Question

explain whether 15t - 2t is equivalent to 2t - 15t. support your answer by evaluating the expressions for t = 2.

the expression 15t - 2t dropdown equivalent to 2t - 15t because the negative sign in 15t - 2t belongs to the term box.
dropdown options: is, is not

Explanation:

Step1: Evaluate \(15t - 2t\) at \(t = 2\)

First, simplify \(15t - 2t\) to \(13t\). Then substitute \(t = 2\): \(13\times2 = 26\).

Step2: Evaluate \(2t - 15t\) at \(t = 2\)

Simplify \(2t - 15t\) to \(-13t\). Substitute \(t = 2\): \(-13\times2 = -26\).

Step3: Compare the results

Since \(26
eq -26\), the expressions are not equivalent. The negative sign in \(15t - 2t\) belongs to the term \(2t\) (because \(15t - 2t\) is \(15t + (-2t)\), so the negative is with \(2t\)).

Answer:

The expression \(15t - 2t\) \(\boldsymbol{\text{is not}}\) equivalent to \(2t - 15t\) because the negative sign in \(15t - 2t\) belongs to the term \(\boldsymbol{2t}\).