Fall Final Exam

One factor of  $x^2-x-56$  is:

•  $x+7$  

•  $x+8$  

•  $x-9$  

•  $x-7$  

One solution of  $3x^2-2x-18=0$  is:

•  $\frac{-1+\sqrt{55}}{3}$  

•  $-1+\sqrt{55}$  

•  $1+\sqrt{55}$  

•  $\frac{1-\sqrt{55}}{3}$  

What is the sum of the solutions of the quadratic  $x^2+10x+16=0$  

• -2

• -10

• -8

• 10

Simplify  $\frac{x^2-x-12}{x^2-5x-24}$  

•  $\frac{x+4}{x+8}$  

•  $\frac{x-4}{x-8}$  

•  $\frac{x-4}{x+8}$  

•  $\frac{x+4}{x-8}$  

Given the function  $y=x^2+2x-35,$  which equation below correctly represents it in factored form?

•  $y=\left(x-7\right)\left(x+5\right)$  

•  $y=\left(x+7\right)\left(x-5\right)$  

•  $y=\left(x-1\right)\left(x-36\right)$  

•  $y=\left(x+1\right)\left(x+36\right)$  

For all  $x\ne3,\ \frac{x^2-12x+27}{x-3}=?$  

•  $x-3$  

•  $x+9$  

•  $x-9$  

•  $x+3$  

Which of the following is a factor of  $f\left(x\right)=x^2+4x-12?$  

•  $x+6$  

•  $x-6$  

•  $x+2$  

•  $x+4$  

What are the solutions of the equation  $x^2+5x-14=0?$  

•  $x=7,\ -2$  

•  $x=\ -7,\ 2$  

•  $x=\ 7,\ 2$  

•  $x=-7,\ -2$  

Which of the following inequalities has the graphed solution above?

• $-9x\le2$

• $9x\le-2$

• $-9x\ge-2$

• $-9x\ge2$

Which of the following is a solution to the inequality  $-120<6\left(1-3k\right)?$  

•  $k>7$  

•  $k<7$  

•  $k>-17$  

•  $k>-29$