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arithmetic sequence

arithmetic series

common difference

common ratio

a sequence where the difference between consecutive terms is…

a series whose terms form an arithmetic sequence. [p. 587]... f…

the difference between consecutive terms within an arithmetic…

the ratio between two consecutive terms in a geometric series…

arithmetic sequence

a sequence where the difference between consecutive terms is…

arithmetic series

a series whose terms form an arithmetic sequence. [p. 587]... f…

Secant

Sine

Tangent

cosecant

A trignometric function for an acute angle 𝛳 of a right angle…

A trignometric function for an acute angle 𝛳 of a right angle…

A trigonometric function for an acute angle 𝛳 of a right tria…

A trigonometric function for an acute angle θ of a right tria…

Secant

A trignometric function for an acute angle 𝛳 of a right angle…

Sine

A trignometric function for an acute angle 𝛳 of a right angle…

Asymptote

Complex Fraction

Continuity

Point of Discontinuity

A line that a graph approaches but never crosses.

A rational expression whose numerator and/or denominator cont…

A graph of a function that can be traced with a pencil but ne…

If the original function is undefined for x = a but the relat…

Asymptote

A line that a graph approaches but never crosses.

Complex Fraction

A rational expression whose numerator and/or denominator cont…

arithmetic sequence

arithmetic series

common difference

common ratio

a sequence where the difference between consecutive terms is…

a series whose terms form an arithmetic sequence. [p. 587]... f…

the difference between consecutive terms within an arithmetic…

the ratio between two consecutive terms in a geometric series…

arithmetic sequence

a sequence where the difference between consecutive terms is…

arithmetic series

a series whose terms form an arithmetic sequence. [p. 587]... f…

arithmetic sequence

arithmetic series

common difference

common ratio

a sequence where the difference between consecutive terms is…

a series whose terms form an arithmetic sequence. [p. 587]... f…

the difference between consecutive terms within an arithmetic…

the ratio between two consecutive terms in a geometric series…

arithmetic sequence

a sequence where the difference between consecutive terms is…

arithmetic series

a series whose terms form an arithmetic sequence. [p. 587]... f…

axis of symmetry

maximum point

minimum point

parabola

a line that divides a plane figure or a graph into two congru…

the vertex of a parabola that opens downwards.

the vertex of a parabola that opens upwards.

the graph of a quadratic function that forms a U-shaped curve.

axis of symmetry

a line that divides a plane figure or a graph into two congru…

maximum point

the vertex of a parabola that opens downwards.

Quadratic Equation

Axis of Symmetry

Discriminant

Maximum

an equation that can be written in the standard form ax^2+bx+…

the line that divides the parabola into two matching halves

determines the number of solutions of the equations

the y-coordinate of the vertex of a parabola that opens downw…

Quadratic Equation

an equation that can be written in the standard form ax^2+bx+…

Axis of Symmetry

the line that divides the parabola into two matching halves

Inverse Variation

Constant of Variation

Joint Variation

Rational Function

An equation of the form y = k/x, where k is not equal to zero.

The number k in equations of the form y = kx.

y=kxz

A function whose rule is given by a fraction whose numerator…

Inverse Variation

An equation of the form y = k/x, where k is not equal to zero.

Constant of Variation

The number k in equations of the form y = kx.

arithmetic mean

arithmetic sequence

arithmetic series

common difference

sum divided by two. ... Ex: (12 + 15) ÷ 2 = 13.5

a sequence with a constant difference between consecutive ter…

a series whose terms form an arithmetic sequence... Ex: 1 + 5 +…

the difference between consecutive terms of an arithmetic seq…

arithmetic mean

sum divided by two. ... Ex: (12 + 15) ÷ 2 = 13.5

arithmetic sequence

a sequence with a constant difference between consecutive ter…

Combined Variation

Complex Fraction

Constant of Variation

Direct Variation

a variation that combines both direct and inverse variation

a rational expression whose numerator and/or denominator cont…

the constant used in variation problems. It is called a const…

a variation problem in the form of y=kx

Combined Variation

a variation that combines both direct and inverse variation

Complex Fraction

a rational expression whose numerator and/or denominator cont…

X² + Y² = r²

x = a(y-k)² + h

x² / a² + y² / b² = 1

? = √[ (x2 - x1)² + (y2 - y1)² ]

