Which expression is equivalent to minus, 5, k, minus, 4, plus, k, plus, 3−5k−4+k+3?

Question

Answer
Multiple Choice Answers
minus, 6, k, minus, 1−6k−1
minus, 6, k, minus, 7−6k−7
minus, 1, minus, 4, k−1−4k
minus, 9, k, plus, 4−9k+4

Answer 1

To simplify the expression \(-5k - 4 + k + 3\), we can combine the like terms.

1. Combine the \(k\) terms: \(-5k + k = -4k\)

2. Combine the constant terms: \(-4 + 3 = -1\)

Putting it all together, the simplified expression is: \[ -4k - 1 \]

Now, we need to examine which of the multiple choice answers matches \(-4k - 1\):

1. \(-6k - 1\)
2. \(-6k - 7\)
3. \(-1 - 4k\) (This is equivalent to \(-4k - 1\))
4. \(-9k + 4\)

The equivalent expression is: \[ \boxed{-1 - 4k} \]