Algebra Flashcards
From
1970 to 1990 the average per person annual consumption of whole milk declined at a constant rate from 101 to 41 quarts per year. During the same period, the average annual consumption of low fat milk increased at a constant rate from 25 to 60 quarts per year.
What was the average annual per person consumption when the consumption of whole milk and low fat milk was the same?
Choose 1 answer:
A - 53 quarts
B - 55 quarts
C - 57 quarts
D - 59 quarts
(Choice A, Checked, Correct) 53 quarts
CORRECT
A grocery store sells 5-pound bags of beans for $6 each and 10 pound bags of rice for $15 each. Taye wants to buy at least as many pounds of rice as he buys of beans. He wants to spend at least $60, and he can carry a maximum of
55 pounds.
Which of the following purchases satisfies all of Taye’s conditions?
Choose 1 answer:
A - 3 bags of beans and 6 bags of rice
B - 4 bags of beans and 2 bags of rice
C - 4 bags of beans and 3 bags of rice
D - 6 bags of beans and 2 bags of rice
C - 4 bags of beans and 3 bags of rice
CORRECT
This choice satisfies all of the conditions described.
The graph of a line in the xy-plane passes through the points (2, 3) and (4, 6). The graph of a second line has a slope of 6 and contains the point (1, 15). If the two lines intersect at the point (a, b), what is the value of ab?
Choose 1 answer:
A ] -6
B ] 6
C ] 15
D ] 24
B ] 6
CORRECT
The two lines intersect at
(-2, -3)
(-2)(-3)=6
Y = X/1.1 + 0.5
A cylindrical ceramic mug with a volume of V cups is filled with water and placed in a microwave oven of constant power. It takes approximately t minutes for the water to begin boiling as given by the equation.
What does 1.1 mean in the equation?
Choose 1 answer:
A ] The volume of the ceramic mug can be a maximum of 1.1 cups.
B ] Every 1.1 additional cups of water take 1 more minute to microwave and boil.
C ] The time it takes to microwave and boil 1 additional cup of water is 1.1 minutes.
D ] The minimum amount of time to microwave and boil any amount of water is 1.1 minutes.
B ] Every 1.1 additional cups of water take 1 more minute to microwave and boil.
CORRECT
Every 1.1 additional cups of water take 1 more minute to microwave and boil.
A cleaner is sold in low and high concentrations so that customers can combine amounts from each in order to obtain a desired quantity and concentration. The low concentration is 3% pure cleaner and the high concentration is 18% pure cleaner.
How many liters of the low and high concentrations must be combined to obtain 10 liters that is 8% pure cleaner?
Choose 1 answer:
A ] 6 liters of low and 4 liters of high
B ] 61/3 liters of low and 32/3 liters of high
C ] 62/3 liters of low and 31/3 liters of high
D ] 7 liters of low and 3 liters of high
C ] 62/3 liters of low and 31/3 liters of high
CORRECT
0.03(10-h) + 0.18h = 0.8
0.3 - 0.03h + 0.18h = 0.8
0.15h = 0.8 - 0.3
0.15h = 0.5
h = 0.5 / 0.15
h = 3 * 1/3
L = 10 - h
L = 10 - 3 * 1/3
L = 6 * 2/3
At Charlie’s Cinema, a total of
[1200] adult and child movie tickets were sold to bring in
[$10,875] in ticket sales one evening. If each child ticket costs
[$7.50] and each adult ticket costs
[$10.00], how many adult tickets were sold that evening?
The correct answer is 750
c + a = 1200
7.5 + 10a = 10875
7.5c + 10a = 10875
7.5(1200-a) + 10a = 10875
9000 - 7.5a + 10a = 10875
9000 + 2.5a = 10875
2.5a = 1875
a = 750
Gabriella’s morning exercise routine includes both jogging and power yoga. On average, she burns about
[450] calories per hour while doing power yoga and about
[660] calories per hour while jogging. Gabriella wants to burn a total of
[675] calories during her
[75] minute workout this morning. Which of the following systems could be used to find the number of minutes that she should spend jogging,
[j], and the number of minutes that she should spend doing power yoga,
[p], in order to meet this goal?
A.
p + j = 75
7.5p + 11j = 675
B.
p + j = 75
11p + 7.5j = 675
C.
p + j = 75
450p + 660j = 675
D.
p + j = 75
660p + 450j = 675
The correct choice is A
Power yoga = 450 / 60 = 7.5
Jogging = 660 / 60 = 11
