Which expression in equivalent to 2(4x - 9)
a. 8x-18/3
b. 8x-9/3
c. 8/3(x+18)
d. 8/3(x-12)
The equivalent expression to 2(4x - 9) is b. 8x - 9/3.
Which two statements are correct when simplifying this expression?
12 + 6(3x − 2)
Responses
A First, calculate 6(3x − 2)First, calculate 6(3x − 2)
B First, calculate 12 + 6.First, calculate 12 + 6.
C 12 + 6(3x − 2) = 54x − 3612 + 6(3x − 2) = 54x − 36
D 12 + 6(3x − 2) = 18x12 + 6(3x − 2) = 18x
E 12 + 6(3x − 2) = 18x − 24
The correct statements when simplifying the expression 12 + 6(3x - 2) are:
A. First, calculate 6(3x - 2)
B. First, calculate 12 + 6
These statements indicate the order of operations when simplifying the expression.
To simplify the expression 2(4x - 9), you need to distribute the 2 to the terms inside the parentheses. Let's follow these steps:
Step 1: Distribute the 2 to the terms inside the parentheses.
2 * 4x = 8x
2 * (-9) = -18
So, the expression becomes 8x - 18.
Therefore, the equivalent expression is a. 8x - 18/3.
To determine the expression that is equivalent to 2(4x - 9), we need to simplify the expression 2(4x - 9) by distributing the 2 to both terms inside the parentheses.
Option a. 8x-18/3:
This expression does not distribute the 2 to both terms within the parentheses. To simplify, we would need to divide both 8x and -18 by 3.
Option b. 8x-9/3:
This expression also does not distribute the 2 to both terms within the parentheses. To simplify, we would need to divide -9 by 3.
Option c. 8/3(x+18):
This expression distributes the 2 to both terms correctly. To simplify, we would multiply both terms within the parentheses by 8/3.
Option d. 8/3(x-12):
This expression does not distribute the 2 to both terms within the parentheses. To simplify, we would need to multiply x by 8/3 and -12 by 8/3.
Therefore, the expression that is equivalent to 2(4x - 9) is option c. 8/3(x+18).