Question

How are algebraic properties applied to the steps to solve the equations and solve (1/2)x + 4 = 12?

A) Add 4 to both sides
B) Subtract 4 from both sides
C) Multiply by 2
D) Divide by 2

Answer 1

To solve the equation (1/2)x + 4 = 12, first subtract 4 from both sides. Then, multiply both sides by 2 to eliminate the fraction. The solution to the equation is x = 16.

Step-by-step explanation:

To solve the equation (1/2)x + 4 = 12, we need to apply algebraic properties to simplify and isolate the variable x. Here are the steps:

1. Subtract 4 from both sides: (1/2)x + 4 - 4 = 12 - 4
2. The +4 and -4 on the left side cancel out, leaving us with (1/2)x = 8
3. Multiply both sides by 2 to eliminate the fraction: (1/2)x * 2 = 8 * 2
4. The (1/2) and 2 on the left side cancel out, giving us x = 16

The solution to the equation is x = 16.