Absolute Value Equations 3
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Lesson Summary:
In this lesson, we learn how to solve algebraic linear absolute value equations both algebraically and graphically. We focus on three cases: when k is less than zero, k is equal to zero, and k is greater than zero. We also learn to avoid two classic mistakes: forgetting to isolate the absolute value sign and solving only one equation and putting a minus sign for the other answer. By following these steps, we can confidently solve absolute value equations and check our answers.
Lesson Description:
Part 3 of how to solve algebraic linear absolute value equations. Explains algebraically and graphically.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you solve and check absolute value equations?
- How do you set up an absolute value problem and write two equations?
- Why are there two solutions to absolute value problems?
- How do you get the second answer to an absolute value equation?
- What two equations can you make from |stuff| = k?
- How do you solve an absolute value equation if the absolute value equals a negative number?
- How do you solve |2x - 3| = -9?
- How do you solve |3x^2 - 5x + 2| + 4 = 0?
- How do you solve |2x - 6| = 0?
- What are the 3 cases of absolute value equations, and how do you solve each case, when k > 0, k = 0, or k < 0?
- How do you solve |2x - 5| + 3 = 9?
- Why do you have to get an absolute value by itself before splitting it into two equations?
- Why are the answers to absolute value equations not always opposites?
- What are some classic mistakes when solving absolute value equations and why are they wrong?
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Staff Review
This lesson goes through the idea of having an absolute value equation equaling a negative number. The video explains that there is no way for an absolute value equation to equal a negative number, so there is no solution. Also, the special case of an absolute value equation equaling 0 is explained. This is a great special cases video. Additionally, common mistakes when solving absolute value equations are detailed.
