Question is incomplete, here is the complete question below:
Three students were given the expression shown and were asked to take a common factor out of two of the terms.
Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent.
7-8x+22
Calvin: 7−2(4x+11)
Calvin's expression is (correct/incorrect) because .............
Greg: 7+14x
Greg's expression is (correct/incorrect) because ............
Ruben: 7+2(4x+11)
Ruben's expression is (correct/incorrect) because .
Equivalent Expression
The correct simplification of this expression is ...............
Answer:
The correct simplification of this expression is 7-2(4x-11)
Step-by-step explanation:
Calvin: 7−2(4x+11)
Calvin's expression is incorrect because if -2 is taken as common term then sign (+) should also be changed to (-)
i.e. 7−2(4x+11) produces 7-8x-22 which is not equivalent to 7-8x+22
Greg: 7+14x
Greg's expression is incorrect because 7+14x is not equivalent to 7-8x+22
Ruben: 7+2(4x+11)
Ruben's expression is incorrect because 7+2(4x+11)
=7+8x+22 which is not equivalent to 7-8x+22
Equivalent Expression is 7-2(4x-11)
The correct simplification of this expression is 7-2(4x-11)
is 76.