Algebra Review
Write an equation in point slope form of a line that goes through (-1,2) with slope 3
y-2=3(x+1)
-sqrt(2)/2
log3(1/9)
-2
Condense and simplify:
log(5) + log(200) - log(10)
2
Who wrote Hamlet?
William Shakespeare
g(x) = 4x-7
Find f(g(3))
16
(calc active) A 25 ft ladder leans against the top of a 23 foot building, what angle does the ladder make with the ground?
67 degrees
Simplify completely:
(3x3)2*x-4 / (27x5*x3)
1/3x6
What is the pH of a solution with H+ concentation of 3.2x10-9
pH = -log(H+)
8.5
What is a group of crows called?
a murder
logs / exponentials
(calc active) A helicopter at an altitude of 1000 ft spots a boat at an angle of depression of 11 degrees. How far away is the boat (through the air)?
5241 ft
What are the asymptotes of the following graphs?
y = 2log(x-3) + 1
y = 3*2x - 5
x = 3
y = -5
What is the probability of picking a king or an ace out of a deck of cards?
8/52, or 2/13
Which country gifted the Statue of Liberty to the US?
France
What is the test for a function? Test for an inverse?
Vertical line test, horizontal line test
Using an identity, find the exact value of cos(105)
(sqrt(2)-sqrt(6)) / 4
calc active) Solve for x:
7*8(x-2)+5 = 26
2.528
(calc active)
There are 16 students in a class and the teacher is choosing 3 representatives, how many ways can this be done?
560
What are the four states of matter?
Solid, liquid, gas, plasma
What is the location of the vertex of this quadratic?
y = -3(2x-4)2-8
(2,-8)
Solve for x on 0 < x < 360
4sin(x) - 1 = 2tan(x)cos(x)
30,150
Solve for x:
log3(x-5)+log3(x+3)=2
x = 6
(calc active) A population is modeled by the function y=150e0.01t where t is years after 1990, measured in millions of people.
What is the population in 1990?
When is the population 300 million?
150 million
2059
He was the last major league baseball player to hit above .400, hitting .406 in 1941
Ted Williams