Name_________________________________
Chapter 8 Review Sheet-SHOW ALL WORK!
1) Write the ratio as a fraction in simplest form.
Class____________
Mailbox #_____
48 : 60
2) Find a value for x that makes the first ratio equivalent to the second ratio:
x to 54, 5 to 9
3) A class is attended by 18 girls and 24 boys. Write the ratio of girls to boys in the class as a
fraction in lowest terms.
4) Write the ratio 2:18 in two other forms.
Second form:____________________
Third form:______________________
5) On Mr. Bach's farm, 18 of the 30 horses are mares. What is the ratio of mares to all horses
written as a fraction and a decimal?
Fraction:__________________
Decimal:___________________
Is there another way to write the ratio? Explain your answer._______________________
_____________________________________________________________________
_____________________________________________________________________
6) School A has 480 students and 16 classrooms. School B has 192 students and 12 classrooms.
a. What is the ratio of students to classrooms at School A?
b. What is the ratio of students to classrooms at School B?
7) Find the unit rate: 40 note cards in 5 boxes
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1
8) Find the average speed (Hint: Change minutes to seconds): 182 meters in 7 minutes 35
seconds
9) Tom is buying a package of pens at a store. The store sells packages of 8 pens for $1.28 and
14 pens for $1.54. Which package offers the better unit price?
Solve or write and solve the following proportions using the method of your choice.
10)
11) Two ounces of a breakfast shake provide 6 grams of protein. How many ounces of the
product would be needed to provide 72 grams of protein?
12) A survey indicated that 3 out of 4 doctors used brand X aspirin. If 2400 doctors were
surveyed, how many used brand X?
13) The table shows the average consumption of certain items at the Refuel Restaurant every
three days.
Refuel Restaurant
Item
Amount
bananas
60 pounds
raw spinach
25 bunches
firm tofu
40 pounds
cottage cheese
20 pounds
carrot juice
80 gallons
wheatgrass juice
10 gallons
non-fat milk
120 gallons
WRITE AND SOLVE PROPORTIONS TO FIND THE FOLLOWING:
a. How many bunches of spinach will the restaurant use in 6 days? ___________________
2
b. How many gallons of carrot juice will the restaurant use in 18 days?_________________
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c. How many pounds of bananas will the restaurant use in 26 days?___________________
d. How many pounds of firm tofu will the restaurant use in 36 days?___________________
14)
15) A worker on an assembly line takes 4 hours to produce 23 parts. At that rate how many parts
can she produce in 16 hours?
16) The cost of 50 shares of Fly-by-Night Airlines is $72.50. How many shares can you buy for
$725.00?
17) A map has a scale of 5 cm : 16 km.
If two cities are 5 centimeters apart on the map, what is the actual distance between the two
cities? Round to the nearest tenth, if necessary._______________________________-
18) A map has a scale of 3 cm : 10 km.
If two cities are 20 centimeters apart on the map, what is the actual distance between the
two cities to the nearest tenth of a kilometer?______________________________
19) A scale drawing is to be made of the floor of a rectangular room whose dimensions are 72
feet by 40 feet. The scale to be used is 1 inch : 8 feet. What will the perimeter of the scale
drawing be in inches? (The figure may not be drawn to scale.)
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Set up a proportion to find the length of scale drawing:
3
Set up a proportion to find the width of scale drawing:
Total perimeter of scale drawing:__________________
20) Tania is building a doll house that is a scale model of her home.
Set up a proportion of the doll house to her home.
How tall should she make the doll house in inches?________________________
y
Find the slope of the line.
10
21)
–10
10
x
y
22)
10 –10
–10
10
x
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4
–10
Without finding the slope of the line, tell whether the slope is positive, negative, or zero.
23)
24)
25)
26) Remember the lemonade problem? Chart #1 represents the original sales, which happened on June 16th.
The same kids decided to have another sale on June 30th. This time the line started at the origin and passes
through the point (2,6).
a. Sketch the graph on Chart #2.
b. Find the (unit) rate of lemonade sales. on June 30th.
Chart #2
5
Chart # 1
Explain how you know
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c. Which date had better sales?
27)
Write and solve a proportion to find the actual dimensions of the entire library.
28) Solve.
𝑥+5
4
=
15
2
29) Solve.
12
3
6
=
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𝑥−4
8