# Study sets matching "advanced algebra"

Study sets

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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…

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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

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)

exponential growth vs. decay

exponential properties

continuously compounded interest formula

continuous change model

growth: b= 1 + r... decay: b= 1 -r

1. domain: all real numbers... 2. range: all positive real numbe…

P: amount invested... r: interest rate... t: years

N(t)= No e^rt... a: No... b: e^r... x: t

exponential growth vs. decay

growth: b= 1 + r... decay: b= 1 -r

exponential properties

1. domain: all real numbers... 2. range: all positive real numbe…

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

term

variable

constant

coefficient

either a single number or a variable or numbers and variables…

a symbol for a number we don't know yet; it is usually a lette…

a number on its own

a number used to multiply a variable

term

either a single number or a variable or numbers and variables…

variable

a symbol for a number we don't know yet; it is usually a lette…

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)

algebraic expressions

irrational number

formula

solution

expression that contains at least one variable

cannot be written as a fraction

an equation that relates two expressions; variables have meani…

a specific case that shows a statement is true

algebraic expressions

expression that contains at least one variable

irrational number

cannot be written as a fraction

Transformation

Pre-Image

Image

Reflection

A general term to manipulate a shape of a point, a line, or a…

Original Image

New Image after a transformation

Type of rigid transformation in which the pre-image is flipped…

Transformation

A general term to manipulate a shape of a point, a line, or a…

Pre-Image

Original Image

Natural numbers

Whole numbers

Integers

A number line

are the numbers used for counting

are the natural numbers including 0

are all the whole numbers and their negatives

is a straight line on which every point corresponds to an inte…

Natural numbers

are the numbers used for counting

Whole numbers

are the natural numbers including 0

composition of functions

inverse relation

inverse function

one-to-one

a function is performed, and then a second function is perform…

set of ordered pairs obtained by reversing the coordinates of…

two functions f and g are inverse functions if and only if bot…

when the inverse of a function is a function, then the origina…

composition of functions

a function is performed, and then a second function is perform…

inverse relation

set of ordered pairs obtained by reversing the coordinates of…

coefficient

composite number

constant

equation

This is the constant that multiplies the variable in a term.

A counting number that is not prime. It has factors other than…

Is a number whose value always stays the same.

Is two expressions connected by an equal sign.

coefficient

This is the constant that multiplies the variable in a term.

composite number

A counting number that is not prime. It has factors other than…

Standard Notation

Exponent

Square Root

Scientific Notation

The usual form for representing numbers

A number that shows how many times to multiply the base.

A number that can be multiplied by itself to equal a given num…

A way to express very large and very small numbers using a pow…

Standard Notation

The usual form for representing numbers

Exponent

A number that shows how many times to multiply the base.

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Theoretical Probability

Complement

Independent Events

Probability

The likeliness of an event happening based on all possible out…

The collection of outcomes not contained in the event.

The probability of one event happening without impacting anoth…

The likeliness of an occurrence of an event.

Theoretical Probability

The likeliness of an event happening based on all possible out…

Complement

The collection of outcomes not contained in the event.

Surface Area

Congruent Figures

Rotation

Parallel Lines

The sum of the areas of the faces of a three-dimensional figur…

Figures that have the same shape and size.

A transformation that turns a figure about a fixed point.

Two lines that never intersect.

Surface Area

The sum of the areas of the faces of a three-dimensional figur…

Congruent Figures

Figures that have the same shape and size.