What word phrases represent the expressions -2+3x and 3x+(-2)? Are the two expressions equivalent? Explain.
The word phrases that represent the expressions -2+3x and 3x+(-2) are "Negative 2 plus 3 times x" and "3 times x plus negative 2," respectively.
To determine if the two expressions are equivalent, we can simplify them.
Starting with -2+3x:
-2+3x = 3x + (-2)
Since addition is commutative, we can rearrange the terms:
3x+(-2) = 3x+(-2)
So, the expressions -2+3x and 3x+(-2) are indeed equivalent.
In summary, the word phrases for the expressions are "Negative 2 plus 3 times x" and "3 times x plus negative 2". These expressions are equivalent, as they have the same simplified form.