Algebra Unit 5 Jeopardy Review

Solving For Slope

100

What is the equation to solve for slope? 

m=(y₂-y₁)/(x₂-x₁)

200

What is the slope in the equation: 

y-6=-(x+5)

m=-1

300

What is the slope between these two points? 

(-4,6) and (-2,22)

m=7

400

What is the slope between these two points? 

(3,3) and (6,9)

m=2

500

What is the slope between these two points? 

(9,-9) and (6,-7)

m=-2/3

Writing Equations in Point-Slope Form

100

What is the equation for point slope form? 

y-y₁=m(x-x₁)

200

Write the equation for the line in point-slope for that passes through (3,4) and has a slope of 3. 

y-3=3(x-4)

300

Write the equation for the line in point-slope for that passes through (-7,5) and has a slope of -2.

y-5=-2(x+7)

400

Write the equation for the line in point-slope for that passes through the points (3,3) and (6,9). 

y-3=2(x-3) 

y-9=2(x-6)

500

Write the equation for the line in point-slope for that passes through (-4,5) and (-2,4). 

y-5=-1/2(x+4)

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

Writing Equations in Slope-Int Form

100

Write the equation of slope-intercept form. 

y=mx+b

200

Write this equation in slope-int form:

y-3x=4

y=3x+4

300

Write this equation in slope-int form:

2y+5x=10

y=-5/2x+5

400

Write the equation in slope-int form of the line that passes through the point (6,5) and has a slope of 1. 

y=x-1

500

Write the equation in slope-int form of the line that passes through the points (-5,3) and (-4,5).

y=-2x-7

Writing Equations in Standard Form

100

What is the equation for Standard form? 

Ax+By=C

200

Write this equation in standard form

y=-2x+3

2x+y=3

300

Write this equation in standard form: 

y=3x-5

3x-y=5

400

Write this equation in standard form: 

y-3=1/2(x+8)

x-2y=-14

500

Double points!!!

Write the equation in standard form for the line that passes through (4,-6) and (1,-5)

x+3y=-14

Writing Parallel and Perpendicular Lines

100

What is the slope of a line that is parallel to y=3x+4? 

Slope is 3. 

200

What is the slope of the line that is perpendicular to 

y=3x+4

m=-1/3

300

What is the slope of the line that is perpendicular to

y=-1/2x-9

m=2

400

Determine if these two lines are parallel, perpendicular or neither. 

y=-3x+9

3x+y=3

Parallel because they both have a slope of -3

500

Determine if these two lines are parallel, perpendicular or neither. 

3x+3y=3

2y=2x+6

The lines are perpendicular because they have a slope of 1 and -1

Correlation and Causation

100

If both axis are increasing, what type of correlation is it? 

Positive correlation

200

If the x axis is increase and the y axis is decreasing, what kind of correlation does the data show?

Negative correlation 

300

There is a positive correlation between how much rain has fallen and how high the level of a lake is. Does this relationship show correlation or causation? 

Causation. The rain fall causes the level of the lake to rise. 

400

There is a negative correlation between how much food is eaten at thanksgiving and how many presents are given on your birthday. Does this relation show correlation or causation? 

correlation

500

There is a positive correlation between the temperature outside and the amount of ice cream sold by ice cream trucks. Does this relation show causation or correlation? 

Causation, hotter temperatures can cause people to eat more ice cream. 

Inverse Relations and Functions

100

What is the first step when writing inverse functions? 

Exchange f(x) with y

200

What is the inverse relation of the set: 

{(3,5),(-2,6),(4,-7)}

{(5,3),(6,-2),(-7,4)}

300

How do you say? 

f^-1(x)

"f inverse of x" or "inverse of f of x"

400

Write the inverse function of: 

f(x)=3x+9

f^-1(x)=x/3-3

500

Find the equation in slope-intercept form of the inverse of 

f(x)=(3x-6)/8

f^-1(x)=8/3x+2

f^-1(x)=(8x+6)/3