Chapter 5 Math Jeopardy :D

Standard form

100

Solve find the intercepts:

x-2y=-2

x=-2 y=1

200

Solve this:
 3x+4y=24

x=8 y=6

300

What is the standard form equation 

ax+by=c

400

Change this into standard form:

3y=2x+12

2x-3y=-12

500

Change this into standard form:

12y=5x+7

5x-12y=-7

Parallel and Perpendicular

100

write the parallel of the slope, 3/5

3/5

200

is this line parallel or perpendicular?

2/3, -3/2

perpendicular 

300

What is the difference between parallel and perpendicular?

parallel lines have the same slope while perpendicular lines have opposite reciprocals of each other 

400

Find the slope of this line parallel to PQ and a line perpendicular to PQ

P(1,2), Q(3,4)

Parallel, m=1

perpendicular, m=-1

500

Is this parallel or perpendicular or neither?

2/7, 12/42

parallel 

Rate of Change

100

What does rate of change mean?

how one variable changes in relation to another variable, usually involves time

200

Is rate of change like slope?

Yes! They are very similar 

300

Sally is writing a fantasy novel. After two nights, she has written six pages of her novel. After three nights, she has written nine pages of her novel. Assuming that she writes the same number of pages every night, what is the rate of change?

Three pages per night 

400

Calculate the rate of change:

Time - Distance 

1           260

2          520

3          780

4          1040

260ft/1 min 

500

Calculate the rate of change:

Time(min)     distance (ft)

2           256

4           512

6           768

128ft/1 min

Direct Variation

100

if it goes through the origan, is it direct variation?

yes

200

determine weather this equation represents direct variation? 

-8y=2x

yes

300

What is direct variation?

represented by a function y=kx, doesn't have a add on. Starts at zero.

400

does this represent direct variation? If so find the constant of variation 

7y=2x 

yes, it is k=2/7

500

Is this direct variation?

x       y

2      -2.5

-7     8.75

5      -6.25

yes because the constant of variation is -1.25

y=-1.25x

Slope Intercept Form

100

What is slope intercept form?

y=mx+b

200

Find the slope and the y-intercept of the equation 

y=3x-5

m=3 b=-5

300

find the slope and the y-intercept of this equation 

y=-5

m=0 b=-5

400

write the equation of the line with the given slope (m) and y-intercept (b)

m=-5 b=-8

y=-5x-8

500

write an equation in slope-intercept form of the line that passes through the two points (remember, "got slope? Got y-int?)

(-1,3) and (-3,1)

y=x+4