Unit 1 - Fundamental Skills - Practice Quiz

Simplify this expression: $\left(-5x^{-2}y\right)\left(6x^7y^{-1}\right)+7x^5$ 

•  $-22x^5$  

•  $-23x^5$  

•  $-24x^5$  

•  $-25x^5$  

 Factor this expression completely: $p^5-81p$  

•  $p\left(p^4-81\right)$  

•  $p\left(p^2+9\right)\left(p^2-9\right)$  

•  $p\left(p^2+9\right)\left(p+3\right)\left(p-3\right)$  

•  $p\left(p+3\right)^2\left(p-3\right)^2$  

Tags

CCSS.HSA.APR.C.4

Simplify this expression: $\frac{p^2-3p-28}{5p+20}\cdot\frac{10p^2}{49-p^2}$  

•  $-2p\left(p+7\right)$  

•  $\frac{-1}{2p\left(p+7\right)}$  

•  $\frac{-2p^2}{p+7}$  

•  $\frac{2p^2}{p+7}$  

Tags

CCSS.HSA.APR.D.6

Simplify the expression: $\frac{2\sqrt{5}}{8\sqrt{18}}$  

•  $\frac{\sqrt{10}}{24}$  

•  $\frac{6\sqrt{10}}{144}$  

•  $\frac{\sqrt{90}}{72}$  

•  $\frac{\sqrt{5}}{18}$  

Simplify this expression: $\left(-7-2i\right)\left(8+2i\right)$  

•  $-52-30i$  

•  $-56-30i-4i^2$  

•  $1$  

•  $-82$  

Tags

CCSS.HSN.CN.C.8

Solve the following equation: $7a-\left(3a+1\right)=-5\left(2a+17\right)$  

•  $No\ Solution$   

•  $Infinitely\ Many\ Solutions$  

•  $a=-6$  

•  $a=6$  

Tags

CCSS.8.EE.C.7A

 $9\left|-2r-4\right|+6=60$  

Solve the following equation:

•  $No\ Solution$  

•  $r=-5$  

•  $r=1$  

•  $r=-5\ and\ r=1$  

Solve the following equation: $2r^2+8r+1=0$  

•  $No\ Solution$  

•  $r=\frac{1}{2}\ and\ r=1$  

•  $r=\frac{-4+\sqrt{14}}{2}\ and\ r=\frac{-4-\sqrt{14}}{2}$  

•  $r=\frac{-4+i\sqrt{14}}{2}\ and\ r=\frac{-4-i\sqrt{14}}{2}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve the following equation: $\frac{1}{2}k^2+53=5$ 

•  $No\ Solution$  

•  $k=\sqrt{-48}\ and\ k=-\sqrt{-48}$  

•  $k=4i\sqrt{3}\ and\ k=-4i\sqrt{3}$  

•  $k=4i\sqrt{6}\ and\ k=-4i\sqrt{6}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve the following equation: $n=\sqrt{6n+30}-5$  

•  $No\ Solution$  

•  $n=-5$  

•  $n=1$  

•  $n=-5\ and\ n=1$  

Tags

CCSS.HSA.REI.A.2