Introduction to numbers
Shapes and stuff
Adding on to numbers
Triangles and circles
Calculating Calculus
100
Write the following equation in slope intercept form.
y+3=2(x-1)
y=2x-5
100
What is the Pythagorean Theorem?
a2+b2=c2
100
How are exponential functions and logarithmic functions related?
They are inverses of each other.
100
Is cos(x) or sin(x) even?
Cosine is an even function.
100
The position function of a particle is given by
when does the particle reach a velocity of 16 m/s ?
The particle would reach a velocity of 16m/s at 3 seconds.
200
Write an equation of a line with the given slope and y-intercept, in slope-intercept form.
slope:2
y-intercept:10
y=2x+10
200
What is the formula for a right cylinder's volume?
(pi)r2h
200
If f(k)=0, then what is a factor of f(x).
x-k is a factor of f(x)
200
sin2(x)+cos2(x)=?
0
200
What is the name of that guy who made the rule about limits that are indeterminate?
L'hopital
300
What is a function?
An association between inputs and outputs, so that every input has exactly one output.
300
What do similar shapes have in common regarding angles and sides?
Corresponding sides are proportional, and corresponding angles are equal.
300
What is the Fundamental Theorem of Algebra?
The Fundamental Theorem of Algebra tells us that every polynomial function has at least one complex zero.
300
What is the period of the sine function?
2(pi)
300
What is the derivative of csc(x)?
-csc(x)cot(x)
400
Two parallel lines exist with different intercepts on a coordinate plane. How many solutions does the system of equations have?
None. They never intercept.
400
How is an inscribed angle related to the arc it intercepts?
The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc.
400
Factor x3-x2-5x-3
(x+1)2(x-3)
400
When is the tangent function undefined?
When x=(pi/2)+npi or when cos(x)=0
400
Evaluate the limit and determine whether the graph of the given function
has any horizontal asymptote(s) or not.
The graph of the given function has a horizontal asymptote at y=-5/2.
500
What are the solutions for x and y in the following system of equations?
7x=2y+85x+2y=4
x=1,y=-1/2
500
Calculate the area of a square base pyramid that has a base edge length of 4 and height of 15.
Roughly 137.
500
Expand log((3x/y2)5)
5(log(3x)-2log(y))
500
In the equation sec-1(x)=pi/3 what is x equal to?
x=2
500
Differentiate:
3csc(x)
-ln(3)*3csc(x)*cot(x)csc(x)