If 2x+3=8, what is the value of x?
A. 1.5
B. 2.5
C. 4.5
D. 6
E. 10
What expression should be added to 7a3+4a2-a+5 to equal 3a3-2a2+3a?
A. -4a3+2a2+a-4
B. 4a3+8a2-3a+1
C. 4a3+2a2+5a-7
D. -4a3-6a2+4a-5
E. -4a3-a2+3a-7
What is the degree measure of the smallest angle in this figure of two straight intersecting lines?
A. 30
B. 50
C. 130
D. 180
E. 360
In a 3-4-5 right triangle, what is the sine of the smallest angle?
A. 3⁄4
B. 3⁄5
C. 4⁄5
D. 4⁄3
E. 5⁄4
If x and y are directly proportional and x=8, what is the value of x when y=13?
A. 0.615
B. 4.875
C. 15
D. 34.667
E. 39
Kim earned an 85% on a test that had 40 questions. How many questions did he miss?
F. 4
G. 6
H. 8
J. 17
K. 34
If Mike walks 10 feet north and 24 feet east on a flat surface, what is the shortest straight-line distance from his original spot?
F. 12
G. 13
H. 20
J. 26
K. 32
A helicopter is hovering at an elevation of 500 feet off of the level ground. How many feet away is Jeff, who is on the ground looking up at the helicopter at a 30-degree angle of elevation?
F. 500
G. 500√2
H. 500√3
J. 1,000
K. 1,200
What is the y intercept of a line that goes through (6,3) and (-6,1)?
A. -3
B. 0
C. 2
D. 3
E. 9
How many possible combinations of answers can one have for answers on a 5 question True/False test (all questions are different and unique), given that one answers every question as either true or false?
A. 2
B. 4
C. 8
D. 16
E. 32
Given that one can convert degrees Celsius (C) to degrees Fahrenheit (F) using the equation
F=(9⁄5)C+32, if the maximum temperature on a thermostat is 90°F, what is the maximum temperature to the nearest degree Celsius?
A. 32
B. 58
C. 68
D. 90
E. 194
We are able to determine the measure(s) of which of the following angle(s) in the figure composed of straight lines?
A. None of them.
B. A only.
C. A and C only.
D. A, B, C only.
E. All of the lettered angles.
Toyba travels east 10 miles, then travels northwest at an angle of 25 degrees in a straight line until she is directly north of her original position. Assuming she has traveled on a completely flat surface, what is her straight-line distance from her original spot to the nearest tenth of a mile?
A. 4.2
B. 4.7
C. 4.9
D. 5.1
E. 9.1
If an equilateral triangle has a side of length 8, what will be the area of a square that has the same perimeter as this triangle?
F. 9
G. 16
H. 25
J. 36
K. 49
An organic cow produces 5½ gallons of milk per day, which equates to approximately 90 glasses of milk. How many cows would be needed to provide at least 1,000 glasses of milk in one day?
F. 2
G. 11
H. 12
J. 181
K. 182
How many units is the diameter of a circle with equation (x-2)2+(y-4)2=64?
F. 2
G. 4
H. 8
J. 12
K. 16
What is the shortest distance between the y axis and the point (2,7)?
A. 1
B. 2
C. 3
D. 5
E. 7
The expression (Number of Factors for a Given Prime Number)n where n≥1 will always be divisible by which of the following numbers?
A. 2
B. 3
C. 4
D. 5
E. 6
Dynamic Cell Phones charges a flat fee of $20 per month, which includes 500 text messages; each text over 500 costs $0.40 each. Innovative Cell Phones charges a flat fee of $30 per month, with 400 included texts; each text over 400 costs $0.30 each. At what number of texts is the cost of the two plans the same?
F. 200
G. 350
H. 520
J. 700
K. 900
Which of the following gives the coordinates of the vertex of y=2x2-3 in the x-y-coordinate plane?
A. (0,2)
B. (0,-3)
C. (2,-3)
D. (3,-2)
E. (6,0)
A ladder of length 20 feet leans against a building on level ground. The angle the ladder makes with the ground is 35°. Approximately how far up the building, in feet, does the ladder go?
F. 8.4
G. 11.5
H. 13.5
J. 15.1
K. 20.2