Pre-Algebra
A radio station offers free competitions. Normally, one in every twenty contestants wins the competition. What is the probability of losing the 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. What is A + B?
A = [ -1 4 -2 8] B = [ -3 2 -2 -2]
F. [ 2 2 0 10] G. [ -2 -2 0 -10]
H. [ -4 6 -4 6] I. [ 4 -6 4 -6J J. [ 4 6 4 6]
H. -4 6 -4 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
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
A flight with a low-cost airline travels 550 miles per hour for 3.2 hours. How far has this plane traveled?
F. 172 miles G. 1265 miles H. 1600 miles
J. 1760 miles K. 2700 miles
J. 1760 miles
Which of the following is equal to √(45)?
A. 1÷45 B. 5√9 C. 9√5
D. 3√5 E. 5√3
D. 3√5
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
Consider a cone with a height of 12 inches and a base with a radius of 3 inches. What is the volume of this cone?
F. 3pi G. 12pi H. 36pi J. 72pi K. 108pi
H. 36pi
A box has length 20 cm, width 15 cm, and height 25 cm. 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 phones at four times the cost. What equation below represents the profit made on each cell phone?
A. x B. 3x C. 4x D. 3 - x E. 4 - x
B. 3x
An internet provider sells internet packages. The monthly price for each package, P, depends on the speed of the internet connection, S, according to the equation P = S x 5. What is the monthly price for an internet speed of 5 Gigabytes per second?
A. $10 B. $15 C. $20 D. $25 E. $30
D. $25
If f(x) = 5x-2 and g(x) = x2 +3x, then what is the value of g(f(-3)) ?
A. -340 B. -92 C. -2 D. 0 E. 238
E. 238
Consider two stores in a town. On a map, the first store is represented by the coordinates (-4, 2) and the second is represented by the coordinates (2,-4). If the stores 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 right triangle is 5 cm and the other leg is 12 cm, what is the measurement of the hypotenuse in centimeters?
A. 5√12 B. 12√5 C. √17 D. 13 E. 17
D. 13cm
| √(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 4 in long and a hypotenuse of 5in. What is the area of the triangle in square inches?
F. 4 G. 5 H. 6 J. 12 K. 20
H. 6
In a shipment of 100 pairs of earbuds, 1% are faulty. What is the ratio of non-faulty earbuds to faulty earbuds?
A. 1:100 B. 99:100 C. 1:99 D. 99:1 E. 1:9
D. 99: 1
What is the largest possible product of two even integers whose sum is 22?
F. 22 G. 40 H. 72 J. 96 K. 120
K. 120
In the equations below, x represents the cost of one video game when renting video games online and y represents the cost of one movie ticket when purchasing discounted movie tickets online. If x - 2 > 5 and y = x - 2, then the cost of 2 discounted movie tickets is greater than which of the following?
A. x - 2 B. x - 5 C. y + 2 D. 5 E. 10
E. 10
The measurements of a hill can be placed on a two dimensional linear graph where the top of the hill is at the coordinate (5, 165). If the bottom of the hill is on the y axis at 15, what is the slope?
A. 10 B. 20 C. 30 D. 36 E. 75
C. 30
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
C. 72