1.
Express the rate 40 students to 8 teachers as a unit rate.
A.
12 students per teacher
B.
4 students per teacher
C.
10 students per teacher
D.
5 students per teacher
Hint
2.
Express the ratio 6 cups to 40 cups in simplest form.
A.
B.
C.
D.
Hint
3.
On a map with a scale of 1 inch = 80 miles, the distance between two towns is 4 inches. If a person travels 65 miles per hour, how long will it take to travel from one town to the other?
A.
about 12 hours
and 30 minutes
B.
about 5 hours
and 20 minutes
C.
about 4 hours
and 55 minutes
D.
about 16 hours
and 15 minutes
Hint
4.
The figure is a scale drawing of the east side of a house. In the drawing, the side of each square represents 4 feet. Find the width and height of the door.
A.
4 feet by 12 feet
B.
4 feet by 10 feet
C.
4 feet by 9 feet
D.
4 feet by 8 feet
Hint
5.
The process of enlarging or reducing an image is called a(n)
A.
image
B.
dilation
C.
scale factor
D.
illusion
Hint
6.
Solve
.
A.
x
= 35
B.
x
= 28
C.
x
= 7
D.
x
= 14
Hint
7.
Solve
.
A.
r
= 25.2
B.
r
= 20.5
C.
r
= 8.4
D.
r
= 27.1
Hint
8.
P
and
T
are corresponding angles of similar triangles. Find the value of
x
if
m
P
= 6
x
° and
m
T
= 78°.
A.
x
= 10
B.
x
= 15
C.
x
= 13
D.
x
= 18
Hint
9.
LMN
and
PQR
are similar. Find the value of
x
.
A.
x
= 9
B.
x
= 12
C.
x
= 11
D.
x
= 10
Hint
10.
A lamppost has a shadow that is 2 m long. A street sign has a shadow that is
m long. If the street sign is 2 m tall, how tall is the lamppost?
A.
m
B.
3
m
C.
1
m
D.
5
m
Hint
11.
An office building casts a shadow that is 15 feet long. A nearby tree casts a shadow that is 2.5 feet long. If the tree is 5 feet tall, how tall is the office building?
A.
7.5 feet
B.
17.5 feet
C.
25 feet
D.
30 feet
Hint
12.
A projector displays an image from 25-millimeter film onto a screen that is 3.5 meters wide. What is the scale factor?
A.
B.
C.
D.
Hint
13.
The table compares the age of a cat to the age of a human. Find the rate of change in human years between a cat’s age of 1 and 6?
A.
5 human years per year
B.
4 human years per year
C.
5.7 human years per year
D.
4.5 human years per year
Hint
14.
The owner of a house graphed the value of her home starting in 1997. Find the rate of change in value from 2000 to 2003.
A.
$500 per year
B.
$4,500 per year
C.
$1,000 per year
D.
$1,500 per year
Hint
15.
The graph shows the distance traveled by some hikers. Interpret the meaning of the slope as a rate of change.
A.
The hikers have traveled a total of 6 miles.
B.
The hikers are traveling at a rate of 6 miles per hour.
C.
The hikers are traveling at a rate of 3 miles per hour.
D.
The hikers have traveled a total of 3 miles.
Hint
16.
Kata has a part time job. The graph shows the amount she makes. Interpret the meaning of the slope as a rate of change.
A.
Kata earns $30 per hour.
B.
Kata earns $10 per hour.
C.
Kata earns $10 for her work.
D.
Kata earns $30 for her work.
Hint