Substituting 1 for x in the equation 5x + 3=x⋅5 + 3 is a test case for which property?(1 point)

Responses

The Commutative Property of Multiplication
The Commutative Property of Multiplication
The Associative Property of Addition
The Associative Property of Addition
The Commutative Property of Addition
The Commutative Property of Addition
The Associative Property of Multiplication

1 answer

Substituting 1 for \( x \) in the equation \( 5x + 3 = x \cdot 5 + 3 \) is a test case for the Commutative Property of Multiplication.

The Commutative Property states that changing the order of the numbers in a multiplication operation does not change the product (i.e., \( a \cdot b = b \cdot a \)). In this case, \( 5x \) is rearranged as \( x \cdot 5 \).

So, the answer is:

The Commutative Property of Multiplication.