# Study sets matching "honors algebra ii"

Study sets

Diagrams

Classes

Users

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…

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,..)

Relation

Domain

Range

Function

A mapping or pairing of input values with output values.

The set of input values.

The set of output values.

A relation for which each input has exactly one output.

Relation

A mapping or pairing of input values with output values.

Domain

The set of input values.

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…

Real number

natural numbers

whole numbers

integers

all numbers rational and irrational numbers

how you count, starts at 1-1,2,3...

natural numbers and 0

whole numbers and their opposites

Real number

all numbers rational and irrational numbers

natural numbers

how you count, starts at 1-1,2,3...

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…

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…

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")

Inverse Variation

Constant of Variation

Rational Function

Simplified Form of a Rational Expression

In an inverse variation, k is the constant of variation.

a rational expression in which the numerator and denominator h…

Inverse Variation

Constant of Variation

In an inverse variation, k is the constant of variation.

set

element/member

subset

real numbers

a collection of objects ; sometimes named with capital letters

each object in a set ; typically use braces {} to enclose them

a set that's a part of a larger set

consists of several subsets of numbers ; set of rational numbe…

set

a collection of objects ; sometimes named with capital letters

element/member

each object in a set ; typically use braces {} to enclose them

Three variable graphing

Absolute value graphing

Absolute value inequalities

Boat problem

Z-up and down... Y-Horizontal... X-Comes at you diagonally

This graph is a V shape.... The vertex is at (h, k) and the slope…

If 0,0 is false shade where true (away)

miles=hours(boat+current)... miles2=hours2(b-c)

Three variable graphing

Z-up and down... Y-Horizontal... X-Comes at you diagonally

Absolute value graphing

This graph is a V shape.... The vertex is at (h, k) and the slope…

Real Numbers

ratio

irrational number

Interval notation

the set of rational numbers and irrational numbers. every poin…

a rational number is a real number that can be expressed as a…

a real number that cannot be expressed as a ratio of two integ…

a way of writing the set of all real numbers between two endpo…

Real Numbers

the set of rational numbers and irrational numbers. every poin…

ratio

a rational number is a real number that can be expressed as a…

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)

Real Numbers

Imaginary Numbers

Rational Numbers

Irrational Numbers

Have points on the number line

Do NOT have points on the number line

Can be expressed in a ratio or two integers

Can't be expressed in a ratio or two integers

Real Numbers

Have points on the number line

Imaginary Numbers

Do NOT have points on the number line