A teacher asked the students to write the following statements:
I. Twice of x plus four
II. Three time x minus 7
Students responded as and , while the teacher was expecting and . The above mistakes have occurred due to

Correct option is D

The correct option is D. language used by teacher. 
Explanation  The students' responses of \(2x+4\) and \(3x-7\) indicate they interpreted the instructions as "Twice of x, plus four" and "Three times x, minus 7" respectively. The teacher's expected answers of \(2(x+4)\) and \(3(x-7)\) would result from instructions such as "Twice the sum of x and four" and "Three times the difference of x and seven". The ambiguity in the phrasing "Twice of x plus four" and "Three time x minus 7" means the students followed one possible interpretation, while the teacher intended another. This misunderstanding stems from the teacher's language rather than a lack of student ability.
Other Options-
A. lack of understanding of linear expressions: The students successfully wrote linear expressions based on their interpretation. This indicates they likely understood the concept of forming expressions, but misinterpreted the specific instructions due to the phrasing.
B. lack of appropriate practice of writing linear expressions: The students were able to translate the words into mathematical expressions, which suggests they had some practice. The issue was with the interpretation of the instruction, not the mechanical writing of the expression.
C. careless listening by students: The students likely listened carefully but interpreted the ambiguous language differently than the teacher intended. The onus for clear communication in the classroom rests on the teacher.