factoring

factor by grouping

100

(r-8)(8r^2+1)

8r^3-64r^2+r-8

200

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

25v^3+5v^2+30v+6

300

(21k^2+15)(1k-4)

21k^3-84k^2+15k-60

400

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

49x^3-35x^2+56x-40

500

(35n^2-5)(3n+5)

105n^3+175n^2-75n-125

factor by substitution

100

6x-5y=15 x=y+3

x=0 y=-3

200

8x+5y=24 y=-4x

x=-2 y=8

300

-4x+3y=-2 y=x-1

x=-1 y=-2

400

10x-9y=24 y=x-2

x=6 y=-4

500

5x-7y=58 y=-x+2

x=-36 y=-34

factoring trinomials

100

2n^2+5n+2

(2n+1)(n+2)

200

5n^2+19n+12

(5n+4)(n+3)

300

9k^2+66k+21

(9k+3)(k+7)

400

5x^2-18x+9

(5x-3)(x-3)

500

4x^2-35x+49

(4x-7)(x-7)

factor by elimination

100

-4x-2y=-12 4x+8y=-24

x=6 y=-6

200

4x+8y=20 -4x+2y=-30

x=7 y=-1

300

x-y=11 2x+y=19

x=10 y=-1

400

-6x+5y=1 6x+4y=-10

x=-1 y=-1

500

2x+8y=6 -5x-20y=-15

infinite number of answers

*mystery box*

100

-4p+(-6p)

-10p

200

2n^2+3n-9

(2n-3) (n+3)

300

(x-2)^2

x^2-4x+4

400

7x+20=69

x=7

500

what is 9^3

729