Algebra 2 Quiz 10

Which of the following correctly lists the critical numbers of
 $x^2-x-20<0$  ?

•  $-5,\ 4$  

•  $20,\ -1$  

•  $1,-20$  

•  $-4,5$  

Which of the following values satisfies the inequality 
 $\left(x+1\right)\left(x+4\right)>0$  ?

•  $-5$  

•  $-4$  

•  $-3$  

•  $-1$  

Which of the following values should not be used to test the intervals of 
 $\left(-\infty,\ -5\right)\left(-5,\ -1\right),\ \left(-1,\ 4\right)\left(4,\ \infty\right)$  ?

•  $3$  

•  $-6$  

•  $-5$  

• zero

Which of the following accurately graphs the critical numbers for
 $x^3-x\le0$  ?

• 
• 
• 
• 

Which of the following sets of equations correctly separates the absolute value equation
 $\left|x^2-4\right|=3$ ?

•  $x^2-4=3;\ x^2+4=3$  

•  $x^2+4=3;\ -x^2+4=3$  

•  $x^2-4=3;\ -\left(x^2-4\right)=3$  

•  $x^2-4=3;\ -\left(x^2-4\right)=-3$  
  

solve.
 $\left|x^2-8\right|=1$  

•  $x=\pm3,\ \pm\sqrt{7}$  

•  $x=3,\ \sqrt{7}$  

•  $x=-3,\ -\sqrt{7}$  

solve.
 $\left|x^2+6\right|=-5x$  

•  $x=2,\ 3$  

•  $x=-2,\ -3$  

•  $x=2,-3$