Name _______________________________________ Date ___________________ Class __________________
7.RP.1
1
foot
3
per 3 months. How many feet are eroding
per year?
SELECTED RESPONSE
4. A shoreline is eroding at a rate of
Select the correct answer.
1. A carpenter lays 16 square feet of tile in
2
of an hour. How many square feet of
3
tile does the carpenter lay per hour?
1
foot per year
9
3
foot per year
4
24 square feet per hour
16
2
square feet per hour
3
4
feet per year
3
9 feet per year
32
square feet per hour
3
1
square foot per hour
24
Select all correct answers.
5. A car rental agency initially offers a car
19
that can go 304 miles on
gallons of
2
gasoline. There are other vehicles
available at the agency, shown below.
Which of the other cars have a greater
unit rate of miles per gallon than the
recommended car?
2. Determine the unit rate of a marathon
5
1
runner who travels
miles in
hour.
2
4
10 mi/h
5
mi/h
8
11
mi/h
4
1
mi/h
10
3. One-quarter of a bread recipe calls for
2
cup of bread flour. How many cups are
3
needed per recipe?
1
cup
6
11
cup
12
5
cup
12
8
cups
3
187 miles on
17
gallons
2
357 miles on
21
gallons
2
216 miles on
27
gallons
2
209 miles on
11
gallons
2
115 miles on
5
gallons
2
Match each unit rate with the corresponding situation.
16
1
1
____ 6.
miles per hour
A
mile in
hour
5
2
3
4
1
5
B
mile in
hour
____ 7.
miles per hour
5
4
2
7
2
C
miles in
hour
3
____ 8.
miles per hour
4
5
2
1
1
D
mile in
hour
35
4
10
____ 9.
miles per hour
8
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Grade 7
1
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
14. An experiment measured the evaporation
rates of two liquids, liquid A and liquid B,
at a certain temperature and pressure.
2
5
After
hour,
cup of liquid A
5
9
1
8
evaporated. After
hour,
cup of
3
9
liquid B evaporated.
CONSTRUCTED RESPONSE
10. Derek applies grass seed to
2
acre in
5
3
hour. How many acres can Derek
4
cover per hour?
________________________________________
a. What is the unit rate for the
evaporation of liquid A?
1
11. A convenience store sells
pound of
3
one brand of trail mix for $1.50 and
1
pound of another brand of trail mix for
2
$2.15. Which brand has a lower price per
pound? Explain your reasoning.
________________________________________
b. What is the unit rate for the
evaporation of liquid B?
________________________________________
c. Which liquid evaporated faster and
by how much?
________________________________________
________________________________________
________________________________________
12. Two buckets filled with a liquid are
leaking. The first bucket leaks at a rate of
5
3
gallon per
hour. The second
6
4
3
1
bucket leaks at a rate of
gallon per
8
3
hour. Which container leaks water less
rapidly? Explain your reasoning.
________________________________________
15. Two leaky containers are filling with
water. Water enters container A at a rate
2
1
of
cup per
minute and leaks out at
3
2
1
3
a rate of
cup per
minute. Water
4
4
3
enters container B at a rate of
cup per
4
1
minute and leaks out at a rate of
2
1
3
cup per
minute. Which container
2
4
needs to be filled faster in order for both
containers to gain the same amount of
water per minute? By how much more
water per minute? Explain.
________________________________________
________________________________________
13. Laura decides to walk to her job. She
1
3
walks 1 miles in
hour.
2
5
a. What is Laura’s walking rate?
________________________________________
1
miles away. If she
2
starts walking to her job at 9:00 a.m.
and is scheduled to start working at
11:00 a.m., will she arrive at her job
on time? Explain your reasoning.
b. Laura’s job is 4
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
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Grade 7
3
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
7.RP.2a
2. Tell whether the relationship is a
proportional relationship. Explain why or
why not.
Hours Dollars Earned
4
50.00
5
62.50
6
75.00
7
87.50
8
100.00
SELECTED RESPONSE
Select the correct answer.
1. Tell whether the relationship is a
proportional relationship. Explain why or
why not.
