Exam 8: Radical Expressions and Equations

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

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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? Round to two decimal places. t seconds after launch. When does the rocket hit the ground? Round to two decimal places.

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

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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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Is the given value of the variable a solution of the radical equation? Is the given value of the variable a solution of the radical equation?

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

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Your revenue from baking and selling cakes is R dollars when you sell n cakes. The revenue is described by the equation Your revenue from baking and selling cakes is R dollars when you sell n cakes. The revenue is described by the equation   . If the revenue is $16.50 how many (whole number) cakes did you sell? . If the revenue is $16.50 how many (whole number) cakes did you sell?

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Find the perimeter of the isosceles triangle. The sides are each Find the perimeter of the isosceles triangle. The sides are each   and the base is   . Simplify.  and the base is Find the perimeter of the isosceles triangle. The sides are each   and the base is   . Simplify.  . Simplify. Find the perimeter of the isosceles triangle. The sides are each   and the base is   . Simplify.

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Find the area of the isosceles right triangle. The length of its legs is Find the area of the isosceles right triangle. The length of its legs is   .  . Find the area of the isosceles right triangle. The length of its legs is   .

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

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Simplify the expression. Assume that the variable has positive values. Simplify the expression. Assume that the variable has positive values.

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

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To solve a radical equation the first step is to __________ a radical on one side of the equal sign.

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

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Is the given value of the variable a solution of the radical equation? Is the given value of the variable a solution of the radical equation?

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

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A ball is dropped from a roof. Its height in meters is described by the equation A ball is dropped from a roof. Its height in meters is described by the equation   t seconds after launch. When is the rock at a height of 10 meters? Round to two decimal places. t seconds after launch. When is the rock at a height of 10 meters? Round to two decimal places.

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

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