Factoring, solving, intervals and evaluating

Factor

 $x^2-6x+8$  

•  $\left(x+2\right)\left(x-4\right)$  

•  $\left(x-2\right)\left(x-4\right)$  

•  $\left(x-2\right)\left(x+4\right)$  

•  $\left(x+2\right)\left(x+4\right)$  

Find all solutions to

 $x^2-16=9$  

•  $x=-5$  

•  $x=5$  

•  $x=\pm5$  

•  $x=\pi$  

Fun fact:

How much does the average cloud weigh?

• -100 pounds

• 100 pounds

• 1,100 pounds

• 1,100,000 pounds

Find all solutions to

 $x^2+8x-20=0$  

•  $x=-10,-2$  

•  $x=-10,\ 2$  

•  $x=10,-\ 2$  

•  $x=10,\ 2$  

Which notation is equivalent to

 $-3<x\le7$  

•  $\left[-3,7\right]$  

•  $\left(-3,7\right]$  

•  $\left(-3,\ 7\right)$  

•  $\left[-3,7\right)$  

Fun fact:

The average human head weighs

• 6 pounds

• 8 pounds

• 11 pounds

• 14 pounds

If $f\left(x\right)=x^2+2x+8$ , then evaluate  $f\left(3\right)$  .

• 19

• 20

• 23

• 41

Which notation is equivalent to
 $\left(-\infty,\ 4\right)\ \cup\left[11,\infty\right)$  

•  $x<4\ and\ x>11$  

•  $x<4\ and\ x\ge11$  

•  $x\le4\ and\ x>11$  

•  $x\le4\ and\ x\ge11$  

The total number of people to have ever lived on Earth is estimated to be about

• 10 billion

• 100 billion

• 1 trillion

• 10 trillion

 $2a^2+11a=21$  

Find all solutions to

•  $a=\frac{3}{2},7$  

•  $a=-\frac{3}{2},\ 7$  

•  $a=-\frac{3}{2},-7$  

•  $a=\frac{3}{2},-7$