M317 Unit 1B Review

Factoring GCF, a=1, a>1

100

Factor. 

-24a^2b^2+36ab-60a

12a(-2ab^2+3b-5)

200

Factor. 

3n^2-8n+4

(3n-2)(n-2)

300

Factor. 

2k^2+22k+60

2(k+5)(k+6)

400

Factor. 

3x^2+11x-4

(3x-1)(x+4)

500

Factor. 

x^2-4x+24

Prime (Not factorable)

Difference of Squares, Difference & Sum of Cubes

100

Factor. 

x^2-25

(x-5)(x+5)

200

Factor. 

1-a^3

(1-a)(1+a+a^2)

300

Factor. 

9x^2-4y^2

(3x-2y)(3x+2y)

400

Factor. 

8x^3+27

(2x+3)(4x^2-6x+9)

500

Factor. 

2x^3-54

2(x-3)(x^2+3x+9)

Factoring by Grouping

100

Factor. 

2p^3+5p^2+6p+15

(p^2+3)(2p+5)

200

Factor. 

m^3-m^2+2m-2

(m^2+2)(m-1)

300

Factor. 

12n^3+4n^2+3n+1

(4n^2+1)(3n+1)

400

Factor. 

35xy-5x-56y+8

(5x-8)(7y-1)

500

Factor. 

40xy+30x-100y-75

5(2x-5)(4y+3)

Solving Quadratics Equations

100

Solve. 

15x^2-45x=0

x=0, x=3

200

Solve. 

x^2-3x-10=0

x=5, x=-2

300

Solve. 

x^2-4x+24=0

2+-2isqrt5

400

Solve. 

16x^2-1=0

+-1/4

500

Solve. Identify the REAL solution.

a^3+125=0

a=-5

Random

100

Whose face is on a dime?

Franklin D. Roosevelt

200

 Sleepy, Happy, Sneezy, Grumpy, Dopey, Doc. Who's missing?

Bashful

300

Which city hosted the first Olympics?

Athens, Greece

400

What year was the first iPhone released?

2007

500

Area 51 is located in which U.S. state?

Nevada