Identify the pair of equivalent expressions.(1 point)

Question

Responses

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

3(x+2)
and 3x+6

Answer 1

To determine which pair of expressions are equivalent, let's simplify each expression pair one by one:

1. 3x + 2 and 3(x + 2)

   • 3(x + 2) = 3x + 32 = 3x + 6. (Not equivalent)

2. 3x + 2x and x²(3 + 2)

   • 3x + 2x = (3 + 2)x = 5x.
   • x²(3 + 2) = x² * 5 = 5x². (Not equivalent)

3. −3(x + 2) and −6x − 3

   • −3(x + 2) = −3x − 6.
   • −6x − 3. (Not equivalent)

4. 3(x + 2) and 3x + 6

   • 3(x + 2) = 3x + 32 = 3x + 6. (Equivalent)

The pair of equivalent expressions is:

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