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Lesson 4-1 Absolute Value Equations. Problem of the day Jack is walking on a trail and comes to the mile marker 5. If he continues walking for another.

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Presentation on theme: "Lesson 4-1 Absolute Value Equations. Problem of the day Jack is walking on a trail and comes to the mile marker 5. If he continues walking for another."— Presentation transcript:

1 Lesson 4-1 Absolute Value Equations

2 Problem of the day Jack is walking on a trail and comes to the mile marker 5. If he continues walking for another mile, what is the next mile marker he will come to?

3 Marching Band Number Line pg 49 Ms. Patel is preparing the school marching band for the homecoming show. She has the first row of band members stand in positions along a number line on the floor of the band room. The students’ positions math the points on a number line as shown.

4 Write each distance Use the number line to write each student’s distance from 0 next to their name.

5 Vocabulary Absolute value: the distance from 0 to a number on a number line Absolute value notation: uses vertical lines around numbers or expressions Example: |-3| Example: | x | Example: | x – 6| Absolute value equations: an equation involving the absolute value of a variable expression Example | x – 6| = 4

6 In the student line, which two people are 4 units away from 1?

7 Which two numbers are at a distance 4 from 1?

8 Example Problems Draw a number line to show the solutions. Then write an absolute value equation to model the verbal description. Which two points are 2 units away from 0? Which two points are 5 units away from –2? Which two points are 3 units away from 4?

9 Homework Pg 51 #11 a – d


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