The relationship is proportional
because the ratio of dollars earned to
the number of hours is 12.50.
The relationship is proportional
because the ratio of dollars earned to
the number of hours is 50.
The relationship is proportional
because the ratio of dollars earned to
the number of hours is 100.
The relationship is proportional
because a single line can be drawn
through all the points and the line
passes through the origin.
The relationship is not proportional
because the ratio of dollars earned to
the number of hours is not constant.
Select all correct answers.
The relationship is proportional
because a single line can be drawn
through all the points.
3. Which of the following situations form a
proportional relationship with milk that
costs $3.29 per gallon?
The relationship is not proportional
because a single line can be drawn
through the points but it does not
pass through the origin.
3 gallons of milk for $6.57
4 gallons of milk for $13.16
5 gallons of milk for $16.45
The relationship is not proportional
because a single line cannot be
drawn through all the points.
9 gallons of milk for $29.61
12 gallons of milk for $40.68
4. Which of the following situations form a
proportional relationship?
5 DVDs for $9 and 15 DVDs for $27
6 cups of coffee for $8 and 9 cups of
coffee for $12
3 pocketbooks for $60 and
5 pocketbooks for $90
12 cans for $3 and 30 cans for $7.50
2 ink cartridges for $25 and 4 ink
cartridges for $75
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Grade 7
3
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
8.
CONSTRUCTED RESPONSE
5. A timer is started as a ball is dropped
from a certain height and its velocity
measured. After 0 seconds, the ball is
falling at 0 feet per second. After
2 seconds, the ball is falling at 64 feet per
second. After 3 seconds, the ball is
traveling at 144 feet per second. Is this a
proportional relationship? Explain why or
why not.
a. A video game rental store was
charging $6 per rental. Complete the
table below.
Video games Cost ($)
1
2
3
4
5
b. The store now charges a $5 one-time
fee and then $4 per rental. Complete
the table below.
Video games Cost ($)
1
2
3
4
5
________________________________________
________________________________________
________________________________________
6. What value completes the table to make
the relationship between the two
quantities proportional? Explain your
reasoning.
Items
Weight (oz)
7
31.5
9
40.5
10
?
12
54
15
67.5
c. Graph the points from the first table
on the coordinate plane and draw a
line through them. Repeat this
process for the points in the second
table.
________________________________________
________________________________________
________________________________________
7. The table shows the distance a cheetah
travels. Tell whether the relationship is a
proportional relationship. If so, tell how far
the cheetah travels in 14 seconds.
Time
Distance
(seconds)
(feet)
2
134
3
201
4
268
5
335
6
402
d. Use the graphs to describe whether
each table of values represents a
proportional relationship. Explain.
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
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Grade 7
4
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
7.RP.2b
3. Three tubes of brand A toothpaste cost
$12, five tubes of brand B toothpaste cost
$25, and eight tubes of brand C
toothpaste cost $32. Is the relationship
between the number of tubes of
toothpaste and the cost a proportional
relationship? If it is, give the constant of
proportionality assuming that cost
depends on the number of tubes bought.
SELECTED RESPONSE
Select the correct answer.
1. Tell whether the relationship is a
proportional relationship. If so, give the
constant of proportionality.
The relationship is proportional.
The constant of proportionality is
$4 per tube.
The relationship is proportional.
The constant of proportionality is
$5 per tube.
The relationship is proportional.
The constant of proportionality is
$12 per tube.
The relationship is not proportional.
The relationship is proportional. The
constant of proportionality is 2.5.
Select all correct answers.
The relationship is proportional. The
constant of proportionality is 5.
4. A grocery store offers 4 cans of storebrand vegetables for $3.00. On nearby
shelves, other brands are available at the
prices shown below. Which of the offers
have a unit rate that is less than the
store-brand unit rate?
The relationship is proportional. The
constant of proportionality is 20.
The relationship is not proportional.
2. Find the missing value for the
proportional relationship, in which the
number of cents depends on the number
of minutes.
