Which of these is equivalent to the following?
4(x – 2)
(1 point)
Responses
4x + 2
4x + 2
4x + 8
4x + 8
4x – 2
4x – 2
4x – 8
4x – 8
The correct answer is 4x - 8.
To simplify the expression 4(x - 2), we need to distribute the 4 to both terms inside the parentheses.
So, applying the distributive property, we get:
4 * x = 4x
4 * (-2) = -8
Therefore, 4(x - 2) simplifies to 4x - 8.
So, the equivalent expression is 4x - 8.
To simplify the expression 4(x – 2), you need to apply the distributive property. This property states that when you multiply a number by a sum or difference inside parentheses, you distribute that number to each term inside the parentheses. So, in this case, you need to multiply 4 to both x and -2.
Let's go through the process step by step:
1. Distribute 4 to both terms inside the parentheses:
4(x – 2) = 4 * x + 4 * (-2)
2. Simplify each term:
4 * x = 4x
4 * (-2) = -8
3. Combine the simplified terms:
4x - 8
Therefore, the expression 4(x – 2) is equivalent to 4x - 8.