Greatest Common Factor & Distribution

GCF (Numbers)

100

Greatest Common Factor of 6 and 18

GCF: 6

200

The Greatest Common Factor of 8 and 24

GCF: 8

300

The Greatest Common Factor of 90 and 6

GCF: 6

400

The Greatest Common Factor of 80 and 16

GCF: 16

500

The Greatest Common Factor of 55 and 110

GCF: 55

Distribution

100

Distribute and simplify (if possible):

3(x-8)

3x-24

200

Distribute and simplify (if possible):

-4x(3x+2)

-12x^2-8x

300

Distribute and simplify (if possible):

2x^2(6x^2+5x+1)

12x^4+10x^3+2x^2

400

Distribute and simplify (if possible):

(2x+7)(5x-8)

10x^2+19x-56

500

Distribute and simplify (if possible):

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

2x^3-11x^2+11x-3

GCF (Numbers & Variables)

100

Find the GCF: 

 3  and  12x 

3

200

Find the GCF: 

4x^2, -20x

4 

300

Find the GCF:  2x and 

 9x 

x

(Constants are prime)

400

Find the GCF:  18x^4  and 

 27x^3 

9x^3

500

Find the GCF:  12xy ,  6x^2y^2 , and  24y 

6y

Factoring Binomials

100

Factor by GCF: 

14n+10

2(7n+5)

200

Factor by GCF: 

18x-6

6(3x-1)

300

Factor by GCF: 

8a-4a^2

4a(2-a)

400

Factor using the GCF    5x²-15x

15x^3+5x^2+40x

5x(3x^2+x+8)

500

Factor using the GCF:

15x(2x-1)+3(2x-1)

(2x-1)(15x+3)

Factoring Trinomials

100

Factor completely:

6x^2+12x+15

3(2x^2+4x+5)

200

Factor completely:

-18x^2-6x-54

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

300

Factor completely:

7x^3-14x+35

7x(x^2-2x+5)

400

Factor completely:

-16x^3-56x^2-8x

-8x(2x^2+7x+1)

500

6x^20-30x^17+48x^15

6x^15(x^5-5x^2+8)

Mystery Math

100

Solve for  x :

3x-1=5

x=2

200

Simplify (do not evaluate):

2^5\cdot2^9

2^14

300

Solve for  y :

3-\frac{y}{10}=15

y=-120

400

Simplify the radical completely:

5x\sqrt{28x^5

10x^3\sqrt{7x}

500

Solve the following for m:

\frac{28}{m}+1=8

m=4