[Algebra 2] Quiz Review: Factoring, Completing the Square, and taking square roots

When factoring  $x^2-4x+4=20$  
what goes in the blank?
  $\left(x-\right)^2=20$  

•  $4$  

•  $2$  

•  $-2$  

•  $-4$  

Complete the square for the missing term:
 $x^2+6x+$  

•  $x^2+6x+9$  

•  $x^2+6x-36$  

•  $x^2+6x+36$  

•  $x^2+6x-9$  

 Complete the square for the missing term  

 $x^2+12x+_{ }$ 

•  $x^2+12x+144$  

•  $x^2+12x+36$  

•  $x^2+12x-36$  

•  $x^2+12x-144$  

Solve the equation by completing the square and then finding the roots.  $x^2+6x-4=36$  

•  $x=\pm7$  

•  $x=4,\ x=-10$  

•  $x=-4\pm\sqrt{7}$  

•   $x=10,\ x=-4$  

Solve the following by completing the square: $n^2-2n-3=0$  

•  $n=3,\ n=-1$  

•   $n=\pm4$  

•   $n=5,\ n=-3$  

•   $n=8,\ n=-7$  

Solve by completing the square: $k^2-12k+23=0$  

•  $k=6+\sqrt{13},\ k=6-\sqrt{13}$  

•  $k=-6+\sqrt{13},\ k=-6-\sqrt{13}$  

•  $k=6+\sqrt{59},\ k=6-\sqrt{59}$  

•   $k=-6+\sqrt{59},\ k=-6-\sqrt{59}$  

What are the factors of: $y=x^2+3x-40$  ?

•  $x=-10,\ x=4$  

•  $\left(x+8\right)\left(x-5\right)$  

•  $x=-8,\ x=5$  

•  $\left(x+10\right)\left(x-4\right)$  

What are the factors of: $y=x^2-8x-48$  

•   $x=12,\ x=-4$  

•  $x=-12,\ x=-4$  

•  $\left(x+12\right)\left(x+4\right)$  

•  $\left(x-12\right)\left(x+4\right)$  

Find the factors of:  $f\left(x\right)=x^2-81$  

•   $\left(x-9\right)\left(x+9\right)$  

•  $\left(x+9\right)\left(x+9\right)$  

•   $x=\pm9$  

• Can't be factored

Find the factors of  $5x^2+20x+20$  

•  $5\left(x+2\right)\left(x+2\right)$  

•  $5\left(x-2\right)\left(x-2\right)$  

•   $x=-2$  

•  $x=2$