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Space

Plane

Point

Line

Exist in all directions indefinitely

Flat surface that extends indefinitely

Has no length, no width, no height but has a location

A set of points extending indefinitely in two directions, it…

Space

Exist in all directions indefinitely

Plane

Flat surface that extends indefinitely

Reciprocal

Multiply Fractions

Divide Fractions

Add Fractions

one of a pair of numbers whose product is 1: the reciprocal o…

Multiply straight across, simplify if needed.

change the division sign to multiply and flip the 2nd fraction

find common denominator then add together. Keep decimal lined…

Reciprocal

one of a pair of numbers whose product is 1: the reciprocal o…

Multiply Fractions

Multiply straight across, simplify if needed.

standard deviation

Implication

Conjunction

Disjunction

The mean of the means.... Find the mean of the squared means, th…

A -> B... In logic, an if/then statement.

A/\B... In logic: and

AVB... In logic: An or statement.

standard deviation

The mean of the means.... Find the mean of the squared means, th…

Implication

A -> B... In logic, an if/then statement.

When you are multiplying exponential n…

When you are dividing exponential numb…

Anything raised to the zero power is..…

Pythagorean Therom

Add the exponents

Subtract the exponents

1

A^2+B^2=C^2

When you are multiplying exponential n…

Add the exponents

When you are dividing exponential numb…

Subtract the exponents

What is the average Rate of Change for…

Which direction does f(x)=+c move in s…

What direction does f(x)-c move in sta…

Which direction does f(x+c) move

f(x2)-f(x1) / x2-x1

Up

Down

Left

What is the average Rate of Change for…

f(x2)-f(x1) / x2-x1

Which direction does f(x)=+c move in s…

Up

Real Number

Variable

Rational Number

Irrational Number

Any number on the number line

is letter used in equation to represent an unknown.

Any number that can be written as quotient or 2 integers wher…

As decimal it does not terminator or repeat

Real Number

Any number on the number line

Variable

is letter used in equation to represent an unknown.

Independent events

Intersection

Midpoint

Mutually exclusive events

A single event that does not affect another

Point or line common to lines or surfaces that cross

Exact middle point

A situation where the occurrence of one event is not influenc…

Independent events

A single event that does not affect another

Intersection

Point or line common to lines or surfaces that cross

Logic

argument

Fallacy

Appeal to popularity

study of the methods and principles of reasoning.

set of facts or assumptions, called premises, to support a co…

deceptive argument—an argument in which the conclusion is not…

Many people believe p is true; therefore...p is true.

Logic

study of the methods and principles of reasoning.

argument

set of facts or assumptions, called premises, to support a co…

Straw man

Appeal to popularity

Appeal to emotion

Appeal to ignorance

Based on a distortion of someones words or beliefs

The fact that large #s of people believe or act some way is u…

Attempt to evoke an emotional response as a tool of persuasion

Uses the lack of knowledge about the truth of a proposition t…

Straw man

Based on a distortion of someones words or beliefs

Appeal to popularity

The fact that large #s of people believe or act some way is u…

N factorial

Obtuse triangle

Outcome

Overlap

The factorial of a natural number n is the product of the pos…

A triangle which has an obtuse angle as one of its interior a…

The result of an experiment in probability theory

Similar triangles in which one triangle is on top of another…

N factorial

The factorial of a natural number n is the product of the pos…

Obtuse triangle

A triangle which has an obtuse angle as one of its interior a…

linear function

constant function

identity function

square function

f(x) = mx+b, m and b are real numbers

f(x) = b, b is a real number... even function

f(x) = x... odd function... anchor point is (0,0)... right 1 - up 1…

f(x) = x^2... even function... anchor point is (0,0)... left or righ…

linear function

f(x) = mx+b, m and b are real numbers

constant function

f(x) = b, b is a real number... even function

What is the first criterion of voting?

What is the second criterion of voting?

What is the third criterion of voting?

What is the fourth criterion of voting?

a majority of first place wins

head-to-head matchups with all

Still wins if some votes are changed in favor of winner

Still wins if another candidate drops out

What is the first criterion of voting?

a majority of first place wins

What is the second criterion of voting?

head-to-head matchups with all

Continuous graph

Discrete graph

Domain

Range

created by a connected line or curve

a graph made up of unconnected points

the set of "input" ... and... x-coordinates

the set of "output"... and... y-coordinates

Continuous graph

created by a connected line or curve

Discrete graph

a graph made up of unconnected points

relation

domain

range

the 5 ways to write a relation

any set of ordered pairs

x-values, independent variables, input

y-values, dependent variables, output

1.) set of ordered pairs: {(1,2), (3,4), (5,6)}... 2.) as a tabl…

relation

any set of ordered pairs

domain

x-values, independent variables, input

Relation

Function

Independent Variable

Dependent Variable

The way tables are related to each other; they can be one-to-…

1. A relationship from the domain to the range that assigns t…

A variable whose variation does not depend on that of another

Any changes in it depend on changes made to the independent v…

Relation

The way tables are related to each other; they can be one-to-…

Function

1. A relationship from the domain to the range that assigns t…

Exponential Growth

Compound Interest

Exponential Decay

Half-life

y=a(1+r)^t

A = P(1+r/n)^nt where P is original amount R is annual intere…

y=a(1 - r)^t, where a > 0, t > 1

A = P(0/5)^t where T is the # of __ in a given time period

Exponential Growth

y=a(1+r)^t

Compound Interest

A = P(1+r/n)^nt where P is original amount R is annual intere…

Constant Function

Linear (Identity) Function

Quadratic Function

Square Root Function

When "y" equals a constant number (no x-variable).

y = x

A number multiplied by itself.

