Next
Equations with Two Absolute Values
Objective: Solve absolute value equations that contain two absolute values.
Next
Recall
- Solve Absolute Value Equations
Solve: |x+1| = 11
Step 1: Isolate the absolute value.Step 2: Split into +/- cases. Step 3: Solve each case. Step 4: Check Solutions.
Next
Recall
- DISTRIBUTING NEGATIVE ONE
Simplify: -(5x - 8)
Next
Follow the same steps!
When you have two absolute values
|4x - 15| = |x|
Step 1: Isolate the absolute values as much as possible. Step 2: Split into +/- cases. Step 3: Solve each case. Step 4: Check Solutions.
NOTE! Be careful distributing the negative to your (-) case.
Next
Follow the same steps!
When you have two absolute values
4|p - 3|= |2p+3|
Step 1: Isolate the absolute values as much as possible. Step 2: Split into +/- cases. Step 3: Solve each case. Step 4: Check Solutions.
NOTE! Be careful distributing the negative to you (-) case.
3|x - 4| = |2x + 5|
Next
3|x - 4| = |2x + 5|
Next
3|x - 4| = |2x + 5|3(x-4) = 2x + 5 3(x-4) = -(2x+5)
Next
3|x - 4| = |2x + 5|3(x-4) = 2x + 5 3(x-4) = -(2x+5) 3x - 12 = 2x + 5 3x - 12 = -2x - 5
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Find my Mistake!
Send me a direct chat!
5|2x - 8| = |5x + 7| 5(2x-8) = 5x + 7 and 5(2x - 8) = -(5x + 7) 10x - 40 = 5x + 7 and 10x - 40 = -5x + 7
-5x -5x +5x +5x
5x - 40 = 7 and 15x - 40 = 7
+40 +40 +40 +40
5x = 47 and 15x = 47 x = 47/5 x = 47/15
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Brain Break!
BONUS POINTS FOR ANYONE WHO EDIO CHATS ME THE CORRECT SOLUTION TO THE 'Find my Mistake' PROBLEM ON THE PREVIOUS PAGE!
Next
Next
Breakouts!
Work together to complete the activity on the next page. Match the equation to its solutions. Be ready to report your success!
Match the equation with its Solution!
Next
Next
Zoom Poll!
Rememberto do your CFU!
More
Abs Val Eqns 2 - both sides
HS: High School
Created on May 20, 2024
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Transcript
Next
Equations with Two Absolute Values
Objective: Solve absolute value equations that contain two absolute values.
Next
Recall
- Solve Absolute Value Equations
Solve: |x+1| = 11
Step 1: Isolate the absolute value.Step 2: Split into +/- cases. Step 3: Solve each case. Step 4: Check Solutions.
Next
Recall
- DISTRIBUTING NEGATIVE ONE
Simplify: -(5x - 8)
Next
Follow the same steps!
When you have two absolute values
|4x - 15| = |x|
Step 1: Isolate the absolute values as much as possible. Step 2: Split into +/- cases. Step 3: Solve each case. Step 4: Check Solutions.
NOTE! Be careful distributing the negative to your (-) case.
Next
Follow the same steps!
When you have two absolute values
4|p - 3|= |2p+3|
Step 1: Isolate the absolute values as much as possible. Step 2: Split into +/- cases. Step 3: Solve each case. Step 4: Check Solutions.
NOTE! Be careful distributing the negative to you (-) case.
3|x - 4| = |2x + 5|
Next
3|x - 4| = |2x + 5|
Next
3|x - 4| = |2x + 5|3(x-4) = 2x + 5 3(x-4) = -(2x+5)
Next
3|x - 4| = |2x + 5|3(x-4) = 2x + 5 3(x-4) = -(2x+5) 3x - 12 = 2x + 5 3x - 12 = -2x - 5
Next
Find my Mistake!
Send me a direct chat!
5|2x - 8| = |5x + 7| 5(2x-8) = 5x + 7 and 5(2x - 8) = -(5x + 7) 10x - 40 = 5x + 7 and 10x - 40 = -5x + 7
-5x -5x +5x +5x
5x - 40 = 7 and 15x - 40 = 7
+40 +40 +40 +40
5x = 47 and 15x = 47 x = 47/5 x = 47/15
Next
Brain Break!
BONUS POINTS FOR ANYONE WHO EDIO CHATS ME THE CORRECT SOLUTION TO THE 'Find my Mistake' PROBLEM ON THE PREVIOUS PAGE!
Next
Next
Breakouts!
Work together to complete the activity on the next page. Match the equation to its solutions. Be ready to report your success!
Match the equation with its Solution!
Next
Next
Zoom Poll!
Rememberto do your CFU!
More