Which algebraic expression is equivalent to the expression below?
4(4x+6)+3x
(2 points)
Responses
19x + 6
19x + 6
19x + 24
19x + 24
7x + 6
7x + 6
16x + 24
The algebraic expression that is equivalent to 4(4x+6)+3x is 19x + 24.
19x + 6
19x + 6
19x + 24
19x + 24
7x + 6
7x + 6
16x + 24
which one of these
The correct expression that is equivalent to 4(4x+6)+3x is 19x + 24.
simplafiy
To simplify the expression 4(4x+6)+3x, we can follow the order of operations (PEMDAS) to simplify:
First, distribute the 4 to both terms inside the parentheses:
4 * 4x + 4 * 6 + 3x
16x + 24 + 3x
Next, combine like terms by adding the coefficients of the x terms:
16x + 3x = 19x
Finally, combine the constant terms:
19x + 24
So, the simplified expression is 19x + 24.
To find the equivalent expression, we need to simplify the given expression by applying the distributive property and combining like terms.
We start by distributing the 4 to both terms inside the parentheses:
4(4x + 6) = 4 * 4x + 4 * 6 = 16x + 24
Now we add the term outside the parentheses:
16x + 24 + 3x = 19x + 24
So the equivalent expression is 19x + 24.
Therefore, the correct answer is:
19x + 24.