Exam 8: Radical Expressions and Equations

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Suppose that a cylinder has a height of 8 cm. The volume of this cylinder is related to the radius of its base by the equation Suppose that a cylinder has a height of 8 cm. The volume of this cylinder is related to the radius of its base by the equation   where V is its volume in   . Find the radius r of this cylinder if its volume is   . Round to two decimal places if necessary. where V is its volume in Suppose that a cylinder has a height of 8 cm. The volume of this cylinder is related to the radius of its base by the equation   where V is its volume in   . Find the radius r of this cylinder if its volume is   . Round to two decimal places if necessary. . Find the radius r of this cylinder if its volume is Suppose that a cylinder has a height of 8 cm. The volume of this cylinder is related to the radius of its base by the equation   where V is its volume in   . Find the radius r of this cylinder if its volume is   . Round to two decimal places if necessary. . Round to two decimal places if necessary.

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Solve the radical equation. Solve the radical equation.

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Find the distance between the points Find the distance between the points   . Round to two decimal places if necessary. . Round to two decimal places if necessary.

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Solve the quadratic equation by using the square root property. Solve the quadratic equation by using the square root property.

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Simplify the expression. Assume that all variables under the radical represents positive values. Simplify the expression. Assume that all variables under the radical represents positive values.

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Solve the quadratic equation by using the square root property. Solve the quadratic equation by using the square root property.

(Multiple Choice)
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Solve the quadratic equation by using the square root property. Solve the quadratic equation by using the square root property.

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You __________ You __________   as   . as You __________   as   . .

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Multiply the radicals and simplify. Multiply the radicals and simplify.

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Multiply the radicals and simplify. Multiply the radicals and simplify.

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Simplify the radical then approximate it to two decimal places. Simplify the radical then approximate it to two decimal places.

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Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer.   for  for Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer.   for

(Multiple Choice)
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Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer.

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If a ball is dropped from a height of s feet it takes t seconds to hit the ground which is modeled by the equation If a ball is dropped from a height of s feet it takes t seconds to hit the ground which is modeled by the equation   . How long will it take the ball to hit the ground when it is dropped from 196 feet? Round to two decimal places if necessary. . How long will it take the ball to hit the ground when it is dropped from 196 feet? Round to two decimal places if necessary.

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A model rocket is launched from the ground. Its height in feet is described by the equation A model rocket is launched from the ground. Its height in feet is described by the equation   t seconds after launch. When does the rocket hit the ground? t seconds after launch. When does the rocket hit the ground?

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When police measure the length of a skid mark made by a car involved in an accident on a nearby road the police determine the speed s of the car (in mph) by the following equation: When police measure the length of a skid mark made by a car involved in an accident on a nearby road the police determine the speed s of the car (in mph) by the following equation:   where d is the length of the skid mark in feet. What was the speed of the car when the length of the skid mark was 125 feet? Round to two decimal places. where d is the length of the skid mark in feet. What was the speed of the car when the length of the skid mark was 125 feet? Round to two decimal places.

(Multiple Choice)
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The profit P in dollars that you earn from selling n cupcakes is given by The profit P in dollars that you earn from selling n cupcakes is given by   . How much profit will you earn from selling 14 cupcakes? Round to the nearest cent. . How much profit will you earn from selling 14 cupcakes? Round to the nearest cent.

(Multiple Choice)
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Solve the radical equation. Solve the radical equation.

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Rationalize the denominator and simplify. Rationalize the denominator and simplify.

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Simplify the radical then approximate it to two decimal places. Simplify the radical then approximate it to two decimal places.

(Essay)
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