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19 questions
In 1950, scientists found an object with 40,000 grams of lead. Twenty-two years later, the object decayed to 20,000 grams of lead. Forty-four years from the initial date, the object decayed to 10,000 grams of lead. Based on this data, what is a good prediction for the grams of lead in the object by the year 2060?
625
1250
2500
5000
Which equation represents the formula for the general term, An
, of an arithmetic sequence with a first term of 8 and a common difference of 0.3?
An=7.7−0.3n
An=7.7+0.3n
An=8.3−0.3n
An=8+0.3n
Muriel and Ramon bought school supplies at the same store.
Muriel bought 2 boxes of pencils and 4 erasers for a total of $11.
Ramon bought 1 box of pencils and 3 erasers for a total of $7.
Which of the following systems of equations can be used to find p, the price in dollars of one box of pencils, and e, the price in dollars of one eraser?
2p + 4e = 11
p + 3e = 7
2p + 4e = 7
p + 3e = 11
4p + 2e = 11
3p + e = 7
4p + 2e = 7
3p + e = 11
Julia and Marcia bought identically priced cans of chili and identically priced jars of salsa to make a dip.
• Julia bought 3 cans of chili and 2 jars of salsa for $10.07.
• Marcia bought 2 cans of chili and 4 jars of salsa for $12.98.
Which of the following systems of equations could be used to find x, the cost of one can of chili, and y, the cost of one jar of salsa?
x + y = 10.07
x + y = 12.98
10.07x + 12.98y =11
x + y = 11
2x + 4y = 10.07
2x + 3y = 12.98
3x + 2y =10.07
2x + 4y = 12.98
Mr. Johnson purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under 12.
How many tickets for children under 12 did Mr. Johnson purchase?
5
9
15
18
Kara and Sonny went to see a movie at the local theater.
• Kara paid $13.00 for 1 large box of popcorn and 2 large soft drinks.
• Sonny paid $8.50for 1 large box of popcorn and 1 large soft drink.
In the system of equations below, p represents the cost of 1 large box of popcorn and s represent the cost of 1 large soft drink.
p + 2s = 13.00
p + s = 8.50
What is the value of p, the cost of 1 large box of popcorn?
$4.00
$4.25
$4.30
$4.50
What system of inequalities is represented by the graph?
y ≥ x - 2
y ≥ -3x - 6
y ≤ x + 3
y ≥2x - 6
y ≤ x - 2
y ≤ -3x - 6
y ≥ x + 3
y ≤ 2x - 6
Jerry has a jar of quarters and dimes. Using the variables q (number of quarters) and d (number of dimes), which formula could be used to determine the value (V) of the money, in dollars, in Jerry’s jar?
V=q+d
V=0.10q+0.25d
V=0.25q+0.10d
V=0.35(d+q)
The ordered pairs (1, 6), (2,36 ), (3,216 ), (4,1296 ), and (5,7776 ) represent a function. What is a rule that represents this function?
y = 6x
y = (x + 6)^2
y = x^6
y = 6^x
What is the value of the expression below?
(11)4
11
22
121
1331
If x≠0 , which of the following is equivalent to the expression below?
3x212x6
9x4
9x3
4x4
4x3
A truck cost $30,000 in the year 2004. For each year after 2004, the value of the truck was 20% less than its value the previous year.
What was the value of the truck in the year 2007?
12000
15360
18000
19200
Which of the following is equivalent to the expression below?
x3
x4
x8
x12
What is the value of the expression?
64/3
8
16/3
4
The amount of money in a savings account can be represented by an equation. In the equation below, [A] is the amount of money in a savings account after [t] years.
A = 10,000(1.05)^t
What is the amount of money in the savings account after 2 years?
10025
10500
11000
11025
162=2n What value of n makes the equation true?
4
6
8
10
A laboratory has a 75-gram sample of radioactive material. The half-life of the material is 10 days. (This means that it takes 10 days for half of the initial mass to decay.)
The formula below can be used to find [m] , the remaining mass in grams, in terms of [t] , the number of 10-day intervals the mass has been decaying.
m = 75 (0.5)^t
Based on the formula, what is the mass of the laboratory's sample remaining after 30 days?
9.375 grams
11.25 grams
12.5 grams
22.5 grams
A fast-growing strain of bacteria doubles in population every 20 minutes. A laboratory has a culture of 200 of these bacteria cells. The function below can be used to find [p] , the number of bacteria cells in this culture after [t] hours.
p = 200(8^t)
Which of the following is closest to the total number of bacteria cells after 2 hours?
3,200
12,800
51,200
2,560,000
PV=nRT
This equation represents the ideal gas law, where T is the temperature.
Which equation has been correctly rearranged to solve for T?
T=nR−PV
T=PV−nR
T=PVnR
T=nRPV
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