521B Jeopardy Game (6/4/2025)

Numbers

100

What is the largest two digit prime number?

97

200

What is the least common multiple between 8 and 18?

72

300

This type of number cannot be expressed as a ratio of integers.

What is an irrational number?

400

What is the sum of the first 100 natural numbers?

5050

500

What does the symbol '!' mean in mathematics?

'!' is the factorial symbol. E.g.  4! = 4times3times2times1=24 

Trigonometry

100

 sin(90^o)-cos(180^o)= 

2

200

For  0letheta<360^o, if  costheta=-1/2 , then  theta= 

theta=120^o, theta=240^o

300

If  0letheta<360^o,

 costheta=0 , then 

theta=90^o, theta=270^o

400

Given an SSA triangle (two side-lengths and an angle across from one of the given side-lengths), this case results in two possible triangles.

What is the ambiguous case?

500

The Law of Cosines is given by this equation.

 a^2=b^2+c^2-2bc cos(A) 

Quadratic Functions and Equations

100

What is the degree of a quadratic function?

Degree of 2

200

What is the equation for a quadratic function in vertex form?

y=a(x-p)^2+q

300

If  y=1/2x^2-6x+5 , then what is the equation of the axis of symmetry?

x=6

400

If  y=-3(x-2)^2+7, then what is the range?

{y|yle7,yinR}

500

This expression can be used to determine the number of x-intercepts for a quadratic function.

What is the discriminant?

 b^2-4ac 

Radicals and Rational Expressions

100

 sqrt(ab)=sqrtatimessqrtb 

if

age0,bge0

200

 sqrt8+4sqrt32-sqrt50=  

13sqrt2

300

What is  5/(1-sqrt6) with a rational denominator?

-1-sqrt6

400

What are the restrictions on the radical expression  sqrt(1-4x ?

xle1/4

500

Solve:

 sqrt(3n+12)=sqrt(n+8) 

n=-2

Absolute Value and Reciprocal Functions

100

 sqrt(x^2)= 

|x|

200

For which values of  x  is  |x-2|=2-x ?

xle2

300

What is the domain of  y=1/(x^2-5x) ?

{x|xne0,xne5,x inR}

400

If  f(x)=x^2+1 , then what will be the range for the reciprocal function?

{y|y>0,yinR}

500

The absolute value function  y=|x| is also called...

A piece-wise function.