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

The Associative Property of Addition
The Associative Property of Multiplication
The Communitive Property of Addition
The Communitve Property of Multiplication

1 answer

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

The equation highlights that the multiplication of \( x \) by 5 can happen in either order without changing the result, which is represented as \( 5 \times x = x \times 5 \). However, since both forms in this equation (i.e., \( 5x \) and \( x \times 5 \)) yield the same outcome, you are testing the property that allows the order of multiplication to be switched without affecting the equality of the equation.