Are the following expressions equivalent? Prove your answer:
8 (2z-3) and 16z-3
No.
8 (2z-3) = 16z - 24
Thank u so much Ms. Sue
You're welcome, Amy.
To determine if the expressions 8(2z-3) and 16z-3 are equivalent, we need to simplify both expressions and compare the results.
Let's start with the first expression, 8(2z-3):
Step 1: Apply the distributive property by multiplying 8 with each term inside the parentheses, which is 2z and -3.
8 * 2z = 16z
8 * -3 = -24
So, 8(2z-3) simplifies to 16z - 24.
Now, let's simplify the second expression, 16z-3.
There are no further simplifications we can do for this expression.
Comparing the simplified forms, we have:
8(2z-3) = 16z - 24
16z-3 = 16z - 3
Since the constant terms are different (-24 and -3), we can see that the two expressions are not equivalent.
Therefore, the expressions 8(2z-3) and 16z-3 are not equivalent.