Unit 1-System of Equations
Solve by Substitution:
−4x+y=6
−5x−y=21
x = -3
y = -6
Decide if table a is a function. What is the overall rule for functions?
x|1 1 2 3 4
y|1 2 3 1 5
Not a function (x value repeats)
Overall rule: the x value cannot repeat, but the y value can.
Rewrite in Standard Form:
(x+2)(x+6)
x2+8x+12
Identify a, b, and c in the following equation:
-5x2+4x-6=0
a = -5
b = 4
c = -6
What do you have to do with Pokemon?
Catch 'em all!
Solve by Elimination:
−4x−2y=−12
4x+8y=−24
x = 6
y = -6
What is the domain of the following?
{ (2,6) (3,6) (4,8) (10,4) (12, 7) }
Domain: {2,3,4,10,12}
Rewrite in Factored Form:
x2+17x+72
(x+8)(x+9)
Solve for x:
8x2+14x-15=0
x = .75
x = -2.5
What is the largest planet in our solar system?
Jupiter
Solve using any method:
−3x−8y=20
−5x+y=19
x = -4
y = -1
{ (4,8) (5,10) (9,19) (20,75) (2,3) }
Range: {3,8,10,19,75}
Rewrite in Factored Form:
x2+2x-8
(x+4)(x-2)
The function h represents the height of an object t seconds after it is launched into the air. The function is defined by h(t)=-5t2+20t+18. Height is measured in meters.
Solve without graphing:
After how many seconds does the object reach a height of 33 meters when it is launched?
It take the object 1 second to reach 33 meters after it is launched.
What kind of person is Naruto?
A ninja
Solve:
−x−5y−5z=2
4x−5y+4z=19
x+5y−z=−20
x = -2
y = -3
z = 3
Calculate the rate of change between 1992 and 1994.
x - y
1990 - 90
1992 - 85
1994 - 82
1996 - 75
The rate of change is -1.5
Formula: f(b)-f(a)/b-a
Rewrite in Standard Form:
(x+6)(x-3)
x2+3x-18
h(t)=-5t2+20t+18.
When does the object reach its maximum height?
The object reaches its max at 2 seconds.
What school did Harry Potter attend?
Hogwarts
Solve:
x – 6y + 4z = -12
x + y – 4z = 12
2x + 2y + 5z = -15
x = 0
y = 0
z = -3
What is the inverse function of y=3x+5
f-1(x)=(x-5)/3
Rewrite in Factored Form:
16x2-64y4
(4x-8y2)(4x+8y2)
h(t)=-5t2+20t+18.
What is the maximum height the object reaches?
The object's max height is 38 meters.
What color is at the top of the rainbow?
Bonus: Name all seven colors in order!
Red, orange, yellow, green, indigo, violet