Difference between revisions of "008A Sample Final A, Question 7"

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(Created page with "'''Question:''' Solve <math>2\vert 3x-4\vert -7 = 7</math> {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations |- |1) How do we get to the first ke...")
 
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|1) How do we get to the first key step in solving any function involving absolute value equations?
 
|1) How do we get to the first key step in solving any function involving absolute value equations?
 
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|2) How do we solve absolute value equations?
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|2) After this first key step how do we finish solving absolute value equations?
 
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|Answer:
 
|Answer:
 
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|1) We isolate everything inside of the absolute value signs.
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|1) We isolate the absolute value sign, so in this case we isolate <math>\vert 3x - 4\vert</math>.
 
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|2) We create two equations based on whether the expression inside the absolute value is positive or negative.
 
|2) We create two equations based on whether the expression inside the absolute value is positive or negative.

Revision as of 12:30, 23 May 2015

Question: Solve

Foundations
1) How do we get to the first key step in solving any function involving absolute value equations?
2) After this first key step how do we finish solving absolute value equations?
Answer:
1) We isolate the absolute value sign, so in this case we isolate .
2) We create two equations based on whether the expression inside the absolute value is positive or negative.
Then we solve both equations.

Solution:

Step 1:
Isolate the absolute values. First by adding 7 to both sides, then dividing both sides by 2.
This leads to
Step 2:
Now we create two equations: and .
Step 3:
Now we solve both equations. The first leads to the solution . The second leads to
Final Solution:

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