Minutes
Cents
3
60
7
140
13
16
320
23
460
2 cans for $1.25
3 cans for $2.00
4 cans for $3.20
5 cans for $3.60
10 cans for $7.50
Select the correct answer for each
lettered part.
5. The points (3, 8) and (9, 24) are on the
graph of a proportional relationship.
Determine whether each point belongs on
the same graph.
13
20
20
220
260
a. (0, 0)
Yes
No
b. (1, 3)
Yes
No
c. (6, 16)
Yes
No
d. (12, 32)
Yes
No
e. (27, 192)
Yes
No
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Grade 7
5
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
8. The ratio of the number of players to the
number of soccer teams is constant.
Complete the table using this ratio.
Teams
Players
3
4
5
70
6
8
CONSTRUCTED RESPONSE
6. The amount Antwan earns mowing lawns
depends on the number of hours he
works, and the relationship is
proportional. Antwan earns $69.00 for
working 6 hours. Complete the table.
Then give the value of the constant of
proportionality, and explain its meaning in
this situation.
Time
Earnings
(hours)
(dollars)
3
57.50
8
97.75
11
138.00
9. The table shows prices that three people
paid for the same kind of fresh salmon at
Fiona’s Fish Factory.
Weight, w
Price, p
3 lb.
$29.25
5 lb.
$48.75
8 lb.
$78.00
a. Explain why this is a proportional
relationship.
________________________________________
________________________________________
________________________________________
7. Angela wrote the data values in the table
shown below and claimed that it shows a
proportional relationship.
x
y
10
16.0
14
28.0
18
28.8
________________________________________
b. The equation p  kw shows the
relationship between price p and
weight w. What is the value of the
constant of proportionality k in this
situation? What is the meaning of the
constant of proportionality?
a. Explain why Angela’s claim is not
correct.
________________________________________
________________________________________
________________________________________
c. Fiona’s Fish Factory decides to give
$10 off to everyone who buys
2 pounds of salmon or more. Make a
table showing the prices for buying 3,
5, and 8 pounds of salmon now. Is
the relationship still proportional?
Explain why or why not.
________________________________________
________________________________________
b. There are two ways to change
exactly one cell in the table so that
the table will show a proportional
relationship. Find both ways to do
this. Explain your reasoning.
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
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Grade 7
2
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
7.RP.2c
3. The cost of ham c depends on the weight
w bought. Tell whether the quantities are
in a proportional relationship. If so, write
an equation that represents the
relationship.
Weight, w
Cost, c
(pounds)
(dollars)
2
13.00
3
19.50
4
26.00
5
32.50
SELECTED RESPONSE
Select the correct answer.
1. The graph shows how the number of
people p seated at an event is related to
the number of tables t provided. Tell
whether the quantities are in a
proportional relationship. If so, write an
equation that represents the relationship.
This relationship is proportional. The
2
equation is c 
w.
13
This relationship is proportional. The
equation is c  6.5w.
This relationship is proportional. The
equation is c  13w.
This relationship is not proportional.
1
t
3
proportional; p  3t
proportional; p =
Select all correct answers.
4. Which of the following equations
represent a proportional relationship?
proportional; p  12t
The quantities are not in a
proportional relationship.
y
1
x
2
y5
y  80x
y 
2. Renting a canoe costs $5.00 per hour for
each adult and $2.50 per hour for each
child. One adult and two children decide
to rent a canoe. What is an equation that
shows the relationship between cost c in
dollars and time t in hours?
1
x
y  2x  2
y4x
CONSTRUCTED RESPONSE
5. A car with a diesel engine travels
663 miles using 13 gallons of fuel.
Suppose that the relationship between
the distance traveled and the amount of
fuel used by this car is proportional. Write
an equation to represent this relationship.
Define any variables you use.
c  5.00t  2.50
c  5.00  2.50t
c  7.50t
c  10.00t
________________________________________
________________________________________
________________________________________
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Grade 7
3
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
7. A farmer’s market is selling three different
cheeses. The sign for cheddar states,
“The cost is only $6.25 per pound!”
The sign for mozzarella has the
following table.
