Question

Six students are working to simplify the expression shown.

Drag each student's answer to a box to show whether it is fully simplified, equivalent to the given expression but not fully simplified, or not equivalent to the given expression.

Answer 1

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)

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.