Exam 8: Radical Expressions and Equations

Solve the radical equation.

Multiply and simplify.

The length of a side of a cube x and the volume of the cube V are related by the equation . If the cube has volume what is the length of the side x of the cube? Round to two decimal places.

If then .

Solve the quadratic equation.

The profit P in dollars that you earn from selling n cupcakes is given by . If you want your profit to be $7 how many cupcakes should you sell? Round to the nearest whole number.

Multiply and simplify.

Find the perimeter of the geometric shape. The length is and the width is . Simplify.

Solve the quadratic equation by using the square root property.

The radius of a circle r is approximated by the equation where the area is A. If the radius is 12.5 inches what is the area rounded to two decimal places?

Solve the quadratic equation.

Solve the radical equation.

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

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 144 feet? Round to two decimal places if necessary.

When you solve the equation by the quadratic formula before you simplify the solution is

Multiply and simplify.

Rationalize the denominator and simplify.

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. If the car s speed was 73 mph how long was the skid mark? Round to one decimal place.

Solve the quadratic equation. Give both the exact solution(s) and solution(s) rounded to two decimal places.

Solve the quadratic equation by using the square root property.