Alligator Problems
Those Weird Circle Problems
U's, V's, and O's
Inverse What?
Intersections Galore
100
2x + 3 > 7
X is greater than this number.
x > 2
100
The names of the two shown angles (in order).
Central angle
Inscribed angle
100
The parent functions for these two graphs (in order).
f(x) = |x|
f(x) = x2
100
f(f-1(x)) = ?
The result of this equation.
x
100
y = x2+3x - 4
y = x + 7
The location on the graph that yields a solution (in words).
Their intersection (where they cross)
200
(3x+4)/7 > 1
X is greater than this number.
x > 1
200
The measure of our arc and angle (in order).
mAB = 120
m<C = 60
200
y = 7|x-3| - 4
y = -(x+2)2+6
The vertex for the two equations (in order).
(3, -4)
(-2, 6)
200
f(x)=
1) Subtract 7
2) Multiply by 3
3) Add 4
The inverse for f(x) (full notation required).
f-1(x) = 3(x-7) + 4
200
y = 2x + 3
y = x - 2
The point where these two equations intersect.
(-5,-7)
300
(x-3)2 > 4
These are the 2 x-ranges that make this inequality true.
x < 1
x > 5
300
The missing values for our figure (in order).
mAB = 64
m<E = 32
m<C = 32
300
(x-6)2+(y+3)2= 64
The center and radius of this circle (in order).
C: (6,-3)
R: 8
300
f(x) =
The inverse equation for f(x) (full notation required).
f-1(x) =
300
y = x2+3x-4
y = x + 11
The location(s) where these two equations intersect.
(-5,6)
(3,14)
400
x2+8x + 16 > 4
These are the two x-ranges that make this inequality true.
x < -6
x > -2
400
The measurements for each arc in the circle (in order).
mAB = 40
mBC = 20
mCD = 100
400
2x2+8x = 14
The vertex and the multiplier for this equation (in order).
V: (-2,22)
a = 2
400
f-1(x) =
The original equation for f-1(x) (full notation required).
f(x) = 4(x-8)2+5
400
y = x2+4x
y = -2x
The solution(s) to this system of equations.
(0,0)
(-6,12)
500
2x2+12x < 144
The solution to this inequality.
-12 < x < 6
500
The measurements of the 3 missing arcs (in order).
mAB = 60
mBC = 140
mCD = 0
500
x2+6x+y2-12y = 4
The center and radius of this circle (in order).
C: (-3,6)
R: 7
500
f(x) =
The inverse equation for f(x) (full notation required).
f-1(x) =
500
y = (x+2)2-4
y = -2(x+2)2
The solution(s) to this system of equations (leave in exact form)
x =
x =