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
1) 6 & ) 7 & -7
5) 3 & ) 0 & 4
Pg 46 #11-23 odd
ANSWERS:
ANSWERS:
ANSWERS:
ANSWERS:
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
1) y < 0 AND y > -6 2) t ≤ 4 AND t ≥ -1
5) x ≤ ½ and x ≥ -1 6) z > 2 OR z < -2/3
ANSWERS:
ANSWERS:
ANSWERS:
ANSWERS:

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. LITERAL EQUATIONS
Define: literal equation – a literal equation is an equation that uses at least two different variables.
Example solve for the indicated variable
Circumference of a circle:
Perimeter of rectangle:
answer
answer
What is the length of a rectangle with a perimeter of 30ft and the width is 7ft.
Distance = rate * time
answer
If you need to travel 500 miles in 8 hours, what rate should you maintain?

12. Practice B- #1-4
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1) 2)
3) 4)
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13. Fahrenheit = F and Celsius = C.
Example:
Fahrenheit = F and Celsius = C.
Describe what the formula does. (what’s the input?)
Finds Temperature in Celsius given Degrees Fahrenheit. (input is F & output is C)
What is F in terms of C? (in other words solve the function for F)
What dos this new formula do? (what’s the input?)
Answer

14. Practice F #1-3 1) x=7 2) max: 16.02 3) 513 miles (513.66….)
Answers
1) x=7
2) max: 16.02
Min: 15.98
3) 513 miles (513.66….)
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15. Word problems
Ex: A manufacturer has a 0.6 oz tolerance for a bottle of salad dressing advertised as 16oz. Write and solve an absolute value inequality that describes the acceptable volumes for “16oz” bottles.
What does this mean?
If you buy a bottle of 16oz dressing, you might get one that actually has 15.4 to 16.6oz instead.

16. Ex: A manufacturer has a tolerance of 0
Ex: A manufacturer has a tolerance of 0.36 lb for a bag of potting soil advertised as 9.6 lb. Write and solve an absolute value inequality that describes acceptable weights for “9.6 lb” bags.
W ≤ or w ≥ -0.36
W ≤ or w ≥ 9.24
What does this mean?

17. Practice F #4 & 6 4) 6)
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