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Equations Section 8: Solving Absolute Value Equations Concept: Solving Absolute Value Equations Name: Warm Up 1. Determine what values of x make each inequality true. Graph each answer. (a) 9x 2 7x
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How to fill out concept solving absolute value:

01
Identify the absolute value expression: The first step is to recognize the absolute value expression within the given concept or problem.
02
Set up two equations: Since absolute value can result in two different values (positive and negative), it is necessary to set up two separate equations to account for both possibilities.
03
Remove the absolute value brackets: To solve the equations, remove the absolute value brackets and write two cases: one with a positive value and one with a negative value.
04
Solve each case separately: Solve each equation separately, considering the positive and negative possibilities.
05
Check for extraneous solutions: After solving, be sure to check if any of the solutions obtained are extraneous, which means they do not satisfy the original equation. Discard such solutions.
06
Finalize the solution: Present the final solution, which may include one or multiple potential values.
07
Practice, practice, practice: It is important to practice solving absolute value concepts to become comfortable and proficient in the process.

Who needs concept solving absolute value:

01
Students studying algebra: Absolute value concepts are frequently taught in algebra courses as part of the curriculum. Students need to understand how to solve absolute value equations and inequalities.
02
Individuals preparing for standardized tests: Many standardized tests, such as the SAT, ACT, and GRE, include questions that involve absolute value solving. Therefore, individuals aiming to achieve high scores in these tests need to be familiar with absolute value concepts.
03
Professionals working with equations and inequalities: In various fields such as engineering, physics, economics, and finance, professionals often encounter equations and inequalities that involve absolute value. Having a solid understanding of absolute value solving is beneficial for these individuals in their work.
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Concept solving absolute value is a mathematical process used to find the distance between a number and zero on a number line, regardless of the sign of the number.
Students learning about absolute value in math classes are typically required to practice and solve problems related to it.
To fill out concept solving absolute value, one must understand the concept of absolute value, identify the number or expression to find the absolute value of, and then apply the appropriate rules or formulas to calculate the distance from zero.
The purpose of concept solving absolute value is to understand and work with the distance between a number and zero on a number line, allowing for comparisons and calculations regardless of the original sign of the number.
Information such as the number or expression being evaluated for absolute value, the calculation method used, and the final result of the absolute value calculation must be reported on concept solving absolute value.
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