PA Unit 1 Post Test
Class Period:
Name:
Date:
SHOW ALL WORK! You will not be given full credit (or any partial credit) if you do not show all of your work.
Any question you do not know how to answer must be followed with a "how do I" question.
1.
Solve for a:
4 16
=
a 24
4.
A new car averages 45 miles on a gallon of
gasoline.
a) Describe the relationship between the
total number of gallons used and the
total miles traveled.
b) Write an equation to represent how many
miles (M) the car can travel on g gallons
of gas.
Hint: Use a chart to help you
relationship.
2.
A racquetball club membership costs $22.50
per month. What would a year's membership
cost?
A.
$283
B.
$270
C.
$225
D.
none of these
5.
6.
3.
nd the
One thousand dollars worth of $20 bills makes
a stack 10 cm high. If an ATM machine can
hold a stack of $20 bills that is 1.8 meters
high, what is the dollar amount that the ATM
machine can hold?
A bicycle helmet is priced at $18.50. If it is
on sale for 10% o and there is 7% sales tax,
how much will it cost after tax?
A.
$16.59
B.
$17.21
C.
$17.82
D.
$19.06
A ship sailing at 8 nautical miles per hour is
traveling 13.5 feet per second. Another ship
sailing at 32 nautical miles per hour is going
54 feet per second. The ratio of feet per
second to nautical miles per hour in each case
is which of the following?
A.
1
4
B.
16
27
C.
16
9
D.
27
16
***You may have seen a similiar question on
your quiz!
page 1
7.
10.
Mr. Gibbs hired a teen to do yardwork for
$8.75 an hour. The teen worked for 1 hour
and 20 minutes. How much should Mr. Gibbs
pay the teen?
8.
Alvin picked up a part time job processing
medical bills for a nearby clinic. He earns
$0.72 for each bill he processes. If he
processes 80 bills today, how much will he
earn?
A.
$57.60
B.
$63.30
C.
$69.70
D.
none of these
Choose the correct proportion to solve this
problem: At an animal shelter every 2 out of
3 animals are dogs. If there are 45 animals at
the shelter, how many are dogs?
A.
2
3
=
45 n
B.
45 n
=
2
3
C.
2
n
=
3 45
D.
3
n
=
2 45
11.
A girl 5 ft tall is standing near a tree 30 ft
high. If the girl's shadow is 4 ft long, what is
the length of the shadow of the tree?
12.
Solve for u:
A.
9.
Felipe needed to estimate how much water
he needed to irrigate his sweet potatoes. He
estimated the eld to be 250 feet long and
85 feet wide. The actual length is 240 feet
and the actual width is 100 feet. What was
the percent error in Felipe's calculation of the
area of the eld (to the nearest hundredth)?
A.
11.23%
B.
11.46%
C.
12.64%
D.
14.55%
Class Period:
13.
1.3
u
35
=
0:9 21
B.
1.5
C.
13
D.
17
The scale on a map uses 1 inch to represent
15 miles. Which proportion could be used to
determine the number of inches needed to
represent 75 miles?
Hint: Write your proportion FIRST, label
everything!
page 2
A.
75
1
=
15
x
B.
1
x
=
15 75
C.
x
15
=
75
1
D.
1 75
=
x
15
PA Unit 1 Post Test
14.
Samantha is investing $7000 in a savings
account that earns 4% simple annual interest.
How much interest will she earn after 5 years?
A.
$140.00
B.
$1400.00
C.
$2800
D.
$3500
18. A cookie recipe is as follows:
1
2
3
4
cup butter
cup brown sugar
1 egg, beaten
1 cup our
1
2
tsp nutmeg and cinnamon
1 tsp baking soda dissolved in
water
1 cup raisins
1
2
15.
Tanya spent 40% of the money she received
on her birthday. What fraction of her money
did she not spend?
A.
16.
3
4
B.
3
5
C.
3
8
D.
cup hot
cup walnuts
This recipe makes about 1 21 dozen cookies.
If a store plans to use this recipe and wants
to sell 525 dozen cookies per month then
how much of each ingredient should the store
order?
3
10
During one grading period Daniel's grade
average dropped to 75. He set a goal to raise
his average to 78 for the next grading period.
