Quadratic Formula
One Variable Inequalities
Zero Product Property
Two Variable Inequalities
100

Solve 2x2-5x-3=0. 

x=3 or x=-1/2

100

 Solve and graph 4x-1>=7.

x>=2

100

Find the x-intercepts of y=x2+6x+8.

(x+4)(x+2)=0

x=-4 or x=-2

100

Graph the solution to inequality y>3x-2

Point at (0,-2) 

Line goes up 3 over 1

Dashed Line

Shaded above line.

200

Solve 3x2+5x+1=0.

x~-0.23 or -1.43

200

Solve and graph 3x-(x+2)>=0.

x>=1

200

Solve 2x+7x-15=0.

(2x-3)(x+5)=0

x=3/2 or x=-5

200

Graph y<=3x+1.

Point at (0,1). The line goes up 3 over 1.

Solid Line. Shading below the line. 

300

Solve 25x2-20x+4=0.

x=2/5

300

Solve and graph -x+6>x+2.

x<2

300

Solve 2=6x2-x.

0=6x2-x-2

0=(2x+1)(3x-2)

x=-1/2 or x=2/3

300

Graph y>=-2x+3.

Point at (0,3). The line goes down 2 over 1.

Solid line. Shaded above the line. 

400

Solve x2+4x+10=0.

No Solution.

400
Solve and graph 2(x-5)<=8.

x<=9

400

Solve 9x2-6x+1=0.

(3x-1)(3x-1)=0

x=1/3

400

Graph y<=x2-2x-8.

Parabola facing up. X-intercepts at (-2,0) and (4,0). Y-int at (0,-8).

Solid Line. Shading below parabola.

500

Solve (3x+1)(x+2)=1.

x~0.15 or x~-2.18

500

Solve and graph 3(5-x)>=7x-1.

x<=1.6

500

2+9x=5x2

5x2-9x-2=0

(5x+1)(x-2)=0

x=-1/5 or x=2

500

Graph y>=x2-3.

Parabola facing up. X-intercepts ~-1.5 and ~1.5. Y-intercept at -3.

Solid Line. Shading above parabola.

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