hich two statements are correct when simplifying this expression?
12 + 6(3x − 2)
The correct statements when simplifying the expression 12 + 6(3x − 2) are:
1. Distributive property: 6 times each term inside the parentheses: 12 + 18x − 12
2. Combining like terms: 12 and -12 cancel each other out: 18x
To simplify the expression 12 + 6(3x − 2), we can follow the order of operations. Let's break down the simplification process step-by-step:
Step 1: Distribute the 6 to the terms inside the parentheses.
6(3x − 2) = 6 * 3x − 6 * 2
= 18x − 12
Step 2: Rewrite the expression after distribution:
12 + 18x − 12
Step 3: Combine the constant terms (12 and -12) since they cancel each other out:
12 − 12 = 0
Step 4: Simplify the expression by combining the remaining like terms:
0 + 18x = 18x
Therefore, the simplified expression is 18x.
The correct statements when simplifying this expression are:
1. Distribute 6 to the terms inside the parentheses: 6(3x − 2) = 18x − 12.
2. Simplify the expression by combining the constant terms: 12 − 12 = 0.
3. Combine the remaining like terms: 0 + 18x = 18x.
So, the two correct statements are statements 1 and 3.
To simplify the expression 12 + 6(3x - 2), we can distribute the 6 into the parentheses, and then combine like terms.
Step 1: Distribute the 6
12 + 6(3x - 2) becomes 12 + 18x - 12.
Step 2: Combine like terms
We can combine the constants (12 and -12) to get 0, leaving us with 18x.
Thus, the simplified expression is 18x.
As for the two correct statements, here's a breakdown:
Statement 1: The coefficient of x is 18.
This statement is correct since after simplification, we only have the term 18x remaining, where x has a coefficient of 18.
Statement 2: The constant term is 0.
This statement is also correct because after combining the constants, we end up with 0 as the constant term in the simplified expression.
Therefore, the two correct statements when simplifying the expression 12 + 6(3x - 2) are:
1. The coefficient of x is 18.
2. The constant term is 0.