1. Absolute Value That was easy
The absolute value of a number is its distance from 0 on a number line. Absolute value is always nonnegative since distance is always nonnegative.
Let’s write an example using mathematical symbols.
Now let’s see what that looks like on a number line.
4 units
4 units
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That was easy

2. Solving Absolute Value Equations
That was easy or or

3. More Absolute Value Equations
Asi de Facil

4. Practice Problems
That was easy

5. Homework
Page 211: 10 – 30 Even Numbers

6. Absolute Value Inequalities
That means the distance from zero is more than 2 units.
That means the distance from zero is less than 2 units.
x is between the points.
x is split on either side of the points.
then
then If If or
Between
Split

7. Absolute Value Inequalities with Less Than
Less than means between
Remove the absolute value symbol and write the equation according to the rules.
Solve both sides of the inequality at the same time.
Graph your solution on a number line.
That was easy

8. Absolute Value Inequalities with Greater Than
Greater than means split
Remove the absolute value symbol and write the equation according to the rules.
Solve both inequalities.
Graph your solution on a number line.
That was easy

9. More Absolute Value Inequalities
That was easy
Asi de facil

10. Homework
Page 211: 32 – 46 Even Numbers

11. Absolute Value Equation Word Problem
Gertrude is sitting on a bench. From 100 feet away, Betty rides her bike toward her and then passes her. Betty rides at a constant speed of 20 feet per second. Her distance d from Gertrude in feet after t seconds is given by the following equation.
At what times is Betty 40 feet from Gertrude?
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40 feet
40 feet
Asi de Facil or
I knew this was coming.
Betty is 40 feet from Gertrude at 3 seconds and at 7 seconds.

12. Absolute Value Inequality Word Problem
The ideal weight of a bag of chips is 8.75 ounces. The actual weight may vary from the ideal weight by at most 0.05 ounces. Find the range of acceptable weights for a bag of chips.
I’d rather stick a pencil in my eye than try to solve this equation.
Let x = actual weight
Don’t do that. Let me show you how easy it is.
That was easy
The chips can weigh between 8.7 ounces and 8.8 ounces.

13. Another Absolute Value Inequality Word Problem
In a poll for an upcoming mayoral election, 38% of voters say they would vote for Stella Studebaker. The poll has a margin of error of plus or minus 2 percentage points. Use the following inequality to find the least and greatest percent of voters, v, that will vote for Stella.
Don’t do that. Let me show you how easy it is.
Let me get my pencil ready.
Asi de facil
At least 36%, but not more than 40% will vote for Stella.

14. Yet Another Absolute Value Inequality Word Problem
A car manufacturer aims to manufacture 135 cars a day. The ideal number of cars manufactured can vary by up to 26 cars a day. What are the minimum and maximum number of cars that can be manufactured in a day?
Let x = ideal number of cars
I might be sticking my pencil in my eye after all.
Don’t do that. Let me show you how easy it is.
That was easy
They manufacture between 109 and 161 cars a day.

15. Homework
Page 212: 63, 68, 70, 75, 76