#### Study sets matching "algebra ii honors"

#### 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 i…

Differences that are found by subtracting consecutive first d…

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…

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 i…

Differences that are found by subtracting consecutive first d…

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)

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…

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…

Absolute Value

Algebraic Expression

Boundary line

Domain

The distance a number is from zero on a number line

Consists of numerals, variables and other mathematical symbols

A line (dashed or solid) that indicates whether the points on…

The set of all possible input values for a relation or function

Absolute Value

The distance a number is from zero on a number line

Algebraic Expression

Consists of numerals, variables and other mathematical symbols

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 a…

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…

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…

15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log2…

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…

Logarithm Solution

15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log2…

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,..)

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)

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 i…

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

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 i…

Complex Conjugate Theorem

Irrational Root Theorem

Fundamental Theorem of Algebra

Intermediate Value Theorem

if the imaginary number a+bi is a root of a polynomial equati…

let a and b be rational numbers and let the square root of b…

If P(x) is a polynomial of degree n(greater than or equal to)…

let f be a polynomial function with real coefficients, if f(a…

Complex Conjugate Theorem

if the imaginary number a+bi is a root of a polynomial equati…

Irrational Root Theorem

let a and b be rational numbers and let the square root of b…

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

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 i…

Differences that are found by subtracting consecutive first d…

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…

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 i…

Differences that are found by subtracting consecutive first d…

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…

Parent Function

Line of Best Fit

Scatterplot

Reflection

Simplest form of a set of functions that form a family

The trend line that finds the most accurate model of related…

Graph that relates two different sets of data by plotting the…

Flips the graph of a function across a line

Parent Function

Simplest form of a set of functions that form a family

Line of Best Fit

The trend line that finds the most accurate model of related…

Direct Variation Equation

What is the vertex of the equation a |…

Point-slope form

How do you find the line of best fit o…

y=kx... (k is not equal to zero, constant of the variation is k)

(h , k)

y - y1 = m (x - x1)... (when you have a point and a slope)

...

Direct Variation Equation

y=kx... (k is not equal to zero, constant of the variation is k)

What is the vertex of the equation a |…

(h , k)

vertical stretch

vertical shrink

if a is negative

if a>1 or a<-1

number greater than 1 and stretches away from x-axis

number less than 1 and shrinks towards x-axis

graph is reflected

vertical stretch

vertical stretch

number greater than 1 and stretches away from x-axis

vertical shrink

number less than 1 and shrinks towards x-axis

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…

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…

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…

Inverse Variation

Constant of Variation

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

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

Sine of an angle

Cosine of an angle

Tangent of an angle

Cosecant of an angle

the ratio the length of the side opposite to the length of th…

the ratio of the length of the side adjacent to the length of…

the ratio of the length of the side opposite to the length of…

the ratio of the length of the hypotenuse to the length of th…

Sine of an angle

the ratio the length of the side opposite to the length of th…

Cosine of an angle

the ratio of the length of the side adjacent to the length of…

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 numb…

set

a collection of objects ; sometimes named with capital letters

element/member

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

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…

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…

Standard Deviation

Logarithm Solution

Standard form

Vertex Form

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

15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log2…

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…

Logarithm Solution

15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log2…

√(b^2-4ac) > 0... a perfect square

√(b^2-4ac) > 0... but not a perfect square

√(b^2-4ac) < 0... (negative)

√(b^2-4ac) = 0

2 real rational roots

2 real but irrational roots

2 imaginary/complex roots

1 real rational double root

√(b^2-4ac) > 0... a perfect square

2 real rational roots

√(b^2-4ac) > 0... but not a perfect square

2 real but irrational roots

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,..)

Open Sentences

Equation

Solution

Absolute Value

A mathematical sentence containing one or more variables

A mathematical sentence stating that two mathematical express…

Each replacement that results in a true sentence.

a numbers distance from 0 on the number line

Open Sentences

A mathematical sentence containing one or more variables

Equation

A mathematical sentence stating that two mathematical express…

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.

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 v…

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

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 v…

One to One function

Onto function

Descrete relation

Continuous relation

A function where each element of the domain

Each element of the range corresponds with to an element of t…

A relation in which the domain is a set of individual points

A relation that can be graphed w/ a line or smooth curve

One to One function

A function where each element of the domain

Onto function

Each element of the range corresponds with to an element of t…

Standard Deviation

Logarithm Solution

Standard form

Vertex Form

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

15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log2…

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…

Logarithm Solution

15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log2…

Bounded

Break-Even Point

Coefficient Matrix

Cramer's Rule

Graph of a system of constraints is a polygonal region

Point at which the income and cost is equal

Matrix that only contains coefficients of a system of equations

Method that uses determinants to solve to solve a system of l…

Bounded

Graph of a system of constraints is a polygonal region

Break-Even Point

Point at which the income and cost is equal

Equation of a circle

The Focus-Directrix form of the equati…

The Focus-Directrix form of the equati…

Standard Equations of Ellipses (Horizo…

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

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

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

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 equati…

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