Free Printable 3rd 9-Weeks Retest Part 1: Solving Radicals

1.

Solve for w: $\ ^3\sqrt{8w+1}-7=-2$

a)

$2$

b)

$\frac{7}{4}$

c)

$\frac{63}{4}$

d)

$\frac{31}{2}$

2.

Solve for p: $\sqrt{6-5p}=\sqrt{3p-26}$

a)

$\frac{5}{2}$

b)

$10$

c)

$4$

d)

$16$

3.

Solve for n: $n-5=\sqrt{22-6n}$

a)

No Solution

b)

$\left\{1\right\}$

c)

$\left\{3\right\}$

d)

$\left\{1,3\right\}$

4.

Which graph represents the function $f\left(x\right)=^3\sqrt{x-1}+5$ ?

a)

b)

c)

d)

5.

What is the domain of the function $f\left(x\right)=-2\sqrt{x+1}-3$ ?

a)

$\left(-\infty,\infty\right)$

b)

$\left[-1,\ \infty\right)$

c)

$\left[-2,\ \infty\right)$

d)

$\left[-3,\ \infty\right)$

6.

Which equation best represents this graph?

a)

$f\left(x\right)=\sqrt{x+4}-3$

b)

$f\left(x\right)=\sqrt{x-4}-3$

c)

$f\left(x\right)=\log_2\left(x+4\right)-3$

d)

$f\left(x\right)=\log_2\left(x-4\right)-3$

7.

What are the transformations of the following function $f\left(x\right)=\frac{1}{2}\ ^3\sqrt{x-1}-1$ ?

a)

Reflect across x-axis, Left 1, Down 1

b)

Reflect across x-axis, Right 1, Down 1

c)

Vertical Stretch, Right 1, Down 1

d)

Vertical compression, Left 1, Down 1

8.

Solve:

$-n+\sqrt{40-4n}=-7$

a)

$\left\{-8\right\}$

b)

$\left\{-1,\ 9\right\}$

c)

$\left\{9\right\}$

d)

$\left\{-1,-8\right\}$

9.

Solve:
$10=-3\ \cdot^3\sqrt{4x-20}+4$

a)

$\left\{4\right\}$

b)

$\left\{3\right\}$

c)

$\left\{5\right\}$

d)

$\left\{-4\right\}$

10.

The speed traveled by a tidal wave can be modeled by the equation: $S=356\sqrt{d}$
where S is the speed in km per hour, and d is the average depth of the water in km. If a tidal wave is traveling at 115 km per hour, what is the average depth of the water? (Round your answer to 3 decimal places)

a)

$0.104\ km$

b)

$37.149\ km$

c)

$3817.675\ km$

d)

$9.583\ km$

3rd 9-Weeks Retest Part 1: Solving Radicals

Total questions: 10

Worksheet time: 3hrs 30mins

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