Question
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
The Associative Property of Addition
The Associative Property of Multiplication
The Communitive Property of Addition
The Communitve Property of Multiplication
Answers
GPT-4o mini
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.
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.