Factoring and Systems

GCF

100

-18 + 15x

3(−6+5x)

200

35x²+63x⁴

7x²(5+9x²)

300

49y⁷z⁶−21x²y⁴z⁴

7y²z⁴(7y³z²−3x²)

400

21x⁷y⁷z⁴+31x⁴y⁴

x⁴y⁴(21x³y³z⁴+31)

500

6x²-24

6(x+4)(x-4)

DOPS

100

x²-9

(x+3)(x-3)

200

4x²-81y²

(2x+9y)(2x-9y)

300

4x²+9

NOT A DOPS

400

1-100z⁶

(1+10z³)(1-10z³)

500

16x⁴y⁴-81z⁸

(2xy+3z²)(2xy-3z²)(4x²y²⁺9z⁴)

Trinomials

100

x²+9x-10

(x-1)(x+10)

200

x²+13x+40

(x+5)(x+8)

300

3x²+10x+3

(3x+1)(x+3)

400

5x²+34x+24

(5x+4)(x+6)

500

5x²+32x+35

(5x+7)(x+5)

Factor by Grouping

100

x³−3x²−13x+39

(x²−13)(x−3)

200

2x³+5x²+2x+5

(x²+1)(2x+5)

300

x³+4x²+4x+16

(x²+4)(x+4)

400

x³+7x²+x+7

(x²+1)(x+7)

500

3x³+7x²−12x−28

(x+2)(x−2)(3x+7)

Solving Systems

100

Solve by substitution 

y=x+35

y=8x

(5,40)

200

Solve the system by substitution.

−y=x

9x−7y=−16

(-1, 1)

300

Solve by Elimination

−2x−6y=50

−2x+9y=−40

(−7,−6)

400

Solve the system of equations using elimination: 

−x+y=1

−6x+2y=−34.

(9,10)

500

Solve any way you want

8x+7y= −47

4y−1=x

(−5,−1)