EOC Review

The graph of a quadratic function is shown on the grid.

Which function is best represented by this graph?

• $h\left(x\right)=x^2-3x-9$

• $h\left(x\right)=x^2+3x-9$

• $h\left(x\right)=x^2-6x$

• $h\left(x\right)=x^2+6x$

Which expression is equivalent to  $24x^2-22x+5$ ?

•  $\left(12x+5\right)\left(2x+1\right)$  

•  $\left(8x-5\right)\left(3x-1\right)$  

•  $\left(12x-5\right)\left(2x-1\right)$  

•  $\left(8x+5\right)\left(3x+1\right)$  

A system of equations is graphed on the grid.

Which system of equations does the graph represent?

• $y=-x-4$
  $y=2x-2$
  

• $y=-x+4$
  $y=2x-4$
  

• $y=x-4$
  $y=-2x-2$
  

• $y=x+4$
  $y=-2x-4$
  

The table represents some points on the graph of an exponential function.

Which function represents the same relationship?

• $f\left(x\right)=15\left(\frac{5}{6}\right)^x$

• $f\left(x\right)=18\left(\frac{6}{5}\right)^x$

• $f\left(x\right)=15\left(\frac{6}{5}\right)^x$

• $f\left(x\right)=18\left(\frac{5}{6}\right)^x$

The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the humber of meals the feeder has dispensed.

Based on the table, which function models this situation?

• $f\left(n\right)=-3n+24$

• $f\left(n\right)=-\frac{1}{3}n+16$

• $f\left(n\right)=-3n+64$

• $f\left(n\right)=-\frac{1}{3}n+8$

The graph of  $f\left(x\right)=x^2$ was transformed to create the graph of  $g\left(x\right)=f\left(x\right)-9$ . Which statement about the graphs is true?

• The graph of g is a reflection of the graph of f across the x-axis.

• The vertex of the graph of g is 9 units to the right of the vertex of the graph of f. 

• The graph of g is a reflection of the graph of f across the y-axis.

• The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

The expression  $\left(x^{22}\right)\left(x^7\right)^3$ is equivalent to  $x^p$ . What is the value of  $p$ ? 

The graph of a linear function k passes through the points (-7, 0) and (1, 8).

Which statement must be true?

• The slope of the graph of k is $-\frac{4}{3}$ .

• The graph of k passes through the point (-1, -8).

• The zero of k is 7.

• The x-intercept of the graph of k is -7.

What is the value of x in the solution to this system of equations?

 $3x-5y=22$  
 $y=-5x+32$  

• -6.5

• 0.5

• 6.5

• -0.5