Straight Plug
If a/b = 2 what is the value of 4b/a?
A) 0
B) 1
C) 2
D) 4
C) 2
Which of the following is a solution to the equation 2x2 + 4x = 3 + 3x2 ?
A) -1
B) 0
C) 3
D) 6
C) 3
For the linear function f, the graph of y = f(x) in the xy-plane passes through the points (0,2) and (2,6). Which equation defines f ?
A) y = 1/2x+2
B) y = 2/3x+2
C) y = 2x + 2
D) y = 3x + 2
C) y = 2x + 2
The pressure exerted on an object underwater increases by 1 atmosphere every 33 feet below the surface of the water. At sea level, the pressure is 1 atmosphere. Which equation gives the total pressure p, in atmospheres, exerted on an underwater object at a depth of f feet below sea level?
A) p = f/33
B) p = 33f
C) p = 33f+1
D) p = f/33 + 1
D) p = f/33 + 1
One brand of a commercial ice machine can produce a maximum of 263 pounds of ice each day. If 1 cubic foot of ice weights about 57.2 pounds, which of the following best approximates the maximum number of cubic feet of ice the machine can produce in one day?
A) 0.2
B) 4.6
C) 206
D) 320
B) 4.6
Which of the following is equivalent to the expression 1 − x + x2 − x3?
A) (1 - x)(x2 + 1)
B) (x + 1)(x - 1)2
C) (x + 1)(x + 1)2
D) (1 - x)(x + 1)2
A) (1 - x)(x2 + 1)
What is the solution to -3(x - 5) = -2x + 4?
A) 11
B) 19/5
C) -9
D) -19
A) 11
x | F(x)
2 | 4
3 | 6
For a linear function f, the table shows two values of x and their corresponding values of f(x)
A) f(x) = 2x
B) f(x) = x
C) f(x) = x + 4
D) f(x) = x + 6
A) f(x) = 2x
The height of a magnolia tree H, in inches, is predicted to increase according to the model below, where n represents the number of growing seasons since the tree was planted.
H = 24n + 73 where H ≤ 600
What is the best interpretation of the number 24 in this context?
A) The predicted number of growing seasons for the tree to increase 24 inches in height
B) The predicted number of growing seasons for the tree to increase 24 inches in height
C) The predicted number of growing seasons for the tree to increase 24 inches in height
D)The initial height of the tree, in inches, when it was planted
C) The predicted number of growing seasons for the tree to increase 24 inches in height
In the 1908 Olympic Games, the Olympic marathon was lengthened from 40 kilometers to approximately 42 kilometers. Of the following, which is closest to the increase in the distance of the Olympic marathon, in miles? ( 1 mile is approximately 1.6 kilometers)
A) 1.00
B) 1.25
C) 1.50
D) 1.75
B) 1.25
Adam’s school is a 20-minute walk or a 5-minute bus ride away from his house. The bus runs once every 30 minutes, and the number of minutes, w, that Adam waits for the bus varies between 0 and 30. Which of the following inequalities gives the values of w for which it would be faster for Adam to walk to school?
A) w − 5 < 20
B) w + 5 > 20
C) w − 5 > 20
D) w + 5 < 20
B) w + 5 > 20
The function p is defined by p(n) = 7n3. What is the value of n when p(n) is equal to 56?
A) 2
B) 8/3
C) 7
D) 8
A) 2
g(x) = 7(2)x
For the given function g, what is the y-intercept of the graph of y = g(x) in the xy-plane?
A) (0,7)
B) (0,14)
C) (7,0)
D) (14, 0)
A) (0,7)
The number of city residents y, in Philadelphia from 1980 to 2000 can be modeled by the linear equation y = -8533x + 1,688,210 where x is the number of years after 1980. What does the number 8,533 represent?
A) The percent of city residents leaving Philadelphia
B) The ratio of the number of city residents remaining in Philadelphia to the number of years since 1980
C) The number of city residents remaining in Philadelphia in 2000
D) The average decrease in the number of city residents of Philadelphia each year from 1980 to 2000
D) The average decrease in the number of city residents of Philadelphia each year from 1980 to 2000
The speed of a lightning bolt is approximately 320 million feet per second. What is the speed, in yards per minute? ( 1 yard = 3 feet )
A) 160 million
B) 960 million
C) 6,400 million
D) 19,200 million
C) 6,400 million
If ax + a = 3, where a is a nonzero constant, which of the following must be equal to x + 1?
A) 3
B) a
C) 3a
D 3/a
D) 3/a
Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. Based on Katarina's observation, if the Type A trees produced 144 pears, how many pears did the Type B trees produce?
A) 115
B) 120
C) 124
D) 173
B) 120
5x + 4y = 12
The graph of the equation above in the xy-plane is a line, l. Line l intersects line m at point (2, .5). Which of the following could be an equation of line m ?
A) 2x = y/2
B) 2y = 3 - x
C) 2x + 4y = 8
D) y=4 - (5/4)x
B) 2y = 3 - x
F = (AR)/(6r^2)
The ability of geckos to climb on sheer surfaces has been attributed to the van der Waals forces between these surfaces and the microscopic spatula which cover the hair of their footpads. The van der Waals force F measured in micronewtons, between a sphere (representing a spatula) of radius R microns, and a plane (the wall), is shown above, where r, in nanometers, is the distance from the wall and A is a constant. If the distance r decreases by 50%, which of the following describes the effect on the van der Waals force?
A) The absolute value of the force doubles
B) The absolute value of the force quadruples
C) The absolute value of the force decreases by 50%
D) The absolute value of the force increases by 50%
B) The absolute value of the force quadruples
If it takes 6 minutes to travel from point A to point B at a constant speed of 60 miles per hour, how many minutes does it take to travel the same route from point A to point B at a constant speed of 50 miles per hour?
7.2 or 36/5
A right rectangular prism has a height of 9 inches. The length of the prism's base is x inches, which is 7 inches more than the width of the prism's base. Which function V gives the volume of the prism, in cubic inches, in terms of the length of the prism's base?
A) V (x) = x(x + 9)(x + 7)
B) V (x) = x(x + 9)(x - 7)
C) V (x) = 9x(x + 7)
D) V (x) = 9x(x - 7)
D) V (x) = 9x(x - 7)
A proposal for a new library was included on an election ballot. A radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. A social media post reported that 15,000 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?
A) 7500
B) 15000
C) 22500
D) 45000
A) 7500
A function has the property that if point (a,b) is on the graph of the equation y = f(x) in the xy-plane, then the point (a + 1, (1/3)b) is also on the graph. Which of the following could define f?
A) f(x) = (1/3)(1/12)x
B) f(x) = 12(1/3)x
C) f(x) = 12(3)x
D) f(x) = (1/3)(12)x
B) f(x) = 12(1/3)x
d = 15.69t^2
Reem is a test driver for an automobile company. The above formula gives the total distance d in feet that Reem drove a luxury car in the first t seconds after idling at a speed of 0 miles per hour, up to the time when she passed a particular safety cone. Compared to the time it took Reem to pass the safety cone, how long did it take to pass a sensor that was 4/9 of the distance from the start?
A) 16/81 of the time it required to pass the cone
B) 4/9 of the time it required to pass the cone
C) 2/3 of the time it required to pass the cone
D) 9/4 of the time it required to pass the cone
A) 16/81 of the time it required to pass the cone
Mike and Paul left their houses at the same time for a fitness run to a park. Mike ran at an average speed of 7 miles per hour, and Paul ran at an average speed of 5 miles per hour. Mike and Paul arrived at the park at the same time. If Mike ran 4 miles farther than Paul, how far, in miles, did Mike run?
14