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  1. Steps for Solving Linear Absolute Value Equations : i.e. + = 1. Isolate the absolute value. 2. Identify what the isolated absolute value is set equal to… a. If the absolute value is set equal to zero , remove absolute value symbols & solve the equation to get one solution . b. If the absolute value is set equal to a negative number, there is ...

  2. An absolute value equation is an equation that contains an absolute value expression. You can solve these types of equations by solving two related linear equations. Core Concept. Properties of Absolute Value. Let a and b be real numbers.

  3. How to solve absolute value equations 1) Isolate the absolute value. 2) Split into two separate equations, setting one to the negative and one to the positive. Example: | 2x + 6 | - 3 = 13 1) Isolate the absolute value: ** The steps are the same as if you were getting the x by itself. You move away all other numbers by doing the opposite ...

  4. Write and solve equations involving absolute value. • I can write the two linear equations related to a given absolute value equation. • I can solve equations involving one or two absolute values. • I can identify special solutions of absolute value equations.

  5. Objective 1: Solving an Absolute Value Equation. The absolute value of a number x, written as x , represents the distance from a number x to 0 on the number line. Consider the equation x = 5 . To solve for x, we must find all values of x that are 5 units away from 0 on the number line.

  6. 1. The graph of the absolute value function f (x) = |x|. It is important to note that the equation of the left-hand branch of the “V” is y = −x. Typical points on this branch are (−1, 1), (−2, 2), (−3, 3), etc. It is equally important to note that the right-hand branch of the “V” has equation y = x.

  7. Section 2.6 Notes ~ Solving Absolute Value Equations. TLW solve equations in one variable that contain absolute-value expressions. TLW solve absolute-value equations, perform inverse operations to isolate the absolute-value expression on one side of the equation. Then you must consider two cases.

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