#### Study sets matching "advanced algebra"

#### 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)

Dependent Variable

Independent Variable

Function

Domain

a variable that provides the output values of a function

a variable that provides the input values of a function

a relation that assigns exactly one value in the range to each…

the possible values for the input of a funtion

Dependent Variable

a variable that provides the output values of a function

Independent Variable

a variable that provides the input values of a function

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)

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)

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

Histogram

Interquartile Range

Qualitative Data

Quantitative Data

a graph that displays data form a frequency table

the difference between the first and third quartile

data that name qualities

data that measures quantity and can be described numerically

Histogram

a graph that displays data form a frequency table

Interquartile Range

the difference between the first and third quartile

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

Factor

Factor of a polynomial (P(x))

Perfect square

Perfect cube

a number or quantity that when multiplied with another produce…

any polynomial which divides evenly into P(x)

the product of a rational number multiplied by itself

the product of a rational number multiplied by itself three ti…

Factor

a number or quantity that when multiplied with another produce…

Factor of a polynomial (P(x))

any polynomial which divides evenly into P(x)

coefficient matrix

Cramer's Rule

determinant

dilation

matrix used with the coefficients of a system

method of solving systems using determinants

a number associated with a square matrix

a transformation that enlarges or reduces a figure

coefficient matrix

matrix used with the coefficients of a system

Cramer's Rule

method of solving systems using determinants

Monomials

Binomials

Trinomials

Polynomial

A real number, a variable, or a product of a real number and o…

A polynomial of two terms

A polynomial of three terms

A monomial or the sum or difference of two or more monomials

Monomials

A real number, a variable, or a product of a real number and o…

Binomials

A polynomial of two terms

Completing the Square

Complex Conjugate

Complex Number

Expression

The process of adding a term to a quadratic expression of the…

Two complex numbers of the form a+bi and a-bi.

A number a+bi where a and b are real numbers and i is the imag…

A symbol or a combination of symbols representing a value, rel…

Completing the Square

The process of adding a term to a quadratic expression of the…

Complex Conjugate

Two complex numbers of the form a+bi and a-bi.

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)