ALGEBRA EOC FINAL REVIEW

Which of the following polynomial functions could have the graph shown?

• $p\left(x\right)=\left(x-1\right)\left(x+2\right)\left(x+3\right)$

• $p\left(x\right)=\left(x+1\right)\left(x-2\right)\left(x-3\right)$

• $p\left(x\right)=\left(x-6\right)\left(x+1\right)\left(x-2\right)\left(x-3\right)$

• $p\left(x\right)=\left(x-6\right)\left(x-1\right)\left(x+2\right)\left(x+3\right)$

The graph of the quadratic function f(x) intersects the x-axis at -3 and 5. Which is a possible equation for f(x)?

• $f\left(x\right)=\left(x-3\right)^2+5$

• $f\left(x\right)=\left(x+3\right)^2+5$

• $f\left(x\right)=\left(x-3\right)\left(x+5\right)$

• $f\left(x\right)=\left(x+3\right)\left(x-5\right)$

• Graph A

• Graph B

• Graph C

• Graph D

• Graph A

• Graph B

• Graph C

• Graph D

• Graph A

• Graph B

• Graph C

• Graph D

Select all the situations that can be modeled with a linear function

• A taxi charges an initial fee of $2.00 and $1.50 for each additional mile

• The population of a town decreases by 15% each year

• An airplane flying at an altitude of 33,000 feet descends at a rate of 20 feet per minute

• A bacterial cell doubles in size every 2 hours

• Andrew opens an investment account with a principle $500 and an interest rate of 1.5% monthly

To calculate the charge for a load of bricks, including delivery, the Pine Ridge Brick Company uses the function c(b) = 0.42b + 25, where c is the charge and b is the number of bricks. What is the meaning of 0.42?

• the delivery charge per load

• the total delivery charge

• the total cost of the bricks

• the cost per brick

Kim purchases a car for $27,000. She is given a table showing the data representing the expected depreciation of the car. Based on the table, which of the following is a true statement?

• The car depreciates following a linear model and the rate of change is -$2,430 per year

• The car depreciates following an exponential model and the percent rate of depreciation is -$2,430 per year

• The car depreciates following a exponential model and the percent rate of depreciation is 91% per year

• The car depreciates following an exponential model and the percent rate of depreciation is 9% per year

A ball is dropped out of a window of a building. The ball's height in feet can be represented by the function  $h\left(t\right)\ =\ -16t^2+48$  where t is the time in seconds. If the height at which the ball is dropped is increased by 20 feet, what is the resulting function?

•  $h\left(t\right)=4t^2+48$  

•  $h\left(t\right)=-16t^2+68$  

•  $h\left(t\right)=-36t^2+48$  

•  $h\left(t\right)=-16t^2+20t+48$  

 $\frac{\left(x+4\right)}{2}=4x-6$  

Solve for x:

•  $x=\frac{16}{7}$  

•  $x=\frac{8}{3}$  

•  $x=\frac{10}{3}$  

•  $x=7$