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Absolute Value Equations Name: Date: Version 1Score: Direction: Solve each absolute value equation.1)10 × 42)1 2 × 133)4)3 8 4 × 10 513 9 9 × 10 71Copyright 2011 ChiliMathAll rights reservedhttp://www.chilimath.comAbsolute
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How to fill out absolute value equations:

01
Identify the absolute value expression: Look for any part of the equation enclosed within two vertical bars (| |).
02
Set up two separate equations: Remove the absolute value bars and write two equations: one with the expression as it is (positive) and one with the expression negated (negative).
03
Solve each equation separately: Solve for the variable in both equations to find two possible solutions.
04
Check the validity of the solutions: Substitute the values obtained from step 3 into the original equation to verify if they make the equation true.
05
State the final If both solutions are valid, write the solution set as two separate values. If only one solution is valid, write that solution as the answer. If no solutions are valid, write "no solution."

Who needs absolute value equations?

01
Students studying algebra and higher level mathematics: Absolute value equations are a fundamental concept taught in algebra classes and are often revisited in higher level math courses like calculus or linear algebra.
02
Engineers and scientists: Absolute value equations are frequently used in engineering and scientific fields to model and solve real-world problems where magnitudes or distances have to be considered.
03
Financial analysts and statisticians: Absolute value equations are useful in analyzing and interpreting financial data or statistical information, where values cannot be negative and need to be represented by their magnitudes.
Note: The target audience and the reasons for needing absolute value equations may vary depending on the context and specific applications.
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Absolute value equations are mathematical equations that involve the absolute value of a variable, denoted as |x|. These equations typically involve finding the value of the variable that satisfies the absolute value condition.
Absolute value equations are typically solved by students in mathematics courses, as well as by professionals in various fields such as engineering, physics, and economics.
To fill out absolute value equations, one must isolate the absolute value expression and consider both the positive and negative values that satisfy the equation. The solution may involve setting up two separate equations to cover both cases.
The purpose of absolute value equations is to find the values of variables that satisfy the condition of being within a certain distance from zero. These equations are commonly used to represent relationships in real-world problems.
Absolute value equations typically require reporting the variable(s) in question, the absolute value expression, and the conditions or constraints that must be satisfied for the equation to hold true.
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