FACTORING

Factoring Trinomials

100

Factor x²+8x+12

(x+6)(x+2)

200

Factor m²-11m+18

(m-9)(m-2)

300

Factor 5n²+26n+5

(5n+1)(n+5)

400

Factor 3x²+7x+4

(3x+4)(x+1)

500

Factor 6x²+x-2

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

Factor Completely

100

9x²-1

(3x-1)(3x+1)

200

x²+16x+64

(x+8)²

300

x¹⁰-z⁸

(x⁵-z⁴)(x⁵+ z⁴)

400

Factor 4m³+10m²-36m

2m(m-2)(2m+9)

500

Factor 30t³+50t²-20t

5t(3t - 1)(2t + 4)

Factor by GCF/Difference of Squares

100

Factor by GCF 14n²+10n

2n(7n+5)

200

Factor: x²-81

(x+9)(x-9)

300

Factor: 16x²-64

(4x-8)(4x-8)

or

16(x+2)(x-2)

400

Factor by GCF 8-4a²

4(2-a²)

500

Factor by GCF 18x³-6x

6x(3x²-1)

Binomials

100

2x - 4

2(x - 2)

200

5x + 30

5(x + 6)

300

x²-16x

x(x-16)

400

4x² -25

(2x - 5)(2x + 5)

500

3x² -12

3(x + 2)(x - 2)

Misc Review

100

Solve for x:

3x-7=11

x=6

200

Solve

2x+8=5x-7

x=5

300

Solve the system of equations by using substitution. 3y+2x=32, x=7

y=6 

(7,6)

400

What is the slope and y-intercept of the following line? y=5x-2

Slope = 5

y-intercept = -2 or (0,-2)

500

Solve the system of equations by using elimination. 2x + y = 9, 3x – y = 16

x=5, y=-1