Name:Date:Period:
Final Exam Review Packet
A5a I can convert between standard and factored form Im ready for the final
I need more practice
Factor.
1.
2
1
2.
3.
4.
Expand (write each product as a sum).
5.
A5b I can solve quadratic equations Im ready for the final
I need more practice
Solve using square roots.
1.
2.
3.
Solve using the Zero Product Property.
4.
Solve using the Quadratic Formula.
5.
A5c I can graph quadratic functions Im ready for the final
I need more practice
Make a complete graph. Show all the steps.
1.
y-intercept ____________
x-intercept(s) ___________________
line of symmetry ____________
vertex ____________
mirror point ____________
A5d I can model quadratic functions Im ready for the final
I need more practice
The motorcycle in the picture is launching off a 5 foot ramp through the ring of fire (hopefully).
The path of the motorcycle can be approximated by the equation where represents the time in seconds after launch and represents the height off the ground in feet.
1.What was the highest point the motorcycle reached and how long did it take to get there?
2.How many seconds until the motorcycle hits the ground?
3.The bottom of the hoop is 15 feet off the ground and has a 10-foot diameter. Write an inequality to represent the height that the motorcycle must reach to pass through the ring of fire.
4.If the motorcyclist reaches the ring of fire after soaring for 0.5 seconds, will she make it through the ring safely?
A6a I can solve inequalities and represent them in multiple ways Im ready for the final
I need more practice
Complete each missing representation.
1. Rule: ______________________
Graph:
Words: __________________________________________________________
Solve and graph each inequality.
2.
3.
A6b I can graph inequalities and identify the solution region Im ready for the final
I need more practice
Graph the inequality.
1.
Make a complete the graph of the system of inequalities. Show your steps.
2.
Is the point (8,6) a solution to this system? Justify your answer.
3. A music company is trying to plan its next months work. The company makes CDs of both rock and rap groups. It costs them an average of $2500 to produce a rock CD and an average of $2000 to produce a rap CD. (The higher cost for rock comes from needing more instrumentalists for rock CDs.) The company can afford to spend up to $18000 on production next month. It takes 15 hours to produce a rock CD, while a rap CD takes 20 hours. According to the companys agreements with the employee union, the company must spend at least 140 hours on production.
x = # of Rock CDs and y = # of Rap CDs
a) Write inequalities to represent the situation.
Hours: _________________________________ Cost: _________________________________
b) Graph the situation.
c) What is one possible amount of rap and rock CDs the music company could make?
d) What is the largest number of CD that the company can make?
e) If the music company wanted to have the same amount of rap and rock CDs produced, how many CDs of each could they make?
A7a - I can apply the properties of exponents Im ready for the final
I need more practice
1.
2.
3.
4.
5.
6.
7.
8.
9.
A7b - I can model exponential functions in multiple ways Im ready for the final
I need more practice
1. Graph the equation .2. Use the table below to answer the following questions.
x
y
-2
-1
0
2000
1
1700
2
1445
3
a) Write an equation that represents the data in the table.
b) What is the percent increase or decrease?
3.You wonder how small a piece of Red Vine you will have if you cut it in half over and over. The Red Vine starts at 12 inches long.
a) Complete the table with the values for the first 5 cuts (dont worry if the values get really small).
Cut
Length
0
1
2
3
4
5
b) Write an equation modeling this situation.
c) How long will the piece be after 9 cuts?
d) After how many cuts will the piece be less than one inch?
less than 0.1 inches?
less than 0.001 inches?
A5a
1. (v+10)(v-8)
2. (2p+1)(p-9)
3. (4x+3)(4x-3)
4. -21x2+18x+3
A5b
1. p = 3 and p= -3
2. k = 6.5 and k = -2.5
3. k = 8 and k = 2
4. n = 2 and k = -1.25
A5c
A5d
1. 21 feet off the ground in 1 second
2. 2.14 seconds
3. 15