A number that when multiplied two times equals the given numb…

Constant Function

When "y" equals a constant number (no x-variable).

Linear (Identity) Function

y = x

Identity function Doman and range

Identity function even or odd

Identity function increasing and decre…

Identity function boundness

Negative infinity to positive infinity for both

Odd

Increasing from negative infinity to positive infinity... Doesn'…

Unbounded

Identity function Doman and range

Negative infinity to positive infinity for both

Identity function even or odd

Odd

Statistics

Variable

Categorical Data

Quantitative Data

the science of collecting, describing, and interpreting data

a particular characteristic or trait that can take on differe…

data that belongs to a category

A variable that takes numerical values for which arithmetic m…

Statistics

the science of collecting, describing, and interpreting data

Variable

a particular characteristic or trait that can take on differe…

Polynomials

Linear equation

The Fundamental Theorem of Algebra

The Fundamental Theorem of Algebra say…

Made of terms added together, in which each term is a number…

A polynomial with degree 1... They can be written in point slop…

Every single-variable polynomial, other than constants, has a…

Zeros or polynomial roots

Polynomials

Made of terms added together, in which each term is a number…

Linear equation

A polynomial with degree 1... They can be written in point slop…

Linear Function

Polynomial Fuction

Power Function

Rational Function

This is a line. You know this.

non negative exponents raise constants to powers ... Ex. 2x^6+…

x^a where a is a constant... Ex. y=x^3

where f is a ratio of two polynomials ... Ex,. (2x/5x)

Linear Function

This is a line. You know this.

Polynomial Fuction

non negative exponents raise constants to powers ... Ex. 2x^6+…

Absolute Value

independent variable

Dependent variable

Domain

Anythings distance from zero on the number line

changes the dependent variable (cause)

what is being changed by the independent variable (effect)

containing number called inputs

Absolute Value

Anythings distance from zero on the number line

independent variable

changes the dependent variable (cause)

Intersection

Intersection of Sets

Inverse Function... [fog](x) = [gof](x) = x

Inversely Proportional

Points that are common to two or more sets in a geometric fig…

When two or more sets have the same elements in common.

Two polynomial functions, f and g, are inverse functions if a…

When increasing one quantity decreases the other member-objec…

Intersection

Points that are common to two or more sets in a geometric fig…

Intersection of Sets

When two or more sets have the same elements in common.

Order of Operations

What does PEMDAS stand for?

Greatest Common Factor vs. Lowest comm…

Mixed Number to Improper Fraction

P.E.M.D.A.S.

Please Excuse My Dear Aunt Sally, or... 1. Parentheses;... 2. Expon…

GCF... The COMMON FACTOR that repeats the GREATEST number of tim…

Whole Number x Denominator + Numerator is the new Numerator.…

Order of Operations

P.E.M.D.A.S.

What does PEMDAS stand for?

Please Excuse My Dear Aunt Sally, or... 1. Parentheses;... 2. Expon…

Circle

Circumference

Clockwise

Coefficient

A set of points on a plane that are halfway from a single poi…

The distance around a circle; similar to the perimeter of a p…

Moving in the direction of a clock

The numerical part of a term

Circle

A set of points on a plane that are halfway from a single poi…

Circumference

The distance around a circle; similar to the perimeter of a p…

Linear equation

Linear Function

Function Table

x-intercept

A first-order equation involving two variables: its graph is…

A linear function is any function that graphs to a straight l…

These are just the x and y values that are true for the given…

An x-intercept is a point on the graph where y is zero.

Linear equation

A first-order equation involving two variables: its graph is…

Linear Function

A linear function is any function that graphs to a straight l…

Formula for the area of a circle

Formula for the circumference of a cir…

Formula for the area of a rectangle

Formula for the area of a triangle

A=π r² where r = radius

C=2 π r where r = radius

A = LW where L=length and W=width

A = ½bh where b=base and h=height

Formula for the area of a circle

A=π r² where r = radius

Formula for the circumference of a cir…

C=2 π r where r = radius

Compound inequality

Contradiction

Intersection

Union

x < 5 or x > 7

Equation in one variable that has no solution

Set of all elements common to both sets

Set of all elements that belong to either of the sets

Compound inequality

x < 5 or x > 7

Contradiction

Equation in one variable that has no solution