Are the following expressions equivalent?
8(4x+2) and 32+16
(1 point)
Responses
Yes
Yes
No
No
No, the expressions 8(4x+2) and 32+16 are not equivalent.
To simplify 8(4x+2), you need to distribute the 8 to both terms inside the parentheses:
8(4x+2) = 32x + 16
So, 8(4x+2) simplifies to 32x + 16.
On the other hand, 32+16 simply equals 48.
Therefore, 8(4x+2) is equivalent to 32x + 16, while 32+16 is equal to 48.
No, the expressions 8(4x+2) and 32+16 are not equivalent.
To determine if two expressions are equivalent, we need to simplify them and see if they result in the same value.
Let's simplify each expression separately:
1. 8(4x+2)
Using the distributive property, we can multiply 8 by each term inside the parentheses.
8 * 4x = 32x
8 * 2 = 16
The expression becomes 32x + 16.
2. 32 + 16
We can simply add the numbers together.
32 + 16 = 48.
Therefore, 8(4x+2) simplifies to 32x + 16, which is not equal to 48. Hence, the expressions are not equivalent.