Question

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

56
56

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

4 + -14
4 + -14

4(-10) + 4(-4)

Answer 1

To find the expression equivalent to \(4(-14)\), we can evaluate the original expression and check each of the options provided.

1. Calculate \(4(-14)\):
\[
4(-14) = -56
\]

Now, let's evaluate each of the options to see which one is equivalent to \(-56\):

1. **56**: This is not equivalent to \(-56\).

2. **4(-10 + 4)**:
\[
4(-10 + 4) = 4(-6) = -24 \quad \text{(not equivalent)}
\]

3. **4 + -14**:
\[
4 + -14 = 4 - 14 = -10 \quad \text{(not equivalent)}
\]

4. **4(-10) + 4(-4)**:
\[
4(-10) + 4(-4) = -40 - 16 = -56 \quad \text{(equivalent)}
\]

The expression that is equivalent to \(4(-14)\) is **4(-10) + 4(-4)**.