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Absolute Value Equations Inequalities. What is Absolute Value?  The distance away from the origin (zero) on a number line.  Distances cannot be negative.

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Presentation on theme: "Absolute Value Equations Inequalities. What is Absolute Value?  The distance away from the origin (zero) on a number line.  Distances cannot be negative."— Presentation transcript:

1 Absolute Value Equations Inequalities

2 What is Absolute Value?  The distance away from the origin (zero) on a number line.  Distances cannot be negative. x 10-8-4048-10-26-6-102

3 Solving Equations  Most have 2 solutions  Some have 1 solution  Few have 0 solutions

4 What to do to Solve?  Move the same symbol to the other side.  Put Opposite number on other side.  Separate into 2 equations, drop absolute value symbols, & solve both equations.

5 You try One!

6

7 What to do to Solve Inequalities?  Move the same symbol to the other side.  Put Opposite number on other side.  Separate into 2 inequalities, drop absolute value symbols, & solve both inequalities.  Graph on a number line. x 10-8-4048-10-26-6-102

8 You try One! x 2020-16-8-80816-10-4-412-12-20-204

9 You try One! x 10-8-4048-10-26-6-102

10 Tonight’s HW  1.7 #18-52 Even  Chapter 1 Test on Wednesday, 9/17 Early Announcement


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