Quadratic Equations I
Quadratic Equations II
Inequalities
Functions I
Functions II
100
How many methods are there for solving quadratic equations?
Five
100
What is the Y-Intercept?
y=x2+8x-3
The Y-Intercept is -3
100
Solve for x.
x - 5 > - 11
x > -6
100
What visual test can be used to determine if a graph is a function?
Vertical Line Test
100
What is Domain?
The domain is all of the values of X in an equation or graph.
200
Identify the form:
y=ax2+bx+c
Standard Form
200
What are the roots?
(x-4)(3x+9)=0
x=4 x=-3
200
Solve for x.
2x + 1 ≤ x + 3
x ≤ 2
200
Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
No, because the input (x) of 2 has two different outputs (y)
200
What is Range?
The range is all of the values of Y in an equation or graph
300
What method would you use to form a visual representation of the problem?
Graphing
300
Put this into factored form:
y=x2+8x+16
(x+4)(x+4) OR (x+4)2
300
Solve for x.
-5x > 50
x < -10
300
Does this represent a function?
YES because no input values repeat.
300
Function or not a function?
YES, function! There is only one arrow for each input.
400
What method can you use to easily find the X-Intercepts or Roots?
Factoring (factored form)
400
Solve for x using the square root method.
3x2 + 7 = 55
x=4 or -4
400
Solve and Graph
8 ≤ 4d ≤ 32
2 ≤ d ≤ 8
400
Do the following graphs represent a function?
YES!
400
Function or not a function?
NO, not a function! One input has two arrows.
500
Name the different methods of solving quadratic equations.
Quadratic formula, Factoring, Graphing, Completing the square & taking square root
500
Find the vertex of:
y=(x-8)(x+2)
(3,-25)
500
Solve and Graph
-12 ≤ 3x + 6 ≤ -6
-6 ≤ x ≤ -4
500
Do the following graphs represent a function?
NO! They do not pass the vertical line test.
* In the 2nd graph, there is a repeated value when
x=-1
500
A plant started at 12 inches tall. After 2 months it was 36 inches tall.
Describe the rate of change.
Every month it grows 12 inches taller.