Algebra 2 Jeopardy

Finding the nth root

100

Find the nth root 

∛216x¹²

6x⁴

200

Find the nth root 

∛-64x¹²y⁶

4ix⁴y²

300

Find the nth root 

∜x⁹

x²∜x

400

Find the nth root

∜16x¹²

2|x|³

500

Find the nth root 

√16x³y⁴

4xy√x

Factoring

100

Solve using the difference of squares.

7m⁷n-28mn³

7mn(m³+2n)(m³-2n)

200

Use sum of cubes 

x³+27

(x+3)(x²-3x+9)

300

Solve the trinomial. 

n⁴+2n²-24

(n+2)(n-2)(n²+6

400

Solve by using four terms

(x³-x²)+(9x-9)

(x-1) (x²+9)

500

Solve by four terms

(k³+5k²)-(k-5)

(k+1) (k-1) (k+5)

Exponential Equations

100

Find x

2^x+1=2⁹

X=8

200

Find K 

3^k•3^k+2=3^5k-1

K=1

300

Find the common base then find x

6^2x-10=36

Common base= 6

X=6

400

Find common base then find m

32=22m-9 

common base= 2

m= 7

500

Find the common base and x 

7^4x+11=1/7

common base=7 

x=-3

Radical Equations

100

Solve the equation 

√x+5=12

X=49

200

Solve the equation 

10+√a+7=11

a=-6

300

Solve the equation 

3-⁴√m=0

m=81

400

Solve the equation 

√6w-5+10=3

No solution 

500

Solve the equation

⁴√8k+12-9=-11

No solution 

Polynomials

100

Solve using addition. 

(9n3-4n²+2n-10)+(-2n²+n+7)

9n³-6n²+3n-3

200

Solve using subtraction.

(5k³-2k²+2k)-(2k²+2k+17)

5k³-4k²-17

300

solve using multiplication.

(w-7)(w²+2w+1)

w³-5w²-13w-7

400

Solve using synthetic division.

(n²-n-29)÷(n-6)

n+5+1/n-6

500

Solve using long division.

(7x+7)÷(42x²-33)

6x-6+9/7x+u