Pre-Algebra
A radio station offers free competitions. Normally, one in every twenty contestants wins the free competition. What is the probability of losing the free competition?
A. 1/20
B. 1/19
C. 19/20
D. 19/1
E. 20/19
C. 19/20
How many real solutions exist for the following equation: x2 + 8 = 0
A. 0
B. 1
C. 2
D. 4
E. 8
A. 0
Consider the following matrices:
A: [-1 4 3 -2] B: [-3 2 -2 8].
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. 6π
B. 12π
C. 24π
D. 36π
E. 144π
B. 12π
A football field is 100 yards long and 30 yards wide. What is the area of the football field in square yards?
F. 130
G. 150
H. 300
J. 1500
K. 3000
K. 3,000 yd2
Flight A with a low-cost airline travels at 90 miles per hour and covers 360 miles. Flight B covers the same distance but travels at 60 miles per hour. How much longer does it take Flight B than Flight A to cover that distance?
F. 2 hours
G. 2.5 hours
H. 4 hours
J. 6 hours
K. 5 hours
F. 2 hours
Which of the following equations is equal to √45?
A. 1 ÷ 45
B. 5√9
C. 9√5
D. 3√5
E. 5√3
D. 3√5
Solve for X: x2+9x+18=0
A. x=6, x=3
B. x=9, x=2
C. x=-9, x=-2
D. x=-6, x=-3
D. x=-6, x=-3
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?
(V = 1/3π*r2*h)
F. 3π
G. 12π
H. 36π
J. 72π
K. 108π
H. 36π
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
A company purchases cell phones at a cost of x and sells the cell phones at four times the cost. What equation below represents the profit made on each sell phone?
A. x
B. 3x
C. 4x
D. 3 - x
E. 4 - x
B. 3x
An internet provider sells internet packages based on low monthly rates. The price for the internet service depends on the speed of the internet connection. The chart below indicates the prices of the various internet packages:
Price in dollars (P) 10 20 30 40
Gigabyte speed (S) 2 4 6 8.
Which equation represents the prices of these internet packages?
A. P = (S - 5)
B. P = (S + 5) x 5
C. P = 5 ÷ S
D. P = S x 5
E. P = S ÷ 5
D. P = S x 5
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 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)
If one leg of a triangle is 5cm and the other leg is 12cm, what is the measurement of the hypotenuse of the triangle?
A. 5√12cm
B. 12√5cm
C. √17cm
D. 13cm
E. 17cm
D. 13cm
Solve: | √4 - 12 | = ?
F. -8
G. -10
H. 8
J. 10
K. 12
J. 10
Consider a class which has n students. In this class, t% of the students subscribe to digital TV packages. Which of the following equations represents the number of students who do NOT subscribe to any digital TV package?
F. 100(n - t)
G. (100 - t)n ÷ 100
H. (100 - t)n x 100
J. (1 - t)n
K. n - t
G. (100 - t)n ÷ 100
A company sells jeans and T-shirts. J represents jeans and T represents T-shirts in the equations below: 2J + T = $50 J + 2T = $40 Sarah buys one pair of jeans and one T-shirt. How much does she pay for her entire purchase?
F. $10
G. $20
H. $30
J. $70
K. $90
H. $30
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 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
In a shipment of 100 mp3 players, 1% are faulty. What is the ratio of non-faulty mp3 players to faulty mp3 players?
A. 1 : 100
B. 99 : 100
C. 1 : 99
D. 99 : 1
E. 1 : 499
D. 99 : 1
What is the largest possible product of 2 even integers whose sum is 22?
F. 11
G. 44
H. 100
J. 120
K. 144
J. 120
Solve: (x2 y5)-2/(x4 y-2)-5
A. x16/y20
B.x12/y15
C.y20/x16
D.y15/x12
A. x16/y20
If M has a nonzero x-coordinate and a nonzero y-coordinate and the coordinates have opposite signs, then point M must be located in which of the following 4 quadrants?
A. I only
B. III only
C. I or III only
D. I or IV only
E. II or IV only
E. II or IV only
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