Name_____________________________________________________ Period_______________ Date____________________________
7th Grade Mathematics
Ms. Ullian, Ms. Ferraro, Mr. DiFronzo
2014-2015
SWBAT …solve proportions (7.RP.3).
…reason abstractly and quantitatively (MP #2).
…compute unit rates associated with ratios of fractions including rations of lengths, areas, and other quantities
measured in different units (7.RP.1).
1) Steven’s family traveled 240 miles in 4 hours. What was their average speed in miles per hour?
a.
b.
c.
d.
40 mph
50 mph
60 mph
70 mph
3
1
2) An experimental vehicle was able to travel 8 mile on 16 gallon of water. At this rate, what was the
mileage in miles per gallon of water for this vehicle?
a.
3
128
1
mpg
b. 6 mpg
c. 6 mpg
2
d. 42 3 mpg
2
1
3) If a snail can crawl 3 yard in 5 hour, how many yards can the snail crawl in 1 hour?
a.
b.
2
15
3
yard
yard
10
1
c. 3 3 yards
1
d. 7 2 yards
4) The directions for using a concentrated cleaning product say to add 3
capfuls of the product for every 2 quarts of water used. Which of the
following proportions can be used to calculate c, the number of capfuls of
the product needed for 5 quarts of water?
a.
2
𝑐
b.
2
=7
c.
d.
Set Up PROPORTIONS
Unit
Unit
=
=5
3
3
3
2
3
2
𝑐
𝑐
=5
𝑐
=7
5) A cooking instructor stated that 5 pounds of roast beef is needed to serve 8 people. Based on the
instructor’s statement, which of the following proportions can be used to find r, the number of pounds
of roast beef needed to serve 12 people?
a.
5
b.
=
8
c.
d.
8
5
𝑟
= 12
12
8
𝑟
𝑟
8
𝑟
=5
12
= 12
5
6) A machine printed 63 booklets every 6 hours. At this rate, which proportion could be used to
determine x, the number of booklets that the machine can print in 9 hours?
a.
b.
c.
d.
63
6
63
6
63
9
63
9
𝑥
=9
9
=𝑥
𝑥
=6
=
6
𝑥
7) If 9 out of every 20 students at Jefferson School are boys, how many of the 840 students at the school
are boys?
a.
b.
c.
d.
372 boys
378 boys
385 boys
390 boys
Short Answer: Show ALL work!! Label and circle ALL answers!!
8) A recipe calls for ¼ cup of milk and 2 cups of flour. Write the ratio of milk to total ingredients.
Express this ratio using all three forms.
Set Up PROPORTIONS
Unit
Unit
=
9) For the following ratio write two different equivalent ratios.
2.3
5.6
10)Are the following ratios proportional?
21 17
?̿
5
3
11)Solve for the missing value in the following proportion.
𝑎
27
=
12.5 15
1
12)A sugar cookie recipe calls for 3 2 cups of sugar to make 6 dozen cookies. Based on the recipe, how
many cups of sugar must be used to make 21 dozen sugar cookies?
13)A bag of Cheetos has 440 calories in 4 servings. Popcorn has 300 calories
in 3 servings. Which snack has fewer calories per serving?
Set Up PROPORTIONS
Unit
Unit
=
1
14)Mary drove her car 125 miles in 2 2 hours. At what speed was she driving, in miles per hour?
15)Steven counted his heartbeats after running. In 15 seconds, he counted 33 heartbeats. How fast was
his heart beating per second?
3
16)Monica reads at a rate of 4 pages per minute. How many pages would she read in 1 hour?
17)Devin mowed lawns at a rate of $15 per lawn. If Devin earned $120 how many lawns did he mow?
REMEMBER:
Double check your work.
Label your answers.