PSAT Algebra Quiz

What is the sum of  $2x^2-3$  and  $5x+3$  ?

Simplify $\left(-3x^3+2x\right)-\left(-3x^3-2x\right)$ 

Simplify $\frac{x^2-4x+3}{x-3}$  

The result of  $5x^2+x-3$   minus  $-3x^2+2x-5\$  can be written as  $ax^2+bx+c$  where a, b & c are real numbers.  What is ac?

Given $f\left(x\right)=\frac{2}{5}x+k$  where k is constant. If  $f\left(10\right)=3$  , what is  $f\left(-15\right)$  ?

If $3k-5\ge7$ ,which cannot be a value of k?

Which of the following is a value of x that satisfies  $g\left(x\right)=0$  given  $g\left(x\right)=\left(x+7\right)^2-25$  ?

Which are the solutions to  $2x^2+5x-4$ ?  Check all that apply.

If $x>0$  and  $x^2-9=0$  , what is the value of x ?

The graph of the function  $-x^2-2x+8$  is shown above. For what values of x is  $f\left(x\right)=5$  ?