Which expression is equivalent to 4(-14)?(1 point)

Question

Responses

56
56

4(-10 + 4)
4(-10 + 4)

4(-10) + 4(-4)
4(-10) + 4(-4)

4 + -14

Answer 1

To find an expression equivalent to \( 4(-14) \), let's simplify \( 4(-14) \):

\[ 4(-14) = -56 \]

Now, we'll evaluate the provided options to see if any of them also equal \(-56\):

1. \(56\) (This is not equivalent.)
2. \(4(-10 + 4)\):
   Simplifying that:
   \[ 4(-10 + 4) = 4(-6) = -24 \quad \text{(Not equivalent)} \]
3. \(4(-10) + 4(-4)\):
   Simplifying that:
   \[ 4(-10) + 4(-4) = -40 - 16 = -56 \quad \text{(This is equivalent)} \]
4. \(4 + -14\):
   Simplifying that:
   \[ 4 + -14 = -10 \quad \text{(Not equivalent)} \]

The only expression among the options that is equivalent to \( 4(-14) \) is:
\( 4(-10) + 4(-4) \).