6.5

__**6.5** __
**Kiersten DePanfilis/ Per. 3** J **ABSOLUTE VALUE EQUATION:**

**Main ideas: T**he magnitude of a quantity, the distance of a quantity from zero. The absolute value of a number is symbolized by two vertical lines, as |5| or |−5| is equal to 5. **Problem #1:** **Solve: lxl=7** **-the distance between the x & 0 = 7**


 * ﻿ Solution: 7 & -7 **
 * Problem #2: **
 * lx-3l=8 **
 * -rewrite as two different equations **
 * Solution: ??? (solve for yourself) **
 * Solution: ??? (solve for yourself) **
 * Solution: ??? (solve for yourself) **

**//Bo Gregory//**
//**Main Idea: Absolute value does not have only negative numbers that's why we use both negative and positive numbers.**//
 * //6.5//**
 * //__ABSOLUTE VALUE EQUATION.__//**

Problem#1 //Solved//

4|t+9| -5=19

4|t+9|=24


 * t+9|=6

t+9=6 or t+9=-6

t=-3 or t=-15

Problem #2 //Unsolved//


 * r-7|=9

How to solve absolute value equations ! Katherine Delgado Period 6

Problem # 1 : lr-7l = 9 Add 7 to each side. r would equal 16. Answer : l16-7l=9

lr-7l = -9 <span style="color: #ff8300; font-family: Verdana,Geneva,sans-serif;">Add 7 to each side. <span style="color: #ff8300; font-family: Verdana,Geneva,sans-serif;">r would equal -2. <span style="color: #ff8300; font-family: Verdana,Geneva,sans-serif;">Answer : l-2-7l=-9

<span style="color: #ff8300; font-family: Verdana,Geneva,sans-serif;">Problem # 2 : lf-8l = 14

<span style="color: #800080; font-family: Verdana,Geneva,sans-serif;">Kiley Kreider <span style="color: #800080; font-family: Verdana,Geneva,sans-serif;">Period 7

<span style="color: #800080; font-family: Verdana,Geneva,sans-serif;">Solve Absolute Value Equations

<span style="color: #800080; font-family: Verdana,Geneva,sans-serif;">**Main Ideas:** The absolute value of a number is a written lal, is the distance between a and 0 on a number line. Basically the opposite of something.

**Problem #1:** l7l=7 l-7l=7
 * Solution: ** The distance between x and 0 is 7

**Problem #2:** lx-3l=8 x-3=8 +3 +3 x=11 **Solution:** Rewrite it without absolute value bars and solve for x.