Question

Identify the pair of equivalent expressions.(1 point)
Responses

2(x+3)
and 2x+6
2 times open paren x plus 3 close paren and 2 x plus 6

2x+2
and 2(x+2)
2 x plus 2 and 2 times open paren x plus 2 close paren

3x+2x
and x2(3+2)
3 x plus 2 x and x squared times open paren 3 plus 2 close paren

−3(x+2)
and −3x−3

Answer 1

The pair of equivalent expressions is:

**2(x+3)** and **2x+6**

This is because when you distribute the 2 in the first expression, you get:

2(x + 3) = 2x + 6.

The other pairs are not equivalent:

- **2x + 2** is not equivalent to **2(x + 2)** as the latter simplifies to **2x + 4**.
- **3x + 2x** simplifies to **5x**, which is not equivalent to **x²(3 + 2)**, as the latter simplifies to **5x²**.
- **−3(x + 2)** simplifies to **−3x − 6**, which is not equivalent to **−3x − 3**.

So the correct answer is **2(x + 3)** and **2x + 6**.