Standard form of a CIRCLE centered at the origin

Standard form of a PARABOLA with horizontal axis of symmetry

Standard form of an ELLIPSE centered at the origin

Distance formula

X² + Y² = r²

Standard form of a CIRCLE centered at the origin

x = a(y-k)² + h

Standard form of a PARABOLA with horizontal axis of symmetry

bias

experiment

mean

Observational study

a systematic inaccuracy in data to that favors a certain outc…

A process that applies a treatment (change) to a group of sub…

The arithmetic mean, or average, of several numbers is one wa…

data is collected by observing an existing situation without…

bias

a systematic inaccuracy in data to that favors a certain outc…

experiment

A process that applies a treatment (change) to a group of sub…

Constant

Direct Variation

Identity

Absolute Value

horizontal line that crosses y axis at a, y=a

line passes through the origin, neither horizontal nor vertic…

line passes through point (a,a), 'a' is any real number, y=ax

V-shaped graph, | |

Constant

horizontal line that crosses y axis at a, y=a

Direct Variation

line passes through the origin, neither horizontal nor vertic…

Distance Formula

Midpoint Formula

Circle Equation

Horizontal Ellipse Equation

D= \|(x2-x1)2 + (y2-y1)2

x1+x2 y1+y2... ------ -------... 2 2

(x-h)2 + (y-k)2 =r2

(x-h)2 (y-k)2 ... ------- + -------... a2 b2

Distance Formula

D= \|(x2-x1)2 + (y2-y1)2

Midpoint Formula

x1+x2 y1+y2... ------ -------... 2 2

Remainder Theorem

Factor theorem

Rational Zeros Theorem

Upper Bound

When polynomial P(x) is divided by x-a, then the remainder is…

If P(x) is polynomial and P(a)= 0. then x-a is a factor of P(x)

If F is a polynomial with integral coefficients, and if p/q i…

Greater than the rest of the zeros

Remainder Theorem

When polynomial P(x) is divided by x-a, then the remainder is…

Factor theorem

If P(x) is polynomial and P(a)= 0. then x-a is a factor of P(x)

Only the individuals who are convenien…

Can Convenience Sampling be biased

Truly random selection so that every m…

Can SRS be biased

Convenience sampling

Yes, overall pop. is not represented

Simple Random Sample

No, everyone has an equal chance of being picked

Only the individuals who are convenien…

Convenience sampling

Can Convenience Sampling be biased

Yes, overall pop. is not represented

sine

cosine

tangent

cosecant

sin θ;... ratio of the length of the opposite leg to hypotenuse;…

cos θ;... ratio of the length of the adjacent leg to hypotenuse;…

tan θ;... ratio of the length of the opposite leg to adjacent le…

reciprocal to sine;... ratio of the length of the hypotenuse to…

sine

sin θ;... ratio of the length of the opposite leg to hypotenuse;…

cosine

cos θ;... ratio of the length of the adjacent leg to hypotenuse;…

axis of symmetry

completing the square

discriminant

maximum

a line that divides a figure or line in half so that each hal…

a process used to form a perfect square trinomial. [p. 576]

the expression within the radical sign of the quadratic formu…

the greatest possible amount. [p. 547]

axis of symmetry

a line that divides a figure or line in half so that each hal…

completing the square

a process used to form a perfect square trinomial. [p. 576]

