Proportions
Scale Drawing and Dilations
Best Buy and Unit Rates
Converting rates
Similar Figures and Indirect Measurement
100
Is the table proportional. Explain why or why not
yes miles divided by hours produces the same number in every point
100
A figure with vertices J(2,4), K(2,6), M(8,6), and N(8,2). What would the vertices be after a dilation of 0.5
J(1,2)
K(1,3)
M(4,3)
N(4,1)
100
15 pages in 5 minutes. What is the unit rate?
3 pages per minute
100
Convert 3 miles to inches
(1 mile = 5280 feet)
190,080
100
Find the missing value
7 m
200
Solve for X
20/160=X/220
X=27.5
200
A triangle has vertices at A(3.2, 5), B(7.5, 4.3), and C(1.6, 4.4). After a dilation its points are A’(14.4, 22.5), B’(33.75, 19.35), and C’(7.2, 19.8). What is the dilation factor?
4.5
200
A boy can ride 9 miles in 2.5 hours. What is the unit rate?
3.6 miles per hour
200
convert 12 centimeters to inches
(1 in=2.540 cm)
4.72 in
200
Find X and Y
X=
16/3
Y=
14/3
300
Matthew paid $49.95 for 5 DVDs at a sale
Write and solve a proportion to find the cost for 8 DVDs at the same rate
$79.12
300
A map in the natural history museum shows that the dinosaur exhibit room is 7.25 inches wide. If the scale on the map is 1 inch = 8 feet, what is the width of the actual exhibit room.
58 feet
300
A 12 ounce tub of popcorn costs $3.00. A 20 ounce tub of popcorn costs $4.00. Which tub is the better buy? You must tell the unit price for each.
12 oz. = 0.25 20 oz. =0.20
300
an elephant can eat up to 440 pounds of vegetation every day. How many grams per minute is this? Round to the nearest hundredth.
(1 pound = 453.59 grams)
138.60 Grams
300
A statue casts a shadow 30 feet long. At the same time, a person who is 5 feet tall casts a shadow that is 6 feet long. How tall is the statue?
25 ft.
400
Jan saved $215.00 in 15 months. If she continues saving at the same rate, how much could she save in 2 years?
$344.00
400
A model airplane is built with a wing span of 23 inches. The actual wing span is 4 inches wide. What is the scale of the flag?
1 in. = 4 ft.
400
A 4 pack of AAA batteries costs $2.84. An 8 pack costs $5.60. Which is the better buy? You must give the unit price for each.
4 pack = 0.71 8 pack = 0.70
400
The velocity of sound through wood at 00 Celsius is 1454 meters per second. How many miles per hour is this? Round to the nearest hundredth
(1 mile is 1609.34 meters)
3252.51
400
Randal is 5.5 feet tall and casts an 8-foot shadow. At the same time, a flagpole casts a 48-foot shadow. How tall is the flagpole?
33 ft.
500
Grace can solve between 8 and 10 division problems per minute. Based on this, between what two times, in minutes, would it take Grace to complete a worksheet of 120 division problems?
12 to 15 minutes
This question came from an actual SAT
500
What is the dilation factor
1.5
500
A package of 2 paper rolls costs $3.50. A package of 10 paper towel rolls cost $15. Which is the better buy? You must show the unit price for each.
2 paper rolls = $1.75 10 paper rolls = $1.50
500
A certain car in Canada can travel 15 kilometers per 1 Liter of gasoline. How many Miles per gallon is this? Round to the nearest hundredth.
(1 KM is 0.62 Miles)
(1 G is 3.78 L)
35.15 M/G
500
Find X and Y
X=5.6 CM
Y=4.375