Intergrated Math Jeopardy Pt 1

Searching for Patterns

100

Jacob, a pro swimmer, has a trophy case that can hold up to 30 trophies. He adds 1 trophy to it every 2 months. Is this a finite or infinite sequence?

Finite sequence

200

There is 200-gallon aquarium. To clean the aquarium, the fish must be removed and the water must be drained. The water drains at a constant rate of 10 gallons per minute. What is the independent quantity and the dependent quantity?

Independent Quantity: rate of water drainage

Dependent Quantity: # of gallons in the aquarium

300

State the type of sequence and find the explicit formula: 3, 6, 12, 24, 48

3 x 2^n-1

400

Solve the equation: 8y + 13 = 29

y = 2

500

Complete the sequences: 

A: -4, -2, 0, 2, ___, ___, ___...

B: -2, -6, -18, -54, ___, ___, ___...

C: 2, 5, 10, 17, ___, ___, ___...

A: 4, 6, 8

B: -162, -486, -1458

C: 26, 37, 50

Linear Equations & Inequalities

100

Solve for x:

5 + x = 12.7

x = 7.7

200

Determine the value given the function: h(x)=-2x-5

h(3) and h(0)+5

h(3) = -11

h(0)+5= 0

300

Determine whether the table represents a linear function. 

x: -2, 1, 4, 7     y:5.5, 4.75, 4, 3.25

Yes, it's a linear function.

Function: y = -0.25x + 5

400

Emilio builds and sells homemade toys for $12 each. The festival he is attending charges $50 to set up his booth. How much money will he earn if he sells 35 toys?

$370

500

Solve the inequality:

5x + 2 > 3x - 10

x > -6

Systems of Linear Equations & Shapes on the Coordinate Plane

100

When will Marcus and Philip have the same amount of money after x amount of days

Marcus: 10x +25           Philip: 10x +40

TRICK QUESTION

They will never have the same amount

200

Would this inequality have a dashed line or a solid line? Would the solution be shaded above or below the line?

y < 2x - 4

Dashed line and shaded below

300

Josh makes $8 an hour bussing tables at Bob's Burgers (x) and $11 an hour tutoring math after school (y). Write an expression to represent the how much money Josh would make with the total amount being represent by z

Expression: 8x + 11y = z

400

Solve the system of linear equations      

(5x+2y=10

(3x+2y=6

(2,0)

500

Solve the system of linear equations      

(2x-2y=12

(-2x+4y=8

(10,4)

Growth & Decay

100

Transform f(x) into g(x) by translating f(x) down by 3 units and reflecting along the line x = 0.

f(x)= 2x + 3

g(x)= -2x 

200

Identify the constant ratio

x: 1, 2, 3

y: -3, -9, -27

3

300

Identify the constant ratio

x: 1, 2, 3

y: 180, 90, 45

1/2

400

Generate the first 5 terms in this sequence (INCLUDE TERM 1)

g_n=2 x 3^n-1

2, 6, 18, 54, 162

500

Represent g_n = 30 x 2^n-1 as a function in the form f(x) = a x b^x

f(n) = 15 x 2ⁿ

Describing Distrubutions

100

A _______________ displays the data distribution based on a five number summary.

Box and whiskers

200

Calcuate the mean:

20, 20, 22, 23, 23, 24, 24, 24, 42, 50

27.2

300

Calculate the median: 

1, 2, 2, 4, 8, 8, 8, 9, 9, 9, 10, 10, 10

8

400

Determine whether to use a histogram, box and whiskers plot, or a dot plot:

The migration ranges of the white deer and mule deer populations in Montana are recorded and compared.

Histogram

500

Calculate the IQR: 

1, 2, 2, 4, 8, 8, 8, 9, 9, 9, 10, 10, 10

6.5