I need some help with this
It is given that 2(3 + x) = 6 + 2x. This is an example of the ___________ property.
A) associative
B) commutative
C) distributive
D) identity
plz type the answer asap like by 7:50 or else I'm a dead man.
distributive
A quick check with your notes or textbook would have shown this to be a clear case of the
distributive property.
The given equation 2(3 + x) = 6 + 2x is an example of the distributive property.
To solve this equation step-by-step:
1) Distribute the 2 to the terms inside the parentheses:
2 * 3 + 2 * x = 6 + 2x
2) Simplify by performing the multiplication:
6 + 2x = 6 + 2x
3) Notice that the variables and constants are the same on both sides of the equation.
Hence, the answer is:
C) distributive
To determine the property demonstrated in the given equation, let's simplify it step by step:
1. Start by distributing the 2 to both terms inside the parentheses:
2 * 3 + 2 * x = 6 + 2x
Simplifying further:
6 + 2x = 6 + 2x
2. Now, compare both sides of the equation. Here we can observe that both sides of the equation are identical.
Since both sides of the equation are equal, this is an example of the identity property.
Therefore, the answer is Option D) identity.