Grade 7 1 Common Core Assessment Readiness

Name Date Class

7.RP.1

Name Date Class

Selected Response

Select the correct answer.

1. A carpenter lays 16 square feet of tile in of an hour. How many square feet of tile does the carpenter lay per hour?

24 square feet per hour

square feet per hour

square foot per hour

2. Determine the unit rate of a marathon runner who travels miles in hour.

10 mi/h mi/h

mi/h mi/h

3. One-quarter of a bread recipe calls for
cup of bread flour. How many cups are needed per recipe?

cup cup

cup cups

4. A shoreline is eroding at a rate of foot per 3 months. How many feet are eroding per year?

foot per year

feet per year

9 feet per year

Select all correct answers.

5. A car rental agency initially offers a car that can go 304 miles on gallons of 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?

187 miles on gallons

357 miles on gallons

216 miles on gallons

209 miles on gallons

115 miles on gallons

Grade 7 1 Common Core Assessment Readiness

Name Date Class

Match each unit rate with the corresponding situation.

6. miles per hour
7. miles per hour
8. miles per hour
9. miles per hour / A mile in hour
B mile in hour
C miles in hour
D mile in hour

Grade 7 1 Common Core Assessment Readiness

Name Date Class

Constructed Response

10. Derek applies grass seed to acre in
hour. How many acres can Derek cover per hour?

11. A convenience store sells pound of one brand of trail mix for $1.50 and
pound of another brand of trail mix for $2.15. Which brand has a lower price per pound? Explain your reasoning.

12. Two buckets filled with a liquid are leaking. The first bucket leaks at a rate of gallon per hour. The second bucket leaks at a rate of gallon per hour. Which container leaks water less rapidly? Explain your reasoning.

13. Laura decides to walk to her job. She walks miles in hour.

a. What is Laura’s walking rate?

b. Laura’s job is miles away. If she 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.

14. An experiment measured the evaporation rates of two liquids, liquid A and liquid B, at a certain temperature and pressure. After hour, cup of liquid A evaporated. After hour, cup of liquid B evaporated.

a. What is the unit rate for the evaporation of liquid A?

b. What is the unit rate for the evaporation of liquid B?

c. Which liquid evaporated faster and by how much?

15. Two leaky containers are filling with water. Water enters container A at a rate of cup per minute and leaks out at a rate of cup per minute. Water enters container B at a rate of cup per minute and leaks out at a rate of
cup per minute. Which container 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.

7.RP.2a

Grade 7 3 Common Core Assessment Readiness

Name Date Class

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 a single line can be drawn through all the points and the line passes through the origin.

The relationship is proportional because a single line can be drawn through all the points.

The relationship is not proportional because a single line can be drawn through the points but it does not pass through the origin.

The relationship is not proportional because a single line cannot be drawn through all the points.

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

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 not proportional because the ratio of dollars earned to the number of hours is not constant.

Select all correct answers.

3. Which of the following situations form a proportional relationship with milk that costs $3.29 per gallon?

3 gallons of milk for $6.57

4 gallons of milk for $13.16

5 gallons of milk for $16.45

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

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.

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

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 (seconds) / Distance (feet)
2 / 134
3 / 201
4 / 268
5 / 335
6 / 402

8. 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

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.

d. Use the graphs to describe whether each table of values represents a proportional relationship. Explain.

7.RP.2b

Grade 7 5 Common Core Assessment Readiness

Name Date Class

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 2.5.

The relationship is proportional. The constant of proportionality is 5.

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

220

260

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.

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.

Select all correct answers.

4. A grocery store offers 4 cans of store-brand 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?

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.

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

Grade 7 5 Common Core Assessment Readiness

Name Date Class

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
(hours) / Earnings
(dollars)
3
57.50
8
97.75
11
138.00

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

a. Explain why Angela’s claim is not correct.

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.

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

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.

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?

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.

7.RP.2c

Grade 7 3 Common Core Assessment Readiness

Name Date Class

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.

proportional;

proportional; p = 3t

proportional; p = 12t

The quantities are not in a proportional relationship.

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?

c = 5.00t + 2.50

c = 5.00 + 2.50t

c = 7.50t

c = 10.00t

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
(pounds) / Cost, c
(dollars)
2 / 13.00
3 / 19.50
4 / 26.00
5 / 32.50

This relationship is proportional. The equation is c = w.

This relationship is proportional. The equation is c = 6.5w.

This relationship is proportional. The equation is c = 13w.

This relationship is not proportional.

Select all correct answers.

4. Which of the following equations represent a proportional relationship?

y = 2x + 2 y =

y = y = 80x

y = 5 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.