The problem shows a student's attempt to simplify an expression. However, the student made a mistake. Which statement correctly describes the mistake the student made?

Question

−4(2x+5)=−4⋅2x+5=−8x+5

Responses

The student should not have distributed −4
to 2x.
The student should not have distributed − 4 to 2 x .

The student multiplied −4
and 2x incorrectly.
The student multiplied − 4 and 2 x incorrectly.

The student forgot to add −8x
and 5.
The student forgot to add − 8 x and 5.

The student did not distribute −4
to 5.
The student did not distribute − 4 to 5.

Answer 1

The statement that correctly describes the mistake the student made is:

The student did not distribute −4 to 5.

The student only distributed −4 to 2x, resulting in −8x, but did not apply the distribution to the entire expression, which includes the +5. The correct distribution should have resulted in −8x − 20 (i.e., distributing −4 to both terms).

Answer 2

whats the answer

Answer 3

The correct answer is:

The student did not distribute −4 to 5.