If the absolute value is set equal to a negative number there is no solution. If x a where ais a positive number then x aor x a.
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Solving absolute value equations worksheet lesson 2-2 answers. Steps for solving absolute value equations. If the absolute value is set equal to zero remove absolute value symbols solve the equation to get one solution. Summarize what you noticed from the previous solutions.
What did you notice. Steps for solving linear absolute value equations. Solving absolute value equations is as easy as working with regular linear equations.
Need to isolate the absolute value expression undo addition or subtraction outside of absolute value. Solving absolute value equations graphically absolute value equations differ from linear equations in that they may have two solutions. Answers lesson 3 4 solving absolute value equations 1 1 3 exploration determine the solution for each equation.
Here you will find hundreds of lessons a community of teachers for support and materials that are always up to date with the latest standards. Absolute value equations and inequalities word docs powerpoints. Identify what the isolated absolute value is set equal to a.
Get the absolve value expression by itself. Notice the use of a disjunctionhere in the rule for values of x. You should check each solution by plugging them into the given equation.
Our printable absolute value worksheets meticulously designed for 6th grade and 7th grade students include exercises like finding the absolute value of positive and negative integers performing simple addition subtraction multiplication and division involving the absolute value of real numbers and more. To solve absolute value equations algebraically first isolate the absolute value expression on one side of the equation the same way you would isolate a variable. Whichever pair of solutions makes the equation true is the correct answer.
Isolate the absolute value. Absolute value equations worksheet 2 here is a another 16 problem multiple choice worksheet where you will determine the solutions to equations containing absolute value. Then use the rule.
This is indicated with a disjunction a mathematical statement created by a connecting two other statements with the word or to see why there can be two solutions you can solve an absolute value equation. Here is your free content for this lesson. Set up two equations and solve them separately.
Absolute value equations worksheet 2 rtf. Solving absolute value equations. Positive and negative components below is the general approach on how to break them down into two equations.
To gain access to our editable content join the algebra 2 teacher community. The only additional key step that you need to remember is to separate the original absolute value equation into two parts. About absolute value equations solve an absolute value equation using the following steps.