The Mu Alpha Theta Game.

Algebra

100

5x-3+2x+9

7x+6

200

3(x-4)=18

x=10

300

Find the slope of the line through points (2,5) and (6,17)

Slope = 3

400

Factor completely: 2x²-11x+15

(2x-5)(x-3)

500

Solve the system: 

{2x+y=9

{3x-y=4

x=13/5

y=17/5

Geometry

100

What is the area of a triangle with base 10 and height 6?

30

200

A regular pentagon has side length 7. What is its perimeter?

35

300

A circle area has 49π.

Find the circumference.

14π

400

A regular hexagon has side length 6

Find its area.

54√3

500

A right triangle as area 30 and one leg is 10.

Find the other leg.

6

Stats

100

Find the median: 30,3,21,13,12,5,9

12

200

A dataset is multiplied by 4.

How does the mean change?

It is multiplied by 4

300

You roll a dice 60 times and get 11 sixes.

What is the experimental probability of rolling a six?

11/60

400

Given: mean=80, standard deviation=6, x=92.

Find the z-score.

2

500

The interquartile range(IQR) of a dataset is 12.

If you multiply every value by -3, what is the new IQR?

36

Probability

100

Roll a dice. Probability of rolling a number less than 4.

3/6=1/2

200

A bag has 5 red, 3 blue, 2 green.

Probability of green?

1/5

300

Two dices are rolled.

Probability of getting a sum of 9

4/36=1/9

400

You flip 3 fair coins.

Probability of at least two heads.

1/2

500

A 3-letter code uses A-Z with no repeats. 

Probability a random codę starts with a vowel.

Favorable=5 choices

Total= 26

Probability=5/26

Advanced Math

100

Evaluate: cos(π/3)

1/2

200

Simplify: log(100)+log(1000)

5

300

Find the derivative: f(x)=1/x

f(x)=-1/x²

400

Evaluate the limit: lim (√x-2/x-4)

x-->4

1/4

500

Solve: 2cos(x)-1=0 on [0,2π]

cos(x)=1/2

Solutions: x= π/3, 5π/3