Math Jeopardy :)

Statistics

100

Isaiah took a look at his past test grades. He wants to find the mean of his grades. What is the mean?

1, 20, 59, 65, 74, 77, 80, 82, 82, 99

The mean is 

64 (rounded from original 63.9)

200

Jeremy was asking a group of people how old they were. What is the median age from the people he asked.

13, 12, 77, 16, 10, 19, 17, 17, 17, 18, 22

The median age is

17

300

Find the mean, median, mode, and range 

5, 9, 1, 4, 15, 20, 6, 7, 4, 8

mean: 8 (originally 7.9)

median: 7 (originally 6.5)

mode: 4

range: 19

400

You're creating your own milkshake. There are 6 different types of fruits available, 2 different types of syrups, and 3 different toppings. If you are allowed one type of fruit, one type of syrup, and one topping, how many different smoothies could you make?

36 smoothies

500

A bag contains 40 red marbles, 21 green marbles, 32 yellow marbles and 15 purple marbles. You pick one marble from the bag at random. Find each theoretical probability:

P(green):

P(green or yellow):

P(not red):

P(green): 19.4%

P(green or yellow): 49.07%

P(not red): 63%

Real numbers

100

Distribute

a(t-j+z)

at - aj + az

200

Distribute

-12(x + 5z - 83 - 10.5)

-12x - 60z + 996 + 126

300

Evaluating algebraic expressions

6(a+3) + 2(b) - 7       for a=-3 and b=4

6(-3+3) + 2(4) - 7

6(0) + 8 - 7

1

400

Combining like terms 

6x² + 2y² + 1y² - 3x² 

(6x² - 3x²) + (2y² + 1y²)

3x² + 3y²

500

Solve

7x + 5 - 1x = -11 - 3x + 4

x = -12/9 or -1.3

Slope

100

Find the slope

(2, 8) (4, 9)

m = 1/2

200

Find slope

(4,4) (4,-7)

Undefined 

300

Write in slope form then identify slope and y-int

4x-3y=15

slope = 4/3

y-int = -5

400

Find the slope-intercept form of the equation of the line that has a slope of 3 and passes through (-1,4)

y = 3x+7

500

Find the equation that passes through (3,3) (2,-4)

y = 7x-18

Logarithmic equations

100

1) Write the equation in logarithmic form

                       12³ = 1728

2) Evaluate each logarithmic 

                     log₈

1) log₁₂1728 = 3 

2)

200

Wire the following as a single logarithm 

1. 4 log x + 6 log y =

1. logx⁴ + logy⁶ = logx⁴ (y⁶)

300

Write the following as a single logarithm

1. log z + log x + log y =

logz(x)(y)

400

Use the change of base formula to solve 

log₄12

log12 / log4 = 1.79

500

solve this equation

log(4x - 2) = 4

10² = 4x - 2

100 = 4x - 2 

102 = 4x

x = 25.5

Substitution/Elimination

100

6x - 5y = 15

x = y + 3

y = -3

x = 0

200

Elimination

2x + 3y = 20

-2x + y = 4

y = 12

x = -8

300

Elimination 

2y + 7x = -5

5y - 7x = 12

y = 1

x = -1

400

Any method

y = 2x + 1

y = 4x - 1

x = 1

y = 3

500

y = 3x + 2

2x + 2y = 28

x = 3

y = 11