Question

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

A. The Commutative Property of Addition
B. The Associative Property of Multiplication
C. The Commutative Property of Multiplication
D. The Associative Property of Addition

Answer 1

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

If we substitute \( x = 1 \), we get:

Left side:
\[ 5(1) + 3 = 5 + 3 = 8 \]

Right side:
\[ 1 \cdot 5 + 3 = 5 + 3 = 8 \]

Both sides equal 8, showing that the equation holds true for \( x = 1 \).

This equation essentially demonstrates that \( 5x \) is the same as \( x \cdot 5 \), which represents a property of multiplication where the order of factors does not change the product. This is known as the **Commutative Property of Multiplication**.

Therefore, the answer is:

**C. The Commutative Property of Multiplication**.