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
What are the values for a that satisfy the equation (a+y)(a+z)=0?
A. -y and -z
B. -y and z
C. -yz
D. y and -z
E. y and z
A. -y and -z
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 field is 100 yards long and 30 yards wide. What is the area of the field in square yards?
F. 130
G. 150
H. 300
J. 1500
K. 3000
H. 300
A flight travels 437 miles per hour for 2 hours and 15 minutes. Approximately how far has this flight traveled?
F. 194 miles
G. 203 miles
H. 940 miles
J. 983 miles
K. 1200 miles
J. 983 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 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
If the length of a box is 20cm, the width is 15cm, and the height is 25cm, what is the volume of the box in cubic cm?
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
What number can you add to the numerator and denominator of 5/8 to get 1/2?
A. -5
B. -3
C. -2
D. 0
E. 1
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 rental store. The second is a pizza place. The DVD rental store is represented by the coordinates (-4, 2) and the pizza place is represented by the coordinates (2,-4). If the DVD rental store and the 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
| 2 - 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 in square inches?
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. 100
H. 120
J. 121
K. 144
H. 120
What is the solution set of | 3a - 3 | > 12?
A. a > 5 and a < -5
B. a > 5 and a < -3
C. a > -5 and a < 5
D. a > -5 and a < 3
E. a < 5 and a > -5
Marta has just bought a new pair of running shoes. She wants to wear the new running shoes to run up and down a hill near her house. The top of the hill can be placed on a two dimensional linear graph at the point (5, 165). If the line of the hill 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
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°