Copy - Copy - Abs Val Eqns 2 - both sides

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Objective: Solve absolute value equations that contain two absolute values.

Equations with Two Absolute Values

Step 1: Isolate the absolute value.Step 2: Split into +/- cases.Step 3: Solve each case.Step 4: Check Solutions.

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- Solve Absolute Value Equations

Solve: |x+1| = 11

Recall

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- DISTRIBUTING NEGATIVE ONE

Simplify: -(5x - 8)

Recall

|4x - 15| = |x|

NOTE! Be careful distributing the negative to you (-) case.

Step 1: Isolate the absolute values as much as possible.Step 2: Split into +/- cases. Step 3: Solve each case.Step 4: Check Solutions.

Follow the same steps!

When you have two absolute values

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4|p - 3|= |2p+3|

NOTE! Be careful distributing the negative to you (-) case.

Step 1: Isolate the absolute values as much as possible.Step 2: Split into +/- cases. Step 3: Solve each case.Step 4: Check Solutions.

Follow the same steps!

When you have two absolute values

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3|x - 4| = |2x + 5|

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3|x - 4| = |2x + 5|

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3|x - 4| = |2x + 5|3(x-4) = 2x + 5 and 3(x-4) = -(2x+5)

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3|x - 4| = |2x + 5|3(x-4) = 2x + 5 and 3(x-4) = -(2x+5)3x - 12 = 2x + 5 and 3x - 12 = -2x - 5

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Send me a direct chat!

5x = 47 and 15x = 47 x = 47/5 x = 47/15

+40 +40 +40 +40

5x - 40 = 7 and 15x - 40 = 7

-5x -5x +5x +5x

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

Find my Mistake!

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BONUS POINTS FOR ANYONE WHO EDIO CHATS ME THE CORRECT SOLUTION TO THE 'Find my Mistake' PROBLEM ON THE PREVIOUS PAGE!

Brain Break!

Work together to complete the activityon the next page.Match the equation to its solutions.Be ready to reportyour success!

Breakouts!

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Match the equation with its Solution!

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Zoom Poll!

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Rememberto do your CFU!