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Absolute Value Chapter 1, Section 4
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|8| = 8 and |-8| = 8 Absolute Value
By definition, absolute value is the distance a number is from 0 – this means that absolute value can NEVER be negative |8| = 8 and |-8| = 8 Absolute value equations can have 0, 1, or 2 solutions. No solution is also called the empty set.
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Solving absolute value equations
First, isolate the absolute value expression. Set up two equations to solve. For the first equation, drop the absolute value bars and solve the equation. For the second equation, drop the bars, negate the opposite side, and solve the equation.
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6|5x + 2| = 312
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3|x + 2| -7 = 14
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Solve the following absolute value equations:
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In Conclusion: Exit Slip – Explain why the absolute value of a number can never be negative. Homework – 1.4 in workbook #’s (honors)
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