# Study sets matching "advanced algebra"

Study sets

Diagrams

Classes

Users

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…

Even Function

Odd Function

Graphing Form/Vertex Form

Transformation of a Function

A function where f(−x) = f(x) for all values of x defined for…

A function where f(−x) = −f(x) for all values of x defined for…

y = a(x − h)^2 + k. The vertex (h, k)

Changing a parent function. Transformations often move up and…

Even Function

A function where f(−x) = f(x) for all values of x defined for…

Odd Function

A function where f(−x) = −f(x) for all values of x defined for…

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)

Asymptote

Equation

Independent Variable

Dependent Variable

A line that a graph approaches as the x‑values approach positi…

A mathematical sentence in which two expressions appear on eit…

When one quantity changes in a way that does not depend on the…

When one quantity depends on one or more other variables for i…

Asymptote

A line that a graph approaches as the x‑values approach positi…

Equation

A mathematical sentence in which two expressions appear on eit…

Appreciation

Depreciation

Half-Life

Mulitplier

An increase in value

A decrease in value, decrease in price

When material decays, the half-life is the time it takes until…

In a geometric sequence the number multiplied times each term…

Appreciation

An increase in value

Depreciation

A decrease in value, decrease in price

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

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