1. Unit One obj. solve abs.val.
Section 1-6 Absolute Value
Unit One obj. solve abs.val.

2. This is asking how far away from 0 is 5 & -5 on the number line
In this lesson you will write and solve equations and inequalities involving absolute value.
Absolute Value is the distance a number is from zero on a number line.
This is asking how far away from 0 is 5 & -5 on the number line 5 4 3 2 1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5
Absolute value equation can have two answers, because opposites have the same absolute value.

3. Solving absolute value
The value inside the absolute value can equal 15 or -15
What does x equal??

4. Solving an Absolute Value Equation
Ex)
STEPS to solving Abs. Val. Equation
Get the absolute value alone
Rewrite as two equations
Solve
check
Solving absolute value equation 6:00 video 1 ex) 1 try)

5. Solving an Absolute Value Equation
Check each solution…
An extraneous solution is a solution that does not work out when checked in the original problem.
Since -3 does not work it is an extraneous solution. The only solution is -1

6. Practice solving Absolute value equations:
Worksheet Practice C – #1,2,5,6
Pg 46 #11-23 odd
Reduce practice problems to allow for enough time

7. STEPS to solving Abs. Val. inequality
Solving an Absolute Value Inequality
STEPS to solving Abs. Val. inequality \
Get the absolute value alone
Rewrite as two inequalities(flip inequality sign)
Solve
graph
Solving absolute value inequality “OR” 6:30 video 1ex) 1try)
AND b/c inequality sign was < -2 3

8. GreatOR LessthAND
Most of the time the original inequality sign will tell you what the graph should look like

9. Practice
Worksheet Practice D- #1,2,5,6

10. Practice Standard Pg. 46 #25-35odd 43-81 Honors Pg. 46 #25-35odd 43-89
Standardized test prep: 90-93
Reduce number of practice problems

11. ANSWERS in back of book

12. Lesson quiz 1-6 1. Solve and graph /3x + 1 /= 8.
2. What is the solution of 3/ x - 7 / - 2 = 4?
3. What is the solution of / 2x + 1 / = 3x + 4?
4. Solve and graph / 4x + 1 / < 5.
5. Solve and graph / 3x - 2 / ≥ 7.
6. Do you UNDERSTAND? You order 1.5 pounds of turkey at
a deli. You will accept the turkey if its weight is between
1.54 and What absolute value inequality describes the
tolerance of the weight of the turkey?
Quiz answers
Lesson Quiz
Use Quiz as needed(optional)