Weight
Cost
(pounds)
(dollars)
2
11.00
3
16.50
4
22.00
5
27.50
6. Marsha is selling frozen yogurt at a town
concert to help raise money for the local
library. The earnings for the library y are
proportional to the number of frozen
yogurts x she sells.
a. Complete the table below.
Frozen
yogurts
2
6
Earnings
(dollars)
14
21
28
The sign for provolone, written by a
former algebra teacher, states, “The cost
y for x pounds is given by y  5.75x.”
10
b. What is an equation for the
relationship?
a. Find the equation that gives the cost
y of buying x pounds of cheddar.
Explain.
________________________________________
c. Plot the points from part a and draw
the line of the equation from part b
onto the graph below.
________________________________________
________________________________________
________________________________________
________________________________________
b. Find the equation that gives the cost
y of buying x pounds of mozzarella.
Explain.
________________________________________
________________________________________
________________________________________
________________________________________
d. If Marsha wants to raise $245 for the
library, how many frozen yogurts
would she have to sell? Explain how
you found your answer.
c. Order the cheeses from least to most
expensive. Explain your answer.
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
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Grade 7
2
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
7.RP.2d
3. The graph below shows the relationship
between the number of dogs and the
number of cats. What does the point
(9, 36) represent?
SELECTED RESPONSE
Select the correct answer.
1. The ordered pairs show equal amounts of
money in U.S. dollars and euros.
What other ordered pair on this graph
would show the unit rate? What does the
ordered pair represent in this situation?
There are 9 dogs when there are
9 cats.
There are 36 cats when there are
9 dogs.
(1, 0.78); 0.78 dollar equals 1 euro.
(1, 0.78); 0.78 euro equals 1 dollar.
There are 36 dogs when there are
9 cats.
(1, 1.28); 1.28 dollars equals 1 euro.
There are 36 dogs when there are
36 cats.
(1, 78); 78 euros equals 1 dollar.
2. The graph below shows the relationship
between the time in hours and the area
mowed in acres. What point means
mowing 8 acres in 5 hours?
Select all correct answers.
4. Each of the following points is on a graph
of a proportional relationship. Which of
the following points are on a line with a
unit rate that is less than 1?
(1, 2)
(1, 1)
(1, 0.5)
(1, 20)
(1, 0.1)
(0, 0)
(5, 8)
(1, 1.6)
(8, 5)
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Grade 7
3
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
7. The graph below shows the proportional
relationship between the number of
square yards of fabric and the cost in
dollars. Does the line going through the
point (0, 0) make sense? Explain your
reasoning.
CONSTRUCTED RESPONSE
5. The graph below shows the relationship
between the number of theater tickets
bought and the cost. What is the ordered
pair that has an x-coordinate of 1? What
is the meaning of that ordered pair?
________________________________________
________________________________________
________________________________________
8. Think of a reasonable proportional
relationship whose graph contains the
point (2, 120). Provide the appropriate
labels for the axes of the graph below.
________________________________________
6. Kim is running in a race. The number of
miles she runs and the number of
minutes it takes to run them are in a
proportional relationship. Determine an
equation that reasonably represents this
relationship and draw the line onto the
graph below. Plot the points where
x  0, x  1, and a third point on the
line. Then describe what the three
points mean.
Explain what the ordered pairs (2, 120)
and (0, 0) mean in the situation you
provided. Then find the ordered pair on
the line that has an x-coordinate of 1 and
explain what that ordered pair means in
your situation.
________________________________________
________________________________________
________________________________________
________________________________________
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Grade 7
4
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
7.RP.3
SELECTED RESPONSE
Select all correct answers.
Select the correct answer.
5. Each of the following bills is late. Which
of the following situations charges a fee
that is greater than 5%?
1. The tip for excellent service in a
restaurant is $20 for every $100 of the
meal. What is the total bill (cost of meal
plus tip) for a $60 meal?
A $150 bill totals $154.50 with fee.
A $40 bill totals $41.60 with fee.
$12.00
A $120 bill totals $132.00 with fee.
$48.00
A $220 bill totals $237.60 with fee.
$72.00
A $410 bill totals $418.20 with fee.
