##### STUDY GUIDES

##### SETS

Whole Number

Integer

Rational Numbers

Irrational Numbers

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

All whole numbers (both positive and negative) and zero.

All positive and negative integers, fractions and decimal numb…

Any real number which cant be expressed as a fraction of two i…

Whole Number

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Integer

All whole numbers (both positive and negative) and zero.

bar graph

frequency table

histogram

numerical expression

a type of graph in which the lengths of bars are used to repre…

A table that lists items together according to its interval wh…

A bar graph where the bars touch, where the height of each bar…

consists of numbers and operations

bar graph

a type of graph in which the lengths of bars are used to repre…

frequency table

A table that lists items together according to its interval wh…

integer

factor

prime number

prime factorization

All whole numbers (both positive and negative) and zero.

the resolution of an integer or polynomial into factors such t…

A whole number that has exactly two factors, 1 and itself.

integer

All whole numbers (both positive and negative) and zero.

factor

the resolution of an integer or polynomial into factors such t…

Vertical Angles

Supplementary Angles

Right Angle

Complimentary Angles

Formed by 2 intersecting lines or segments. Always congruent.

Two angles that form a line and add up to 180°.

An angle that measures 90°.

Two angles that add up to 90°.

Vertical Angles

Formed by 2 intersecting lines or segments. Always congruent.

Supplementary Angles

Two angles that form a line and add up to 180°.

bar graph

frequency table

histogram

numerical expression

a type of graph in which the lengths of bars are used to repre…

A table that lists items together according to its interval wh…

A bar graph where the bars touch, where the height of each bar…

consists of numbers and operations

bar graph

a type of graph in which the lengths of bars are used to repre…

frequency table

A table that lists items together according to its interval wh…

repulsed

placid

irritated

curt

cause (someone) to feel intense distaste and aversion.

(of a person or animal) not easily upset or excited.

showing or feeling slight anger; annoyed.

rudely brief.

repulsed

cause (someone) to feel intense distaste and aversion.

placid

(of a person or animal) not easily upset or excited.

order of operations

greatest common factor (numbers)

greatest common factor (variables)

least common multiple (numbers)

PEMDAS

the biggest number that will go into all the numbers

Pick the smallest x, the smallest y, etc.

The smallest number that all the numbers will go into

order of operations

PEMDAS

greatest common factor (numbers)

the biggest number that will go into all the numbers

Function

Perfect Square

Completing the Square

x^a * y^a = (xy)^a

A given input, sent through the function, produces a given out…

In a polynomial expression, two numbers that add to equal the…

In x (squared) + ax + b, where b is unknown, find b by taking…

When multiplying different numbers but are raised to the SAME…

Function

A given input, sent through the function, produces a given out…

Perfect Square

In a polynomial expression, two numbers that add to equal the…

what is mean and how to get it

what is median how to get it

mode

how to get range

mean=average 平均... add up all the numbers, then divide by how ma…

median=中央値 ... 5人の人がいるとき、その5人の年齢の中央値は3番目に年寄りな人の年齢。データが偶数個の場合は、中央…

The number which appears most often in a set of numbers. ... 数のセッ…

largest number - smallest number = range

what is mean and how to get it

mean=average 平均... add up all the numbers, then divide by how ma…

what is median how to get it

median=中央値 ... 5人の人がいるとき、その5人の年齢の中央値は3番目に年寄りな人の年齢。データが偶数個の場合は、中央…

Steps for adding and subtracting ration…

Polynomial Long Division

The standard form of a quadratic equati…

Quadratic Formula

1. Factor out as much as you can... Cancel out factors if you ca…

Divide... Multiply... Subtract... Bring Down... Repeat Until Finished

ax2+bx+c=0

x = -b ± √(b² - 4ac)/2a

Steps for adding and subtracting ration…

1. Factor out as much as you can... Cancel out factors if you ca…

Polynomial Long Division

Divide... Multiply... Subtract... Bring Down... Repeat Until Finished

Quadratic Formula

Function

Perfect Square

Completing the Square

Quadratic Formula:

A given input, sent through the function, produces a given out…

In a polynomial expression, two numbers that add to equal the…

In x (squared) + ax + b, where b is unknown, find b by taking…

Quadratic Formula

Quadratic Formula:

Function

A given input, sent through the function, produces a given out…

How to determine if something is a func…

A value of x is typically excluded from…

(f+g)(x)

(f-g)(x)

It passes the Vertical Line Test

it makes the denominator 0 or makes the value of an expression…

f(x)+g(x)

f(x)-g(x)

How to determine if something is a func…

It passes the Vertical Line Test

A value of x is typically excluded from…

it makes the denominator 0 or makes the value of an expression…