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Two Variable Linear Systems
Two Variable Non-linear Systems
Three Variable Linear Systems
Parabolas
Ellipses
100

y = 2x + 8

y = 4x - 12

What is (10, 28)?
100

x2 + y = 13

y = 2x - 2

What are (3, 4) and (-5, -12)?
100

2x + 5y - z = 20

4x + 3z = 5

-3z = -9

What is (-1, 5, 3)?
100

Focus and directrix of 8y = x2

What is (0, 2) and y = -2?
100

Major vertices of 

(x + 8)^2/144+(y - 4)^2/81=1

What are (-20, 4) and (4, 4)?
200

3x - 6y = 42

y = 5x + 2

What is (-2, -8)?
200

x2 + 3y = 25

x2 + 2y = 21

What are (

+-sqrt13

, 4)?
200

2x + y +2z = 22

-3x + y - 4z = -49

x + 3y + 3z = 13

What is (7, -4, 6)?
200

Focus and directrix of -12(x + 6) = (y - 10)2

What is (-9, 10) and x = -3
200

Minor vertices of 

(x + 8)^2/144+(y - 4)^2/81=1

What are (-8, -5) and (-8, 13)?
300

x + 3y = 5

x + 5y = -15

What is (35, -10)?
300

x2 + y2 = 81

3x + 2y = 22

What are (4, 5) and (6.154, 1.769)?
300

x + y + z = -22

2x + 3y - 5z = 19

-x - 2y +z = 9

What is (-5, -7, -10)?
300

Vertex form of y = x2 + 8x + 10

What is y-6 = (x+4)2

300

Foci of 

(x + 8)^2/144+(y - 4)^2/81=1

What are (-8-

sqrt63

, 4) and (-8+

sqrt63

, 4)?
400

3x + 5y = 26

2x - 10y = 44


What is (12, -2)
400

y = 4(x - 2)2 + 8

y = -3x + 5

What is no solution?
400

3x + 4y - 2z = 19

-2x + 7y - 3z = 26

5x - 2y + 3z = -3

What is (1, 4, 0)?
400

Vertex form of x = 2y2 - 24y - 20

What is x + 92 = 2(y - 6)2?

400
Standard form of ellipse with major vertices at (-3, 7) and (-3, 15) and foci at (-3, 9) and (-3, 13)

What is 

(x + 3)^2/12 + (y - 11)^2/16 = 1

?

500

6x + 4y = -29

5x - 7y = -39

What is (-359/62, 89/62)?
500

y = .25x2 - 6

y = -4x2 + 4

What are (-1.534, -5.412) and (1.534, -5.412)
500

x - 2y + z = -32

-2x + 5y - 4z = 50

5x - 3y + 3z = -82

What is (-16, 

15 1/3, 14 2/3

)?
500
Vertex form of parabola with focus at (3, -10) and directrix at y = 8

What is -36(y + 1) = (x - 3)2

500

Standard form for

4x2 - 32x  + 9y2 + 36y  = -64

What is 

(x - 4)^2/9 + (y + 2)^2/4 = 1