# Study sets matching "algebra ii honors"

polynomials

square a number

first difference

second difference

an expression of more than 2 algebraic terms.

...to multiply a number by itself or to raise it to the power…

Values obtained by subtracting each term in a sequence from it…

Differences that are found by subtracting consecutive first di…

polynomials

an expression of more than 2 algebraic terms.

square a number

...to multiply a number by itself or to raise it to the power…

Absolute value

Axes

Base of a power

binomial

the distance from 0 on the number line

x & y axis intersecting at the origin (0,0)

the repeated factor of the power

a polynomial with 2 terms

Absolute value

the distance from 0 on the number line

Axes

x & y axis intersecting at the origin (0,0)

polynomials

square a number

first difference

second difference

an expression of more than 2 algebraic terms.

...to multiply a number by itself or to raise it to the power…

Values obtained by subtracting each term in a sequence from it…

Differences that are found by subtracting consecutive first di…

polynomials

an expression of more than 2 algebraic terms.

square a number

...to multiply a number by itself or to raise it to the power…

Real Numbers

Rational Numbers

Integers

Whole Numbers

The numbers we use (non-imaginary)

Any number that can be expressed as a ration a/b, where a and…

The set of numbers we would use on a number line (negatives an…

The set of all positive integers including zero... -----> 0,1,2...

Real Numbers

The numbers we use (non-imaginary)

Rational Numbers

Any number that can be expressed as a ration a/b, where a and…

rational functions

logarithmic functions

exponential functions (inverse of logar…

rational functions: finding horizontal…

m>n - no H.A.... m<n - y=0... m=n - y=a/b... m=n+1 - long division

rational functions

logarithmic functions

Natural

whole

integer

rational

positive integer (1, 2, 3...)

positive integers and 0 (0, 1, 2, 3,..)

positive whole numbers, negative whole numbers, and zero (-2,…

p/q where p and q are integers and q is not 0

Natural

positive integer (1, 2, 3...)

whole

positive integers and 0 (0, 1, 2, 3,..)

linear equation

solving a linear equation

clearing fractions

linear absolute value equation

a variables have a degree of 1

To solve an equation, do whatever is necessary to both sides t…

multiply each side by the LCM

|ax+b|=c

linear equation

a variables have a degree of 1

solving a linear equation

To solve an equation, do whatever is necessary to both sides t…

commutative property of addition

associative property of addition

identity property of addition

inverse property of addition

the order you add numbers together does not change the sum

the way you group numbers does not change the sum

the sum of a number and zero is the number

the sum of a a number and it's opposite is zero

commutative property of addition

the order you add numbers together does not change the sum

associative property of addition

the way you group numbers does not change the sum

Standard Deviation

Logarithm Solution

Standard form

Vertex Form

o= √(1st #-mean)^2+....(Last #-mean)^2/n... n= number of terms... E…

15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log28…

Ax^2+Bx+C=0

Y=(x-h)^2+k (h,k)... (h, k) is the vertex

Standard Deviation

o= √(1st #-mean)^2+....(Last #-mean)^2/n... n= number of terms... E…

Logarithm Solution

15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log28…

Domain

Range

Asymptote

Long Division

The set of values for the independent variables.

The difference between a set of numbers.

A line which is tangent to a curve at infinity.

Dividing a polynomial by another polynomial.

Domain

The set of values for the independent variables.

Range

The difference between a set of numbers.

Direct Variation

Inverse Variation

k =

z varies jointly with x and y

y = kx... k = y/x

y = k/x... x= k/y... k = xy

constant of variation

z = kxy

Direct Variation

y = kx... k = y/x

Inverse Variation

y = k/x... x= k/y... k = xy

commutative addition/multiplication

associative addition/multiplication

identity addition/multiplication

inverse addition/multiplication

a+b=b+a... ab=ba

(a+b)+c=a+(b+c)... (ab)c=a(bc)

a+0=a, 0+a=a... 1xa=a, ax1=a

a+(-a)=0... ax1/a=1

commutative addition/multiplication

a+b=b+a... ab=ba

associative addition/multiplication

(a+b)+c=a+(b+c)... (ab)c=a(bc)

3-D graphing of a plane

3-D graphing of a point in space

Absolute Value Equation

Constraints

(X,Y,Z), x axis is coming out at you horizontally, y axis is l…

1. locate x coordinate on x axis... 2. Count number of units need…

Y=m |x-h| +k... Graph is "v" shaped

restrictions placed on potential solutions to a problem

3-D graphing of a plane

(X,Y,Z), x axis is coming out at you horizontally, y axis is l…

3-D graphing of a point in space

1. locate x coordinate on x axis... 2. Count number of units need…

Absolute value of a complex number

Axis of symmetry

Completing the square

Complex Number

Distance from the origin on the complex number plane

The line that divides a parabola into parts that are mirror im…

The process of finding the last term of the perfect square tri…

Imaginary numbers and real numbers together

Absolute value of a complex number

Distance from the origin on the complex number plane

Axis of symmetry

The line that divides a parabola into parts that are mirror im…

Composite Function

Inverse Function

One-to-one function

x^(m+n)

f ( g ( x )) ( f of g of x")

f^-1 (x) ("switch x and y")

- For every input, there is exactly one output ... - You can tell…

x^m x^n = ?

Composite Function

f ( g ( x )) ( f of g of x")

Inverse Function

f^-1 (x) ("switch x and y")

polynomials

square a number

first difference

second difference

an expression of more than 2 algebraic terms.

...to multiply a number by itself or to raise it to the power…

Values obtained by subtracting each term in a sequence from it…

Differences that are found by subtracting consecutive first di…

polynomials

an expression of more than 2 algebraic terms.

square a number

...to multiply a number by itself or to raise it to the power…

function

Domain

Range

increasing interval

1. A relationship from one set (called the domain) to another…

The set of input values of a function. Also the independent va…

The set of output values of a function. Also the dependent var…

where the graph has a positive slope (x,y)

function

1. A relationship from one set (called the domain) to another…

Domain

The set of input values of a function. Also the independent va…

natural numbers

whole numbers

integers

real numbers

Numbers that are greater than 0

Numbers that are greater than or equal to 0

All whole numbers including negatives and positives

All rational and irrational numbers

natural numbers

Numbers that are greater than 0

whole numbers

Numbers that are greater than or equal to 0

Equation of a circle

The Focus-Directrix form of the equatio…

The Focus-Directrix form of the equatio…

Standard Equations of Ellipses (Horizon…

(h.k)=center... radius=r

y = a(x - h)^2+k... Direction of opening: a>0: up a<0: down... Verte…

x= a(y-k)^2+h... Direction of opening: a>0: right a<0: let... Vertex…

Center: (h,k)... Length of major axis: 2a... Length of minor axis: 2b

Equation of a circle

(h.k)=center... radius=r

The Focus-Directrix form of the equatio…

y = a(x - h)^2+k... Direction of opening: a>0: up a<0: down... Verte…