ALBEGRA - 6TH GRADE LEVEL

Question

*I need this done in a few minutes*

*Are these equivalent? Can you please show the work to explain if they are or not? I'm confused about how to do the squared coefficients.*

Is 7x - 4 + 2x² + 6 + 3x² equivalent to 7x + 1 + 5x² + 1?

*Please show the work so I can understand*

Answer 1

They're equivalent.

Just compare like terms, the squared terms on one side to the squared terms on the other side

same with just the x terms

and with the constant terms

2x^2 +3x^2 = 5x^2

2x^2 + 3x^2 = (2+3)x^2 = 5x^2

7x=7x

then the constant terms, the ones with no x in them, no variables

-4+6 = +1+1

2 = 2