Unit 6 Test B: Radical Functions

2

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

27^\frac{4}{3}

2

Simplify (the answer will have a radical)
-\sqrt{25a^3}

1

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

2

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

3

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

3

Simplify the expression below. (the answer should include radical(s)
\sqrt{3}{(2+\sqrt2})-2\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{8^\frac{7}{3}}{8^\frac{5}{3}}

3

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

4

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

3

Solve the equation:
(7-3c)^{\frac{1}{2}}=(1-5c)^\frac{1}{2}

4

OPTIONAL: Solve for y:
\sqrt{6y+15}-4=y

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



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

4

Simplify (so that there is no exponent in the answer.. show all steps)27^\frac{4}{3}

Simplify (the answer will have a radical)-\sqrt{25a^3}

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

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

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

Simplify the expression below. (the answer should include radical(s)\sqrt{3}{(2+\sqrt2})-2\sqrt{6}

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

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

Simplify the expression. Write the answer as a radical.\frac{8^\frac{7}{3}}{8^\frac{5}{3}}

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

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

Solve the equation:(7-3c)^{\frac{1}{2}}=(1-5c)^\frac{1}{2}

OPTIONAL: Solve for y:\sqrt{6y+15}-4=y

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

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

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

27^\frac{4}{3}

Simplify (the answer will have a radical)
-\sqrt{25a^3}

Simplify the expression below. (the answer should include radical(s)
\sqrt{3}{(2+\sqrt2})-2\sqrt{6}

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

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

Simplify the expression. Write the answer as a radical.
\frac{8^\frac{7}{3}}{8^\frac{5}{3}}

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

Solve the equation:
(7-3c)^{\frac{1}{2}}=(1-5c)^\frac{1}{2}

OPTIONAL: Solve for y:
\sqrt{6y+15}-4=y

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