Absolute Value Equations 5

In this lesson, we learn how to solve absolute value equations where there is an absolute value expression on each side of the equation. The lesson explains that when the expressions inside the absolute value are equal, we can set them equal to each other, and when they are opposite of each other, we can set one as the opposite of the other. The lesson emphasizes the importance of checking the solutions in the original equation, and concludes with a summary of the different types of absolute value equations covered in the series.

Part 5 of how to solve algebraic linear absolute value equations. Explains algebraically and graphically.

• 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?
• How do you solve equations where there is an absolute value expression on both sides of an equation?
• What happens if there are absolute values on both sides of an equation?
• What are the two equations you can write if |stuff| = |junk|?
• How do you write two equations, solve, and check |9 - 4x| = |2x - 3|?
• How do you write two equations, solve, and check |2n + 5| = |2n - 1|?
• When does an absolute value equation only have one answer?
• When does an absolute value equation have no solution?
• What is a summary for solving absolute value equations?