Study Sheet Algebra II
What are the normal distribution numbers?
What does σ mean?
68% (1σ), 95% (2σ), 99% (3σ)
Standard Deviation – the difference between
each number on the bell curve
How do I find numbers between each other on 2nd Vars, #2,
the normal curve using the calculator?
Enter: low number, high number, mean,
standard deviation
180
How do I change from radians to degree?
Multiply by 𝜋
What is (h,k)?
Where is “a” in a quadratic?
If it says solve or find the solution of an
equation, then what do I do?
Where is absolute value on the calculator?
What is the distance formula?
What is the slope formula?
What is the trig. Identity I should know?
What is csc x?
It is the max or min of the quadratic: h is x
and k is y.
“a” sits in front of x2.
Left side y1, right side y2, then calculate the
intersection
Math → NUM, then #1 enter
D=√(𝑥2 − 𝑥1 )2 + (𝑦2 − 𝑦1 )2
𝑦2 − 𝑦1
𝑥2 − 𝑥1
sin2x + cos2x = 1
1
sin 𝑥
What is sec x?
1
cos 𝑥
What is tan x?
sin 𝑥
cos 𝑥
If I see a question with an “i” in it, what do I
do?
If my calculator is not doing what I want it to
do, then what do I do?
What is the quadratic formula?
If I take the square root of both sides of an
equation, what must I remember?
What is the formula for compounded
continuously?
What should I remember about percents?
How do I get the inverse of a function?
Use the calculator. The i button is 2nd decimal
point.
Clear the memory.
−𝑏 ± √𝑏 2 − 4𝑎𝑐
2𝑎
Consider both the positive and negative
solutions (two answers).
𝐴 = 𝑃𝑒 𝑟𝑡
𝑥=
Change them to a decimal when you put them
in the formula.
Switch the x and the y in the equation, then
solve for y.
What is x raised to a fraction?
It becomes a root expression.
2
What is x raised to a negative number?
Log to exponential or exponential to log
What is the MADS log rule?
What is the rainbow log rule?
What is the amplitude of the sin or cos
function?
How do I find the period of a trig. Function?
I can’t see the graph.
Where are the holes of a rational function?
3
Example: 𝑥 3 = √𝑥 2
1
Example: x-2 = 𝑥 2 (Remember unhappy
exponents switch places.)
Ding or unding!
Example: 5x = 12, then log 5 12 = 𝑥
When you multiply you add, or when you
divide you subtract.
Example: log 5 + log 𝑥 = log 5𝑥
𝑥
Example:log 2 𝑥 − log 𝑥 9 = log 𝑥 9
From the front to the sky, or from the sky to
the front.
Example: 3logx = log x3
It sits in front of the trig. Function. (It’s always
positive.)
Example: y = -3cos (x-π), the amplitude is 3.
2𝜋
The period is found by 𝐵 . B kisses x in the
equation.
𝜋
2𝜋
Example: y = 4sin(2x+3 ), the period is 2 or π.
Zoom 0 or set the domain, then Zoom 0
If I knock the factor out top and bottom, then
there is a hole.
𝑥 2 −9
Where are the vertical asymptotes of a
rational function?
What is an extraneous solution?
Pythagorean Theorem for right triangles only:
Where is the graph not continuous?
What is a rational number?
What is an irrational number?
(𝑥+3)(𝑥−3)
Example: f(x) = 𝑥+3 =
=x-3. There
𝑥+3
is a hole at x = -3, because x + 3 =0 is a
problem.
Any junk left in the denominator creates a
vertical asymptote.
𝑥−4
𝑥−4
1
Example: f(x) =𝑥 2 −2𝑥−8 = (𝑥−4)(𝑥+2) = 𝑥+2
There is a vertical asymptote at x = -2, because
x+2=0 is a problem.
A solution that you get mathematically when
solving a problem, but it is not a solution to
the problem because it creates a false
statement.
a2 + b2 =c2, where c is the hypotenuse
The graph is not continuous where you have
holes and vertical asymptotes.
A number that can be written as a fraction. It
terminates or has a repeating decimal.
The number does not terminate or repeat.
What do I do if I have a negative under the
radical?
What does “Σ” mean?
Don’t forget to pull your “i” out.
Example: √−6 = 𝑖√6 or √−81 = 9𝑖
It means to sum up the numbers.
Example: ∑3𝑥=1 4 + 𝑥 =
(4+1)+(4+2)+(4+3)=5+6+7=18