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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 262 · 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.The sum of three consecutive whole numbers is 30. What is the largest of them?
  2. 2.Solve: x/5 + x/6 = 44. What is x?
  3. 3.The length of a rectangle is 7 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  4. 4.The length of a rectangle is 15 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  5. 5.The length of a rectangle is 9 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  6. 6.The length of a rectangle is 11 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  7. 7.Solve: 4n + 11 = 3n + 14. What is n?
  8. 8.Solve: 3t + 17 = t + 23. What is t?
  9. 9.The length of a rectangle is 6 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  10. 10.A father is 28 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?
  11. 11.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  12. 12.Solve: 3(m − 1) = m + 13. What is m?
  13. 13.Solve: y/4 + y/5 = 9. What is y?
  14. 14.Solve: 7t + 9 = 6t + 19. What is t?
  15. 15.The sum of two consecutive whole numbers is 71. What is the largest of them?
  16. 16.Solve: 6(p − 3) = 4p + 6. What is p?
  17. 17.Solve: t/6 + t/3 = 12. What is t?
  18. 18.Solve: 5(p − 2) = p + 10. What is p?
  19. 19.Solve: t/2 + t/6 = 4. What is t?
  20. 20.Solve: 9t + 5 = 5t + 17. What is t?
  21. 21.The length of a rectangle is 1 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  22. 22.Solve: 5(n − 2) = 2n + 35. What is n?
  23. 23.A father is 9 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?
  24. 24.Solve: y/5 + y/6 = 11. What is y?
  25. 25.Solve: 6(n − 4) = n + 61. What is n?
  26. 26.Solve: y/2 + y/3 = 20. What is y?
  27. 27.Solve: 3p + 17 = p + 41. What is p?
  28. 28.Solve: t/3 + t/2 = 35. What is t?
  29. 29.A father is 42 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?
  30. 30.Solve: 4x + 13 = x + 58. What is x?
  31. 31.A father is 26 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  32. 32.The length of a rectangle is 15 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  33. 33.The length of a rectangle is 7 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  34. 34.Solve: 9n + 1 = 8n + 13. What is n?
  35. 35.Solve: 5(p − 2) = 3p + 14. What is p?
  36. 36.Solve: 6(m − 5) = 2m + 10. What is m?
  37. 37.Solve: n/5 + n/4 = 27. What is n?
  38. 38.The sum of four consecutive whole numbers is 242. What is the largest of them?
  39. 39.The length of a rectangle is 8 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  40. 40.Solve: m/2 + m/6 = 28. What is m?

Answer key

  1. 11
  2. 120
  3. 11
  4. 24
  5. 27
  6. 6
  7. 3
  8. 3
  9. 20
  10. 12
  11. 2
  12. 8
  13. 20
  14. 10
  15. 36
  16. 12
  17. 24
  18. 5
  19. 6
  20. 3
  21. 18
  22. 15
  23. 2
  24. 30
  25. 17
  26. 24
  27. 12
  28. 42
  29. 8
  30. 15
  31. 10
  32. 17
  33. 6
  34. 12
  35. 12
  36. 10
  37. 60
  38. 62
  39. 19
  40. 42

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