# Study sets matching "advanced algebra"

Natural numbers

Whole numbers

Integers

Rational numbers

The numbers used for counting: 1, 2, 3, 4

Natural numbers and zero (0, 1, 2, 3, 4)

Natural numbers (positive integers), zero, and negative intege…

All the numbers can be written as quotients as integers. Must…

Natural numbers

The numbers used for counting: 1, 2, 3, 4

Whole numbers

Natural numbers and zero (0, 1, 2, 3, 4)

Absolute Value

Amplitude

Angle of Elevation

Arithmetic Sequence

The distance between zero and the point representing a real nu…

Half the difference between the minimum and maximum values of…

The angle above horizontal that an observer must look to see a…

A sequence such as 1, 5, 9, 13, 17 or 12, 7, 2, -3, -8, -13, -…

Absolute Value

The distance between zero and the point representing a real nu…

Amplitude

Half the difference between the minimum and maximum values of…

Factorise by taking out a common factor

Factorise difference of two squares

Factorise trinomial

Factorise

Highest common factor goes in front of the brackets.... Divide ea…

(√first - √second)(√first + √second)

Take square root of the first term and put in two sets of brac…

Put brackets in

Factorise by taking out a common factor

Highest common factor goes in front of the brackets.... Divide ea…

Factorise difference of two squares

(√first - √second)(√first + √second)

Variable

Expression

Algebraic Sentence

Equation

a letter that can replaced by a number(x)

connects variables and numbers( x,/,-,+)(x+2)

connect two expressions (<,>,less or greater than,=) (x+2=7)

A sentence that has an equal sign

Variable

a letter that can replaced by a number(x)

Expression

connects variables and numbers( x,/,-,+)(x+2)

real number

natural numbers

whole numbers

integers

All numbers on number line

positive numbers 1 2 3

non negative integers 0 1 2 3

-3 -2 -1 0 1 2 3

real number

All numbers on number line

natural numbers

positive numbers 1 2 3

Random

Self-Selected

Systematic

Stratified

each member in population has exact same chance of being chosen

Members of population volunteer to be in sample

A "rule" is used to select sample (ex: every 4th house, every…

population is divided based on similar characteristics, then s…

Random

each member in population has exact same chance of being chosen

Self-Selected

Members of population volunteer to be in sample

Direct, inverse, and mixed

Arithmetic, harmonic, geometric

D= a2 minus a1

X = a+b over 2

Three kinds of variation

Three types of progressions

In arithmetic progression, how do you find the d? Hahaha

How do you find the arithmetic mean?

Direct, inverse, and mixed

Three kinds of variation

Arithmetic, harmonic, geometric

Three types of progressions

Expected value

Variance

Outlier

Population

The weighted average of the possible outcomes

Average of the squared differences from the mean

An extreme value that is much less than or much greater than t…

The entire group of people or objects that you want imformatio…

Expected value

The weighted average of the possible outcomes

Variance

Average of the squared differences from the mean

absolute value

relation

domain

range

how many units from zero on a number line

pairing of input values with output values

all possible input values (x values)

all possible output values (y values)

absolute value

how many units from zero on a number line

relation

pairing of input values with output values

Addition of perfect cube

Difference of perfect cube

Looking for holes

Finding vertical asymptotes

A^3 + b^3= (a+b)(a^2 -ab +b^2)

A^3 - b^3= (a-b)(a^2 +ab+b^2)

After you have factored and simplified the rational function,…

Set the denominator equal to zero and solve for x

Addition of perfect cube

A^3 + b^3= (a+b)(a^2 -ab +b^2)

Difference of perfect cube

A^3 - b^3= (a-b)(a^2 +ab+b^2)

Numerator

Denominator

x-intercept

root

The number above the line in a fraction

The number below the line in a fraction

Where a line crosses the x-axis; x=0

occurs when there is a zero in the numerator; graphed as x-int…

Numerator

The number above the line in a fraction

Denominator

The number below the line in a fraction

SOH - CAH - TOA

complements theorem

pythagorean identity

tangent theorem

sin @ = cos (90-@)... cos @ = sin (90 - @)

sin²θ + cos²θ = 1

tan @ = sin @/ cos @

SOH - CAH - TOA

complements theorem

sin @ = cos (90-@)... cos @ = sin (90 - @)

A bank advertises a 2/1 ARM at 3.25% wi…

Aimee and Ben are purchasing a condomin…

Kathy and Jake are purchasing a house a…

Rachel is purchasing a condominium and…

9.25%

$2,252.70

$377,238.57

$2845.65

A bank advertises a 2/1 ARM at 3.25% wi…

9.25%

Aimee and Ben are purchasing a condomin…

$2,252.70