Logarithms
(Day School) Quadratics
Trig Applications
Analytic Geometry **Double the Points**
SOM Trig
100
if log a =3 and log b = -4, what is the value of log (a2b4)
-10
100
y=2(x-2)(x+4) in standard form.
What is y=-2x2-4x+16?
100
The rise and run of a ramp if...
two years ago, Fabio made a skateboard ramp that had a rise of 30cm and a run of 1m. Now he plans to build another ramp with the same slope, but with a 2m long board for the ramp.
What is a rise of 57.5cm and a run of 191.6cm?
100
Distance between two points A(2,6) and B(5,2)
What is 5?
100
TRUE OR FALSE: When the cosine function is positive and approaching zero, the secant approaches infinity.
true
200
(3 log64 + 4 log3618)/log612
4
200
The transformations that must be applied to y=x^2 to create the graph of y=-2(x-4)^2+16
What is move right four units, up 16 units, vertical stretch by a factor of 2 and reflect about the x-axis?
200
In triangle LMN, m = 19.5 cm, n = 27 cm, and M = 21 degrees.How many solutions does this triangle have and why?
2 solutions, SSA, N>M
200
The type of triangle with vertices A(-1,-1), B(2,0) and C(1,3).
Isoceles
200
If cos theta =-35/37 and csc theta is positive, find tan theta.
tan theta = -12/35
300
ln[log7(log381x)]=0, solve for x
x=7/4
300
The vertex of y=1/2x^2+6x+5
What is (-6,-13)?
300
Angle measurements taken from two points on directly opposite sides of a tree, as 35 deg and 30 deg. The distance between the 2 points is 65 m. Determine the tree's height.
P1/35 deg ------ |Tree|-------30 deg\P2.
HINT: the tree is not equal distance from the 2 points,
What is 20.6m?
300
The equation of the median line from vertex A in triangle ABC, if the coordinates of the vertices are A(-3,-1), B(3,5) and C(7,-3).
What is y=1/4x -1/4?
300
theta is between 90 and 180 deg, find the value of:.
15/4
400
Cashie Bling is looking to invest his $1 million inheritance. If his investment has an annual interest rate of 6% compounded monthly, how many months will it take for him to double his money?
139 months
400
The max height of a rocket launched straight upward that follows the path h=-5t^2+200t.
What is 2000m?
400
The measure of side u in triangle SUN, given that n=58cm, angle N = 38 degrees, and angle U = 72 degrees.
What is 89.6cm?
400
Find the equation of the perpendicular bisector of the line segment joining P(-1,4) to Q(3,-2).
What is y=2/3x+1/3
400
In triangle CDE, C = 47 degrees, E = 52 degrees and d = 124 cm.
Solve the triangle.
D= 81 deg
c= 91.8 cm
e=98.9 cm
500
Solve log5(x-24)=2-log5x
x=25, x=-1 but because of restrictions on log function only x=25 works
500
The relation y=ax^2+bx+c in vertex form.
What is y=a (x+b/2a)^2 - b^2/4a + c ?
500
Length of each rafter (to the nearest m) if...
the base of the rafter is 12.8m wide and the rafters form angles of 48 degress and 44 degrees to the horizontal.
What are 10m and 9m?
500
Find all values for theta between 0 and 360 degrees.
theta = 210 deg or 330 deg