Question

(07.02 MC)

An equation is shown below:

4(2x − 3) = 4

Part A: How many solutions does this equation have? (4 points)

Part B: What are the solutions to this equation? Show your work. (6 points)

Answer 1

Because the degree of this polynomial is 1, we know that there is going to be one solution as per the fundamental theorem of algebra.

We can expand this using the distributive property.

4(2x - 3) = 4

Distributive property.

8x - 12 = 4

Add 12 to both sides.

8x = 16

Divide both sides by 8.

x = 2

The value of x is equal to 2.