Question

Which is the best description of the equivalency of the two expressions?

Expression 1
5x-2x-4+6x+3
Expression 2
6x-6x+6-x+10x-7
O The two expressions are not equivalent because when x2, the two expressions do not have the same value.
O The two expressions are not equivalent because when they are simplified, they do not have the same coefficients for
the andx terms.
O They are equivalent because the sum of the constants is the same in both expressions.
O They are equivalent because when X- 2, the two expressions have the same value,

Answer 1

First I wold simplify the expressions by combining like terms so #1 becomes 9x-1 and #2 becomes 9x-1

Once you’ve done this you can see that the two expressions are actually the same and therefore equal to each other.

The best description of the equivalency would be D
Just because the sum of the constants are equal doesn’t mean the expressions are. There could be different amounts of the variable (that’s why you should always simplify )