1. Solve Absolute Value Equations and Inequalities
Lesson 1.7
Solve Absolute Value Equations and Inequalities

2. Objective
Solve absolute value equations and inequalities

3. Standard 1.0
Students will solve equations and inequalities involving absolute value

4. Absolute value
A number x written , is the distance the number is from 0 on the number line
Question
What numbers are 1 unit from 0 on the number line?
What numbers are 1 unit from 5 on the number line?

5. Solving Absolute value equations
Examples

6. Where c>0 Step 1: Write two equations: ax + b = -c or ax + b = c
Step 2: Solve each equation
Step 3: Check each solution in the original equation

7. Indy Practice

8. Compound Absolute Value Inequalities

9. How do you remember And/OR?
Greater than
mORe than
Less than
Less thAND

10. Example

11. Indy Practice

12. Welcome to the Real World
A professional baseball should weigh ounces, with a tolerance of ounce. Write and solve an absolute value inequality that describes the acceptable weights for the ball
Actual Weight - Ideal Weight ≤ Tolerance

13. Homework
p.55 #3, 7, 20, 30, 38, 56, 81