1-5 Absolute Value Equations

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# 1-5 Absolute Value Equations - PowerPoint PPT Presentation

1-5 Absolute Value Equations. Objectives: To solve absolute value equations. Absolute Value. What is the definition of absolute value??? Distance from zero, so it’s always _________ How many numbers are the same distance from zero? So every absolute value equation has two answers except….

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## PowerPoint Slideshow about '1-5 Absolute Value Equations' - ingrid-palmer

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### 1-5 Absolute Value Equations

Objectives:

To solve absolute value equations

Absolute Value
• What is the definition of absolute value???
• Distance from zero, so it’s always _________
• How many numbers are the same distance from zero?
• So every absolute value equation has two answers except…
Solving Equations with Absolute Values
• Isolate the absolute value (get rid of outside numbers)
• Split into two equations without the absolute value symbols
• Solve the equations

2|3x +4| - 3 = 7

Examples
• 3|5x + 6|-7 = 2 2. 8 + 5|6 - 2y| = 68
Question
• Is there a solution to 2|x| = -14?
• So if an absolute value equals a negative number, there is no solution.
Definition
• Extraneous Solution: a solution derived from a an original equation that is not a solution of the original equation.
• It doesn’t work when you plug it in.
Variables on both sides

Solve and check for extraneous solutions.

|2x + 3| = 3x + 2

Examples

|3x – 4| = –4x – 1 6|2x + 5| = 6x + 24

Example

⅔|3x – 6| = 4(x – 2)

Homework

Page 36, #1-15 odd, 35-43odd, 61,62