Math Jeopardy

Geometry

100

Find the midpoint of the segment with endpoints (9, 8) and (3, 5).

(6.6.5)

200

Find the approximate area of the rectangle with vertices at (1,2)(5,0)(2, -6) and (-2,-4).

30²

300

Name the shape with points at (4,1) (4,6) (-2,6) and (-2,1)   

Rectangle

400

A figure has vertices (2, 4), (-1, 1) and (1,-1).  In order for the shape to be a rectangle, what is the coordinate of the last vertex?

(4,2)

500

Graph the points on the same coordinate plane.
A(0, 0), B(1,2 ), C(5,2) and D (4, 0) Find the area. Identify the shape. (2 answers)

Shape:Parallelogram

Area:8

Multiplying Monomial by Polynomial

100

-7x(6x²-9)

-43x³+63x

200

x⁴(3x²+7x-9)

3x⁶+7x⁵-9x⁴

300

-2n²(-2n³ + 10n² + 6n)

4n⁵-20n⁴-12n³

400

3r⁴(5r² – r + 4)

15r⁶-3r⁵+12r⁴

500

3x⁶+7x⁵-9x⁴

14x³y⁹

Exponential Functions

100

The population of a certain town is 158,260 and increases exponentially at the rate of 6% every year.

Which equation best represents the population after x years?

y=158,260(1.06)^x

200

Identify the function as exponential growth or decay. Then find the rate of growth or decay as a percent.

y=a(1.09)t

Answer1 : Increase

Answer 2: 9%

300

The value of a book is $258 and decreases at a rate of 8% per year. Find the value of the book after 11 years.

$103.11

400

A ball is dropped to the ground from a certain height.  The expressions 25(0.93)x gives the height of the ball after x number of bounces.  

What is the percent rate of change in the height of the ball after each bounce?

7%

500

Sally deposited $500 into a savings account for 4 years.  The amount of increases at the rate of 10% per year.

Which function represents the amount in the account at the end of the 4 years?

y=500(1.10)⁴

Midpoint and Distance

100

What is the midpoint of the line segment with endpoints at (12,7) and (8,3)? 

(10,5)

200

The endpoints of PQ are (-2,8) and (6,12). What are the coordinates of the midpoint of PQ.

(2,10)

300

A circle has a diameter that extends from (4,-6) to (-8,10). What are the coordinates the center of the circle?

(-2,2)

400

The vertices of a triangle are (4, 3), (8,4) and (4, 10). What is the approximate perimeter of the triangle

18 units

500

Triangle EFG is graphed on a coordinate axis. Angle F is right triangle. The slope of line segment  EF is -4/5. WHat is the slope of the line segment FG.

-5/4

Zero Product Property

100

d(d-5)

d=0 or 5

200

Solve for the zeros (2 zeros).

7x (3x - 9) = 0 

Answer 1; 0

Answer 2; 3

300

(x+4)(x-3)

x=-4 or 3

 

400

(3x-5)(2x+7) = 0

y=5/3 or -7/2

 

500

3x ( 5 - x )=0

(Find both zeros)

Anwer 1; 0

Answer 2; 5