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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 760 · 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: 4(x − 4) = 3x + 9. What is x?
  2. 2.Solve: 5n + 17 = 4n + 24. What is n?
  3. 3.The length of a rectangle is 12 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  4. 4.The length of a rectangle is 15 cm more than its width. Its perimeter is 146 cm. What is its width (in cm)?
  5. 5.The length of a rectangle is 14 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  6. 6.The length of a rectangle is 15 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  7. 7.The sum of three consecutive whole numbers is 48. What is the smallest of them?
  8. 8.The sum of two consecutive whole numbers is 95. What is the largest of them?
  9. 9.The length of a rectangle is 12 cm more than its width. Its perimeter is 144 cm. What is its width (in cm)?
  10. 10.The sum of four consecutive whole numbers is 90. What is the smallest of them?
  11. 11.Solve: 6(y − 4) = y + 6. What is y?
  12. 12.The length of a rectangle is 12 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  13. 13.The sum of two consecutive whole numbers is 21. What is the largest of them?
  14. 14.The length of a rectangle is 2 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  15. 15.Solve: 6x + 9 = x + 19. What is x?
  16. 16.Solve: m/3 + m/4 = 56. What is m?
  17. 17.A father is 12 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?
  18. 18.Solve: 3(p − 2) = p + 18. What is p?
  19. 19.The sum of four consecutive whole numbers is 194. What is the smallest of them?
  20. 20.Solve: 6(x − 5) = x + 45. What is x?
  21. 21.The sum of two consecutive whole numbers is 77. What is the largest of them?
  22. 22.A father is 15 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?
  23. 23.Solve: 3(x − 3) = x + 13. What is x?
  24. 24.Solve: 8t + 3 = 6t + 19. What is t?
  25. 25.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  26. 26.Solve: y/6 + y/3 = 12. What is y?
  27. 27.The sum of four consecutive whole numbers is 150. What is the smallest of them?
  28. 28.The sum of two consecutive whole numbers is 77. What is the smallest of them?
  29. 29.Solve: p/6 + p/5 = 88. What is p?
  30. 30.The length of a rectangle is 1 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  31. 31.Solve: y/2 + y/6 = 8. What is y?
  32. 32.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?
  33. 33.A father is 12 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  34. 34.The sum of three consecutive whole numbers is 48. What is the largest of them?
  35. 35.A father is 14 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?
  36. 36.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?
  37. 37.The sum of four consecutive whole numbers is 26. What is the largest of them?
  38. 38.Solve: 3(p − 1) = p + 7. What is p?
  39. 39.Solve: 4(t − 1) = 3t + 7. What is t?
  40. 40.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 25
  2. 7
  3. 26
  4. 29
  5. 14
  6. 25
  7. 15
  8. 48
  9. 30
  10. 21
  11. 6
  12. 3
  13. 11
  14. 5
  15. 2
  16. 96
  17. 4
  18. 12
  19. 47
  20. 15
  21. 39
  22. 2
  23. 11
  24. 8
  25. 8
  26. 24
  27. 36
  28. 38
  29. 240
  30. 7
  31. 12
  32. 8
  33. 9
  34. 17
  35. 4
  36. 6
  37. 8
  38. 5
  39. 11
  40. 11

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