Linear Equations
Foil
Questions
Factor trinomial
Find the mean
100

x+7=15

x=8

100
(x+3)(x+5)

x2+8x+15

100

Whats the vertex?

y=(x-1)2+4

(1,4)

100

x2+8x+15

(x+3)(x+5)

100

Find the mean 

(4, 8, 6, 12)

Mean: 7.5

200

3x-4=11

x=5

200

(x+2)(x+4)

x2+6x+8

200

Whats the vertex?

y=(x+3)2+5

(-3,5)

200

x2-9x+20

(x-4)(x-5

200

Find the mean

(5, 11, 14)

Mean: 10

300

2(x+4)=14

x=3

300

(x-6)(x-2)

x2-8x+12

300

Whats the vertex?

y=(x+2)2-5

(-2,-5)

300

x2+8x+12

(x+2)(x+6)

300

Find the mean

(10, 15, 20, 25, 30)

Mean: 20

400

3(x+2)-5=10

x=3

400

(x-3)(x+5)

x2+2x-15

400

Minimum or maximum

y=-2(x-3)2+8

Maximum

400

x2+2x-24

(x+6)(x-4)

400

Find the mean 

(3, 7, 8, 14)

Mean: 8

500

4(x+2)-3=2x+13

x=4

500

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

6x2+7x-3

500

Minimum or Maximum

y=3(x+4)2+2

Minimum

500

x2+12x+36

(x+6)2​​​​
500

Find the mean 

(1, 2, 4, 5, 7, 11)

Mean: 5