# Absolute Value Part 1

Taught by MrRutter
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Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson on Absolute Value, students learn how to solve absolute value equations for the variable. They start with isolating the absolute value, and then either use the step-by-step method or the stop and think about it method to solve the equation. The stop and think about it method involves visualizing the distance from zero to the center, which makes it easier to graph on a number line and find the boundaries for the answer. This lesson also covers how to write an equation that satisfies both the greater than or equal to and less than or equal to conditions.

Lesson Description:

Solving absolute value equations for the variable.

• How do you solve an absolute value equation or inequality?
• How do you solve 2|x - 5| + 3 = 11?
• How do you solve |x - 5| = 4
• How do you break an absolute value equation into two equations?
• How do you get two answers for an absolute value equation?
• How can you think of absolute value as distance?
• How do you solve 2|x - 5| + 3 <= 11?
• How do you solve |x - 5| <= 4?
• How do you graph |x - 5| <= 4 on a number line?
• How do you graph an absolute value inequality on a number line?
• How do you know whether an absolute value inequality should be shaded on the inside between the two points or on the outside facing away from the two points?
• How do you write two inequalities from an absolute value inequality?
• How do you know which way the inequality signs face when you break up an absolute value inequality?
• How do you graph 1 <= x <= 9 on a number line?
• #### Staff Review

• Currently 4.0/5 Stars.
This lesson explains what can be a confusing topic to students - solving an absolute value equation / inequality. All steps are shown and explained to get the variable all by itself. Also, absolute value inequalities are solved and graphed. This is a must-see explanation for solving absolute value inequalities.