Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations. For example rearrange Ohm's law V = IR to highlight resistance R.

Sample Practice Questions (3)

The formula for the volume of a rectangular prism is

V = l w h

, where

V

is the volume,

l

is the length,

w

is the width, and

h

is the height. Which equation correctly expresses the height,

h

, in terms of

V

l

, and

w

h = V - l w

h = \frac{l w}{V}

h = \frac{V}{l w}

h = V l w

The area of a triangle is given by the formula

A = \frac{1}{2} bh

. Solve this formula for the height,

h

h = \frac{2 A}{b}

h = \frac{A}{2 b}

h = 2 A b

h = A - \frac{1}{2} b

The area of a trapezoid is given by the formula

A = \frac{1}{2} h (b_{1} + b_{2})

. Solve the formula for the height,

h

h = \frac{2 A}{b _{1} + b _{2}}

h = \frac{A}{2 ( b _{1} + b _{2} )}

h = 2 A - b_{1} - b_{2}

h = \frac{2 ( b _{1} + b _{2} )}{A}

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