Question

Select the TWO expressions below that are equivalent to 5(x + 3) - 4(2 points)
Responses

5x - 1
5x - 1

5x + 15 - 4
5x + 15 - 4

5x - 5
5x - 5

5x + 11
5x + 11

5x + 3 - 4
5x + 3 - 4

Answer 1

To determine which expressions are equivalent to \( 5(x + 3) - 4 \), let's simplify that expression step by step.

1. Distribute \( 5 \) in the expression:
\[
5(x + 3) = 5x + 15
\]

2. Subtract \( 4 \) from the result:
\[
5x + 15 - 4 = 5x + 11
\]

Now we have simplified \( 5(x + 3) - 4 \) to \( 5x + 11 \).

Next, let's compare with the given options:

1. \( 5x - 1 \) 
2. \( 5x + 15 - 4 \) (This simplifies to \( 5x + 11 \))
3. \( 5x - 5 \)
4. \( 5x + 11 \)
5. \( 5x + 3 - 4 \) (This simplifies to \( 5x - 1 \))

The two expressions equivalent to \( 5(x + 3) - 4 \) are:

- \( 5x + 15 - 4 \) (which simplifies to \( 5x + 11 \))
- \( 5x + 11 \)

So, the two correct responses are:
- \( 5x + 15 - 4 \)
- \( 5x + 11 \)