James bikes 6 5/6 miles in one day and 10 4/9 miles the next day. How many miles does he bike in total?
A. 16 11/36
B. 17 11/36
C. 17 5/18
D. 16 5/18
E. 16 11/18
C. 17 5/18
If x=7+a and y=3-2a, which expresses x in terms of y?
A. x = (y-3)/2
B. x= 2y-11
C. x = 7-(y-3/2)
D. x = 7+(y-3/2)
C. x= 7-(y-3)/2
Consider the following matrices:
A -1 4 B -3 2
-2 8 3 -2
What is A + B?
F. 2 2
-10 10
G. 2 -2
10 -10
H. -4 6
1 6
I. 4 -6
4 -6
J. 4 6
4 6
H. -4 6
1 6
If a circle has a diameter of 12, what is the circumference of the circle? A. 6pi B. 12pi C. 24pi D. 36pi E. 144pi
B. 12pi
In an isosceles triangle, the vertex angle is 36°. What is the measure of one of its base angles?
A. 36° B. 45° C. 72° D. 144° E. Cannot be determined from the information provided.
C. 72
In the tournament, the Tigers scored 44, 56, and 47 points in the first three games. If their four-game tournament average score was 52 points, how much did they score in their final game?
A.52 B. 55 C. 58
D. 61 E. None of the above
D. 61
What number can you add to both the numerator and the denominator of 8/11 to equal 2/3?
A. 4
B. -2
C. 2
D. -3
E. -6
B. -2
If f(x) = 5x-2 and g(x) = x2 +3x, then what is the value of g(f(-3)) ?
A. -340
B. -17
C. -2
D. 0
E. 238
E. 238
Consider a cone with a height of 12 inches and a radius at its base of 3 inches. What is the volume of this cone? F. 3pi G. 12pi H. 36pi J. 72pi K. 108pi
H. 36pi
A box is manufactured to contain either laptop computers or notebook computers. When the computer systems are removed from the box, it is reused to hold other items. If the length of the box is 20cm, the width is 15cm, and the height is 25cm, what is the volume of the box?
A. 150
B. 300
C. 750
D. 7500
E. 15000
D. 7500
What is the greatest common factor of 18, 54, and 90?
A. 54
B. 18
C. 9
D. 3
E. 1
B. 18
A. 2a2+4b2
B. 4a2+8b2
C. 4a2+16b2
D. 4a2+8ab+16b2
E. 4a2+16ab+16b2
E. 4a2+16ab+16b2
If i = the root of -1, then which is equivalent to (3-i)(4+i)?
A. 12-i+i2
B. 13-i
C. 11+i
D. 11-i
E. 7
B. 13-i
Consider two stores in a town. The first store is a DVD rentals store. The second is a pizza place where customers collect their pizzas after they order pizza online. The DVD rentals store is represented by the coordinates (-4, 2) and the online pizza place is represented by the coordinates (2,-4). If the DVD rental store and the online pizza place are connected by a line segment, what is the midpoint of this line?
F. (1, 1)
G. (-1,-1)
H. (2, 2)
J. (-2,-2)
K. (-3,-3)
G. (-1,-1)
A right triangle has a leg that is 4in long and the hypotenuse is 5in long. What is the area of the triangle?
F. 4
G. 5
H. 6
J. 12
K. 20
H. 6
If 10 is 20% of a number, then what is 200% of that number?
A. 200
B. 100
C. 80
D. 40
E. 20
B. 100
Uptown Cable, a cable TV provider, charges each customer $120 for installation plus $25 per month for cable programming. Uptown's competitor, Downtown Cable, charges each customer $60 for installation plus $35 per month for cable programming. A customer who signs up with Uptown will pay the same total amount for cable TV as a customer who signs up with Downtown if each pays for installation and cable programming for how many months? F. 3 G. 6 H. 10 J.18 K. 30
G. 6
H. -2x
If a circle with center (-6, 6) is tangent to the x axis in the standard (x, y) coordinate plane, what is the diameter of the circle? A. -6 B. -12 C. 6 D. 12 E. 36
D. 12
A circle has a circumference of 25. What is its approximate radius?
A. 5
B. 12
C. 3
D. 4
E. 13
D. 4
Dale Jr. leaves home to drive to Daytona. He drives 220 miles in four hours. Then stops for lunch. He then drives 15 miles per hour faster and reaches Daytona three hours later. How far does Dale Jr. drive in total?
A. 201 miles
B. 265 miles
C. 430 miles
D. 540 miles
E. 573miles
C. 430 miles
If x3-4=4, then x=?
A. 2 or -2
B. 0
C. 2
D. root 8
E. 512
F. -6 and 5
The table below gives the coordinate points for a line in the standard (x,y) coordinate plane. What does c equal?
X Y
-4 -6
4 2
3 c
0 -2
A. -2
B. -2
C. 0
D. 1
E. 2
D. 1
A square has a side length of 4 and is inscribed in a circle. What is the area of the circle?
A. 4pi
B. 16pi
C. 8pi
D. 32pi
E. 64pi
C. 8pi