By what percent must Daniel raise his grade
average?
19.
A.
17.
1
6
4%
B.
5%
C.
6%
D.
Mrs. Mello told Rashid that the score on his
current quiz was 40% better than his previous.
If Rashid had a score of 50 on his previous
quiz, what is his current quiz score?
A.
60 points
B.
70 points
C.
75 points
D.
80 points
Class Period:
Which statement below is not true?
7%
page 3
A.
A car traveling 55 mph will cover a
distance of 550 miles in 10 hours.
B.
A boat cruising at a speed of 3 miles
per 20 minutes will cover a distance of
9 miles in one hour.
C.
A cyclist going at a rate of 2 miles every
15 minutes will travel 8 miles in one hour.
D.
Walking a mile in 12 minutes is the same
as walking 6 miles per hour.
PA Unit 1 Post Test
20.
Crystal batted 24 times during baseball season.
She got on base 3 times by line drives, 7 times
by ground balls, and 5 times by y balls.
What percent of the time did Crystal go to bat
and not get on base?
A.
77.5%
B.
63.5%
C.
45.5%
D.
37.5%
22.
23.
21.
The graph below depicts the approximate
relationship between liters and gallons.
Select the correct proportion from the
following.
A.
5
12
C.
6
9
?
=
?
=
10
25
12
18
?
12
27
?
9
6
B.
3
7
=
D.
6
9
=
Great Ideas Bookshop displays 100 books.
Of those, 40 are biographies. Wide Horizon
Books displays 200 books. Of their books, 70
are biographies. Which book store displays the
higher percentage of biographies?
A.
Wide Horizon because 70 > 35
B.
40
Wide Horizon because 100
= 40%,
70
200 = 35%, and 40% > 35%
C.
Great Ideas because
and 20% > 10%
D.
Both stores have the same percentage
40
70
because 100
= 200
40
100
= 20%,
70
200
= 10%,
According to the graph, one gallon is
approximately how many liters?
24.
A.
3.75
Class Period:
B.
3.0
C.
3.5
D.
Which ratio is not equivalent to 8 : 5?
4.0
page 4
A.
18 : 15
B.
24
15
C.
40
25
D.
32 : 20
PA Unit 1 Post Test
25.
Amtrak fares will increase 8% next month.
Approximately how much will a ticket to New
York which now sells for $419.90 cost next
month?
A.
26.
$380
B.
James got a
music store.
$400
C.
$450
D.
27.
$490
A 20-pound bag of fertilizer costs $19.60.
What is the cost per pound?
A.
$98.00
B.
$9.80
C.
$1.02
D.
$0.98
yer advertising a sale at the
Special – Used CDs
Any 2 for $9.98
28.
(while supplies last)
Wa es are made with 2 12 cups water and
1 12 cups milk. What is the ratio of water to
milk?
What would be the cost of 5 CDs?
A.
$10.00
B.
$24.95
C.
$45.98
D.
$49.90
Class Period:
page 5
PA Unit 1 Post Test
29.
Rodolfo and Jack will make potato skins to serve at a welcome home party for their brother returning
from overseas military service. The teens can buy a ve-pound bag of potatoes for $4.79 or buy single
potatoes for $0.89 per pound.
Jack said they should buy the bag since food packaged in bags is usually a better deal. Being skeptical,
Rodolfo did a few calculations and suggested buying potatoes by the pound because it is a better value.
Jack is also skeptical and asked to see Rodolfo's calculations.
a. Explain which is a better value and why.
30.
Ron tested a toilet as part of the production
process.
31.
Use the information below to answer the
following question(s).
The graph represents the amount of rice in
take-out pails.
At what rate does the toilet use water?
A.
0.6 gallons per ush
B.
1.6 gallons per ush
C.
8 gallons per ush
D.
5 gallons per ush
Class Period:
Which of these describes the meaning of the
point (0; 0) on the graph?
page 6
A.
(0 take out pails, 0 dollars)
B.
(0 dollars, 0 take out pails)
C.
(0 take out pails, 0 grams)
D.
(0 grams, 0 take out pails)
PA Unit 1 Post Test
32.
33.
34.
35.
What are two numbers that have a ratio equal
10
to 15
?
