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

Question

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