Algebra 2 Review Jeopardy!

Factor

100

Factor (x⁹+8)

(x³ + 2)(x⁶ - 2x³ + 4)

200

Factor (27x³ – 64)

(3x – 4)(9x² + 12x + 16)

300

Factor (4x¹⁶ − 49)

(2x⁸−7)(2x⁸+7)

400

Factor (2x² − 16x + 24)

2(x−6)(x−2)

500

Factor (x² + 13x + 36)

(x+9)(x+4)

More Factors

100

What are the factors of x²+5x-50?

x²+5x-50

=(x - 5)(x + 10)

200

What are the factors of 3x²-21x+18?

3x²-21x+18

=3(x² - 7x + 6) 

=3(x - 6)(x - 1)

300

What are the factors of 6x²+11x−35?

6x²+11x−35

=(3x-5)(2x+7)

400

What are the factors of x²−64?

x²−64

=(x+8)(x-8)

500

What are the factors of 16x³⁶−25?

16x³⁶−25

=(4x¹⁸ + 5)(4x¹⁸ – 5)

Solve for X

100

Solve for x: 

x+2=10

x = 8

200

Solve for x:

3x - 2 = 10

x = 4

300

Solve for x: 

2x + 3 = x - 6

x = -9

400

Solve for x:

4x³ + 5 = 37

x =  2

500

Solve for x:

2(x + 6)² = 200

x = 4 and -16     

Functions

100

Let f(x)= 3x²+5x–1 and g(x)= 7x+4. 

Find f(x) + g(x):

3x²+5x-1+7x+4

=3x²+5x+7x-1+4

=3x²+12x+3

200

Let f(x)=3x²+5x–1 and g(x)=4x²−7x+4

Find f(x) – g(x):

(3x²+5x-1)-(4x²-7x+4)

=3x²-4x²+5x+7x-1-4

= -x² + 12x – 5

300

Let f(x) = 3x−2 and g(x) = 5x + 1.  

Find f(x) ∙ g(x):

(3x-2)(5x+1)

=15x² + 3x - 10x - 2

 =15x² – 7x – 2

400

Let f(x)= 3x−2 and g(x)= 5x + 1.  

Find g(f(x))

5(3x-2) + 1 

=15x – 10 + 1

=15x - 9

500

Let f(x)= x²+2x−4 and g(x)= 3x+1.

Find f ◦ g.

(3x+1)²+2(3x+1)-4

=(3x+1)(3x+1)+2(3x+1)-4

=9x²+3x+3x+1+6x+2-4

=9x² + 12x - 1