Question

Substituting 1 for
x
in the equation
is a test case for which property?
(1 point)
5x + 3 = x ⋅ 5 + 3
The Commutative Property of Multiplication
The Associative Property of Addition
The Commutative Property of Addition
The Associative Property of Multiplication

Answer 1

The equation given is \(5x + 3 = x \cdot 5 + 3\).

When you substitute \(x = 1\) into the equation, you get:

1. Left Side: \(5(1) + 3 = 5 + 3 = 8\)
2. Right Side: \(1 \cdot 5 + 3 = 5 + 3 = 8\)

Both sides equal 8, which confirms the equality holds.

The property demonstrated here is essentially that the order of multiplication does not affect the result, meaning that \(5x\) is equal to \(x \cdot 5\). Therefore, this specifically tests the **Commutative Property of Multiplication**.

So, the answer is:

**The Commutative Property of Multiplication**.