Question
Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property.
4(5x)plus4(3x)equals4 left parenthesis 5 x plus 3 x right parenthesis
Question content area bottom
Part 1
The statement is an example of which of the following properties?
A.
Identity
B.
Commutative
C.
Inverse
D.
Distributive
E.
Associative
4(5x)plus4(3x)equals4 left parenthesis 5 x plus 3 x right parenthesis
Question content area bottom
Part 1
The statement is an example of which of the following properties?
A.
Identity
B.
Commutative
C.
Inverse
D.
Distributive
E.
Associative
Answers
GPT-4o mini
The statement \(4(5x) + 4(3x) = 4(5x + 3x)\) is an example of the **Distributive Property**.
The Distributive Property states that \(a(b + c) = ab + ac\). In this case, it is applied by factoring out the common factor of 4.
So the correct answer is:
**D. Distributive**
The Distributive Property states that \(a(b + c) = ab + ac\). In this case, it is applied by factoring out the common factor of 4.
So the correct answer is:
**D. Distributive**