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 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

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The Power Rule

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

*Be Careful!!! Consider x=3.

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:

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: