Ratios and Rates
Proportions
Similar Figures
Dilations
Scale Drawings
100
There are 15 seventh-graders and 17 eighth-graders on a soccer team. What is the ratio of 8th-graders to 7th-graders?
17:15 or 17 to 15 or 17/15
100
Solve the following proportion:
3/7=6/n
n = 14
100
The figures are similar. Find x.
x = 10
100
Find the scale factor of the dilation.
scale factor: 1/3
100
Map Scale: 1 inch = 3 miles
If a length on the map is 13 inches, what is the actual length?
39 miles
200
Simplify the following ratio:
16:24
2 to 3 or 2:3 or 2/3
200
Solve the following proportion:
x/2=8/9
x = 1.78
200
The figures are similar. Find x.
x = 15
200
Find the scale factor of the dilation.
scale factor: 3
200
The plan of a terrace is shown in the drawing. The scale is 1 inch = 2.5 feet. What are the length and width of the actual terrace?
12.5 feet by 5 feet
300
Find the unit rate: 826 miles in 14 hours
59 miles per hour
300
The currency in Sweden is the Kronor. The exchange rate is approximately $1 for every 7 Kronor. How many dollars would you get if you exchanged 14 Kronor?
$2
300
ABCD ~ EFGH
Find the length of FG.
FG = 10.5
300
What is the scale factor of the dilation?
scale factor: 2
300
An architect made this drawing to represent a swimming pool. The scale is 1 inch = 3 feet. What are the actual dimensions of the swimming pool?
12 feet by 15 feet
400
Which is the better buy?
36 ounces for $2.52
or
24 ounces for $1.92
36 oz for $2.52 ($0.07 per ounce)
400
At a recent party, it cost $9.50 for refreshments for 10 guests. At this rate, how much would it cost to have refreshments for 80 guests?
$76.00
400
How tall is the tree?
20 feet
400
The figure is dilated using a scale factor of 1/2. What are the coordinates of U'?
(2, -1)
400
The scale of a map is 1 in : 75 mi. How many actual miles does 0.85 inches represent?
63.75 miles
500
In six months, 33.6 gallons were used. Find the unit rate.
5.6 gallons/month
500
Mr. Johnson was paid $190 for a job that required 40 hours of work. AT this rate, how much should he be paid for a job requiring 60 hours of work?
$285
500
The figures are similar. Find y.
y = 24
500
Triangle ABC has coordinates A(2, -4), B(3, -7), and C(1, -9). What are the coordinates of B' after a dilation using a scale factor of 5?
B'(15, -35)
500
On a blueprint, 1 in. = 16 ft. If the dimensions of the bedroom on the blueprint are 0.75 inches x 1.5 inches, what are its actual measurements?
12 ft x 24 ft