Unit 6 Test B Re-Test: Radical Functions

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16 questions
2

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

64^\frac{5}{4}

2

Simplify (the answer will have a radical)
-\sqrt{36a^5}

1

Multiple Choice: Which option below shows the simplified version of \sqrt{75}

2

Multiple Choice: Which option below shows the simplified version of (-2\sqrt{27})(-3\sqrt{3})

3

Simplify -\sqrt{8x^{3}y}

3

Simplify the expression below. (the answer should include radical(s)
2\sqrt{3}({\sqrt27})-8\sqrt{6}

3

Simplify the expression:
\frac{\sqrt{294k^{30}}}{\sqrt{3k^5}}

2

Which is equivalent to the expression below:
a^\frac{5}{4}b^\frac{13}{4}

2

Simplify the expression. Write the answer as a radical.
\frac{9^\frac{7}{2}}{9^\frac{5}{2}}

3

Solve the equation \sqrt{6m-5}+10=3

4

Solve the equation:
(7k-1)^\frac{1}{3}+11=7

3

Solve the equation:
(3x-21)^{\frac{1}{3}}=(19-x)^\frac{1}{3}

Required
4

OPTIONAL: Solve for y:
\17-2sqrt{3x+10}=1

2

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

6
Graph the function AND identify the key characterisics listed below.
f(x)=\sqrt{x-1}-2



Domain: {x|x _______ } - use >= for 'greater than and equal to'
Range: {y|y_______ }
Endpoint: _______
4

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