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

Answer 1

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

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

2. Now, subtract \(4\):
\[
5x + 15 - 4 = 5x + 11
\]

So, we have:
\[
5(x + 3) - 4 = 5x + 11
\]

Now let's check which of the provided responses are equivalent:

1. **\(5x - 1\)** - Not equivalent.
2. **\(5x + 15 - 4\)** - Equivalent, simplifies to \(5x + 11\).
3. **\(5x - 5\)** - Not equivalent.
4. **\(5x + 11\)** - Equivalent.
5. **\(5x + 3 - 4\)** - Not equivalent, simplifies to \(5x - 1\).

Thus, the two expressions that are equivalent to \(5(x + 3) - 4\) are:

- \(5x + 15 - 4\)
- \(5x + 11\)