Adv. Algebra Jeopardy (Dom)

Direct Variation

100

Is 3y = -5x a direct variation?

Yes: y = -5/3x

200

Is y = x/9 a direct variation?

Yes: y = 1/9x

300

Is 7y = 14x + 7 a direct variation?

No: y = 2x + 1 (This is because there is a b)

400

Is 5/3y = 9/5x + 2 a direct variation?

No: y = 27/25x + 6/5

500

Suppose y varies directly with x, y = 9 when x = -15, and what is y when x = 21?

y = -12 3/5 when x = 21

Slope Intercept to Standard Form

100

y = x + 1

-x + y = 1

200

3y = 5x - 8

-5x + 3y = -8

300

2y = 1/2x + 4

-x + 4y = 8

400

1/2y = 1/4x - 1/3

-x + 2y = -1 1/3

500

4/5y = 7/9x + 5/6

-7x + 7 1/5y = 7 1/2

Standard Form to Slope Intercept

100

x + y = 4

y = -x + 4

200

-5x + 2y = 8

2y = 5x +8

300

3x + 1/2y = 3

y = -6x + 6

400

-x - 1/4y = 7/9

y = -4x - 3 1/9

500

7x - 6/4y = 41

y = 4 2/3x - 27 1/3

Parallel Lines

100

Find the line parallel to y = x - 2, that passes through the point (2 , 4)

y = x + 2

200

Find the line parallel to y = 2x + 5, that passes through the point (3 , 6)

y = 2x

300

Find the line parallel to y = 1/3x - 1, that passes through the point (4 , 5)

y = 1/3x + 3 2/3

400

Find the line parallel to y = 3/2x + 5/6, that passes through the point (1 , 3)

y = 3/2x + 1 1/2

500

Find the line parallel to y = 4/5x + 1/2, that passes through the point (3/8 , 8)

y = 4/5x + 7 7/10

Perpendicular Lines

100

Find the line perpendicular to y = x - 2, that passes through the point (-1 , 2)

y = -x + 1

200

Find the line perpendicular to y = 2x + 5, that passes through the point (6 , 3)

y = -1/2 + 6

300

Find the line perpendicular to y = 1/3x - 1, that passes through the point (5 , 6)

y = -3x + 21

400

Find the line perpendicular to y = -5/2x - 2, that passes through the point (-1 , -2)

y = 2/5x + 2 2/5

500

Find the line perpendicular to y = 2/3x - 3/5, that passes through the point ( , -2)

y = -3/2x + 2 5/8