Show:
Pre-Algebra
Elementary Algebra
Intermediate Algebra
Coordinate Geometry
Plane Geometry
100
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
100
How many real solutions exist for the following equation: x^2 + 8 = 0 A. 0 B. 1 C. 2 D. 4 E. 8
A. 0
100
Consider the following [2 by 2] matrices: A= [-1 4, -2 8] B= [-3 2, 3 -2] What is A + B? F. [2 2, -10 10] G. [2 -2, 10 -10] H. [-4 6, -4 6] I. [4 -6, 4 -6] J. [4 6, 4 6]
H. [-4 6, -4 6]
100
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
100
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. 3000
200
A flight with a low-cost airline travels 90 miles per hour for 3 hours. How far has this cheap flight traveled? F. 135 miles G. 270 miles H. 900 miles J. 1350 miles K. 2700 miles
G. 270 miles
200
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
200
x and y are real numbers. ai and bi are imaginary numbers. When does ai + x = bi + y ? A. When a = b B. When x = y C. When a = x and b = y D. When a = y and b = x E. When a = b and x = y
E. When a = b and x = y
200
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
200
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
300
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
300
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) ´ 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
300
If f(x) = 5x-2 and g(x) = x^2 +3x, then what is the value of g(f(-3)) ? A. -340 B. -17 C. -2 D. 0 E. 238
E. 238
300
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)
300
If one leg of a right triangle is 5cm and the other leg is 12cm, what is the measurement of the hypotenuse of the right triangle? A. 5√12cm B. 12√5cm C. √17cm D. 13cm E. 17cm
D. 13cm
400
| √4 - 12 | = ? F. -8 G. -10 H. 8 J. 10 K. 12
J. 10
400
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
400
A company sells jeans and T-shirts. J represents jeans and T represents T-shirts in the equations below: 2J + T = $50 and 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
400
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
400
A right triangle has a leg that is 4 inches long and the hypotenuse is 5 inches long. What is the area of the triangle? F. 4 G. 5 H. 6 J. 12 K. 20
H. 6
500
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
500
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
500
In a reforestation program, 4800 seedlings were planted. Twice as many maple as birch were planted. The number of oaks was 100 more than twice the number of birch. How many of each type of seedling was planted? A. 6 Maple, 8 Birch, 100 Oak B. 4800 Maple, 9600 Birch, 5 Oak C. 1200 Maple, 2400 Birch, 4800 Oak D. 1880 Maple, 940 Birch, 1980 Oak E. 1860 Maple, 930 Birch, 2110 Oak
500
Marta has just bought a new pair of tennis shoes. She wants to wear the new running shoes to run up and down a hill near her house. The measurements of the hill can be placed on a two dimensional linear graph on which x = 5 and y = 165. If the line crosses the y axis at 15, what is the slope of this hill? A. 10 B. 20 C. 30 D. 36 E. 75
C. 30
500
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