Answer:
This would lead the student to the incorrect solution of x = 4 instead of the correct solution of x = 2.
Explanation:
he equation 4x + 8 = 16 can be solved using algebra as follows:
Subtract 8 from both sides of the equation:
4x + 8 - 8 = 16 - 8
4x = 8
Divide both sides of the equation by 4:
4x/4 = 8/4
x = 2
Therefore, the correct solution to the equation is x = 2.
If the student incorrectly says the solution is 6, then they might have made the mistake of forgetting to subtract 8 from both sides of the equation before dividing by 4. This would result in the following incorrect work:
Divide both sides of the equation by 4:
4x/4 = 16/4
x = 4
Add 2 to both sides of the equation:
x + 2 = 4 + 2
x + 2 = 6
x = 6 - 2
This would lead the student to the incorrect solution of x = 4 instead of the correct solution of x = 2.