2. Absolute Value 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. -5 -4 -3 -2 -1 0 1 2 3 4 5 | | | 4 units That was easy

3. Solving Absolute Value Equations or That was easy

4. More Absolute Value Equations Asi de Facil

5. Absolute Value Equation Word Problem I knew this was coming. 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? or Betty is 40 feet from Gertrude at 3 seconds and at 7 seconds. Asi de Facil | | | 40 feet

6. Practice Problems That was easy

7. Homework Page 211: 10 – 30 Even Numbers Page 212: 63

8. Absolute Value Inequalities That means the distance from zero is less than 2 units. -2 0 2 That means the distance from zero is more than 2 units. x is between the points. -2 0 2 x is split on either side of the points. If then Between If then or Split

9. 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. -3 4 That was easy

10. Absolute Value Inequalities with Greater Than Greater than means split Remove the absolute value symbol and write the equation according to the rules. Graph your solution on a number line. -2 3 Solve both inequalities. That was easy

11. More Absolute Value Inequalities -6 0 2 3 6 -8 -4 -1 0 4 That was easy Asi de facil

12. Homework Page 211: 32 – 46 Even Numbers

13. Solving Absolute Value Inequalities That was easy

14. Absolute Value 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. Let x = actual weight I’d rather stick a pencil in my eye than try to solve this equation. Don’t do that. Let me show you how easy it is. The chips can weigh between 8.7 ounces and 8.8 ounces. That was easy

15. Another Absolute Value 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. Let me get my pencil ready. Don’t do that. Let me show you how easy it is. At least 36%, but not more than 40% will vote for Stella. Asi de facil

16. Yet Another Absolute Value 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. They manufacture between 109 and 161 cars a day. That was easy

17. Homework Page 212: 68, 69(a only), 70, 75, 76