Jackson is given the expression below to simplify.

Question

9x – 4 + 4x + 5x + 19

Which expression is equivalent to Jackson's expression?

A.
3(6x + 5)

B.
18x + 23

C.
5(x + 2)

D.
14x + 19

Answer 1

To simplify the expression \( 9x - 4 + 4x + 5x + 19 \), we first combine like terms.

1. Combine the \( x \) terms: \[ 9x + 4x + 5x = (9 + 4 + 5)x = 18x \]

2. Combine the constant terms: \[ -4 + 19 = 15 \]

Putting it all together, we have: \[ 18x + 15 \]

Now, let's check which of the answer choices is equivalent to \( 18x + 15 \).

A. \( 3(6x + 5) = 18x + 15 \) (This is equivalent) B. \( 18x + 23 \) (This is not equivalent) C. \( 5(x + 2) = 5x + 10 \) (This is not equivalent) D. \( 14x + 19 \) (This is not equivalent)

Thus, the correct answer is: A. 3(6x + 5).