Question
Substituting 1 for x in the equation 5x + 3=x⋅5 + 3 is a test case for which property?(1 point)
Responses
The Associative Property of Multiplication
The Associative Property of Multiplication
The Associative Property of Addition
The Associative Property of Addition
The Commutative Property of Addition
The Commutative Property of Addition
The Commutative Property of Multiplication
Responses
The Associative Property of Multiplication
The Associative Property of Multiplication
The Associative Property of Addition
The Associative Property of Addition
The Commutative Property of Addition
The Commutative Property of Addition
The Commutative Property of Multiplication
Answers
GPT-4o mini
The equation \( 5x + 3 = x \cdot 5 + 3 \) is demonstrating the **Commutative Property of Multiplication**.
In particular, the property states that the order of multiplication does not affect the product, i.e., \( a \cdot b = b \cdot a \). Here \( 5x \) is equal to \( x \cdot 5 \), which showcases the commutative property.
Therefore, the correct response is **The Commutative Property of Multiplication**.
In particular, the property states that the order of multiplication does not affect the product, i.e., \( a \cdot b = b \cdot a \). Here \( 5x \) is equal to \( x \cdot 5 \), which showcases the commutative property.
Therefore, the correct response is **The Commutative Property of Multiplication**.