Algebra I Review

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 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.

Which graph best represents  $y=10\left(0.85\right)^x$ ?

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• 
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Which value of x is a solution to this equation?

 $5x^2-36x+36=0$  

•  $x=-6$  

•  $x=4$  

•  $x=-1.8$  

•  $x=1.2$  

What is the solution to  $-\left(6m+18\right)=4\left(17-m\right)$ ?

Find the slope

• -5/3
• -3/5
• 5/3
• 3/5

The slopes of parallel lines are...

• the same

• opposite

• always different

Find the slope of the line that passes through:
(6,7) and (4,2)

• 2/5
• -5/2
• 5/2
• -1/2

• 2¹⁴ z¹³
• 2²/z⁷
• 2¹⁴/ z⁷
• 2² z⁷