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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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The Power Rule

If x, y, and n are real numbers and , then .

*Be Careful!!! Consider x=3.

Equations Containing One Radical

Example 1: Solve: Check:

Example 2: The distance d (in feet) that an object will fall in t seconds is given by the formula .
To find the height of a bridge a man drops a stone from the bridge into water below. If it took 3 seconds
to hit the water, how far above the river is the bridge?

Check:

*Note: Always isolate the radical on one side before raising both sides of the equation to a power.

Example 3: Solve: Check:

Example 4: Solve: .

Check:

Equations Containing Two Radicals

Example 5: Solve: .

Check:

When more than one radical appears in an equation, it is often necessary to apply the power rule more
than once.

Example 6: Solve: Check:

Solving Formulas Containing Radicals

Recall: To solve a formula for a variable means to isolate that variable on one side of the equation.

Example 7: Some office equipment that is now worth V dollars originally cost C dollars 3 years ago. The
rate r at which it has depreciated is given by . Solve the formula for C.