Complex Numbers (5.6)
Absolute Value Functions and Graphs (2.5)
Solving Systems Algebraically (3.1-3.2)
Theorems About Roots of Polynomial Equations (6.5-6.6)
Self-Improvement
100
√-1
What is i
100
f(x) = |x|
What is the Parent Graph
100
A set of 2 or more equations with the same variables.
What is a system of linear equations.
100
Q is a factor of the leading coefficient.
P is a factor of the constant

Divide all P values by all Q values.
p / q

What is the way to find all possible rational roots of a polynomial equation.
100
More silent and better at paying attention.
What is Ian's skill at focusing in class.
200
|a + bi| = √a2+b2
What is, the Absolute Value of Complex Numbers
200
The Graph's Vertex
What is (h, k)
200
A set of values that satisfy ALL equations.
What is a solution to a system of equations.
200
A rational root of 4x3 + 4x2 - 11x - 6, being < -1.
What is -2
200
The skill that Ian has with speaking up in class.
What is a higher level of confidence/bravery in asking questions when confused.
300
-1
What is (√-1)2
300
g(x) = m|x - h| + k
What is the location of the Vertex (h, k) in an absolute value function?
300
i) Isolate
ii) Substitute / Solve
iii) Substitute to original
iv) Identify solution
What is the substitution method. (of solving a system of equations)
300
The simplest way to handle a polynomial root theorem for when the problem reaches:
(x-(n + ni))(x -(n - ni))
What is: (n + ni) + (n - ni).
The ni's cancel leaving n + n, which finds the center value.
I.E: (x - (3 + 2i))(x - (3 - 2i)) = (x2 - 6x + 13)
300
The ability Ian has relating to time.
What is Ian's moderate improvement on getting work in on time.
400
(4 + 2i) + (3 - 4i)
What is 7 - 2i
400
(d = |90 - 50|) = (d = 40)
What is the value of d = |90 - 10t| if t = 5
400
{ 2x - y = -2
{ y = 3/2x + 3
What is the point (2, 6) a solution for.
400
The roots of 4x3 - 7x2 - 10x - 2
What is X = { -1/4, 1+-√3 }
400
This has improved quite a bit since Freshman year.
What is Ian's memory regarding homework projects and bringing papers along to school.
500
12 + 14i
What is f(z) = z2 - 2i iterated 3 times, when z = 0.
500
The graph of k(x) = -2|x + 3| + 4
(Graph Paper will be Provided)
What is the graph on the paper before me.
500
Solve Via Elimination:

{ 2x - 4y = 8
{ 2x + 2y = 11

What is the point (5, 1/2)
500
The full polynomial created from the roots 1 + √5 and -√11 when there are 2 more roots available.
What is x4 - 2x3 - 15x2 - 22x + 44
500
Ian's ability to not procrastinate during work days in class.
What is a pretty good improvement.
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