Linear Equations
Find x
System of Equations
Factoring
100

Find the slope

y=2x

2

100

3x = 6

x = 2

100

x + y = 2

x - y = 2

x = 2

100

x+ 6x + 5

(x+3)(x+2)

200

Find the y intercept

y= 4x + 1/6

(0, 1/6)

200

2x + 5 = 15

x = 5

200

3x - y = 7

2x + y = 8

x = 3

200

36x2 + 6x + 6

6(6x2 + x + 1)

300

Solve for y 

3y + 6x = 18

y = -2x + 6

300

3(x + 2) - 5 = 4(x + 5)

x = -19

300

3x + 2y = 9

2x + 6y = 6

HINT: You have to multiply each equation by a number to eliminate x

y = 0

300

x- 2x - 80 = 0

(x - 10)(x+8)

400

Find the linear equation

(2,3) (-5,10)

y = -1x + 5

400

x/2 = 6

x = 12

400

x - 2y = 8

x = 5 - y

x = 6

400

7x2 + 12x - 27 = 0

(x + 3)(7x - 9)

500

Form a linear equation and solve based on the word problem

Tammy has to pay $25 for her gym membership upfront and $5 per month after that. How much has she paid after 6 months?

$55

500

x2 + 6x + 16

x = -3 +- i root 7

500

3x - y = 2

6x - 2y = -8

No Solution

500

Simply this factored problem

(x+1)2 - 8(x-1) + 16


x2 - 6x + 25