PARCC Math 12 Proportions 1.
Name___________________________ Date________
In the figure to the right, AE || CD and segment AD intersects segment CE at B. What is the length of segment CE?
D
C 5 B 10
A
2.
A quality control manager at a factory selects 7 lightbulbs at random for inspection out of every 400 lightbulbs produced. At this rate, how many lightbulbs will be inspected if the factory produces 20,000 lightbulbs? A) B) C) D)
3.
A soda company is filling bottles of soda from a tank that contains 500 gallons of soda. At most, how many 20-ounce bottles can be filled from the tank? (1 gallon = 128 ounces) A) B) C) D)
4.
25 78 2,560 3,200
Nate walks 25 meters in 13.7 seconds. If he walks at this same rate, which of the following is closest to the distance he will walk in 4 minutes? A) B) C) D)
5.
300 350 400 450
150 meters 450 meters 700 meters 1,400 meters
If y = kx, where k is a constant, and y = 24 when x = 6, What is the value of y when x = 5? A) 6 B) 15 C) 20 D) 23
8
E
6.
To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces) A) B) C) D)
7.5 10 50.5 120
7.
A partially filled pool contains 600 gallons of water. A hose is turned on, and water flows into the pool at the rate of 8 gallons per minute. How many gallons of water (in total) will be in the pool after 70 minutes?
8.
A coastal geologist estimates that a certain country’s beaches are eroding at a rate of 1.5 feet per year. According to the geologist’s estimate, how long will it take, in years, for the country’s beaches to erode by 21 feet?
9.
Horsepower and watts are units of measure of power. They are directly proportional such that 5 horsepower is equal to 3730 watts. How much power, in watts, is equal to 2 horsepower?
10.
If a 3-pound pizza is sliced in half and each half is sliced into thirds, what is the weight, in ounces, of each of the slices? (1 pound = 16 ounces) A) 4 B) 6 C) 8 D) 16
11.
If y = kx, where k is a constant, and y = 25 when x = 10, What is the value of y when x = 8?
Notes: 1.
In the figure to the right, AE || CD and segment AD intersects segment CE at B. What is the length of segment CE?
D
C 5 B 10
The triangles are similar, but turn CDB upside down:
8
A
8
10
2.
10 5 8 n
CE = 8 + 4
n = 5(8) ÷ 10 = 4
CE = 12
25 78 2,560 3,200
Nate walks 25 meters in 13.7 seconds. If he walks at this same rate, which of the following is closest to the distance he will walk in 4 minutes? A) B) C) D)
7 n 400 20000
inspected total
n = 7(20000) ÷ 400 = 350
300 350 400 450
A soda company is filling bottles of soda from a tank that contains 500 gallons of soda. At most, how many 20-ounce bottles can be filled from the tank? (1 gallon = 128 ounces) A) B) C) D)
4.
n
Find CE:
A quality control manager at a factory selects 7 lightbulbs at random for inspection out of every 400 lightbulbs produced. At this rate, how many lightbulbs will be inspected if the factory produces 20,000 lightbulbs? A) B) C) D)
3.
5
Find n:
E
150 meters 450 meters 700 meters 1,400 meters
gallons ounces
1 500 128 n
n = 128(500) ÷ 1 = 64,000 ounces ÷ 20 ounces per bottle 3,200 bottles
1 minute = 60 seconds 4 4 minutes = 240 seconds
meters seconds
25 n 13.7 240
n = 25(240) ÷ 13.7 n = 437.956… closest to 450
5.
y
If y = kx, where k is a constant, and y = 24 when x = 6, What is the value of y when x = 5?
y1 y 2 x1 x2
x
A) 6 B) 15 C) 20 D) 23
24 y 6 5 y = 24(5) ÷ 6 = 20
6.
To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces) A) B) C) D)
ounces muffins
7.5 10 50.5 120
2.5 n 1 48
n = 2.5(48) ÷ 1 = 120 ounces ounces pounds
16 120 1 n
n = 120(1) ÷ 16 = 7.5 pounds OR
1 muffin = 2.5 ounces 48 48 muffins = 120 ounces 16 ounces = 1 pound 120 ounces = 7.5 pounds ÷ 16
7.
A partially filled pool contains 600 gallons of water. A hose is turned on, and water flows into the pool at the rate of 8 gallons per minute. How many gallons of water (in total) will be in the pool after 70 minutes? gallons minutes
8 n 1 70
n = 8(70) ÷ 1 = 560 gallons
600 gallons already in pool + 560 more gallons flow into pool 1160 gallons will be in the pool
