Talk It Like I Walk It (Vocabulary)
Walk the Line
(Linear Equations)
(Linear Equations)
Fight the System (of Equations)
Kendall Jenner
(Modeling)
(Modeling)
FUNctions
are Fun!
are Fun!
100
The ratio comparing the change in output over the change in input.
slope (or gradient)
100
Write the equation of the line.
y=-4
100
Number of solutions to the system of equations
y=-2/3x+5
and
y=-2/3x-5
.
None.
The lines are parallel and have different y-intercepts, so they never cross. No solution.
100
Interpret the slope in the following graph.
For every 200 miles you drive, a car uses 8 gallons of gas (or...for every 1 mile you drive, a car uses 0.04 gallons of gas).
100
Write the linear equation in function notation.
12-4x=y
f(x)=-4x+12
200
The output when the input is zero.
y-intercept
200
Convert to Slope-Intercept form.
4y-3x+24=0
y=3/4x+6
200
Solution to the system of equations 3x+5y=8 and 4x+3y=7 if
(1,y)
.
(1,1)
200
The height of a plant (in meters) based on the amount of rainfall it receives (in cm) can be modeled by the linear equation
h(r)=0.005r+1.5
Explain what the slope is communicating in the context of the problem.
For every centimeter of rain the plan receives, the plant grows 0.005 meters (or 0.5 cm).
200
Find the value of
g(-3)
for the linear function
g(w)=2w-17
(-3,-23)
300
An expression in math that has no meaning. For example, the slope of a vertical line.
undefined
300
Write the Slope-Intercept form equation of a line through the points (-4, 2) and (8, 8).
y=1/2x+4
300
Find the solution to the system.
5x+3y+19=0 and
3y+8x=-25
(-2,-3)
300
There are 2 delivery companies. Dana’s Delivery charges 100 baisa per km and charges a flat fee of 15 rials. Verner’s Vehicles charges 200 baisa per km and charges a flat fee of 8 rials. For what number of kilometers would both companies charge the same amount.
A delivery of 70 km would cost 22 rails for both companies.
300
Value that causes
b(c)=44
for the function
7-3c=b(c)
c=-17
(-17,44)
400
Finding a line of best fit and an equation to model a data set.
linear regression
400
Write the STANDARD form equation of a line through the points (4, -7) and (-3, 5).
12x+7y=-1
400
Find the solution to the system.
y=0.5x+2
and
x-2y=-4
Infinite Solutions
(same line...same slope & same y-intercept)
400
Cyrus wants to invest in the stock of two companies, a technology company and a drug company. After some Google searching, Cyrus finds out that technology stock cost $25 per share and drug stock costs $15 per share. Cyrus intends to invest $3000.
How much of each type of stock can he purchase?
125 drug stocks
45 technology stocks
400
Let
h(x)=4x-3
. If h(a)=9 and h(b)=5, find the value of h(a+b).
a=3
and
b=2
so
h(a+b)=17