EOC Review Packet

1. Which graph shows the solution to the system of inequalities below?

$$y\le2x+2$$

$$y>-3x-1$$

2. The amount of medicine in Elizabeth's blood is modeled by the function $$M\left(t\right)=-t^2+10t$$ , where t is the number of hours after she takes the medicine. How many hours after Elizabeth takes her medicine is the amount of medicine in her blood the highest?

3. What is the smallest positive integer for x, so that the value of $$f\left(x\right)=200\left(2\right)^x$$ is greater than the value of $$g\left(x\right)=500x+400$$ ?

(a)  

4. What is the y-intercept of the function $$f\left(x\right)=\frac{1}{2}\left(2x-4\right)$$ ?

6. Which expression is equivalent to $$3\left(x-4\right)^2$$ ?

7. Jane owns x comic books. Derrek owns y comic books.

The number of comic books Jane owns is 1 less than 2 times the number Derrek owns.

Together they have a total of 11 comic books.

How many comic books does Derrek own?

(a)  

8. James is at a gift sale where everything costs $4 (tax included). James has $50. James must have at least $28 remaining when he is finished buying gifts. What is the greatest number of gifts James can buy?

(a)  

9. The expression $$-5t^2+40t$$ predicts the height, in meters, of an object t seconds after a person launches it into the air. Using this expression, how many seconds will it take the object to hit the ground?

(a)  

11. The function $$f\left(x\right)=10000-1500x$$ can be used to predict the number of termites in an area x days after the area has been treated. How many termites are predicted in the area after 5 days?

(a)  

12. Avis used a quadratic function to solve a problem. The factored form of the function is shown below

$$\left(4x+3\right)\left(6x-3\right)=0$$

What is the positive solution to the problem?

(a)