Question

Are the expressions : 140 + 8) + 3c - 2 and 4c + 2(0.5c + 1) equivalent? Show your work

Answer 1

We have the following:

To be equivalent they have to be equal, therefore we set both expressions equal

$\frac{1}{2}\cdot(4c+8)+3c-2=4c+2\cdot(0.5c+1)$

we simplify on both sides, and we are left

$\begin{gathered} 2c+4+3c-2=4c+1c+2 \\ 5c+2=5c+2 \end{gathered}$

When they are equal, it means that if they are equivalent