PSAT Algebra Quiz

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

•  $2x^2+5x$  

•  $2x^2-5x-6$  

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

•  $-6x^3+4x$  

• 0

• 4x

Simplify $\frac{x^2-4x+3}{x-3}$  

•  $x^2-1$  

•  $x^2-4$  

•  $x-1$  

•  $x-4$  

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?

•  $8x^2-x+2$  

•  $-15$  

•  $16$  

•  $-16$  

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

•  $-1$  

•  $-7$  

•  $13$  

•  $-6$  

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

•  $3$  

•  $4$  

•  $5$  

•  $6$  

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

•  $-12$  

•  $-7$  

•  $0$  

•  $2$  

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

•  $\frac{-5-3\sqrt{6}}{4}$  

•  $\frac{5+3\sqrt{6}}{4}$  

•  $\frac{-5+\sqrt{57}}{4}$  

•  $\frac{-5-\sqrt{57}}{4}$  

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

• 9

• -9

• -3

• 3

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

•  $-4\ \&\ 2$  

•  $-3\ \&\ 1$  

•  $-1\ \&\ 9$  

•  $5\ \&\ 8$