Factoring

Multiplying Binomials

100

(x+3) (x+6)

x² + 9x +18

200

( x-7)( x+2)

x² -5x -14

300

(x - 13) (x + 11)

x² -2x -143

400

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

6x² +11x -10

500

(7x - 3) (7x - 3)

49x² -42x +9

Miscellaneous

100

If 0.3x = 7,

then 3.33x = ?

77.7

200

If 3a +12 =27,

then 2a + 4 = ?

14

300

If 3x - 12 = 2x - 10,

then x + 3 =?

5

400

If x = -0.4,

then x³ = ?

- 0.064

500

If a car is traveling at a rate of 30mph,

how far will it travel in 2.5 minutes? 

1.25 miles

Factoring Trinomials

100

x² -7x -18

( x - 9)(x + 2)

200

y² + y - 42

(y + 7)(y - 6)

300

m² - 6m - 91

(m-13)(m+7)

400

4x² + 17x + 15

(4x + 5) ( x+ 3)

500

8w² -2w -15

(2w -3) (4w +5)

Solving Quadratics

100

x² - 8x +12 = 0

{2, 6}

200

2a² +10a = 0

{-5, 0 }

300

2x² -3x -20 = 0

{-5/2, 4}

400

4x² -23x -35 = 0

{-5/4, 7}

500

3x³ +11x² -20x = 0

{-5, 0, 4/3)

Factoring by Grouping

100

xm+xb+tm+bt

(m + b)(x + t)

200

a²+5a +xa+5x

(a+5)(a+x)

300

g²+3g -ag -3a

(g + 3)(g - a)

400

 p²y + p² -25y -25

(y+1)(p -5)(p +5)

500

y⁴ -81y² -4y² +324

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