Identify the pair of equivalent expressions. (1 point)

Question

3x + 2x and x-(3 + 2)
-3 (x + 2) and -3x - 3
• 2x + 2 and 2 (x + 2)
2(x + 3) and 2x + 6

Answer 1

To identify the pair of equivalent expressions, we'll simplify each option:

1. 3x + 2x: This simplifies to \(5x\).

   x - (3 + 2): This simplifies to \(x - 5\).

   These two expressions are not equivalent.

2. -3 (x + 2): This simplifies to \(-3x - 6\).

   -3x - 3: This expression remains as is.

   These two expressions are not equivalent.\

3. 2x + 2: This remains as is.

   2 (x + 2): This simplifies to \(2x + 4\).

   These two expressions are not equivalent.

4. 2(x + 3): This simplifies to \(2x + 6\).

   2x + 6: This expression remains as is.

   These two expressions are equivalent.

Thus, the equivalent pair of expressions is 2(x + 3) and 2x + 6.