mAtHeMaTiCs

F.O.I.L

100

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

  10x² -x-3

200

(3x-4)(x+2)

3x²+2x-8

300

(n-6)(4n-7)

4n²-31n+42

400

(10x+4)(2x+5)

20x²+58x+20

500

(14x-2)(3x+5)

42x²+64x-10

GCF

100

5x³+25x²+45x

GCF=5x 

5x(x²+5x+9)

200

4x⁵-24x²+8x

GCF=4x

4x(x⁴-6x²+2)

300

12x²+14x³+6x

GCF=2x

2x(6x+7x²+3)

400

18x⁴+12x²+24x

GCF=6x

6x(3x³+2x+4)

500

49x⁵+28x⁴+14x³

GCF=7x³

7x³(7x²+4x+2)

Distributive Property

100

(2x+4) (3x-7)

6x²-2x-28

200

(6x-4) (7x+3)

42x²-10x-12

300

(5x+4) (4x+9)

36x²+45x+36

400

(y-3) (y+8)

y²+5y-24

500

(c-10) (c-5)

c²-15c+50

Two-Step Equations

100

3n-4=11

n=5

200

-1=7+8x

x=-1

300

26=m/6+5

m=126

400

a/5-18=2

a=100

500

y-4/2=10

y=24

Inequalities

100

5>-18+m

m=23

200

-6>c-2

-4>c

300

0<-1/3+f

1/3<f

400

4.3>-0.4+s

s<4.7

500

-2.5>n-0.9

n<-1.6