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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 966 · 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: t/4 + t/2 = 18. What is t?
  2. 2.Solve: 5(n − 1) = 2n + 13. What is n?
  3. 3.Solve: 8t + 11 = t + 95. What is t?
  4. 4.Solve: 6(x − 3) = 2x + 22. What is x?
  5. 5.Solve: 5y + 3 = 4y + 17. What is y?
  6. 6.The length of a rectangle is 6 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  7. 7.Solve: 4(y − 4) = 3y + 11. What is y?
  8. 8.Solve: 4y + 20 = y + 26. What is y?
  9. 9.Solve: y/4 + y/6 = 10. What is y?
  10. 10.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  11. 11.The length of a rectangle is 9 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  12. 12.Solve: x/3 + x/2 = 35. What is x?
  13. 13.Solve: 9t + 13 = 6t + 25. What is t?
  14. 14.Solve: 9y + 10 = 3y + 82. What is y?
  15. 15.Solve: 6p + 10 = 3p + 46. What is p?
  16. 16.A father is 30 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?
  17. 17.Solve: x/4 + x/3 = 7. What is x?
  18. 18.The sum of two consecutive whole numbers is 117. What is the largest of them?
  19. 19.Solve: 3(t − 5) = 2t + 11. What is t?
  20. 20.Solve: x/6 + x/2 = 24. What is x?
  21. 21.Solve: 5t + 16 = 4t + 29. What is t?
  22. 22.The sum of three consecutive whole numbers is 24. What is the largest of them?
  23. 23.Solve: t/2 + t/4 = 18. What is t?
  24. 24.The length of a rectangle is 1 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  25. 25.The sum of two consecutive whole numbers is 25. What is the largest of them?
  26. 26.The sum of three consecutive whole numbers is 72. What is the smallest of them?
  27. 27.A father is 40 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  28. 28.The sum of three consecutive whole numbers is 51. What is the largest of them?
  29. 29.Solve: 4y + 4 = 2y + 16. What is y?
  30. 30.Solve: 8y + 10 = 3y + 85. What is y?
  31. 31.The sum of three consecutive whole numbers is 90. What is the smallest of them?
  32. 32.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  33. 33.The sum of two consecutive whole numbers is 39. What is the largest of them?
  34. 34.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?
  35. 35.Solve: 9p + 1 = 6p + 28. What is p?
  36. 36.A father is 18 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  37. 37.The length of a rectangle is 3 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  38. 38.The sum of four consecutive whole numbers is 30. What is the largest of them?
  39. 39.Solve: 9t + 2 = t + 50. What is t?
  40. 40.The length of a rectangle is 11 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?

Answer key

  1. 24
  2. 6
  3. 12
  4. 10
  5. 14
  6. 14
  7. 27
  8. 2
  9. 24
  10. 20
  11. 8
  12. 42
  13. 4
  14. 12
  15. 12
  16. 12
  17. 12
  18. 59
  19. 26
  20. 36
  21. 13
  22. 9
  23. 24
  24. 30
  25. 13
  26. 23
  27. 12
  28. 18
  29. 6
  30. 15
  31. 29
  32. 4
  33. 20
  34. 3
  35. 9
  36. 5
  37. 17
  38. 9
  39. 6
  40. 17

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