Question

on the right side: 3(3x + 1)\
on the left side, from top to bottom: \
5x + 3\
12x\
9x + 3\
9x + 1

Explanation:

To determine which expression is equivalent to \( 3(3x + 1) \), we first expand the given expression.

Step 1: Expand \( 3(3x + 1) \)

Using the distributive property \( a(b + c) = ab + ac \), where \( a = 3 \), \( b = 3x \), and \( c = 1 \):
\[
3(3x + 1) = 3 \times 3x + 3 \times 1
\]

Step 2: Simplify the expanded form

Calculate each term:
\[
3 \times 3x = 9x \quad \text{and} \quad 3 \times 1 = 3
\]
So, combining these terms, we get:
\[
3(3x + 1) = 9x + 3
\]

The expression \( 3(3x + 1) \) is equivalent to \( 9x + 3 \), which is the expression on the orange card.

Answer:

The equivalent expression is \( 9x + 3 \) (the orange - colored card expression).