Chapter 5 Test Reviewer

Which statement best describes the meaning of

 $7^{\frac{5}{3}}$  ?

• This means  $7\cdot7\cdot7\cdot7\cdot7$  divided by 3.

• This means  $^5\sqrt{7}\cdot^5\sqrt{7}\cdot^5\sqrt{7}$ . 

• This means  $^3\sqrt{7}\cdot^3\sqrt{7}\cdot^3\sqrt{7}\cdot^3\sqrt{7}\cdot^3\sqrt{7}$ . 

• This means  $7\cdot7\cdot7\cdot7\cdot7$  divided by  $7\cdot7\cdot7$  .

Tags

CCSS.HSN.RN.A.2

 

Select all expressions that are equivalent to  $\left(a^3\right)\left(^3\sqrt{a}\right)$ .

•  $a$  

•  $a^{\frac{3}{10}}$  

•  $a^{\frac{10}{3}}$  

•  $^{10}\sqrt{a^3}$  

•  $^3\sqrt{a^{10}}$  

Solve for x:

 $\sqrt{7x+35}=x+5$  

• x = -5

• x = -5 or x = 2

• x = -2 or x =5

• x =2

Tags

CCSS.HSA.REI.A.2

In the equation shown, x represents a real number:

 $\sqrt{2x-5}=7$  What is the solution to this equation?

• x = -27

• x = 0

• x = 6

• x =27

Tags

CCSS.HSA.REI.A.2

Simplify:

 $^3\sqrt{-64a^{12}b^9}$  

•  $4a^4b^3$  

•  $-4a^4b^3$  

•  $8a^4b^3$  

•  $-8a^4b^3$  

Simplify:

 $^4\sqrt{-81}$  

• No real answer.

• 3

• -3

• 3i

What is the reduced radical form of

 $\sqrt{160}-^3\sqrt{250}-^3\sqrt{128}$  

•  $8\sqrt{10}-9\ \ ^2\sqrt{3}$  

•  $4\sqrt{10}-5\ \ ^2\sqrt{3}$  

•  $4\sqrt{10}-9\ \ ^3\sqrt{2}$  

•  $4\sqrt{10}-12\ \ ^2\sqrt{3}$  

Divide and simplify:

 $\frac{\sqrt{48a^{12}}}{\sqrt{8a^8}}$  

•  $\sqrt{6a^4}$  

•  $a^4\ \ \sqrt{6}$  

•  $a\sqrt{6}$  

•  $a^2\sqrt{6}$  

Tags

CCSS.HSN.RN.A.2

Simplify:

 $\frac{5}{4-\sqrt{6}}$  

•  $\frac{20\ +\ 5\sqrt{6}}{10}$  

•  $\frac{4+\sqrt{6}}{2}$  

•  $\frac{20\ +\ 10\sqrt{6}}{10}$  

•  $\frac{4+\sqrt{6}}{10}$  

Tags

CCSS.HSN.RN.A.2

What is the simplest form of

 $\sqrt{63m^4n^8}\times\sqrt{28m^3n^5}$  

•  $42mn\sqrt{mn}$  

•  $42m^3n^6\sqrt{mn}$  

•  $-42m^3n^2\sqrt{mn}$  

•  $-42mn\sqrt{mn}$  

Tags

CCSS.HSN.RN.A.2