Monomial

Degree of monomial

Polynomial

Degree of polynomial

number, variable, or the product of a number and one or more…

sum of the exponents of the variables in the monomial

sum or difference of monomials

greatest degree of its terms

Monomial

number, variable, or the product of a number and one or more…

Degree of monomial

sum of the exponents of the variables in the monomial

Geometric sequence

Common ratio

Exponential function

Exponential growth

A sequence, in which the ratio of successive terms is a const…

The relationship between the terms in a geometric sequence. I…

a function of the form f(x) = ab^x, where a and b are real nu…

An exponential function of the form f(x) = ab^x in which b>1.…

Geometric sequence

A sequence, in which the ratio of successive terms is a const…

Common ratio

The relationship between the terms in a geometric sequence. I…

Quadratic function

Standard form of a quadratic function

Quadratic parent function

Parabola

A function of the form y = ax2 + bx + c, where a is not equal…

The standard form of a quadratic function is f(x) = ax2 + bx…

The simplest quadratic function f(x) = x2 or y = x2.

The graph of a quadratic function.

Quadratic function

A function of the form y = ax2 + bx + c, where a is not equal…

Standard form of a quadratic function

The standard form of a quadratic function is f(x) = ax2 + bx…

Arithmetic sequence

Arithmetic series

Common Difference

Common Ration

Sequence with a constant difference between consecutive terms.

A series whose terms form an arithmetic sequence

Difference between consecutive terms of an arithmetic sequence.

The ratio of consecutive terms of a geometric sequence.

Arithmetic sequence

Sequence with a constant difference between consecutive terms.

Arithmetic series

A series whose terms form an arithmetic sequence

IQR

How to find outliers

Bias

Census

Helps determines outliers

Find Q1 and Q3. Find IQR (Subtract Q3 from Q1). IQR x 1.5. Ad…

A systematic inaccuracy in data due to a process that favors…

The process of measuring every member of the population.

IQR

Helps determines outliers

How to find outliers

Find Q1 and Q3. Find IQR (Subtract Q3 from Q1). IQR x 1.5. Ad…

Asymptote

Complex fraction

Constant of variation

Continuity

A line that a graph approaches but never crosses

Rational expression whose numerator and/or denominator contai…

Constant k used with direct or inverse variation

Graph of a function that can be traced with a pencil that nev…

Asymptote

A line that a graph approaches but never crosses

Complex fraction

Rational expression whose numerator and/or denominator contai…

Combined Variation

Complex Fraction

Constant of Variation

Direct Variation

occurs when one quantity varies directly and/or inversely as…

a rational expression with a numerator and / or denominator t…

in y = kx , the K is the what

the equation y=kx

Combined Variation

occurs when one quantity varies directly and/or inversely as…

Complex Fraction

a rational expression with a numerator and / or denominator t…

radicand, index

radical

principal root

radical expression

in the expression n radical a, a is the ____and n is the ____

the expression n radical a is a

if a is positive and n is even, the principal nth root of a i…

is an algebraic expression that contains radicals

radicand, index

in the expression n radical a, a is the ____and n is the ____

radical

the expression n radical a is a

square root

positive square root

radicand

perfect square

A number that when multiplied by itself equals a given number.

principal square root of a positive real number

The number or expression inside a radical symbol

A rational number whose square root is a whole number

square root

A number that when multiplied by itself equals a given number.

