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Absolute Value evaluation

# Absolute Value evaluation - a2ch11.7notes.notebook...

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a2 ch 1 1.7 notes.notebook 1 August 27, 2012 Absolute Value Absolute Value – the distance from zero a number is on the number line – it is always positive Symbol : │x│ Definition: If x is positive ( x > 0) then │x│ = x If x is negative ( x < 0) then │x │ = ­x Absolute Value Equations have a possibility of two solutions This is because the value inside the │ │ can equal either the negative or the positive of the value on the other side of the equal sign Always isolate the absolute value expression on one side of the equal sign before breaking the problem into two pieces Absolute Value Equations and Inequalities Solve |15 – 3 x | = 6. The value of 15 – 3 x can be 6 or –6 since |6| and |–6| both equal 6. Check: Try This Problem │3x + 2 │ = 7 Check your answer by plugging it back into the equation.

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a2 ch 1 1.7 notes.notebook 2 August 27, 2012 Solve 4 – 2| x + 9| = –5. Try This Problem Solve 2 │3x ­ 1 │ + 5 = 33.
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Absolute Value evaluation - a2ch11.7notes.notebook...

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