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PLATO Course Math 7, Semester A v2.0 > Review Unit 1 - Post Test
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Question 1
Type the correct answer in the box. Use numerals instead of words. If necessary,
use / for the fraction bar.
Zaire uses 1/5 of a gallon of gasoline to drive a distance of 8 ½
rate, how many miles can she drive on 1 gallon of gas?
Zaire can drive
miles. At this
miles on 1 gallon of gas.
Question 2
Alexus is the owner of a major paper mill. She’s watching over one of
her holding tanks. It takes 9/10 of an hour to fill 1/2 of the tank. At this
rate, how many holding tanks will she fill in 1 hour?
Question 3
Select the correct answer.
Josh owns company that makes uniforms for spots teams. He is making some shirts for The
Miami Dolphins. The fabric company has 6
2
5
yards of the fabric needed in stock. But this
quantity of fabric can make only 10 ¼ shirts. What length of fabric does Josh need to buy if she
wants to make 46 shirts for the team?
Question 4
.
Bunny uses 2/5 of a gallon of paint to cover 9/10 of a wall. What is the unit rate
at which Bunny paints in walls per gallon?
Question 5
Larriona wants to buy a book store. Last year, sales at a book store downtown
increased from $6,000 to $12,000. This year, sales decreased to $12, 000 from
$6,000. What percentage did sales increase last year? What percentage did sales
decrease this year?
Sales increased ________________% last year, from $6,000 to $12,000. When
sales dropped from $6,000 to $12,000 this year, sales
decreased ______________% .
Question 6
Maura’s factory produced 215 tons of steel in one year. The next year,
the output increased to 250 tons. What is the percentage increase in the
output?
Question 7
Chloe paid $105 at a restaurant. That amount included a 20% tip. What was the
check amount before the tip?
Question 8
What x-value makes the set of ratios equivalent?
Pairs
5:7= 20: x
3: 8= x: 24
2x : 36 = 2:12
24:30= x: 40
Question 9
Jaylon and his family are using a map to drive down to Texas. On the map, the
distance is given by the equation c = 3.9m, where c is the number of
centimeters on the map and m is the corresponding real-world distance in
miles. If they cover a distance of 54 miles, that would mean a distance
of _______________ centimeters on the map.
Question 10
Type the correct answer in the box. Use numerals instead of words. If necessary,
use / for the fraction bar.
Takaila, a self-made billionaire, is using her brains and wealth to make the world
better for everyone. She has started her own internet company that offers service
anywhere in the world. Her goal was to make internet affordable for children
anywhere. She will then set up internet stations around the world where children
can go and use computers for free. Customers are charged for service based on the
equation b = 0.75t, where b is the bill amount and t is the number of years of
internet.
The constant of proportionality in terms of cost per year of internet is
.
Question 11
Yaritza can calculate 2/3 of an end of the year report 2 hours. If d represents the
number of reports and h represents the number of hours, which equation represents
this proportional relationship? d=?
Question 12
Nicholas has invented a new app for mobile phones. It is taking off and many
people are buying it. The number of people buying it is given by the
equation b=56h, where b is the number buyers and h is the number of hours. How
many hours would it take to sell this to 280 people?
Question 13
Select all the correct locations on the graph.
A group of friends is attempting free throws on a basketball court. The table shows
the number of attempts and the number of baskets each player made.
Name Attempts Baskets Made
Finn
8
6
Michael
9
8
Jeff
4
3
Tanner
3
2
Kevin
6
3
Tristan
5
5
The players’ attempts and baskets made are plotted on the graph. Draw the graph
and determine which players had the same ratio of attempts to baskets, and select
their corresponding points on the graph.
Question 14
Select the correct answer.
Three museums charge an entrance fee based on the number of visitors in the
group. The table lists the fees charged by the museums. At which museum is the
entrance fee proportional to the number of visitors?
Museum A
Museum B
Museum C
Visitors Fee ($) Visitors Fee ($) Visitors Fee ($)
2
4
1
2
3
4
3
5
4
8
12
16
4
6
6
11
18
24
Question 15
Trinity has her own million dollar pizza chain. She wants to open a new one so she traveled to
five different areas (A, B, C, D, and E) to study the number of college kids and the number pizza
restaurants in each area.
Area Pizza Barbeque
A
30
32
B
54
72
C
24
50
D
48
64
E
88
66
The relationship between the number of college kids and the number of pizza places is not
proportional across all areas. Which two areas have college kids and pizza places in the same
proportion?
Question 17
https://learnzillion.com/lessons/874-identify-the-constant-of-proportionality-ingraphs
Gabriel is the CEO of a major can factory. The can factory requires 2 sheets of
metal to make 108 cans and 30 sheets of metal to make 540 cans. The
proportionality constant between the number of cans made and the number of
sheets of metal used is _____________________ .
Question 18
Type the correct answer in the box. Use numerals instead of words. If
necessary, use / for the fraction bar.
Professor Braedyn Sprouse is giving a lecture in his Cal Tech class. The
graph shows a proportional relationship between the cost of the force to
move an object (y-axis) and how far the object moved – which is called
displacement in physics (x-axis).
The proportionality constant (y to x) is
.
Question 19
Jaylon is a sports scientist working for a major cleat making company. He has studied the
distance a runner travels and the number of seconds it takes. The table shows a proportional
relationship between the distance a runner travels and the time it takes. What is the
proportionality constant in yards per second?
Time (seconds)
Distance (yds)
5
27.5
12
66
15
82.5
Question 20
Select the correct answer.
T J is a self-made millionaire. As an entrepreneur he is looking to start a new snack product. One
of the bakers that works for him has come up with a recipe and his children like it the most. The
table below shows different quantities of flour and the number of cookies that can be made with
each quantity of flour. If the relationship between the cups of flour and the number of cookies is
proportional, find the value of x.
Flour (cups)
9 18 36
Cookies (dozens) 12
x 48
Question 21
Erick has invented a new way of transportation that does not require tires and is keeps passengers
100% safe in any circumstance. The graph below shows the proportional relationship between
the distance his invention travels and the fuel it uses in gallons.
Based on the graph, the car requires _____________________ gallons of fuel to travel 240
miles.
Question 22
Select the correct location on the graph.
Diego owns the best soccer team in the world. He is being sent equipment from companies that
want to sponsor his players. He has takreceived several boxes of soccer balls. The graph shows
the relationship between the number of soccer balls and the number of boxes. Which point shows
how many soccer balls are in 4 boxes? 5 boxes? 6 boxes?
Question 23
Select the correct answer.
Esmerelda is a senator and is ready to pursue the quest to become president of the United States.
Her millions of supporters are making campaign T-shirts that say “ She made it to the top and
she can do the same for you!” The graph shows the total price for the shirts depending on how
many T-shirts her campaign managers buy. What is the price of 8 T-shirts? How about 9 Tshirts? How about 10? What is the constant of proportionality here?