Question
Substituting 1 for x in the equation 5x + 3=x⋅5 + 3 is a test case for which property?(1 point)
Responses
The Associative Property of Multiplication
The Associative Property of Multiplication
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
Responses
The Associative Property of Multiplication
The Associative Property of Multiplication
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
Answers
GPT-4o mini
The equation \(5x + 3 = x \cdot 5 + 3\) can be analyzed by substituting \(x = 1\):
1. Substituting \(x = 1\) into the left side: \(5(1) + 3 = 5 + 3 = 8\).
2. Substituting \(x = 1\) into the right side: \(1 \cdot 5 + 3 = 5 + 3 = 8\).
Both sides equal 8, verifying that the equation holds true for \(x = 1\).
This equation demonstrates the **Commutative Property of Multiplication** because it shows that the order of multiplication does not affect the result (\(5x = x \cdot 5\)).
Therefore, the correct answer is:
**The Commutative Property of Multiplication**.
1. Substituting \(x = 1\) into the left side: \(5(1) + 3 = 5 + 3 = 8\).
2. Substituting \(x = 1\) into the right side: \(1 \cdot 5 + 3 = 5 + 3 = 8\).
Both sides equal 8, verifying that the equation holds true for \(x = 1\).
This equation demonstrates the **Commutative Property of Multiplication** because it shows that the order of multiplication does not affect the result (\(5x = x \cdot 5\)).
Therefore, the correct answer is:
**The Commutative Property of Multiplication**.