Notes #6
Solve Absolute Value Equations
Solve Absolute Value Equations
(Section 1‐7)
Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Absolute Value: the distance from zero. Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Decide whether the number is a solution to the equation.
E
Example 1
l 1
Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Decide whether the number is a solution to the equation.
E
Example 2
l 2
Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Solving Absolute Value Equations
•Split into a _____________ expression and a _______________ expression
 Remember that an absolute value cannot equal a ______________ sign!
Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Solve the equation. Graph the solution.
Example 3
Example 3 |  3 | = 6
|x
3| 6
Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Solve the equation. Graph the solution.
Example 4
Example 4 |x  5 | = 7
5|=7
Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Solve the equation.
E
Example 5
l 5
Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Solve the equation.
E
Example 6
l 6
Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Solve the equation.
E
Example 7
l 7
|2 10| = ‐3
|2x –
10| 3
Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Solve the equation.
E
Example 8
l 8
Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Solve the equation. Check for extraneous solutions.
Example 9
Example 9
Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Solve the equation. Check for extraneous solutions.
Example 10
Example 10 Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Solve the equation. Check for extraneous solutions.
Example 11
Example 11 Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Solve the equation. Check for extraneous solutions.
Example 12
Example 12 5|4
5|4w –
1| 5
1| = 5w + 40 40
Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Solve the equation. Check for extraneous solutions.
Example 13
Example 13 |4 + 10 | = 6x |4x
10 | 6
Standard 1.0
Essential Question: How are absolute value equations like linear equations?
Solve the equation. Check for extraneous solutions.
Example 14
Example 14 |8 | 2 3
|8 + p| = 2p –
Standard 1.0
Essential Question: How are absolute value equations like linear equations?
HW #7 pg 55 (1, 2, 3‐39 odd)
Standard 1.0
Essential Question: How are absolute value equations like linear equations?