Algebra 2 Review Jeopardy

Factoring

100

x²+5x+6

(x+2)(x+3)

200

x⁴−5x²+4

(x+2)(x−2)(x+1)(x−1)

300

x⁴+2x³-x-2

(x-1)(x²+x+1)(x+2)

400

x⁶-64

(x³-8)(x³+8)

500

x⁸-1

(x-1)(x+1)(x²+1)(x⁴+1)

System of Equations

100

x+y=5

x-y=1

(3,2)

200

y=2x+1

3x+y=10

(1,3)

300

2x+3y-z=7

x-y+2z=4

3x+2y+z=10

x=2, y=1, z=1

400

x²+y²=25

x-y=1

(4,3) and (-3,-4)

500

x+y=10

0.3x+0.8y=5

(6,4)

Complex Numbers

100

(3+2i)+(1-4i)

4-2i

200

(2+3i)(1-i)

5+i

300

Simplify i²³

i³=-i

400

(i+2)³

2+11i

500

(1+i/1-i)²

-1

Logarithms

100

log₁₀100

2

200

Solve for x : log₃(x-1)=2

x=10

300

Rewrite in exponential form: log₃81=4

3⁴=81

400

Solve for x: log₂(x)+log₂(x-2)=3

4

500

log₅(125x³)-log₅(5x)

2+2log₅(x)

Random

100

Determine whether the relation (1,2)(2,3) (3,4) (2,5) is a function. 

no

200

How many real solutions does x²+4=0 have?

None

300

What country/empire did Algebra originate from?

Ancient Egypt

400

Given f(x)=1/x+3, find f(f(x))

x+3/3x+10

500

(2x+3)/4=(x+7)/3

x=9.5