What is y?
  2. 2.A father is 10 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  3. 3.Solve: p/6 + p/4 = 35. What is p?
  4. 4.The sum of two consecutive whole numbers is 53. What is the smallest of them?
  5. 5.The sum of four consecutive whole numbers is 242. What is the largest of them?
  6. 6.The sum of four consecutive whole numbers is 102. What is the largest of them?
  7. 7.The sum of four consecutive whole numbers is 230. What is the largest of them?
  8. 8.A father is 27 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?
  9. 9.A father is 24 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  10. 10.Solve: x/4 + x/5 = 45. What is x?
  11. 11.The sum of four consecutive whole numbers is 178. What is the smallest of them?
  12. 12.Solve: 9x + 4 = 8x + 17. What is x?
  13. 13.Solve: y/5 + y/6 = 55. What is y?
  14. 14.Solve: 3(n − 4) = n + 24. What is n?
  15. 15.Solve: 8n + 4 = 6n + 24. What is n?
  16. 16.Solve: 5(p − 1) = 3p + 21. What is p?
  17. 17.The length of a rectangle is 6 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  18. 18.Solve: n/3 + n/5 = 48. What is n?
  19. 19.Solve: n/6 + n/3 = 3. What is n?
  20. 20.Solve: p/2 + p/5 = 14. What is p?
  21. 21.The length of a rectangle is 12 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  22. 22.Solve: 8m + 12 = 7m + 27. What is m?
  23. 23.The length of a rectangle is 3 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  24. 24.Solve: 8n + 4 = 2n + 34. What is n?
  25. 25.Solve: m/5 + m/2 = 49. What is m?
  26. 26.Solve: 6p + 20 = 3p + 53. What is p?
  27. 27.Solve: y/6 + y/4 = 5. What is y?
  28. 28.A father is 36 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?
  29. 29.Solve: 3(t − 5) = 2t + 11. What is t?
  30. 30.Solve: 3(x − 1) = x + 23. What is x?
  31. 31.The length of a rectangle is 4 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  32. 32.Solve: 4(n − 1) = n + 29. What is n?
  33. 33.The sum of two consecutive whole numbers is 83. What is the smallest of them?
  34. 34.The sum of three consecutive whole numbers is 162. What is the smallest of them?
  35. 35.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?
  36. 36.Solve: 6(t − 2) = t + 53. What is t?
  37. 37.Solve: y/2 + y/3 = 35. What is y?
  38. 38.The length of a rectangle is 8 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  39. 39.A father is 13 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  40. 40.A father is 16 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?

Answer key

  1. 160
  2. 8
  3. 84
  4. 26
  5. 62
  6. 27
  7. 59
  8. 7
  9. 7
  10. 100
  11. 43
  12. 13
  13. 150
  14. 18
  15. 10
  16. 13
  17. 19
  18. 90
  19. 6
  20. 20
  21. 23
  22. 15
  23. 22
  24. 5
  25. 70
  26. 11
  27. 12
  28. 10
  29. 26
  30. 13
  31. 7
  32. 11
  33. 41
  34. 53
  35. 2
  36. 13
  37. 42
  38. 21
  39. 11
  40. 7

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