$120.00
Match the situation with the percent
of discount.
2. A department store has a discount on
shoes based on a percentage of the
price. Suppose one pair of shoes is
marked down from $70 to $49. What is
the price for a $110 pair of shoes after
the discount is applied?
A
B
C
____ 7. A $98.00 power inverter
D
is on sale for $78.40.
E
____ 8. A $44.00 video game
F
is on sale for $28.60.
____ 6. A $55.00 purse is on
sale for $30.25.
$89.00
$77.00
$73.33
20%
25%
30%
35%
40%
45%
____ 9. A $37.50 dress is on
sale for $26.25.
$33.00
3. The number of fans who attended a
softball game increased from 1,200 for
the first game to 1,500 for the second
game. How many fans will attend the
third game if the same percent
increase occurs?
CONSTRUCTED RESPONSE
10. The sales commission is 10% at an
electronics store. How much does Saul
have to sell in 22 hours to earn $12.50
per hour from commission? Explain.
375
1,800
________________________________________
1,875
________________________________________
2,700
________________________________________
4. Isabella earns simple interest on her
savings account. She deposits $1,200
into her account and will have $1,344
after 2 years. How much will Isabella
have in her account 7 years after her
initial deposit?
11. A $45.00 purchase in Iowa totals $47.70
with tax and a $35.00 purchase in
Tennessee totals $37.45 with tax. Which
state has a greater sales tax percentage?
Explain your reasoning.
$1,704
________________________________________
$1,848
________________________________________
$2,208
________________________________________
$4,704
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Grade 7
5
Common Core Assessment Readiness
Name _______________________________________ Date ___________________ Class __________________
12. Amanda measures the top of an 80 cm
desk to be 82.4 cm. Dwayne measures
the height of a 140 cm cabinet to be
137.2 cm. Which student has a greater
percent error? Explain your reasoning.
15. Ray owns property that had a value last
year of $164,000. Ray paid $3,280 in
property tax to his city last year.
a. Find the property tax rate last year.
________________________________________
________________________________________
b. The city increases its property tax
rate by 10% of last year’s rate. Find
this year’s property tax rate.
________________________________________
13. Chelsea deposits $600.00 into a bank
account and is earning simple interest
from the bank. After 4 years, her account
has a balance of $621.60. If Chelsea
decided to put $1,100.00 into the account
instead of $600.00, how much would she
have after 7 years? Explain.
________________________________________
c. Ray’s property value decreased after
an assessment this year to $135,000.
Find Ray’s property tax this year.
________________________________________
d. How is it possible that Ray’s property
tax is less this year even though the
property tax rate increased?
________________________________________
________________________________________
________________________________________
________________________________________
14. Carlos’s family had breakfast at one
restaurant and dinner at another
restaurant while on vacation. The service
during breakfast was terrible and the cost
for the meal was $44.50. Carlos’s total bill
(cost of meal and tip) was $49.84. The
service during dinner was excellent and
the cost for the meal was $57.50.
________________________________________
16. Jasmine owns a jewelry store and marks
up the price from the distributor to earn a
profit. She buys a necklace for $100, a
pair of earrings for $130, and a ring for
$160. She wants to earn at least $40 on
each of the items but does not want to
mark up any price by more than $80.
a. What was the percentage of the tip
for breakfast?
a. What is the range of percents that
Jasmine can mark up each item so
that it fits into her criteria?
________________________________________
b. Carlos decided the tip’s percentage
for dinner should be 50% more than
the tip’s percentage for breakfast.
What percent did Carlos give for a tip
during dinner?
________________________________________
b. Suppose Jasmine wants to mark up
all 3 items using the same percent
but also maximize her profit. What
percent should she use?
________________________________________
________________________________________
c. What was the amount of the tip and
the total bill (cost of meal and tip) for
dinner using the percentage of the tip
from part b?
c. Using the percent from part b, find
each marked up price.
________________________________________
d. Using the results from part c, find her
total profit.
________________________________________
________________________________________
________________________________________
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Grade 7
6
Common Core Assessment Readiness