A.
2 and 3
B.
2 and 5
C.
10 and 25
D.
1 and 3
36.
It took Steve 8 hours to mow 26 acres of
grass on a golf course. Which equation best
represents the situation if M is the number of
acres Steve mows per hour?
A.
8M = 26
B.
8 + M = 26
C.
M
D.
M
= 26
8
8 = 26
37.
Eduardo says that an increase from 10 to 40
is 300% and, therefore, a decrease from 40 to
10 must be a 300% decrease. Do you agree
with Eduardo? Explain your reasoning.
Sam bought a video for $20.00 plus sales tax
of 8%. What was the amount of tax paid?
A.
$1.20
Class Period:
B.
$1.40
C.
$1.60
D.
$2.40
Which proportion is equivalent to wx = yz?
A.
w y
=
x
z
B.
x w
=
y
z
C.
w x
=
z
y
D.
w z
=
y
x
Zaria bought a $75.00 gift for a friend over the
internet. When she received her credit card
statement she found out that the company
had added $9.75 for shipping and handling.
What was the shipping and handling charge as
a percent of the original cost of the gift?
A.
13%
B.
16%
C.
18.5%
D.
17 12 %
38.
Kenny eats an average of 5 13 boxes of cereal
every two months. At this rate, how many
boxes of cereal will Kenny eat in one year?
39.
Circle A has a diameter that is 3.5 times larger
than the diameter of Circle B. What is the
ratio of the area of the larger circle to the
smaller circle?
Hint: Use real numbers.
page 7
PA Unit 1 Post Test
40.
Haley hopes to attend college at a NCAA
Division I school. She researched the
admission data of four such schools and
displayed it in a table.
College
43.
Mr. Cepeda displayed a graph of the mass
of petroleum in various volumes of tanks.
Petroleum is used mainly to produce fuel oil,
the world's largest source of energy.
Applications Admissions
University of Arizona
26,629
20,068
University of Kentucky
13,537
9,275
UNC Chapel Hill
22,288
7,552
Syracuse University
25,884
12,779
2011 data
About what percentage of applicants are
admitted to the University of Kentucky?
A.
69%
B.
31%
C.
34%
D.
49%
What does the point (500; 440) mean in terms
of the graph?
41.
42.
A car travels 210 miles in 3 12 hours. How fast
is this in feet per second?
A.
in a 500 gram tank, there are 440 cm3
petroleum
B.
in a 500 cm3 tank, there are 440 grams
petroleum
C.
in a 440 cm3 tank, there are 500 grams
petroleum
D.
in 500 cm3 petroleum, the mass of the
tank is 440 grams
For what value of k will the points (3; 5) and
(9; k) represent a direct variation?
44.
Hint: Set your problem up as a fraction.
A.
9
B.
10
C.
15
D.
Marla bought a new coat for $198. The sales
tax was 7.5%. What is the best estimate for
the amount of sales tax?
16
A.
Class Period:
page 8
$10
B.
$12
C.
$15
D.
$18
PA Unit 1 Post Test
45.
When purchasing uniforms for the basketball
team, Coach Wilson is o ered a 10% discount
and a 15% discount to be taken in any order.
Which should he ask for rst in order to get
the lower price?
48.
Hint: Use real numbers.
Ernie works at mu n factory, and his job is to
make the batter. The recipe calls for 42 cups
of our and 18 eggs. One day, Ernie starts to
measure out our, but runs out after 91 cups.
If he wants to nish making the mu n batter
and stay as close as possible to the recipe,
how many eggs should he add?
A.
46.
39
B.
51
C.
55
D.
61
Melanie found that she uses the same ratio of
ingredients in two di erent cookie recipes.
The ratio of dark chocolate to coconut in Big
Island Cookies is the same as the ratio of milk
chocolate to almonds in Ball Park Cookies.
49.
Write a proportion to show the ratios are
equivalent. Use the following variables to
represent each ingredient.
A stack of 12 sheets of gypsum board are
10.5 inches thick. If all the boards are
uniform, how thick is each board?
dark chocolate, d
A.
5.75 inches
B.
1.275 inches
coconut, c
C.
0.875 inches
D.
none of these
milk chocolate, m
almonds, a
Write another equation that is equivalent to
the one you wrote.
