math project

Quadratics

100

2x²+4x+6=0 solve

(x=3)(x=1)

200

3x²+6+2 solve

(x=14)(x=20)

300

7x²+5x+8 solve

(x=6)(x=11)

400

10x²+13+11 solve

(x=85.5)(x=72.5)

500

20x²+7x+8 solve

(x=-94.5)(x=80.5)

Comparing 3 types of equations

100

x²-3x=2 # of solutions

one solution 

200

4x²+2x+3 # of solutions

 two solutions

300

3x²+5x+1 # of solutions

no solutions

400

15x¹+10x-2 # of solutions

two solutions

500

30x²-10+5 # of solutions

two solutions 

graphing linear

100

p(x)=4x-2 mark first point on table

(0,-2)

200

p(x)=5x+10 mark first point on table

(-2,0)

300

g(x)=40x+60 mark first point on table

(-2,-20)

400

g(x)=30x-70 mark first point on table

(-2,-130)

500

g(x)=50x+90 mark first point on table

(-2,-10)

combining like terms

100

2x+2x=

4x

200

15x+20x=

35x

300

10x-5x=

5x

400

30x-11x+10y+5y=

19x+15y

500

50x+120x-42y+13y=

170x-55y

factoring

100

x²+7+10

(x+2)(x+5)

200

x²+5+6

(x+3)(x+2)

300

x²+8+16

(x+4)(x+4)

400

x²+6x+9

(x+3)(x+3)

500

5x³-20x²+30x

5x(x-3)(x-1)