Question

Which expressions are equivalent to 2r + (t + r)2r+(t+r)2, r, plus, left parenthesis, t, plus, r, right parenthesis ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 2rt + 4r2rt+4r2, r, t, plus, 4, r (Choice B) B r+tr+tr, plus, t (Choice C) C None of the above

Answer 1

Answer: OPTION C.

Step-by-step explanation:

By definition, equivalent expressions have the same value but they look different.

You can obtain an equivalent expression by manipulating it algebraically.

In this case, given the following expression:

$2r + (t + r)$

You can find and equivalent expression by combining or adding the like terms (You need to remember that the like terms are those terms that have the same variable with the same exponent).

So, you can identify that like terms are:

 $2r$ and $r$

Then, you can combine them by adding their coefficients (The coefficients are the numbers in front of the variable).

Therefore, you get the following equivalent expression:

$3r + t$