which expression is equivalent to 9(3t + 2) + 3t? 2(9t + 3) + 3t 18t + 30 3(9t + 6) + 3t 6t + 18

Answer:

First, simplify (9(3t + 2)+3t): [ \begin{align*} 9(3t + 2)+3t&=27t+18 + 3t\ &=30t+18 \end{align*} ]

Now simplify each option:

• Option 1: (2(9t + 3)+3t=18t+6 + 3t=21t+6)
• Option 2: (18t + 30)
• Option 3: (3(9t + 6)+3t=27t+18+3t=30t + 18)
• Option 4: (6t+18)

The expression equivalent to (9(3t + 2)+3t) is (3(9t + 6)+3t)

So the answer is (3(9t + 6)+3t)