Algebra
Simplify: 3x+5x
What mathematical constant represents the ratio of a circle's circumference to its diameter?
Pi (π)
A bucket has the following marbles: 2 red, 3 blue, and 5 green. What's the probability of not getting red?
8/10 or 0.8 or 80%
What number system do we use today that originated in ancient India and was brought to Europe by Arab mathematicians?
The Hindu-Arabic numeral system (aka base 10)
What is the degree of the polynomial 2x2+7x+5x3
3
For what x values in [0, 2pi) does sin(x) = cos(x)?
pi/4 and 5pi/4
Suppose we have data from a binomial distribution where n = 10 and p =0.72. Find the mean.
mean = 7.2
What counting tool, used for thousands of years, is often associated with ancient China?
The abacus
Solve for x: 2(x−1)+3=x+7
x = 5
What is the slope of the line represented by the equation 3x+4y=12
-3/4
How many possible license plates can be made using the following structure: number, letter, number, number, number, letter
6760000 ways
Which ancient Greek mathematician developed a theorem about right triangles that is still taught in schools today?
Pythagoras
Factor completely: 2x3+4x2−6x
2x(x+3)(x-1)
Simplify Completely:
sin(x)cos(x)
sin2(x)-cos2(x)
-(1/2)sec(2x)
Suppose you have a standard 52-card deck. What's the probability of drawing a spade or a face card?
22/52 or 42.31%
What branch of mathematics, fundamental to cryptography, studies properties of numbers like prime numbers?
Number Theory