Finals Jeopardy board 1

Box and diamond

100

x²-5x-6

(x-6) (x+1)

200

2x²-8x+6

2(x-3) (x-1)

300

x²+16x+63

(x+7) (x+9)

400

4x²+34x+66

(2x+6) (2x+11)

500

18x² + 69x +21

(2x+7) (9x+3)

I can give the equation of the line given two data points

100

(1,2) (2,4)

y=4x

200

(6,2) (4,3)

y=4x - 22

300

(6,12) (3,4)

y=2.67x - 4.02

400

(7,3) (12,9)

y=1.2x - 5.4

500

(17,20.4) (19,29.62)

y=4.61x - 57.97

sequences identification and equation

100

6,9,12,15,18

f(n)=3n+3

artimetic

200

5,20,80,320

f(n)= 5 * 4^n-1

Geometric

300

4,-3,-10,-17

f(n)=-7n + 11

arithmetic

400

9,72,648,5832

f(n)=9 * 8^n-1

Geometric

500

-3,18,-188,648

f(n)=-3*-6^n-1

Geometric

Simplifying equations with exponents

100

a³ b⁸ a⁴ y⁵

a⁷ * b¹³

200

(a⁴ b⁶)⁹

a³⁶ b⁵⁴

300

(3²³ x^-25 y¹⁵)⁰

1

400

(a³¹ b⁴ c^-2)³

a³¹ b⁷ C¹

500

(a^-15 b⁷ c⁵)^-6

b¹/ a¹¹ c^-1

Solving systems of equations using equal values, substitution, or elimination

100

x=6y+3

8y+4x=24

(5.25,0.37)

200

y=2x+4

y=x+2

(-2,0)

300

-x-4y=4

8x+4y=24

(4,-2)

400

y=x-16

y=-x+14

(15,-1)

500

y=2x+2

4x+2y=38

(4.25,10.5)