Question

Select the expression equivalent to (-13x - 15) - (-9x+ 16).

A. 4x - 31

B. -4 + 1

C. -4x - 31

D. -22x - 31

Answer 1

To simplify the expression \((-13x - 15) - (-9x + 16)\), we can first rewrite it as follows:

\[
-13x - 15 + 9x - 16
\]

Next, we will combine like terms:

1. Combine the \(x\) terms:
\(-13x + 9x = -4x\)

2. Combine the constant terms:
\(-15 - 16 = -31\)

Putting it all together, we have:

\[
-4x - 31
\]

So the expression equivalent to \((-13x - 15) - (-9x + 16)\) is:

\(-4x - 31\)

The correct option is:

**C. -4x - 31**