positive square root

principal square root of a positive real number

Arithmetic sequence

Arithmetic series

Converge

Diverge

A sequence whose successive terms differ by the same nonzero…

The indicated sum of the terms of an arithmetic sequence

An infinite sequence or series converges when the common rati…

An infinite sequence or series diverges when the common ratio…

Arithmetic sequence

A sequence whose successive terms differ by the same nonzero…

Arithmetic series

The indicated sum of the terms of an arithmetic sequence

Reciprocal function

Branch

Rational function

Point of discontiunuity

A function where x is in the denominator

Different parts of a graph

Where p(x) and q(x) are functions and p(x)/q(x) is defined ev…

If a graph has a hole or if the original function is undefine…

Reciprocal function

A function where x is in the denominator

Branch

Different parts of a graph

Common Logarithm

Exponential Decay

Exponential Equation

Exponential Growth

logarithms that use 10 as the base

exponential decay occurs when a quality decreases exponential…

an equation in which the variables occur as exponents

exponential growth occurs when a quality increases exponentia…

Common Logarithm

logarithms that use 10 as the base

Exponential Decay

exponential decay occurs when a quality decreases exponential…

conic sections, or conics

circle

translation

parabola

plane curves having second degree equations... - obtained by sli…

the set of all points in a plane that are a fixed distance, c…

sliding a graph to a new position in the coordinate plane wit…

the set of all points equidistant from a fixed line, called t…

conic sections, or conics

plane curves having second degree equations... - obtained by sli…

circle

the set of all points in a plane that are a fixed distance, c…

relation

domain

range

function

a set of ordered pairs

All of the input or x values in a relation or function

All of the output or y values of a relation or function

A relation where each input (x) has exactly one output (y)

relation

a set of ordered pairs

domain

All of the input or x values in a relation or function

binomial

degree of a monomial

degree of a polynomial

factor by grouping

A polynomial of two terms

The sum of the exponents of the variables of a monomial

The degree of the term with the greatest exponent for a polyn…

A method of factoring that uses the distributive property to…

binomial

A polynomial of two terms

degree of a monomial

The sum of the exponents of the variables of a monomial

Sequence

Explicit Formula

Recursive Formula

Arithmetic Sequence

an order list of numbers

describes the nth term of a sequence using the number n

relates each term after the first term to the one before it

a sequence where the difference between consecutive is constant

Sequence

an order list of numbers

Explicit Formula

describes the nth term of a sequence using the number n

Common Logarithm

Exponential Decay

Exponential Equation

Exponential Function

Logarithms that use 10 as the base.

When a quantity decreases exponentially overtime.

An equation in which the variables occur as exponents.

A function of the form, y=ab(raised to the x), where a does n…

Common Logarithm

Logarithms that use 10 as the base.

Exponential Decay

When a quantity decreases exponentially overtime.

Common Logarithm

Exponential Decay

Exponential Equation

Exponential Growth

logarithms that use 10 as the base

exponential decay occurs when a quality decreases exponential…

an equation in which the variables occur as exponents

exponential growth occurs when a quality increases exponentia…

Common Logarithm

logarithms that use 10 as the base

Exponential Decay

exponential decay occurs when a quality decreases exponential…

asymptote

hyperbola

branches

cubic parent graph

a line that a graph approaches (gets closer & closer to)

graph of y=1/x... CENTER at (h,k)... x=h is vertical asymptote... y=k…

2 symmetrical parts of graph of y=1/x. ... for each point (x,y)o…

y=x^3... vertical "twist and shout"

asymptote

a line that a graph approaches (gets closer & closer to)

hyperbola

graph of y=1/x... CENTER at (h,k)... x=h is vertical asymptote... y=k…

arithmetic sequence

common difference

common ratio

Domain

a sequence whose successive terms differ by the same nonzero…

In an arithmetic sequence, the nonzero constant difference of…

In a geometric sequence, the constant ratio of any term and t…

The set of all possible input values of a relation or a funct…

arithmetic sequence

a sequence whose successive terms differ by the same nonzero…

common difference

In an arithmetic sequence, the nonzero constant difference of…

Common Logarithms

Exponential decay

Exponential equation

Exponential function

Logarithms that use 10 as a base

Exponential decay occurs when a quantity decreases exponentia…

an equation in which a variable expression occurs as an expon…

A function of the form f(x) = ab^x, where a and b are real nu…

Common Logarithms

Logarithms that use 10 as a base

Exponential decay

Exponential decay occurs when a quantity decreases exponentia…