1. Solving absolute value equations
Lesson 74
Solving absolute value equations

2. Absolute value The absolute value of a number is never negative
The absolute value of a number n is the distance from n to 0 on a number line
An equation that has one or more absolute value expressions is called an absolute value equation.
Except for 0, there are always 2 points on a number line with the same absolute value
The absolute value of a number is never negative

3. Absolute value
then x = 5 or x = -5
Solution set = 5, -5

4. Solving equations with absolute value,
then (x+2) =6 or (x+2)=-6
x+2 = x+2= -6
x= x = -8
Solution set is 4 and -8

5. solve

6. Isolating the absolute value
Solve

7. solve

8. Be careful!!!!
The absolute value should not be treated like parentheses

9. Solving special cases 1) when absolute value is equal to 0
there will only be 1 solution
2) when absolute value is equal to a negative number
there is no solution

10. solve

11. solve
Absolute value is a distance from 0, so it cannot be equal to a negative number. There is no solution

12. solve