Question

1. which property of equality would be used to solve the equation \\(\frac{x}{4} = 12\\)?

a) multiplication property of equality

b) division property of equality

c) addition property of equality

d) subtraction property of equality

Explanation:

To solve \(\frac{x}{4}=12\), we need to isolate \(x\). The Multiplication Property of Equality states that if we multiply both sides of an equation by the same non - zero number, the equation remains true. Here, we multiply both sides by 4 (since \(x\) is divided by 4) to get \(x = 12\times4\). The Division Property of Equality is for dividing both sides, the Addition Property is for adding the same number to both sides, and the Subtraction Property is for subtracting the same number from both sides. None of these other properties are used here.

Answer:

A) Multiplication Property of Equality