

6.5 & 6.6 Solving more advanced equations/inequalities
Presentation
•
Mathematics
•
8th - 9th Grade
•
Easy
Stephanie Parisi
Used 12+ times
FREE Resource
13 Slides • 25 Questions
1
6.5 & 6.6 Isolating the absolute value bars
2
Let's remind ourselves how to solve first
Where is the variable: left, right or both sides?
Look to add or subtract a constant.
Look to divide or multiply by the number attached to the variable.
3
What are the steps here to solve?
Variable is on the left side.
Subtract 2 from both sides
Divide by 3 on both sides.
4
What are the steps here to solve?
Variable is on the right side.
Nothing to add or subtract.
Divide by 2 on each side.
5
What are the steps here to solve?
Subtract 2.
Divide by -3
6
What are the steps here to solve?
Add 3.
Divide by 5.
7
Open Ended
What are the steps to solve the following inequality?
x - 5 < 6
8
Open Ended
What are the steps to solve the following equation?
1 = x + 6
9
Open Ended
What are the steps to solve the following inequality?
28 > 14 + x
10
Open Ended
What are the steps to solve the following equation?
2x - 5 = 61
11
Open Ended
What are the steps to solve the following equation?
8 = 2x - 8
12
Open Ended
What are the steps to solve the following inequality?
6 - 2x > 12
13
Open Ended
What are the steps to solve the following equation?
5x - 3 = 19
14
Open Ended
What are the steps to solve the following equation?
2x = 90
15
Open Ended
What are the steps to solve the following inequality?
17 > 3 + 2x
16
What's different about solving absolute value inequalities/equations when the bars aren't ISOLATED?
What does it mean to be isolated?
17
What does it mean to be isolated?
By yourself
Alone
"Quarantined"
18
Let's talk about what it means to be isolated in math.
Our goal is usually to isolate the variable.
But what if the variable is stuck inside absolute value bars??
Then we need to isolate the bars FIRST!!
19
Multiple Choice
Are the bars isolated?
2|x+1|< 12
no
yes
20
Multiple Choice
Are the bars isolated?
|x - 1| - 12 = 24
no
yes
21
Multiple Choice
Are the bars isolated?
|x + 2| > 12
no
yes
22
Multiple Choice
Are the bars isolated?
|x| + 4 = 13
no
yes
23
Multiple Choice
Are the bars isolated?
|x + 3| > 41
no
yes
24
Let's talk about the setup
You've got the values inside the bars.
And you've got TWO "guards" outside the bars.
You'll have to add/subtract one guard.
And you'll have to divide/multiply the other guard,
25
What are the steps to isolate the bars?
Subtract 5.
Divide by 3.
Now the bars are isolated!
26
What are the steps to isolate the bars?
Subtract 5.
Now the bars are isolated!
27
What are the steps to isolate the bars?
Divide by 3.
Now the bars are isolated!
28
Open Ended
What are the steps to isolate the bars?
12 |x + 2| - 1 < 4
29
Open Ended
What are the steps to isolate the bars?
2 |x+1| + 4 = 5
30
Open Ended
What are the steps to isolate the bars?
|x - 4| + 9 = 18
31
Open Ended
What are the steps to isolate the bars?
-2|x + 3| = 20
32
Open Ended
What are the steps to isolate the bars?
3|x - 4| < 21
33
Open Ended
What are the steps to isolate the bars?
|x + 4| - 9 = 0
34
Open Ended
What are the steps to isolate the bars?
2 |x| - 1 = 10
35
Multiple Choice
Which step would you do first?
2|x - 4| < 12
subtract 2
divide by 2
add 4
36
Multiple Choice
Which step would you do first?
2|x| - 3 = 12
distribute
add 3
37
Multiple Choice
Which step would you do first?
-2|x + 1| + 9 = -34
add 2
subtract 9
add 34
38
Multiple Choice
Which step would you do first?
-2|x + 1| + 9 = -34
add 2
subtract 9
add 34
6.5 & 6.6 Isolating the absolute value bars
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