Identify the pair of equivalent expressions.(1 point)

Question

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.