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Vocabulary RatiosMeasurementConversions

ProportionsScale

Drawings

10 Point

20 Points

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Rates

Two ratios with the same value are called what?

Equivalent Ratios

Two quantities that have a

constant rate or ratio are said to

be what?

Proportional

Define a scale drawing or a scale model.

A scale drawing or a scale model is used to represent

something that is too large or too small for an

actual-size drawing.

The constant rate of change in y with

respect to the constant change in x or the rate of change on a graph is

called what?

Slope

Define the term scale factor.

A scale written as a ratio in simplest

form without units of measurement is

a scale factor.

Write the ratio as a fraction in simplest

form:

16 dogs to 12 cats

43

180 students and 24 adults are going on a field trip. Write the

ratio of adults to students as a fraction in

simplest form.

2 15

Determine whether the ratios are equivalent:

27 students to 6 microscopes

18 students to 4 microscopes

Yes

It is recommended that a ham be baked 1 hour for every 2

pounds of meat. Latrell baked a 9-pound ham for 4.5 hours. Did

he follow the above recommendation?

Justify your answer.

Yes.

The aspect ratio of a television is a ratio comparing the width and height. A wide

screen television has an aspect ratio of 16:9. Televisions without the same aspect ratio

crop the image to fit the screen. Determine whether which television sizes have a full

16:9 image. Justify your answer.

71 inches by 42 inches

32 inches by 18 inches

32 in by 18 in

Find the unit rate.

$23.75 for 5 pounds

$4.75 per pound

Find the rate of change in degrees per hour.

Time (h) 0 1 2

Temperature(degrees Celsius)

50 52 54

2 degrees Celsius1 hour

Find the slope of the graph.

Distance(miles)

Time (hours)

403530252015105

1 2 3 4 5 6 7 8 9

15 miles per hour

Which bottle of shampoo shown at the right cots

the least per ounce?Bottle Price

8 oz. $1.99

12 oz. $2.59

16 oz. $3.19

16 oz for $3.19

Which amount of chocolate shown in the table has the

best unit price?Weight (oz) Cost ($)

12 2.50

18 3.69

24 4.95

30 6.25

18 oz for $3.69

One of the largest pumpkins ever grown weighed about ½ ton. How many pounds did

the pound weigh?

1,000 pounds

A garden is 18 feet long. How many yards long is the

garden?

6 yards

At 979 meters tall, Angel Falls in Venezuela is the highest waterfall

in the world. How many kilometers tall is the

waterfall?

0.979 kilometers

A bucket holds 12.8 liters of water. Find the capacity of the

bucket in milliliters.

12,800 mL

A peregrine falcon can fly at over 200

miles per hour. How many feet per

hour is this?

1,056,000 feet/hour

Solve the proportion.

6 . n . 9 12

=

8 = n

Solve the proportion. 2 . 8 .

t 50=

t = 12.5

Sam bought 4 books for $9. How much

would 24 books cost at this same rate?

$54

If 3 televisions weigh 240.6 pounds, how

much do 9 of the same televisions weigh?

721.8 pounds

There are 325 students and 13 teachers at a school. Next school year, the enrollment is expected

to increase by 100 students. Write and solve a proportion to find the number of teachers that

must be hired so the student-teacher ratio remains the same.

4 teachers

Two cities are 2 inches apart on a map. If the

scale on the map is 1 in:43 km, how far apart are the cities in real life?

86 km

On a map the distance between Hagerstown and Annapolis is 4 cm. If the

scale on the map is 1 cm = 24 miles, then how far apart are these two cities in real life?

96 miles

On the blueprint of a deck, the scale is ½ in = 4 ft.

What is the actual width of the deck, if it is 2 in wide in

the drawing?

16 feet

A model is being created from a picture frame which has a length of 4 ¾ inches. If the scale to be used is

8 inches = 1 inch, what is the length of the model?

38 inch

Find the scale factor of a blueprint if the scale

is ½ in = 3 ft.

1 . 72

Make your wager

In a cleaning solution, the ratio of bleach to water is 1:5. If there are 36 cups of cleaning solution, how many gallons of water are

needed?

7.5 gallons