Question

Six students are working to simplify the expression shown.

Answer 1

Answer:

First one Equivalent but not simplified fully (Can combine the two y terms)

Second: Equivalent but not simplified fully (Can combine the two x^2 terms)

Third: Equivalent and simplified fully

Fourth: Not equivalent (y term is not correct)

Fifth: Not equivalent (x^2 term is not correct and the constant terms [ones without variables] can be combined)

Sixth: Not Equivalent (y term is not correct and the constant terms can be combined)

Step-by-step explanation:

You just need to know if two terms have the same variable they can be added or subtracted.  But if it is say x and x^2 it cannot, they need to be brought to the same power as well.  or if there is a term with xy, it can only be added and subtracted to other xy terms

Answer 2

Answer and Step-by-step explanation:

Since we have given that

$4y-8x^2-5+14x^2+y-1$

We need to classify the six expressions:

1) $4y+6x^2-6+y$ -  It is equivalent to the given expression but not fully simplified.

2) $5y-8x^2-6+14x^2$ - equivalent to the given expression but not fully simplified.

3) $5y+6x^2-6$ -  It is fully simplified.

4) $3y+6x^2+6$ -  It is not equivalent to the given expression.

5) $5y-6x^2-5-1$ - It is  not equivalent to the given expression.

6) $3y^2+6x^2-5-1$ - It is not equivalent to the given expression.