Year Review #1

Pablo and Dwayne each play on the school soccer team. They scored a total of 15 goals for the previous season. Dwayne scored 3 fewer than twice the number of goals as Pablo.
Which system of equations models this situation if Pablo scored  $g$  goals and Dwayne scored  $d$  goals?

•  $p=2d+3$ 
    $d=15-p$  

•  $p=2d-3$ 
    $p-d=15$  

•  $d=2p-3$  
   $p+d=15$   

•  $d=3-2p$  
   $d+p=15$  
  

Which expression is equivalent to  $-m^2+m+2$  ?

•  $-(x-2)(x-1)$  

•  $(-x+2)(x-1)$  

•  $(-x-1)(x-2)$  

•  $(x-2)(-x+1)$  

The graph of an exponential function is show on this graph. What is the equation of the asymptote of this function?

• $x=0$

• $y=0$

• $x\ge0$

• $y\le0$

What is the solution to $7x-4(3x+2)=4(x-5)$ ?

• $x=\frac{4}{3}$

• $x=-\frac{4}{3}$

• $x=\frac{3}{4}$

• $x=-\frac{3}{4}$

A graph of a quadratic function is shown on the grid. Which function is best represented by this graph?

• $f(x)=x^2+1$

• $f(x)=x^2-1$

• $f(x)=-x^2+1$

• $f(x)=-x^2-1$

A van drives two routes: The Red Route and the Yellow Route. The routes are different lengths.

· On Monday and Wednesday the van traveled the Red Route 4 times and the Yellow Route 7 times traveling a total of 109 miles.

· On Tuesday and Thursday, the van traveled the Red Route 6 times and the Yellow Route 10 times traveling a total of 158 miles.

What is the length of the Red Route in miles?

• $11\ miles$

• $8\ \ miles$

• $9.9\ \ miles$

• $10.5\ \ miles$

Which graph best represents the solution set of  $y\ge-\frac{5}{2}x-2$  ?

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The expression  $\left(x^{-2}\right)\left(x^5\right)$  is equivalent to $x^n$ .  What is the value of  $n$  ?

•  $n=-10$  

•  $n=-3$  

•  $n=10$   

•  $n=3$  

A chemist used $f(x)=216(0.85)^x$  to determine the effectiveness of a new flu vaccine over time.  What does the  $216$  represent?

• The initial amount of vaccine given to a patient.

• The rate the vaccine loses effectiveness.

• The number of months the vaccine is effective.

• The cost of the vaccine.

The table represents some points on the graph of a linear function.
What is the rate of change of   $y$  with respect to  $x$  for this function? 

•  $-2$  

•  $2$  

•  $4$  

•  $9$