Question
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?
−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.
−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.
Answers
GPT-4o mini
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).
**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).
whats the answer
GPT-4o mini
The correct answer is:
**The student did not distribute −4 to 5.**
**The student did not distribute −4 to 5.**