Math Jeopardy

Algebra

100

7x-4=3x+20

x=6

200

Factor: x²−11x+24

(x-3)(x-8)

300

Solve for x: 2/x = 5/(x-3)

x=-6

400

What is the vertex of this quadratic?

2x²-4x+1

(1,-1)

Logarithms

100

Value of log(1000)

3

200

Simplify: ln(e⁷)

7

300

Find x: log₃(x)=4

x=81

400

What is expanded form of log(a²b⁵)?

2loga+5logb

Probablity

100

Probability of flipping two heads in two coin flips

1/4

200

A bag has 3 red, 2 blue, and 5 green marbles. What is the probability of drawing green.

1/2

300

Rolling two fair six‑sided dice, what is the probability the sum is 9.

1/9

400

A card is drawn from a standard deck. This is the probability of drawing a face card. (There are 12 head cards in a deck and 52 total)

12/52 = 3/13

Sequences

100

What is the 15th term of the arithmetic sequence 2,7,12,17,….

72

200

What is the explicit formula for the arithmetic sequence with a₁= 5 and d=4. 

a_n=5+4(n-1)

300

What is the 7th term of the geometric sequence with a₁=9 and r=1/3.

9(1/3)⁶=1/81

400

What is the sum of the first 10 terms of the geometric sequence 3,6,12,24,….

3(2¹⁰-1)=3069