Simplifying Radicals

Simplify

 $\sqrt{3x}\ \ -\sqrt{25x^2}+\sqrt{36x^4}$  

•  $3x-5x^2+6x$  

•  $\sqrt{3x-5x}\ +6x^2$  

•  $\sqrt{3}\ .\ \sqrt{x}\ -5x+6x^2$  

•  $1.5x-5x+6x^2$  

If

 $\left(x^{2\ }-25\right)=\left(x-a\right)\left(x+a\right)\ ,what\ is\ the\ value\ of\ a?$  

•  $a=-5$  

•  $a=5$  

•  $a=\sqrt{5}$  

•  $a=-\sqrt{5}$  

Tags

CCSS.HSA.APR.C.4

 $If\ Dana\ decides\ to\ rationalize\ \frac{\left(\sqrt{4x}-5\right)}{\sqrt{2b}-\sqrt{3}},\ then\ she\ will\ multiply\ the\ original\ question\ by\ what\ term?$  

•  $\sqrt{2b}+\sqrt{3}$  

•  $\left(\sqrt{2b}\ -\sqrt{3}\right)$  

•  $\left(\sqrt{2b}\ +\sqrt{3}\right)\left(\sqrt{2b}-\sqrt{3}\right)$  

•  $2b-3$  

Tags

CCSS.HSN.RN.A.2

Which of the following is a parent function of the cubic function?

• $g\left(x\right)=x^2$

• $f\left(x\right)=-x^3$

• $g\left(x\right)=x$

• $f\left(x\right)=-x^2$

 $What\ is\ the\ quotient\ of\ \left(x^{2\ \ }-64\right)\ divided\ by\ \left(x-8\right)$  

•  $x-8$  

•  $\left(x-8\right)\left(x+8\right)$  

•  $x+8$  

•  $8$  

Tags

CCSS.HSA.APR.D.6

Which interval notation shows correctly the domain of the graph shown?

• $\left[3,-10\right]$

• $\left[-6,1\right]$

• $\left[1,-6\right]$

• $\left[-10,3\right]$

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

 $3x\sqrt{x}\ +5\sqrt{x}\ -2b\sqrt{x}$  

•  $\left(8x-2b\ \right)\sqrt{x}$  

•  $\left(3x+5-2b\right)\sqrt{x}$  

•  $3x+5-2b\ +\sqrt{x}$  

•  $3x+5-2b$  

How many solutions does the system of equations-

-6x+6y=6

-6x+3y=-12?

• $No\ Solution$

• $2\ Solutions$

• $3\ Solutions$

• $1\ solution$

Tags

CCSS.8.EE.C.8B

Which of the following is the product of

 $\left(\sqrt{3}-\sqrt{2b}\right)\left(\sqrt{3}+\sqrt{2b}\right)$  ?

•  $9-2b$  

•  $3+2b$  

•  $3-2b$  

•  $\sqrt{3-2b}$  

Tags

CCSS.HSN.RN.A.2

What is the range of the graph shown?

• $-7\le y\le7$

• $-6\le y<4$

• $-6\le y\le4$

• $6\le y\le-4$

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5