Name __________________________
1)
Which of the following equations represents a linear equation with negative slope?
A)
C)
2)
𝑦 = x 2 − 18
y = −|x| + 2
𝑦 = 4x 2 − 18
𝑦 = −3𝑥 3 + 8
B)
D)
𝑦 = −2x 2 − 1
y = −x + 4
𝑦 = |𝑥 | − 15
𝑦 = −x − 15
B)
D)
𝑦 = −3x 2 + 15
y = x 2 + 15
Which of the following graphs is non-linear?
A)
C)
5)
B)
D)
Which of the following is a linear equation?
A)
C)
4)
𝑦 = −3x − 18
𝑦 = 3𝑥 + 8
Which of the following quadratic equations would open upward?
A)
C)
3)
Topic 7 Review Packet
Page #25
1
𝑦 = x−4
3
𝑦 = −7 + 3x
B)
D)
𝑥
𝑦 = − +2
5
y = 4x 2 + 15
Which of the following equations is NOT a straight line?
A)
C)
𝑦 = |2𝑥|
𝑦 =𝑥+2
B)
D)
1
𝑦= 𝑥
2
𝑦= 𝑥
Use the following information and graph to answer questions 6 through 7.
The graph below shows the depth of the water in a pool that is
being filled by Mr. Patel.
6)
Which of the following can be used to describe the number of gallons, g, in the pool
after h hours?
A)
C)
7)
g = 600h
g = 1500 + 600h
B)
D)
g = 1,500h
g = 1500h + 600
If Mr. Patel’s pool can only hold 6,900 gallons of water, how many hours will it take to
fill the pool?
A)
C)
7 hours
10 hours
B)
D)
9 hours
12 hours
Use the following information and graph to answer questions 8 through 10.
The graph below shows the flight path of an airplane flying from Albany to
Philadelphia.
8)
Which description best explains the graph above of the flight of the airplane?
A)
B)
C)
D)
9)
Which of the following is the best approximation for the highest altitude of the plane
during its flight?
A)
C)
10)
The plane will take off and ascend for about 20 minutes, maintain a
constant altitude for 50 minutes and then descend for about 20 minutes.
The plane will take off and ascend for 50 minutes, maintain a constant
altitude for 25 minutes and descend for 25 minutes.
The plane will take off and ascend for about 20 minutes, maintain a
constant altitude for 60 minutes and then descend for about 20 minutes.
The plane will travel at a higher speed for 20 minutes, then it will maintain
a constant speed for 60 minutes, and will then slow down for the
remaining 20 minutes.
18,000 feet
20,000 feet
B)
D)
15,000 feet
25,000 feet
If the plane left from Albany International Airport at 7:20 PM, what time would the
plane arrive in Philadelphia?
A)
C)
9:00 PM
8:20 PM
B)
D)
9:20 PM
9:00 AM
11)
12)
The table below displays distance (d) as a function of time (t).
Which one of the following equations represents this function?
A)
C)
t
5
6
7
8
d
70
90
110
130
d = 20t – 30
d = 30t
B)
D)
d = 10t + 20
d = 20t – 10
13)
The table below displays y as a function of x. Which one of
the following equations represents this function?
A)
C)
14)
x
y
2
4
4
8
6
12
8
16
y = 3x – 1
y = 2x
B)
D)
y = 2x + 2
y=x+3
Which of the following equations is TRUE for all the
pairs of values in the table below.
A)
C)
x
f(x)
-4
-37
0
-9
3
12
5
26
6
33
f(x) = 6x – 3
f(x) = 5x + 2
B)
D)
f(x) = 4x – 11
f(x) = 7x – 9
15)
16)
17)
A toy submarine is being used in a local pond. The toy submarines dives can be
modeled using the following equation 𝑑 = 𝑡 2 − 8𝑡, where d is the depth, at time t
minutes after initial plunge.
Use the above equation to solve the following. Be sure to show your work.
a)
What is the depth of the toy submarine at 0 minutes?
Answer _________ feet
b)
What is the depth of the toy submarine at 3 minutes?
Answer _________ feet
c)
What is the depth of the toy submarine at 4 minutes?
Answer _________ feet
d)
What is the depth of the toy submarine at 5 minutes?
Answer _________ feet
e)
What is the depth of the toy submarine at 8 minutes?
Answer _________ feet
f)
What does the answer in Part E mean?
_______________________________________________________________________
18)
Complete the following table, graph, and label the turning point.
x
-2
-1
0
1
2
y = 3x2 - 8
y
(x , y)
19)
Complete the following table, graph, and label the coordinates of each point on the
graph below.
x
-2
-1
0
1
2
y = 6 – 3x
y
(x , y)
20)
Janet watched TV during a six hour period one Saturday and counted the number
of commercials that aired on the Nickelodeon network. Her findings are
represented below.
TV Commercials
On Nickelodeon
Number of
Hours (h)
Number of
Commercials (C)
1
6
2
10
3
14
4
18
Write a function rule for the number of commercials, C, after h hours.
Answer _____________________________________________________________
What will the number of commercials be after 8 hours?
Show your work.
Answer __________________commercials
Would the function rule make sense at 0 hours?
Answer _____________________________________________________________
21)
Eddie collects fossils. He already has 2 and collects 3 more every 2 years.
Part A
On the grid below create a line graph that shows the relationship between the number
of years and the number of fossils Eddie has collected.
Be sure to:
 Title your graph
 Label the axes
 Graph all the data
Part B
How many fossils will Eddie own after 14 years?
Answer ____________ fossils
Part C
When does Eddie have 11 fossils in his collection?
Answer ____________ years