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Algebra II test vocab > Vocab Test Algebra II > Flashcards

Vocab Test Algebra II Flashcards

1
Q

Arithmetic Sequence

A

A sequence in which the difference of consecutive terms is constant

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2
Q

Asymptote

A

A line that a graph approaches more and more closely

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3
Q

Change of Base Formula

A

Log a B=Log B/Log A

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4
Q

Combined Variation

A

a combination of direct and inverse variation: y=kx/z.

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5
Q

Common Difference

A

The constant difference d between consecutive terms of an arithmetic sequence

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6
Q

Common Logarithm

A

Logarithm with base 10

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7
Q

Common Ratio

A

The constant ratio t between consecutive terms of a geometric sequence

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8
Q

Completing the Square

A

To add a term c to an expression of the form x^2 + bx such that x^2 +bx + c is a perfect square trinomial

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9
Q

Complex Conjugates

A

Pairs fo complex numbers of the forms a + bi and a - bi, where b does not = 0

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10
Q

Complex Fraction

A

A fraction that contains a fraction in its numerator or denominator

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11
Q

Complex Number

A

a number that can be expressed in the form a + bi, where a and b are real numbers

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12
Q

Composition of Functions

A

an operation that takes two functions f and g and produces a function h

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13
Q

Compound Inequality

A

the overlap or intersection of the solution sets for the individual statements.

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14
Q

Conic Section

A

a curve obtained as the intersection of the surface of a cone with a plane

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15
Q

Consistent

A

a linear or nonlinear system of equations

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16
Q

Constant of Variation

A

the constant (unchanged) ratio of two variable quantities. where k is the constant of variation

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17
Q

Continuous Relation

A

A set of data is said to be discrete if the values belonging to the set are distinct and separate

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18
Q

Correlation Coefficient

A

A number that is a measure of the strength and direction of the correlation between two variables

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19
Q

Dependent

A

depends on the value of some other number

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20
Q

Dimensions of a Matrix

A

the number of rows by the number of columns

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21
Q

Direct Variation

A

simple relationship between two variables

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22
Q

Discriminant

A

the part of the quadratic formula underneath the square root symbol

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23
Q

Ellipse

A

regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points is constant

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24
Q

End Behavior

A

The end behavior of a function f describes the behavior of the graph of the function at the “ends” of the x-axis

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25
Q

Exponential Equation

A

a function of the form {\displaystyle f(x)=ab^{x}, } where b is a positive real number, and the argument x occurs as an exponent

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26
Q

Extraneous Solution

A

a solution that emerges from the process of solving the problem but is not a valid

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27
Q

Extrema

A

the maximum or minimum value of a function.

28
Q

Factor Theorem

A

a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem. The factor theorem states that a polynomial f(x) has a factor if and only if f(k)=0

29
Q

Finite Sequence

A

a list of terms in a specific order

30
Q

Function

A

a function that can be defined as the root of a polynomial equation

31
Q

Geometric Sequence

A

a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

32
Q

Greatest Integer Function

A

a function that returns a constant value for each specific interval

33
Q

Inverse Variation

A

y varies inversely as x if there is some nonzero constant k such that

34
Q

Joint Variation

A

a situation where one variable depends on two (or more) other variables, and varies directly as each of them when the others are held constant.

35
Q

Latus Rectum

A

the chord through a focus parallel to the conic section directrix

36
Q

Linear Programming

A

a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.

37
Q

Logarithm

A

a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

38
Q

Logistic Growth Model

A

The logistic growth model is approximately exponential at first, but it has a reduced rate of growth as the output approaches the model’s upper bound, called the carrying capacity.

39
Q

Matrix

A

a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns

40
Q

nth root

A

it is the general way of talking about roots

41
Q

Natural Logarithms

A

Logarithm with base 10

42
Q

Negative Exponent

A

just means that the base is on the wrong side of the fraction line

43
Q

Parabola

A

a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape

44
Q

Parent Function

A

the simplest function of a family of functions that preserves the definition of the entire family

45
Q

Piece Wise Defined Function

A

a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain

46
Q

Point Slope Form

A

y − y1 = m(x − x1)

47
Q

Quadratic Function

A

a function of degree two

48
Q

Radicand

A

he value inside the radical symbol

49
Q

Rate of Change

A

the speed at which a variable changes over a specific period of time.

50
Q

Rational Exponent

A

an exponent that is a fraction

51
Q

Rational Function

A

any function which can be written as the ratio of two polynomial functions

52
Q

Rationalizing the Denominator

A

means to eliminate any radical expressions in the denominator such as square roots and cube roots

53
Q

Recursive Formula

A

a formula that defines each term of a sequence using preceding term(s)

54
Q

Regression Line

A

a straight line that de- scribes how a response variable y changes as an explanatory variable x changes.

55
Q

Relative Maximum

A

a point where the function changes direction from increasing to decreasing

56
Q

Relative Minimum

A

is all the points x, in the domain of the function, such that it is the smallest value for some neighborhood

57
Q

Root

A

The root of a number x is another number, which when multiplied by itself a given number of times, equals x

58
Q

Scatter Plot

A

a two-dimensional graphical representation of a set of data.

59
Q

Sequence

A

an enumerated collection of objects in which repetitions are allowed and order matters

60
Q

Set-Builder Notation

A

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements

61
Q

Step Function

A

a function on the real numbers is called a step function if it can be written as a finite linear combination of indicator functions of intervals.

62
Q

Synthetic division

A

synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division

63
Q

Vertex Form

A

The vertex form of a quadratic is given by y = a(x – h)2 + k, where (h, k) is the vertex

64
Q

Vertical Line Test

A

a method that is used to determine whether a given relation is a function or not

65
Q

Zeros

A

no quantity or number; naught; the figure 0.

Algebra II test vocab (1 decks)

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