Alg
Simplify the expression: 3(x + 2) - 4(x - 1).
-x + 10
Determine the volume of a cube with edge length 6 centimeters.
216 cubic centimeters
1/2
What is the calculus term for the instantaneous rate of change at a point?
derivative
Calculate the range of the following data set: 5, 9, 2, 7, and 1.
8
What is the domain of the function y = sqrt(5x-2)
x >= 2/5 or [2/5, infinity)
A line tangent to a circle forms what type of angle with the radius?
A right angle
Provide an example of integer lengths for two legs of a right triangle that result in the length of the hypotenuse also being an integer.
3 - 4 - 5, 5 - 12 - 13, 8 - 15 - 17, 7 - 24 - 25, and more
Find the limit as x approaches 2 for the expression (x^2 - 4)/(x - 2).
4
What does standard deviation measure?
Variance of a distribution
What is an expression that can represent a line with slope m that passes through the point (a, b)?
y - b = m(x - a) or y = m(x - a) + b
How much larger is the volume of a cylinder compared to that of a circular cone, given that they have the same radius and height?
tan x = 1 at what two angles in the domain [0, 2pi)?
pi/4 and 5pi/4
What is the derivative of y = 4cos(pi/3)?
0
What is necessary in a study to infer causation between the independent variable and dependent variable?
Random assignment
Recite the quadratic formula.
(-b +- sqrt(b^2 - 4ac))/(2a)
What is the sum of the interior angles in a concave heptagon?
900 degrees
If the length of the hypotenuse in a right triangle is 10 units and one of the angles is 60 degrees, what is the length of the leg opposite to the 60 degree angle?
5 sqrt(3) units
Find the value of a in f(x) = a^x such that f(x)=f'(x).
a = e
On a graph of a distribution that is skewed right, which of the following is easiest to identify: mean, median, or mode?
mode
Factor x^3 - y^3.
Estimate pi. (Person who gets the most digits gets the point for the question)
3.1415926535897932384626433832795028841971 ...
Given an equilateral triangle with an edge length of x units, what is the expression that represents its area?
(sqrt(3)x2)/4
If Bob has 5 apples and Alice has 2 oranges, calculate the area under the curve of x^2 from x = 0 to x = 3.
9 square units
Define what the p-value of a significance test is.
It is the probability that the statistic occurred by random chance alone assuming that the null hypothesis is true.