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 Addition
The Commutative Property of Addition

The Commutative Property of Multiplication
The Commutative Property of Multiplication

The Associative Property of Multiplication
The Associative Property of Multiplication

The Associative Property of Addition

1 answer

The equation \( 5x + 3 = x \cdot 5 + 3 \) reflects the Commutative Property of Multiplication.

The Commutative Property of Multiplication states that the order in which two numbers are multiplied does not change the product, i.e., \( a \cdot b = b \cdot a \). In this case, \( 5x \) can be rewritten as \( x \cdot 5 \), demonstrating that the multiplication operation is commutative.

Thus, substituting 1 for \( x \) tests whether the two expressions are equal when evaluating them, confirming that multiplication's order does not affect the outcome.

So, the correct response is:

The Commutative Property of Multiplication.