Logs and Exponents
Trigonometry
Factor This
It's Quadratic
Grab Bag
100
State the domain and range: y=log_3(3x+15)+4
What is domain: (-5,infinity) range: all reals
100
What are the six basic trig ratios?
What is sin, cos, tan, csc, sec, cot
100
State the quadratic formula
What is x=(-b+-squareroot(b^2-4ac))/2a
100
What are the domain and range of f(x)=x+6
What is domain: All reals; range: all reals
200
Write log_6(x) in terms of base 8 logarithms
What is log_8(x)/log_8(6)
200
Which of the three primary trig ratios are negative in the second quadrant?
What is cos, tan
200
Find all zeros: f(x)=10x^3-11x^2+3x
What is x={0,1/2,3/5}
200
What are the factors of x^2+x-12?
What is (x+4)(x-3)
200
If (unbounded) disease growth as a function of time were modeled mathematically, what function would probably be the best model function?
What is the exponential function
300
Solve: log_15(48+n^2)=log_15(2n^2+2n)
What is n={-8,6}
300
How many radians is 45 degrees?
What is pi/4
300
Factor completely and find the zeros: f(x)=x^3-x^2-6x
What is x(x-3)(x+2)
300
Find the zeros: x^2-5x+6
What is x={2,3}
300
How many radians are in 180 degrees?
What is pi
400
Write as a single logarithm: 5log_3(x) + (log_3(a))/3
What is log_3(x^5*cuberoot(a))
400
sin^2(theta)+cos^2(theta)=?
What is 1
400
Factor completely: f(x)=6x^3-5x-1
What is (x-1)(6x^2+6x+1)
400
Factor completely: x^2+3x-10
What is (x-2)(x+5)
400
A man drives 140 miles in 1.5 hours. At this rate, how many miles (to the nearest mile) will he travel in 4.7 hours?
What is 439 miles
500
Solve for r: 6^(-3r)=36
What is r=-2/3
500
If the altitude of a right triangle is 3 units and its hypotenuse is 5 units, what is the length of its base?
What is 4 units
500
Factor completely: f(x)=x^4-x^2-42
What is (x^2-7)(x^2+6)
500
Factor completely: 2x^2+7x-4
What is (2x-1)(x+4)
500
Find the value of x such that a line perpendicular to the line between (3,4) and (x,8) would have a slope of 3/4.
What is x=0
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