which algebraic expression is equivalent to the expression below?

Question

3(9x+11)+3

given:
27x+42
9x+20
27x+36
12x+23

Answer 1

To simplify the expression \( 3(9x + 11) + 3 \), we can follow these steps:

1. Distribute the 3 in the expression \( 3(9x + 11) \): \[ 3 \cdot 9x + 3 \cdot 11 = 27x + 33 \]

2. Now, add the 3 from the original expression: \[ 27x + 33 + 3 = 27x + 36 \]

Thus, the equivalent algebraic expression is:

\[ 27x + 36 \]

So the correct answer from the provided options is 27x + 36.