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NAME DATE PERIOD 25 Skills Practice Solving Equations Involving Absolute Value Evaluate each expression if a 2, b 3, and c 4. 1. 2. + + 3. + 4. + Solve each equation. Then graph the solution set.

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Filling out the 2 5 Practice Solving Equations Involving Absolute Value is essential for mastering absolute value equations. This guide will provide you with a clear, step-by-step approach to help you complete the form effectively and efficiently.

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  1. Click the ‘Get Form’ button to access the form and open it in the designated editing interface.
  2. Begin by entering your name in the designated field marked 'NAME.' This information identifies you as the user of the document.
  3. Next, fill in the 'DATE' field with the current date. This helps keep your document organized and indicates when the form was completed.
  4. In the 'PERIOD' section, write down the relevant class period for context. This can help teachers or peers easily reference your work.
  5. Proceed to the equations section, where you will evaluate each expression using the provided values for a, b, and c. Substitute these values into the expressions accurately.
  6. Solve each equation presented in the form. After solving, ensure you label your answers clearly.
  7. Graph the solution set for each equation as required. Make sure your graphs are clear and accurately represent the solutions you've found.
  8. Review all entered information for accuracy, ensuring that all equations have been solved and graphics included.
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Most "solving by graphing" system-of-equations problems work nicely, but sometimes they'll give you a system of equations that is a special case. These special cases are (1) an inconsistent system or (2) a dependent system.

Absolute values must be solved for values greater than or equal to zero, and less than zero. Two equations must be performed, one for positive values and the other for negative values. Absolute values will have two solutions when they are equations, functions, in the inequalities that will give a set of results.

Case 1: The expression inside the absolute value bars is positive. Case 2: The expression inside the absolute value bars is negative. Take the expression | 4 x + 2 | = 18 as an example. You need to solve both equations to get the correct answers to the absolute value equation.

Key Takeaways To solve an absolute value equation, such as |X|=p, replace it with the two equations X=−p and X=p. ... To solve an absolute value inequality involving “less than,” such as |X|≤p, replace it with the compound inequality −p≤X≤p and then solve as usual.

Answer and Explanation: Absolute values will have two solutions when they are equations, functions, in the inequalities that will give a set of results. For a specific number with an absolute value, it will only have one result which will always be positive.

If you have: |x+a|=a positive number, you usually get 2 solutions. If you have: |x+a|=a negative number, then it has no solution.

The precise term in "non-negative." Absolute value is a magnitude and is either positive or zero. Zero is neither positive nor negative. But the absolute value of any non-zero number can be thought of as it's distance from zero and it will always be positive.

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