Question

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