algebra final project

Solving Systems by Elimination

100

-4x-2y=-12

4x+8y=-24

(6,-6)

200

-6x+5y=1
6x+4y=-10

(-1,-1)

300

5x+4y=-30

3x-9y=-18

(-6,0)

400

3+2x-y=0

-3-7y=10x

(-1,1)

500

2x+8y=6

-5x-20y=-15

infinite solutions

Solving Systems by Substitution

100

y = 6x − 11

−2x − 3y = −7

(2,1)

200

2x − 3y = −1

y = x − 1

(4,3)

300

y = −3x + 5

5x − 4y = −3

(1,2)

400

−3x − 4y = 2

3x + 3y = −3

(-2,1)

500

−2x − y = −9

5x − 2y = 18

(4,1)

Slope

100

3x-2y=-16

y=3/2x+8

200

13x-11y=-12

y=13/11x+12/11

300

x-3y=6

y=1/3x-2

400

6x+5y=-15

y=-6/5x-3

500

11x-8y=-48

y=11/8x+6

Standard Form

100

y=3x+1

3x-y=-1 OR -3x+y=1

200

y=4x-7

-4x+y=-7 OR 4x-y=7

300

y=-3/4x-4

3x+4y=-16 OR -3x-4y=16

400

y=-2/5x+1/10

4x+10y=1 OR -4x-10y=-1

500

y=-3x

3x+y=0

Multiplying Polynomials

100

(8x³y²)(-3x²y³)

-24x⁵y⁵

200

(4x-3)(3x-5)

12x²-29x+15

300

(x+6)(x+2)

x²+8x+12

400

(x-2)(x²-x+3)

x³-3x²+5x-6

500

(2x-5)(5x²+4x+7)

10x³-17x²-6x-35