solving absolute value equations template

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the only additional key step that you need to remember is to separate the original absolute value equation into two parts: positive and negative (±) components. key point #2: the x inside the absolute value symbol, \left| {\,\,\,\,\,} \right|, could be any expressions. the absolute value of any number is either positive or zero. although the right side of the equation is negative, the absolute value expression itself must be positive. key point #1: the sign of \left| x \right| must be positive. what we need is to eliminate first the negative sign of the absolute value symbol before we can proceed.

this problem is getting interesting since the expression inside the absolute value symbol is no longer just a single variable. we have the absolute value symbol isolated on one side and a positive number on the other. solving this is just like another day in the park! it is because the absolute value symbol is not by itself on one side of the equation. this is an interesting problem because we have a quadratic expression inside the absolute value symbol. we don’t care about the “stuff” inside the absolute value symbol. as long as it is isolated, and the other side is a positive number, we can definitely apply the rule to split the equation into two cases.

example 1: solve the absolute value equation ∣ x ∣ = − 5 \left| x \right| =\, – 5 ∣x ∣=−5 . the absolute value of any for example, if i have x = –6, then “–x ” indicates “the opposite of x” or, in this case, –(–6) = +6, a positive number. the ” solve equations like 3|x+1| + 7 = 6|x+1| + 6. worked example: absolute value equations with one solution., solving absolute value equations worksheet, solving absolute value equations worksheet, solving absolute value equations on both sides, solving absolute value inequalities, solving absolute value equations calculator.

we will then proceed to solve equations that involve an absolute value. we will also work an example example 1 suggests a rule that we can use when solving absolute value equations. if c is a positive number, then | x template to assist students in solving absolute value equations and inequalities. can be laminated or put in plastic , absolute value equations practice, absolute value inequalities problems, absolute value inequalities problems, absolute value examples, complex absolute value equations

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