Systems
Functions
Linear Functions
2 Step Equations
100
Solve with Elimination -
3x+2y=10
6x+4y=20
(1,1)
100
Yes, the function is y=x² - 2
100
What is the slope; (1,4)(7,-3)
The slope is -7/6
100
How many solutions; y=7x+4
Infinite Solutions
200
Solve with Elimination -
3x+4y=10
4x+3y=7
(2,1)
200
(1,-2) (12,9) (-4,-17)(7,25)(1,7)
No there is no function
200
What is the function based off this graph; 
y=x2-3
200
How many solutions; 12 + 2x – 8 = 7x + 5 – 5x
No solutions
300
Josh and Ben have soccer practice at different days. Josh has a practice every 6 days and Ben has a practice every 9 days. When is the soonest they will coincide and have a practice on the same day?
The soonest that Josh and Ben will have a practice on the same day is when the both 9 and 6 are factors of a number.
300
y=(x-4)²
300
On a farm, for each apple tree the farm gets 12 apples. The farm starts each planting season with 7 apples. What is the equation of the line?
y=12x+7
300
Find the error -
If x=5 and y=3
x2-3y=1
The error is that the equation should actually be x2-3y=16, not x2-3y=1. The error is made because instead of doing x(5) to the second power, you would get this answer by multiplying x(5) by 2, then subtracting 3y(9).
400
A bike trail is 50 miles long. Ellie gets a head start by 2 miles and is traveling at 6 miles an hour. Billy starts at the beginning of the bike trail but bikes at 7 miles an hour. At what mile will they meet up?
They will meet up at mile 14.
400
A farmer grows apple trees. He wants to figure out how long it will take for each tree to grow to 5 feet above the ground. Each tree grows at the exact same pattern. If each seed is planted exactly 1 foot underground, and it takes 4 months for the trees to reach 1 foot above the ground, what is the function of how fast the trees grow.
y=1/2x
400
Compare -
1 - y=3x-4
2 - y=2x-8
Slope for 1 is 3 and slope for 2 is 2.
The y intercept for 1 is -4 and for 2 is -8.
The 1st Linear function will increase at a greater rate, because the slop/rate of increase is greater than the 2nd Linear function. (Answers may vary)
400
Find the value -
(3x)2-5y
If x=4 and y=7
The value of (3x)2-5y, when x is 4 and y is 7 is 109.
500
Solve the System -
3x+2y=14
4x+6y=18
(10,-2)
500
(2, 36) (5, 225) (3, 54) (1, 9) (7, 441) (4, 144)
Not a function
500
Compare -
1 - 3=4x+y
2 - y=3x+5
Both are linear functions, but you have to adjust the 1st to get it in y=mx+b form
The slope/rate of change for the 1st is 4, and for the 2nd is 3.
The y intercept of the 1st is 3 and the 2nd is 5.(Answers may vary)
500
Find the value of -
2x2- 4y/x
When x = -3 and y = 6
The value of 2x2- 4y/x when x is -3 and y is 6 is 26.