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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 473 · 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 four consecutive whole numbers is 134. What is the largest of them?
  2. 2.Solve: 8p + 4 = 5p + 10. What is p?
  3. 3.The length of a rectangle is 6 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  4. 4.The sum of four consecutive whole numbers is 162. What is the smallest of them?
  5. 5.Solve: m/6 + m/3 = 6. What is m?
  6. 6.The length of a rectangle is 12 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  7. 7.The sum of four consecutive whole numbers is 66. What is the smallest of them?
  8. 8.Solve: n/3 + n/2 = 20. What is n?
  9. 9.Solve: 6m + 8 = 2m + 32. What is m?
  10. 10.A father is 33 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?
  11. 11.Solve: 4y + 3 = 2y + 17. What is y?
  12. 12.Solve: t/6 + t/4 = 20. What is t?
  13. 13.Solve: 3(x − 4) = 2x + 12. What is x?
  14. 14.Solve: 9t + 20 = 6t + 38. What is t?
  15. 15.A father is 11 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  16. 16.Solve: 4m + 9 = 3m + 12. What is m?
  17. 17.Solve: 3(y − 3) = y + 5. What is y?
  18. 18.Solve: y/3 + y/4 = 56. What is y?
  19. 19.Solve: p/3 + p/6 = 21. What is p?
  20. 20.Solve: t/6 + t/2 = 24. What is t?
  21. 21.Solve: 4y + 16 = y + 43. What is y?
  22. 22.The length of a rectangle is 10 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  23. 23.The sum of three consecutive whole numbers is 144. What is the smallest of them?
  24. 24.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  25. 25.The length of a rectangle is 13 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  26. 26.Solve: x/3 + x/2 = 10. What is x?
  27. 27.Solve: 4(y − 4) = y + 11. What is y?
  28. 28.Solve: n/2 + n/4 = 15. What is n?
  29. 29.The sum of four consecutive whole numbers is 50. What is the smallest of them?
  30. 30.The length of a rectangle is 12 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  31. 31.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?
  32. 32.Solve: 3t + 13 = 2t + 18. What is t?
  33. 33.Solve: 9y + 3 = 3y + 45. What is y?
  34. 34.A father is 27 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?
  35. 35.Solve: 5(t − 3) = t + 45. What is t?
  36. 36.A father is 54 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  37. 37.Solve: y/6 + y/3 = 24. What is y?
  38. 38.Solve: 4(x − 1) = 2x + 12. What is x?
  39. 39.The length of a rectangle is 11 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  40. 40.The sum of four consecutive whole numbers is 234. What is the smallest of them?

Answer key

  1. 35
  2. 2
  3. 3
  4. 39
  5. 12
  6. 4
  7. 15
  8. 24
  9. 6
  10. 9
  11. 7
  12. 48
  13. 24
  14. 6
  15. 7
  16. 3
  17. 7
  18. 96
  19. 42
  20. 36
  21. 9
  22. 14
  23. 47
  24. 4
  25. 25
  26. 12
  27. 9
  28. 20
  29. 11
  30. 20
  31. 6
  32. 5
  33. 7
  34. 4
  35. 15
  36. 10
  37. 48
  38. 8
  39. 11
  40. 57

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