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Unit 6 Test B Re-Test: Radical Functions
By Teerani Sutthiphansakul
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Last updated about 3 years ago
16 questions
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2
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Question 1
1.
Simplify (so that there is no exponent in the answer.. show all steps)
64^\frac{5}{4}
Question 2
2.
Simplify (the answer will have a radical)
-\sqrt{36a^5}
Question 3
3.
Multiple Choice: Which option below shows the simplified version of \sqrt{75}
5\sqrt{25}
3\sqrt{25}
5\sqrt{3}
2\sqrt{5}
Question 4
4.
Multiple Choice: Which option below shows the simplified version of (-2\sqrt{27})(-3\sqrt{3})
54
-6\sqrt{30}
-5\sqrt{81}
-5\sqrt{30}
Question 5
5.
Simplify -\sqrt{8x^{3}y}
Question 6
6.
Simplify the expression below. (the answer should include radical(s)
2\sqrt{3}({\sqrt27})-8\sqrt{6}
Question 7
7.
Simplify the expression:
\frac{\sqrt{294k^{30}}}{\sqrt{3k^5}}
7k^2\sqrt2
7k^3\sqrt2
7k^5\sqrt2
7k^{12}\sqrt{2k}
Question 8
8.
Which is equivalent to the expression below:
a^\frac{5}{4}b^\frac{13}{4}
\frac{1}{4}\sqrt{a^5b^{13}}
a^4b^4\sqrt{ab}
a^2b^6\sqrt[4]{ab}
ab^3\sqrt[4]{ab}
Question 9
9.
Simplify the expression. Write the answer as a radical.
\frac{9^\frac{7}{2}}{9^\frac{5}{2}}
Question 10
10.
Solve the equation \sqrt{6m-5}+10=3
Question 11
11.
Solve the equation:
(7k-1)^\frac{1}{3}+11=7
Question 12
12.
Solve the equation:
(3x-21)^{\frac{1}{3}}=(19-x)^\frac{1}{3}
Question 13
13.
OPTIONAL: Solve for y:
\17-2sqrt{3x+10}=1
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Question 14
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.
Question 15
15.
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:
_______
Question 16
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
Up 5 units
Down 5 Units
Left 5 Units
Right 5 Units
Up 4 Units
Down 4 Units
Left 4 units
Right 4 Units
Vertical Stretch
Vertical Compression
Reflection in the x-axis
Reflection in the y-axis