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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 511 · 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: 6(p − 2) = 5p + 7. What is p?
  2. 2.The sum of two consecutive whole numbers is 33. What is the largest of them?
  3. 3.The length of a rectangle is 1 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  4. 4.The sum of three consecutive whole numbers is 120. What is the smallest of them?
  5. 5.A father is 6 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?
  6. 6.Solve: n/6 + n/5 = 11. What is n?
  7. 7.The sum of four consecutive whole numbers is 70. What is the largest of them?
  8. 8.The sum of two consecutive whole numbers is 49. What is the largest of them?
  9. 9.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  10. 10.Solve: m/2 + m/3 = 35. What is m?
  11. 11.Solve: 3(x − 5) = x + 7. What is x?
  12. 12.Solve: 9p + 2 = 5p + 54. What is p?
  13. 13.The sum of three consecutive whole numbers is 69. What is the largest of them?
  14. 14.Solve: 3t + 4 = 2t + 5. What is t?
  15. 15.The sum of two consecutive whole numbers is 13. What is the smallest of them?
  16. 16.Solve: 6x + 16 = 5x + 22. What is x?
  17. 17.Solve: 3n + 2 = n + 4. What is n?
  18. 18.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?
  19. 19.Solve: 5(x − 5) = 3x + 19. What is x?
  20. 20.Solve: 6m + 2 = 3m + 41. What is m?
  21. 21.The length of a rectangle is 11 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  22. 22.Solve: 6(x − 5) = x + 5. What is x?
  23. 23.Solve: 3(x − 1) = 2x + 9. What is x?
  24. 24.The sum of four consecutive whole numbers is 126. What is the largest of them?
  25. 25.Solve: 5(y − 2) = 2y + 11. What is y?
  26. 26.Solve: 4x + 2 = 3x + 17. What is x?
  27. 27.A father is 15 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  28. 28.Solve: 6m + 4 = 2m + 64. What is m?
  29. 29.A father is 30 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?
  30. 30.Solve: m/6 + m/3 = 3. What is m?
  31. 31.Solve: t/2 + t/3 = 15. What is t?
  32. 32.Solve: 5p + 18 = 2p + 24. What is p?
  33. 33.Solve: 6(x − 5) = 5x + 3. What is x?
  34. 34.A father is 26 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?
  35. 35.Solve: 6p + 13 = 5p + 18. What is p?
  36. 36.Solve: x/2 + x/6 = 4. What is x?
  37. 37.The sum of four consecutive whole numbers is 154. What is the smallest of them?
  38. 38.The sum of four consecutive whole numbers is 86. What is the largest of them?
  39. 39.Solve: n/6 + n/5 = 22. What is n?
  40. 40.Solve: n/6 + n/4 = 10. What is n?

Answer key

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

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