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Terms in this set (36)
FOIL
First Outter Inner Last
Used when multiplying binomials
Outlier
Values that are far away from the rest of the data (in statistics)
Axis of Symmetry
-b/2a
Used for quadratic equations when in the form ax(squared) + bx + c =0
In interval notation, what does the following mean?
(1, 5)
This means that 1 and 5 are not included in the set discussed.
1<x<5
Order of Operations
PEMDAS
Parentheses, Exponents, Multiplication or Division (from left to right), Addition or Subtraction (from left to right)
Which property is expressed?
a+b = b+a
Commutative Property of Addition
Median
The middle number in a set when the elements are listed from least to greatest
conjugates
two binomials that are exactly the same except for the middle sign
(x+2)(x-2)
Mean
Average. Adding up all numbers and dividing by the total number of elements in the set.
Mode
The most occurring number in a set
Equation of a line
y = mx + b
(x,y) coordinate points
m = slope
b = y intercept
slope
change in y over change in x
domain
x values
input values
independent variable
range
y values
output values
dependent variable
function
a relation where every x is paired with only one y
Passes the vertical line test
relation
a set of ordered pairs
one to one function
a set of ordered pairs
inverse of a function
switch the x and y and rearrange the equation so that it is in y = form
Reflects over the y = x line
standard form of a quadratic
ax(squared) + bx + c = 0
4 methods of solving a quadratic
1. factoring 2. quadratic formula
3. completing the square 4. graphing
discriminant
b(squared) - 4ac
used to determine the nature of the roots
If the discriminant is:
0 : the roots will be real, rational and equal
negative: the roots will be imaginary
positive perfect square: real, rational, unequal
positive non perfect square: real irrational and unequal
Which property is expressed?
(a+b) + c = a +(b+c)
Associative property of addition
Converting from degrees to radians
multiply by pi/180
Converting from radians to degrees
multiply by 180/pi
roots of an equation
the x values when y = 0
the location(s) where the graph intersects the x-axis
the solutions to the equation
also known as the x-intercepts or the zeros
product of the roots
c/a
sum of the roots
-b/a
product rule
log a + log b = log (ab)
quotient rule
log a - log b = log (a/b)
extraneous roots
solutions that do not satisfy an equation when plugged back in
correlation coefficient
the r value on the calculator when evaluating a regression model
(must have diagnostics on)
must be between -1 and 1 inclusive
the closer it is to either -1 or 1 the stronger the correlation
the closer it is to 0 the weaker the correlation
period
2pi/B
permutation
an arrangement in which order matters
combination
an arrangement in which order does not matter
qualitative
describes the data
uses adjectives and no numbers
quantitative
discusses an amount
numbers are involved
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