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WorksheetsAVID PSAT-Math w/c
Total questions: 16
Worksheet time: 32mins
Eli saves money each month to buy a new computer. The total amount he has saved, T, can be calculated by the equation T = 83 + 30m, where m is the number of months since he started saving. What does the number 83 represent in the equation?
The amount of money Eli started with
The number of months Eli has been saving
The amount of money Eli saves each month
The total amount of money Eli wants to save
When the equation y = 5x + p, where p is a constant, is graphed in the xy-plane, the line passes through the point (−2, 1). What is the value of p ?
-9
-2
3
11
According to the Department of Agriculture, consuming 100 grams of banana provides
0.15 milligram of zinc. Which of the following is closest to the number of milligrams of zinc provided by 140 grams of banana?
0.15
0.21
0.25
0.93
An advertisement states that the printing rate of a certain printer is 400 characters per second. According to the convention that 1 word consists of 5 characters, what would be the advertised printing rate, in words per minute?
2,000
4,800
24,000
120,000
(x 2y − 3y 2 + 5xy 2) − (−x 2y + 3xy 2 − 3y2)
Which of the following is equivalent to the expression above?
2x^ 2y + 2xy ^2
8xy^2 − 6y^2
2x^2y + 8xy^2 − 6y^ 2
x^4y^ 2 + 9xy^4 – 15xy^ 2
2 percent
7 percent
10 percent
16 percent
Both the range and median of Joseph’s bills are less than the range and median of Samuel’s bills.
Both the range and median of Joseph’s bills are greater than the range and median of Samuel’s bills.
The range of Joseph’s bills is less than the range of Samuel’s bills, while the median of Joseph’s bills is greater than the median of Samuel’s bills.
The range of Joseph’s bills is greater than the range of Samuel’s bills, while the median of Joseph’s bills is less than the median of Samuel’s bills
A moving company uses plastic wrap to bundle groups of boxes together. If a portion of plastic wrap that measures 900 inches in length is used to bundle each group of boxes, how many groups of boxes can be bundled using 1,500 feet of the same type of plastic wrap?
15
20
25
30
190
233
265
390
A circle is graphed in the xy-plane. If the circle has a radius of 3 and the center of the circle is at (4, −2), which of the following could be an equation of the circle?
(x + 4)^2 + (y − 2)^2 = 3
(x + 4)^2 − (y − 2)^2 = 3
(x − 4)^2 + (y + 2)^2 = 9
(x − 4)^2 − (y + 2)^2 = 9
An artist is creating a sculpture using bendable metal rods of equal length. One rod is formed into the shape of a square and another rod into the shape of an equilateral triangle. If each side of the triangle is
2 inches longer than each side of the square, how long, in inches, is each rod?
16
18
24
30
f (x) = 2x − 4
2x 2 + 2x −4
A rational function is defined above. Which of the following is an equivalent form that displays values not included in the domain as constants or coefficients?
f (x) = x −2 /
x2 + x −2
f (x) = 2(x − 2)
2(x + 2)(x − 1)
f (x) = 1
x +1
f (x) = 1
2x2
In the xy-plane the graph of the function q is a parabola. The graph intersects the x-axis at (−1, 0) and (r, 0). If the vertex of q occurs at the point
(2, 4), what is the value of r ?
0
3
4
5
Liquid going through a cooling system is chilled so that its temperature decreases at a constant rate from 100°C to 25°C in 5 seconds. Which of the following functions represents the temperature C, in degrees Celsius, as a function of the time t, in seconds, after chilling began, for 0 ≤ t ≤ 5 ?
C = −25 + 15t
C = 25 − 15t
C = 25 + 15t
C = 100 − 15t
V = 4 πr 3
3
The formula for the volume of a sphere with radius r is shown above. The radius of the planet Jupiter is about 11 times the radius of planet Earth. Assuming that planets are spheres, about how many times larger is the volume of Jupiter than the volume of Earth?
11
121
1,331
1775
x = 1 y
3
154 − 4y = 10x
The equations of two lines are shown above. If the lines are graphed in the xy-plane, which of the following ordered pairs represents the point at which the lines would intersect?
(1,3)
(3,9)
(5,15)
(7, 21)
