SLOPE
what are the 3 slope formulas ?
(delta y/delta x) , (rise/run) , (y2-y1/x2-x1)
What is the form of an equation of a line ? what are the two values that you need to find ?
y=mx+b (or slope intercept form )
You need to find m and b ( slope and y-intercept )
3x+1 = 10
(solve)
x=3
Say i'm babysitting and i make $10 per hour. (Put that into equation form)
y=10x
3x+2=3x+2. How many solutions is this ?
Infinite (identical sides )
slope of a line with points ( 0,1 ) and ( 5, 6 )
m=1
What does the word "per" or "each" signify in word problems ?
it signifies slope
($5 per hour ) my slope is 5 in this case !
Volume=mass / density
v=m/d . Isolate M (M= ? )
M= DV (multiply bth sides by D)
I am trying to save. I want to save 30 dollars monthly and I'm currently starting at 50 . ( Put that into equation form )
y=30x+50
True/False x= 3 is a horizontal line
False
Equation of a line w/ points ( 3 , 10 ) and ( 5 , 30 )
y=10x-20
What is the perimeter formula ? (YOU NEED TO KNOW THIS )
P = 2L + 2W
simpilfy : -2(ac + 6 ) - (ca -3 )
-3ac - 9
Playstation charges me $10 a month for a subcription. It costs 5 dollars to just open the account. What does the point ( 2, 25 ) mean in this context ?
After 2 months, I would've paid $25 .
T/F:
ANY TWO POINTS on the same line would have the same slope as two other points on the same line .
True. the slope between any two points on the same line would have the same slope.
Lamar subscribes to an online gaming service that charges a fee of $5.00 and $0.25 per hour for time spent playing premium games. What is Tyra's cost, in dollars, for a month in which she spends x hours playing premium games? (AN EQUATION)
y=.25x+5
What strategy do you use for solving equations? what about solving expressions?
inverse operations
gemdas
y=20x+20. is (3, 60) a solution? WHY or WHY not ?
no. when you plug x=3, your result (Y) is 80
Elijah saves money each month to buy a new computer. The total amount he has saved, T, can be calculated by the equation T = 50 + 30m,where m is the number of months since he started saving. What does the number 50 represent in the equation?
The amount he started with.
Give an example of an equation that has no solution .
as long as the coefficients are the same, and there are different constants.
ex.2x+11=2x+9
y=mx+b ,which variable is the slope ? which is the y-intercept ?
m=slope
b=y-intercept
What is the value of x ? What strategy do you use when you see those words ?
Inverse operation
I practiced my basketball skills as many minutes on Monday as I did on Tuesday. I practiced my routine those two days for a total of 1 hr and 30 minutes For how many minutes did I practice on Monday ?
60 minutes
I makes cookies based on how much sugar she has. This can be modeled by an equation, where y represents the number of cookies 1 makes and x represents sugar as measured in cups. For every 2 cups of sugar, I make 4 cookies.
Part1: Make an equation
Part 2: What does ( 4,8 ) mean in this context ?
y=2x
After 4 cups or sugar, I make 8 cookies
A partially filled pool contains 60 gallons of water. A hose is turned on, and water flows into the pool at the rate of 8 gallons per minute. How many gallons of water will be in the pool after 7 minutes?
116 gallons