Pre-Calculus 11 Jeopardy!

Radicals

100

sqrt(5)timessqrt(5)timessqrt(8)=

10sqrt(2)

200

State the restrictions:

sqrt(3x-2)

x>=3/2

300

 sqrt(3)(7-2sqrt3)-sqrt75= 

2sqrt3-6

400

Solve:

 x-5=sqrt(x+1) 

x=8

500

After using the Power Property of Equality to solve a radical equation, it is always good to check for _________ _____.

Extraneous roots.

Trigonometry

100

If  theta=223^o , then what is the reference angle?

43 degrees.

200

If  sintheta>0 and  costheta<0 , then which quadrant will the terminal arm reside?

QII

300

Given an SAS triangle, this law can be used to determine the third side-length.

What is the cosine law?

400

For an SSA triangle in which  angleA=30^o ,  a=10, b=30, then how many possible triangles will there be?

No possible triangle.

500

Given  triangleABC,a=6,b=4, and c=7 , what is the approximate measure of the largest angle?

angleCapprox86^o

Quadratics

100

What is the degree of a quadratic function?

2

200

Determine the roots:

 x^2-5x-36=0 

x=-4, x=9

300

If  b^2-4ac=0 , then what does this tell us about the number of solutions?

There is exactly one solution.

400

If  y=ax^2+bx+c , where a < 0, then the function is in ______ form and is _______ down.

Standard form, concave down.

500

Solve:

 2x^2-7x-3=0 

x=(7+sqrt73)/4,x=(7-sqrt73)/4

Rational Expressions and Equations

100

Which of the following is not a rational expression?

i)   (x^2 - x)/(x^3 + x)       ii)  (x-1)/sqrt(x)   

iii)  1/x            iv)  x 

 (x-1)/sqrt(x)  

200

State the non-permissible values.

(x^2-3x)/(x(x^2 + 2x + 1))

 xne-1, xne0 

300

 a/b+c/d= (Also state non-permissible values)

(ad+bc)/(bd)

bne0, dne0

400

Simplify and state non-permissible values:

 (3x-6)/(2x^2+x-10) 

3/(2x+5)

xne2,-5/2

500

State non-permissible values and simplify:

 (x-1)/(x^2+x-6) - (x-2)/(x^2+4x+3) 

 xne-3,-1,2 

 (4x-5)/((x+3)(x-2)(x+1)) 

Absolute Value and Reciprocal Functions

100

True or False:

There is a number 'c,' such that  abs(f(x)) < 0 

False.

abs(f(x))>= 0  forall  x

200

If  y=|x^2-9|, where  -3<x<3, then  y= 

9-x^2

300

If  theta<phi , the  |theta-phi|= 

phi-theta

400

Given  f(x)=x^2+4 , state the domain and range of the reciprocal function  y=1/f(x) 

{x|x epsilon R}

{y|0<y<4, y epsilon R}

500

If  y=2x^2+13x-7 , then what will be the vertical asymptotes of the reciprocal function  y=1/f(x) ?

x=1/2,x=-7

Random

100

This Greek symbol denotes the ratio of a circle's circumference divided by its diameter.

What is

pi?

200

This famous mathematician/physicist is known for inventing calculus.

Who is Sir Isaac Newton?

300

This famous mathematician pioneered Game Theory and suffered from Schizophrenia, once proclaiming to be the Emperor of Antarctica.

Who is John Nash?

400

This VERY large number has a famous search engine named after it.

10¹⁰⁰ 

500

In Roman Numerals:

IV + X - III + V = 

XVI