Question

a student solved the equation 4x + 8=16 using algebra tiles. she incorrectly says the solution is 6. solve the equation. what mistake might the student have​ made?

Answer 1

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.