Question

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

The Commutative Property of Addition
The Commutative Property of Addition

The Associative Property of Multiplication
The Associative Property of Multiplication

The Associative Property of Addition
The Associative Property of Addition

The Commutative Property of Multiplication
The Commutative Property of Multiplication

Answer 1

The equation you provided is \( 5x + 3 = x \cdot 5 + 3 \). By substituting \( x = 1 \), we are testing whether both sides of the equation yield the same result.

This equation demonstrates the **Commutative Property of Multiplication**, which states that changing the order of the factors does not change the product (i.e., \( a \cdot b = b \cdot a \)). In this case, \( 5x \) can be rewritten as \( x \cdot 5 \).

Therefore, the correct response is:

**The Commutative Property of Multiplication**.