algebra 1
geometry
algebra 2
calculus
statistics
100
Solve the equation for x.
x/3 = (2x + 3)/7
x = 9
100
Which of the following could be the side lengths of a right triangle?
a) 3, 13, and 14
b) 4, 5, and 6
c) 4, 9, and 10
d) 5, 10 and 15
e) 5, 12 and 13
e) 5, 12 and 13
100
Solve the system of equations.
y = –3x + 4
x + 4y = –6
x = 2
y = -2
100
The solution of (dy/dx) + y =e^x is
2ye^x = e(2x) + c
100
Find the mean of 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10
5.5
200
This year, a salesman sells a total of $60,000 worth of steak knives by going door-to-door. This represents a 20% increase from the year before. What was the value of his sales last year?
x = 50,000
200
In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest side?
3
200
John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?
1 hour and 12 minutes
200
The solution of the differential equation is (x+2y^3) dy/dx = y is
x=y(y^2+c)
200
The mean and standard deviation of a set of 99 observations is 50 and 2 respectively. If the 50th observation is 46, find the median of the remaining 49 observations:
48
300
Solve the equation for x.
13 – 2(2x + 1) = 1
x = 5/2
300
What is the sum of the measures of the interior angles of a hexagon?
720 degrees
300
Factor the expression completely.
6×3- 4×2 – 16x
2x(3x + 4)(x – 2)
300
Find the limit as x approaches 0 of sin(x)/3x
1/3
300
A company employs 100 people. If their salaries are normally distributed with a mean of $25,000 and a standard deviation of $3,000, how many of them earn less than $20,000 per year?
32
400
If 3x + 8x + 4x = 6x + 63, then what is 5x + 23?
58
400
If two angles in a triangle measure 95 degrees and 35 degrees, what is the measurement of the last angle?
50
400
Two cars are traveling north along a highway. The first drives at 40 mph, and the second, which leaves 3 hours later, travels at 60 mph. How long after the second car leaves will it take for the second car to catch the first?
2 hours
400
Find the limit as x approaches (pi/3) of [sin(x) + cos (x)]
1 + √3 / 2
400
A bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. What is the probability of picking a green marble at random?
1/5
500
Carol is three times older than Andrew. Brad is two years older than Andrew. In six years, the sum of Andrew’s and Brad’s ages will be the same as Carol’s age. How old is Carol?
24 years old
500
The circumference of a circle is 30
. What is its area?
225
500
Solve the equation for x.
5×2 + 6x = 3
500
Find the approximate area of the surface generated by revolving the arc of the curve y=2x^3 about the x-axis between x=0 and x=2.
806.28
500
What is the percentage increase from 30 to 48?
60%