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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 50 · 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 length of a rectangle is 11 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  2. 2.The length of a rectangle is 10 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  3. 3.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  4. 4.Solve: 5(p − 5) = 4p + 3. What is p?
  5. 5.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  6. 6.Solve: 7p + 12 = 5p + 34. What is p?
  7. 7.Solve: 9m + 14 = 8m + 19. What is m?
  8. 8.The sum of four consecutive whole numbers is 30. What is the smallest of them?
  9. 9.A father is 18 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?
  10. 10.Solve: 5y + 13 = 2y + 43. What is y?
  11. 11.Solve: 6t + 18 = 4t + 32. What is t?
  12. 12.Solve: p/2 + p/4 = 21. What is p?
  13. 13.Solve: 3(y − 2) = y + 16. What is y?
  14. 14.Solve: t/4 + t/6 = 20. What is t?
  15. 15.Solve: 6x + 12 = x + 67. What is x?
  16. 16.Solve: 3(t − 2) = t + 24. What is t?
  17. 17.Solve: 6(t − 4) = 4t + 20. What is t?
  18. 18.Solve: 8y + 5 = 5y + 38. What is y?
  19. 19.The length of a rectangle is 8 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  20. 20.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?
  21. 21.The sum of four consecutive whole numbers is 206. What is the smallest of them?
  22. 22.The length of a rectangle is 3 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  23. 23.Solve: t/4 + t/2 = 6. What is t?
  24. 24.The length of a rectangle is 1 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  25. 25.Solve: 4y + 7 = y + 34. What is y?
  26. 26.The length of a rectangle is 8 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  27. 27.Solve: m/3 + m/4 = 42. What is m?
  28. 28.Solve: 6(x − 3) = x + 32. What is x?
  29. 29.A father is 48 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  30. 30.Solve: y/4 + y/2 = 6. What is y?
  31. 31.Solve: 6x + 11 = 4x + 15. What is x?
  32. 32.Solve: 6m + 12 = 3m + 54. What is m?
  33. 33.The sum of two consecutive whole numbers is 77. What is the smallest of them?
  34. 34.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  35. 35.Solve: 8y + 18 = 6y + 36. What is y?
  36. 36.The length of a rectangle is 8 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  37. 37.Solve: 4(y − 1) = 2y + 4. What is y?
  38. 38.Solve: 3t + 19 = t + 43. What is t?
  39. 39.Solve: 9p + 15 = 3p + 39. What is p?
  40. 40.The length of a rectangle is 5 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?

Answer key

  1. 3
  2. 9
  3. 2
  4. 28
  5. 8
  6. 11
  7. 5
  8. 6
  9. 3
  10. 10
  11. 7
  12. 28
  13. 11
  14. 48
  15. 11
  16. 15
  17. 22
  18. 11
  19. 15
  20. 2
  21. 50
  22. 24
  23. 8
  24. 27
  25. 9
  26. 3
  27. 72
  28. 10
  29. 12
  30. 8
  31. 2
  32. 14
  33. 38
  34. 5
  35. 9
  36. 19
  37. 4
  38. 12
  39. 4
  40. 6

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