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Other Types of Equations-Part 1
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1Absolute Values
Grouping
Rational Exponents
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Absolute Value Problems
Steps Isolate the absolute value Remove the absolute value symbol Solve the equation Write the equation without the absolute
value symbol again, changing the sign of the answer opposite the absolute value symbol
Solve the equation Check both answers in the original equation
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Absolute Value Example
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Another Absolute Value Example
113|5|2 x
31133|5|2 x
8|5|2 x
2
8
2
|5|2
x
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Another Absolute Value Example (Cont.)
4|5| x
45x 45 x
5455 x 5455 x
9x 1x
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Using Grouping
Steps Write the equation in order from highest
power to lowest Make sure it equals zero “Factor” as you would using the ‘Rainbow
Method’ Use the Zero Factor Theorem to solve each
factor
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Grouping Example
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Rational Exponents
Steps Factor out a fractional exponent Use Zero Factor Theorem to solve
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Rational Exponent Example
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Practice Problems
Page 109Problems 1-12
