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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…

Term

Like Terms

Expression

Equation

A single number, variable, or grouping of numbers and variables

Terms that have the same letters (and the same powers for the…

A collection of maths Terms

A statement where two expressions are equal

Term

A single number, variable, or grouping of numbers and variables

Like Terms

Terms that have the same letters (and the same powers for the…

Term

Like Terms

Expression

Equation

A single number, variable, or grouping of numbers and variables

Terms that have the same letters (and the same powers for the…

A collection of maths Terms

A statement where two expressions are equal

Term

A single number, variable, or grouping of numbers and variables

Like Terms

Terms that have the same letters (and the same powers for the…

elements

sample space

subset

events

outcomes, individual things that can happen in an experiment

set of all outcomes of an experiment

a group of elements in a sample space

also known as subsets

elements

outcomes, individual things that can happen in an experiment

sample space

set of all outcomes of an experiment

Variable

Algebraic Expression

Numerical Expression

Addition

a symbol (usually a letter) or placeholder that represents an…

a mathematical pharse or expression that contains one or more…

a mathematical phrase involving numbers and operation symbols…

plus, more than, increased by, sum, added to, exceeds

Variable

a symbol (usually a letter) or placeholder that represents an…

Algebraic Expression

a mathematical pharse or expression that contains one or more…

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

complex number

discriminant

greatest common factor

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

any numbers with "i" in them. (p. 249)

(p. 242)

(GCF) the largest factor that two or more numbers have in com…

axis of symmetry

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

complex number

any numbers with "i" in them. (p. 249)

What are the 6 trigonometric functions?

Find the 6 trigonometric functions for…

Find the 6 trigonometric functions for…

Find the 6 trigonometric functions for…

Sin... Cosine... Tangent... Cosecant... Secant ... Cotangent

(1/2), (√(3)/2), (1/√(3)), 2, (2/√(3)), √(3)

(1/√(2)), (1/√(2)), 1, √(2), √(2), 1

(√(3)/2), (1/2), √(3), (2/√(3)), 2, (1/√(3))

What are the 6 trigonometric functions?

Sin... Cosine... Tangent... Cosecant... Secant ... Cotangent

Find the 6 trigonometric functions for…

(1/2), (√(3)/2), (1/√(3)), 2, (2/√(3)), √(3)

rational expression

complex fraction

rational function

continuity

a ratio of two polynomial expressions

a rational expression whose numerator and/or denominator cont…

an equation of the form f(x)=p(x)/q(x) where p(x) and q(x) ar…

the ability of a graph to be traced with a pencil that never…

rational expression

a ratio of two polynomial expressions

complex fraction

a rational expression whose numerator and/or denominator cont…

upward

downward

narrower

wider

Which way does the parabola open if a is positive?

Which way does the parabola open if a is negative?

Parabola is ________ if [a]>1

Parabola is ________ if [a]< 1

upward

Which way does the parabola open if a is positive?

downward

Which way does the parabola open if a is negative?

arithmetic sequence

arithmetic series

common difference

common ratio

a sequence of numbers such that the difference between the co…

a sequence of numbers in which each differs from the precedin…

difference between two numbers in an arithmetic sequence

the ratio between two numbers in a geometric sequence

arithmetic sequence

a sequence of numbers such that the difference between the co…

arithmetic series

a sequence of numbers in which each differs from the precedin…

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…

geometrical definition of a circle

distance formula

general equation of a circle

general equation of an ellipse

a circle is a set of point in a plane, each of which is equid…

d=√(x₂-x₁)²+(y₂-y₁)²

(x-h)²+(y-k)²=r²

(x-h)² (y-k)²... ---- + ---- = 1... rx² ry²... (with rx units from t…

geometrical definition of a circle

a circle is a set of point in a plane, each of which is equid…

distance formula

d=√(x₂-x₁)²+(y₂-y₁)²

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…

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…

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

normal

0

mean

variance

A___ distribution is a statistical distribution of data which…

A standard normal distribution is a normal distribution in wh…

the ____ is the average value of a set of numerical data, fou…

The ____ is the average of the sum of the squared differences…

normal

A___ distribution is a statistical distribution of data which…

0

A standard normal distribution is a normal distribution in wh…

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)

What is the main topic of algebra?

What are relationships made?

What is the "big question" of algebra?

3 ways to show a relationship?

Relationships

Pairs of numbers

As one variable increases what happens to the other one

rule, table, and graph

What is the main topic of algebra?

Relationships

What are relationships made?

Pairs of numbers

Converge

Diverge

Explicit formula

Infinite sequence

When |r| < 1 and the partial sum approaches a fixed number

When |r| ≥ 1 and the partial sum does not approach a fixed nu…

A formula that defines the nth a∨n term or general term, of a…

A sequence that continues without end, such as the natural nu…

Converge

When |r| < 1 and the partial sum approaches a fixed number

Diverge

When |r| ≥ 1 and the partial sum does not approach a fixed nu…

Relations

Domain

Range

Function

a set of any ordered pairs (7,2), (4,-1)

set of all 1st coordinates of the ordered pairs (x values)

set of all 2nd coordinates of the ordered pairs (y values)

a relation in which each element of the domain (x) is paired…

Relations

a set of any ordered pairs (7,2), (4,-1)

Domain

set of all 1st coordinates of the ordered pairs (x values)

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

rational expression

complex fraction

rational function

continuity

a ratio of two polynomial expressions ... (8+x) / (13+x)

a fraction that contains a fraction in its numerator and/or d…

an equation of the form f(x)= p(x)/q(x) where p(x) and q(x) a…

a graph of a function that can be traced with a pencil that n…

rational expression

a ratio of two polynomial expressions ... (8+x) / (13+x)

complex fraction

a fraction that contains a fraction in its numerator and/or d…

Center-radius form of a circle

What does (h, k) represent in the equa…

what does r represent in the equation…

how do you get from standard form to c…

(x-h)^2+(y-k)^2=r^2

the center

the radius

All x term + all y terms = constants, then complete the square

Center-radius form of a circle

(x-h)^2+(y-k)^2=r^2

What does (h, k) represent in the equa…

the center