Hey guys, Jordan here!

Today we didnt do much in class. We started off by Mr.P saying he would give 20 Bonus Marks to who ever can tell him what the announcements were. No one could answer it.

The main thing we worked on today was solving equations with two absolute values.

Here's an example.

|x+4| = |x + 2| + 2


When answering these types of equations you are going to end up with four solutions. .

(Note: We should usually solve these types of equations in this order, + +, + -, - +, - -)

First we'll solve it when both absolute values are positive. (+ +)

|x+4| = |x + 2| + 2

First lets move all like terms to their appropriate side.

x - x = 2 + 2 + 4

Combine like terms.

0 = 0
x = 0

Now lets check if its right.

|(0) + 4| = |0 + 2| + 2

4 = 4

Our first solution is correct!

Now we continue solving until we have all possible answers.

Now lets do one positive, and the other negative. (+ -)

|x + 4| = -|x + 2| + 2

First we multiply the negative sign into the absolute value.

x + 4 = -x - 2 + 2

Move like terms to one side.

x + x = -4 - 2 + 2

Combine.

2x = -4

Divide 2 to both sides so X is by itself.

x = -2

Now lets check once more.

|(-2) + 4| = |(-2) + 2| + 2

|2| = |0| + 2

|2| = 2

Once again it is correct.

Try the rest on your own. (- +, - -)

When you are finished you should have these answers.
(- +)
x = -4, and when you check your answer you should get 0 = 0

(- -)
x = 4, and when you check your answer you should get 8 = 8

For homework Mr.P assigned us a worksheet titled Absolute Values Worksheet II