Hint: Use real numbers, and then substitute the
variables.
50.
47.
The Washington family had dinner at a
resturant, and the bill was $85.00. They gave
their server a $13.60 tip. What percent of the
cost of the meal did they leave as a tip?
A.
13%
B.
16%
C.
18.5%
D.
17 12 %
Class Period:
The table shows the amounts earned from
selling copies of four recipe books.
Book Title
Copies Sold
Amount
Quick Desserts
50
$300.00
Lean Meals
35
$175.00
Master the Grill
40
$160.00
Easy Appetizers
10
$20.00
According to the data, which recipe book costs
the most?
page 9
PA Unit 1 Post Test
Problem-Attic format version 4.4.236
c 2011–2015 EducAide Software
_
Licensed for use by Kerry Christopher
Terms of Use at www.problem-attic.com
Class Period:
1.
Answer:
Objective:
PA Unit 1 Post Test
01/20/2016
7.RP.3
14.
Answer:
Objective:
B
7.RP.3
2.
Answer:
Objective:
B
7.RP.1
15.
Answer:
Objective:
B
7.RP.3
3.
Answer:
Objective:
$18,000
7.RP.3
16.
Answer:
Objective:
A
7.RP.3
4.
Answer:
Objective:
Varies directly; M = 45g
7.RP.2C
17.
Answer:
Objective:
B
7.RP.3
5.
Answer:
Objective:
C
7.RP.3
6.
Answer:
Objective:
D
7.RP.2B
7.
Answer:
Objective:
8.
Answer:
Objective:
9.
Answer:
Objective:
10.
Answer:
Objective:
$11.67
7.RP.1
A
7.RP.1
B
7.RP.3
C
7.RP.2C
11.
Answer:
Objective:
24 feet
7.RP.3
12.
Answer:
Objective:
B
7.RP.3
13.
Answer:
Objective:
B
7.RP.2C
18.
Answer:
Objective:
175 cups butter, 175 cups walnuts,
175 tsp nutmeg and cinnamon,
262.5 cups brown sugar, 350 eggs,
350 cups our, 350 cups raisins,
350 tsp baking soda
7.RP.3
19.
Answer:
Objective:
D
7.RP.3
20.
Answer:
Objective:
D
7.RP.3
21.
Answer:
Objective:
A
7.RP.2B
22.
Answer:
Objective:
C
7.RP.2A
23.
Answer:
Objective:
B
7.RP.3
24.
Answer:
Objective:
A
7.RP.2A
25.
Answer:
Objective:
C
7.RP.3
26.
Answer:
Objective:
B
7.RP.3
Teacher's Key
27.
Answer:
Objective:
28.
Answer:
Objective:
29.
Answer:
Objective:
30.
Answer:
Objective:
D
7.RP.1
42.
Answer:
Objective:
C
7.RP.2B
7.RP.1
43.
Answer:
Objective:
B
7.RP.2D
44.
Answer:
Objective:
C
7.RP.3
single potatoes are $0.89/lb and bag
potatoes are $0.96/lb; $4.45
7.RP.2B
45.
Answer:
B
7.RP.2D
Objective:
46.
Page 2
either order results in the same
amount
7.RP.3
31.
Answer:
Objective:
C
7.RP.2D
Answer:
Objective:
d m
= ; da = mc
c
a
7.RP.2C
32.
Answer:
Objective:
A
7.RP.2A
47.
Answer:
Objective:
B
7.RP.3
33.
Answer:
Objective:
A
7.RP.2C
48.
Answer:
Objective:
A
7.RP.3
34.
Answer:
Objective:
No
7.RP.3
49.
Answer:
Objective:
C
7.RP.1
35.
Answer:
Objective:
C
7.RP.3
50.
Answer:
Objective:
7.RP.2B
36.
Answer:
Objective:
D
7.RP.2A
37.
Answer:
Objective:
A
7.RP.3
38.
Answer:
Objective:
32 boxes
7.RP.1
39.
Answer:
Objective:
12:25 : 1
7.RP.3
40.
Answer:
Objective:
A
7.RP.3
41.
Answer:
Objective:
88 feet per second
7.RP.3