Question

explain whether $15t - 2t$ is equivalent to $2t - 15t$. support your
the expression $15t - 2t$ equivalent to $2t - 15t$
because the negative sign in $15t - 2t$ belongs to the term

Explanation:

Step1: Simplify 15t - 2t

Combine like terms: $15t - 2t = (15-2)t = 13t$

Step2: Simplify 2t - 15t

Combine like terms: $2t - 15t = (2-15)t = -13t$

Step3: Compare the two results

$13t
eq -13t$ (unless $t=0$, but expressions are not equivalent for all $t$)

Answer:

The expression $15t - 2t$ is not equivalent to $2t - 15t$ because the negative sign in $15t - 2t$ belongs to the term $2t$, so simplifying gives $13t$, while $2t - 15t$ simplifies to $-13t$, and these two results are not equal for all values of $t$.