Question

What is the solution set for |-4x - 8| = 4?
Answer

x = 3 and x = 1

x = 3 and x = -1

x = -3 and x = 1

x = -3 and x = -1



On the graph of the equation 3x - 2y = -18, what is the value of the y-intercept?
Answer

-9

-6

6

9

Answer 1

Best to post one question at a time . . .

For the first, consider that absolute value will make whatever is within positive, so you have to consider the positive case and the negative case.

Answer 2

My apologies.....

Answer 3

My answer to the first is D

Answer 4

Easy way to do this is to split it into two separate equations:

\[\large |-4x - 8| = 4 \rightarrow -4x-8 = 4; -4x-8 = -4\]

Answer 5

{-3, -1} seem to work. It's a good habit to check the solutions with the original equation to make sure both are valid.

Answer 6

For 3x - 2y = -18
This is a linear equation in standard form, Ax+By=C
The x-intercept is at C/A, and the y-intercept is at C/B.

Answer 7

I understand thus far