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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 805 · 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: p/4 + p/6 = 5. What is p?
  2. 2.Solve: y/5 + y/2 = 35. What is y?
  3. 3.A father is 18 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  4. 4.The length of a rectangle is 8 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  5. 5.A father is 20 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?
  6. 6.The sum of two consecutive whole numbers is 59. What is the largest of them?
  7. 7.A father is 45 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?
  8. 8.Solve: 5(p − 2) = p + 46. What is p?
  9. 9.Solve: 4p + 18 = 3p + 22. What is p?
  10. 10.The sum of three consecutive whole numbers is 165. What is the smallest of them?
  11. 11.The sum of four consecutive whole numbers is 90. What is the smallest of them?
  12. 12.The length of a rectangle is 1 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  13. 13.Solve: n/4 + n/2 = 9. What is n?
  14. 14.Solve: 3(y − 3) = 2y + 13. What is y?
  15. 15.Solve: 6(y − 3) = 5y + 4. What is y?
  16. 16.Solve: 5(x − 5) = 2x + 35. What is x?
  17. 17.A father is 51 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?
  18. 18.The sum of four consecutive whole numbers is 130. What is the largest of them?
  19. 19.Solve: 6(x − 5) = 5x + 10. What is x?
  20. 20.A father is 13 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  21. 21.The sum of four consecutive whole numbers is 46. What is the smallest of them?
  22. 22.The length of a rectangle is 9 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  23. 23.Solve: x/2 + x/3 = 5. What is x?
  24. 24.The sum of four consecutive whole numbers is 242. What is the smallest of them?
  25. 25.The length of a rectangle is 3 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  26. 26.Solve: t/3 + t/2 = 25. What is t?
  27. 27.Solve: 8n + 1 = n + 78. What is n?
  28. 28.The sum of two consecutive whole numbers is 41. What is the largest of them?
  29. 29.A father is 30 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?
  30. 30.The length of a rectangle is 10 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  31. 31.Solve: m/3 + m/2 = 30. What is m?
  32. 32.Solve: 3x + 3 = 2x + 8. What is x?
  33. 33.Solve: x/6 + x/5 = 22. What is x?
  34. 34.The sum of two consecutive whole numbers is 77. What is the largest of them?
  35. 35.Solve: 3t + 13 = 2t + 15. What is t?
  36. 36.Solve: 4p + 3 = p + 45. What is p?
  37. 37.The length of a rectangle is 2 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  38. 38.Solve: m/6 + m/4 = 15. What is m?
  39. 39.A father is 15 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  40. 40.Solve: m/2 + m/6 = 8. What is m?

Answer key

  1. 12
  2. 50
  3. 2
  4. 28
  5. 4
  6. 30
  7. 8
  8. 14
  9. 4
  10. 54
  11. 21
  12. 21
  13. 12
  14. 22
  15. 22
  16. 20
  17. 12
  18. 34
  19. 40
  20. 10
  21. 10
  22. 30
  23. 6
  24. 59
  25. 8
  26. 30
  27. 11
  28. 21
  29. 8
  30. 21
  31. 36
  32. 5
  33. 60
  34. 39
  35. 2
  36. 14
  37. 22
  38. 36
  39. 9
  40. 12

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