S.O.S. Systems
Like Literally ...
Change is Good
Random Like Me
100
There are a certain number of cats,c, and dogs,d, at the pet store. If 7 of each animal are added then the ratio of cats to dogs will be 5 to 6. Write an equation to represent this ratio.
(c+7)/(d+7)=5/6
100
Solve the literal equation for a.
u=k/a
a=k/u
100
Find the slope that passes through the two points.
(1,7) and (2,-4)
(-4-7)/(2-1)=-11/1=-11
100
Write an expression for...
Twice a number increased by 5 is 20.
2x+5=20
200
A survey was taken at a school and results found the number of football players, f, is 8 less than 3 times the number of tennis players, t. Write an equation to model the results.
f=3t-8
200
Rearrange the equation for a in terms of b,c and g.
g=b-ca
a=(g-b)/(-c)
200
4/2=2
200
Write an expression for...
Seven less than half a number is 15.
1/2x-7=15
300
Stassi and Tara together have $60. Stassi,s, has nine more than twice Tara,t. Write a system of equations to model how much each girl has.
Solve the system for double the points!
s+t=60
s=2t+9
Stassi has $17 and Tara has $43.
300
Solve for L.
P=2(L+W)
L=2P-W
300
Given f(x) find the average rate of change on the interval
[2 , 4]
f(x)=x^2-4
(12-0)/(4-2)=6
300
When graphing a system of equations when will there be no solutions and why?
When they are parallel because they have the same slope and different y-intercepts, therefore never intersecting.
400
Tony has a $65 gift card to Tim Horton's. He wants to use the entire gift card and needs to get bagels and donuts to bring to school with him. Bagels cost $2 and donuts cost $1.25. He needs to get a total of exactly 40 bagels and donuts. How many of each kind will Tony have to get?
20 bagels and 20 donuts
400
Solve for b.
A=(a+b)/2
b=2A-a
400
Explain when the average rate of change is zero. Justify your answer.
The average rate of change is zero when there is a horizontal line, which indicates a slope of zero.
400
Which four things WERE NOT mentioned in our word problems yesterday?... (No peeking at your notes!)
Cats, Dogs, Muffins, Bagels, Cookies, Gallons of Ice Cream, PS4, Blue Triangles, Green Triangles, Dorito's, Lay's Chips, Cans of Iced Tea, Bottles of Water.
Bagels, Gallons of Ice Cream, Green Triangles, Cans of Iced Tea
500
Marco had 15 coins in quarters and nickels that total $2.15. Write a system of equations and then use it to determine the number of each coin Marco had.
7 Quarters and 8 Dimes
500
Solve for x.
xm=x+z
x=z/(m-1)
500
Calculate the average rate of change (with units!) from 0 to 3 seconds.
(40-4)/(3-0)=36/3=12 (ft)/(sec)
500
Which weighs more a pound of bricks or a pound of feathers?
Neither. They both weigh a pound.