Dante and Tristan's Jeopardy

Variations

100

The constant of  7=0.9x

what is 0.9

200

275=K× 125

The Value of K

What is 2.2

300

83=5.7²x 

The value of X

What is x=2.55

400

y varies directly with the square root of x and inversely with z. y is 75, x is 49, z is 23, find x when y is 56 and z is 21.

The value of X

What is x= 4.77

500

Coach Adams math problem was too hard for his other coworkers to understand so he wants to test his class. If Y has a direct variation to the quad root of x and an inverse variation to z to the power of x. When x =65536, Z=1, and Y=132 

Tell me the value of K

Hint: quad root of X is ∜ 

What is K=8.5

Rational Expressions

100

The Transformations of Y=-2/(x+4)-6

What is a relfection over y axis vertical stretch of 2, shift to the left 4 units and down 6 units. 

200

5-3x          12x+4

-----     +   ------

6x-3           6x-3

Simplify the problem

             3x+3

What is  -------

             2x-1

300

 (x-5)(x-6)           (x+7)(x+2)

 -------------    x   -------------

  x²+20x-125        (x-6)(x+7)

Simplify the problem

                  x+2

What is     ----------

                  x+25

400

 (x-5)(x+3)                            x²-7x-98

------------------     ÷      ----------------------

 6x³+36x²+630x                6x³-42x²-588x

The solution to this question

                  (x-5)(x+3)                  x²-2x-15

What is      ---------------       or     ------------------

                         1                                  1

500

    x²+5x-24                x²+4x+4             x²+17+72

 -------------   x     --------------- ÷    ---------------

   x²+6x-24                  x²-3x                  x²+10+24

Solve then simplify this problem

                  x²+8x+12

What is    -----------------

                   x²+9x

Transformations

100

2√(x-4)+7

The number 2 alters the parent function by

What is a vertical stretch of 2

200

√(x-9)+3

How does the 9 effect the function

What is right 9

300

√(x-5)+1

Name all of the transformations

What is right 5 and up 1

400

4√(x-1)-7

Name all of the transformations

What is vertical stretch by 4, right 1, and down 7

500

-1/3√(x+3)-4

Name all of the transformations

What is reflection, vertical shrink by 1/3, left 3, and down 4

Polynomials

100

X=√ (10x+24)

The value of X

Remember check for extraneous solutions

What is X=12

200

X+4=√ (-11x-44)

The value of X

What is x=-4

300

√(12-x)+7x=8x

The value of x

X=3

400

√(x-8)=√(43-2x)

The value of x

What is 17

500

√(6x-38)=x-5  =   √(-5x+51)+11=x

True or false

what is false

RANDOM

100

The constant of 17x=y

What is 17

200

        5                    42

-------------  +  --------------

     2x-18              2x-18

What is the solution

What is         47

              ------------

                  2x-18

300

-5/3√(x+9)-2

Name all of the functions

What is reflection, vertical stretch by 5/3, left 9, and down 2

400

√(7x-38)=x-2  =   √(3x+51)+12=x

True or false

What is false

500

The constant of 95=1.0526x53

What is 1.0526