Right Triangles
Trigonometry
Linear & Quadratics
Polynomials
Functions
100
Ratios of sine, cosine, and tangent
What is
sin = (opposite)/(hypoten use) , c o s i n e = (adjacent)/(hypoten use) , tangent = (opposite)/(adjacent)
100
Period, phase shift, and amplitude of
f(x) = -4sin(4(x-pi/2))+7
What is
period = pi/2, phase shift = pi/2 to, amplitude = 4
100
Find the length and slope of the segment that connects (7,3) and (13, 7).
What is
l=sqrt(52) , m=3/2
100
Apply the Rational Root Theorem
P(x) = 7x^17+sqrt5x^6-x^3+4x^2-8x+6
What is
±1/1,±1/7, ±2/1. ±2/7, ±3/1, ±3/7, ±6/1,±6/7
100
Two key points of
h(x)=e^x
What is (0,1) & (1, e)
200
If
sin=3/8, tan= 3/6
, what is cosine?
What is
cos = 6/8
200
Find the radius of a circle if a central angle of 20° intersects an arc of length
pi/2 units
What is r = 4.5
200
Find the x-intercept, y-intercept, and slope:
8x - 6y = 24
What is
x: (3,0), y: (0,-4), m=4/3
200
If P(x) is a polynomial with zeros at
x=2, x=-sqrt(15), x=4+2i
, what is its minimal degree and what other zeros do we know about?
What is
D=5, x=sqrt(15), x=4-2i
200
Amount on deposit after 100 years if $2,000 is invested at 5% interest compounded quarterly and no other deposits are made.
What is
2,000xx(1+.05/4)^(4xx100), $287,768.17
300
Find
bar (BC)
What is
approx 5
300
Find c
What is
c approx 6.7
300
Equation of the line through (2, 3) and perpendicular to 2x + y = 10
What is
y-3=1/2(x-2)
300
Degree, Leading Coefficient, constant, and end behavior of
f(x) = -2(x-2)(x+1)(x+2)(x-1)
What is
D=4, LC=-2, C=-8, Tails: l=downarrow, r=downarrow
300
Find f(-3) and f(30) if 
What is
f(-3) = -7
f(30) = 9
400
Find
angle A
What is
angleAapprox53.1°
400
Find b
What is
bapprox9.8
400
Factored Form and zeros of
y=x^2+5x-14
What is
y=(x-2)(x+7), x=2,-7
400
Zeros of
P(x)=(x-2)^5(x+8)^6
and behavior at those zeros
What is
x=2 rightarrowcrosses, x=-8rightarrowt ouches&turns
400
Evaluate for x = -3.25 if
f(x) = abs(x-2)+3
g(x) = [x]
What is
f(-3) = 8.25
g(-3) = -4
500
From the top of a 180ft cliff, the angle of depression to the base of a lighthouse is 22°. How far is the lighthouse from the base of the cliff?
What is
approx 445.5ft
500
Find
theta
if the angle is in standard position and the terminal ray passes through (-7, -9).
What is
theta approx 232.1°
500
Vertex Form, Vertex, and Classification of Maximum/Minimum of
4x^2-16x+18
What is
y=4(x-2)^2+2, Mi n: (2, 2)
500
Divide
3x^3-4x^2+5x-7
by
x^2-2
What is 3x-4 R11x-15
500
Graph:
f(theta) = 3sin(theta -pi/2)
What is
