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Laabri

Unit 6 Test B: Radical Functions

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1.

Simplify (so that there is no exponent in the answer.. show all steps)

27^\frac{4}{3}

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2.

Simplify (the answer will have a radical)

-\sqrt{25a^3}

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3.

Multiple Choice: Which option below shows the simplified version of \sqrt{48}

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4.

Multiple Choice: Which option below shows the simplified version of (-4\sqrt{12})(-3\sqrt{3})

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5.

Simplify -\sqrt{2x^{5}y}

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6.

Simplify the expression below. (the answer should include radical(s)

\sqrt{3}{(2+\sqrt2})-2\sqrt{6}

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7.

Simplify the expression:

\frac{\sqrt{294k^{30}}}{\sqrt{3k^5}}

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8.

Which is equivalent to the expression below:

a^\frac{5}{4}b^\frac{13}{4}

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9.

Simplify the expression. Write the answer as a radical.

\frac{8^\frac{7}{3}}{8^\frac{5}{3}}

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10.

Solve the equation \sqrt{6n-5}+1=8

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11.

Solve the equation:

7-(3k-29)^\frac{1}{4}=5

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12.

Solve the equation:

(7-3c)^{\frac{1}{2}}=(1-5c)^\frac{1}{2}

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13.

OPTIONAL: Solve for y:

\sqrt{6y+15}-4=y

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14.

The square root parent function is translated so that the endpoint is located at (-4,1). Write an equation that represents this new function.

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15.

Graph the function AND identify the key characterisics listed below.

f(x)={2}\sqrt{x}-3

Domain: {x|x } - use >= for 'greater than and equal to'

Range: {y|y }

Endpoint:

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16.

What transformations take place by graphing the function below with respect to it's parent functions? Check all that apply.

f(x)=-3\sqrt{x-5}-4