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Algebra II > Extra Credit > Flashcards

Extra Credit Flashcards

1
Q

Arithmetic Sequence

A

an ordered set of numbers that have a common difference between each consecutive term

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2
Q

Asymptote

A

a line that continually approaches a given curve but does not meet it at any finite distance

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3
Q

Change of base formula

A

used to re-write a logarithm operation as a fraction of logarithms with a new base

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4
Q

Circle

A

a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)

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5
Q

Combined Variation

A

a situation where a variable depends on two (or more) other variables, and varies directly with some of them and varies inversely with others

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6
Q

Common Difference

A

the difference between two consecutive terms of an arithmetic progression

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7
Q

Common Logarithm

A

a logarithm to the base 10

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8
Q

Common Ratio

A

the ratio of each term of a geometric progression to the term preceding it

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9
Q

Completing the square

A

a quadratic in the form of a squared bracket and adding a constant if necessary

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10
Q

Complex Conjugates

A

each of two complex numbers having their real parts identical and their imaginary parts of equal magnitude but opposite sign

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11
Q

Complex Fraction

A

a fraction with a fraction or mixed number in the numerator or denominator or both

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12
Q

Complex Number

A

numbers that consist of two parts — a real number and an imaginary number

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13
Q

Composition of Functions

A

an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x))

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14
Q

Compound Inequality

A

an inequality that combines two simple inequalities

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15
Q

Conic Section

A

a figure formed by the intersection of a plane and a right circular cone

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16
Q

Consistent

A

If a system has at least one solution

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17
Q

Constant of Variation

A

The ratio between two variables in a direct variation or the product of two variables in an inverse variation

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18
Q

Continuous Relation

A

if it is upper hemicontinuous and lower hemicontinuous

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19
Q

Correlation Coefficient

A

a statistical measure of the strength of the relationship between the relative movements of two variables

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20
Q

Dependent

A

a variable whose value depends upon independent variable s

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21
Q

Dimensions of a Matrix

A

the number of rows by the number of columns

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22
Q

Direct Variation

A

mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other

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23
Q

Discriminant

A

a parameter of an object or system calculated as an aid to its solution

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24
Q

Ellipse

A

A curve formed by a plane that intersects a cone at an angle with respect to the base

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25
Q

End Behavior

A

the behavior of the graph of the function at the “ends” of the x-axis

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26
Q

Exponential Equation

A

equations in which variables occur as exponents

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27
Q

Extraneous Solution

A

values that we get when solving equations that aren’t really solutions to the equation

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28
Q

Extrema

A

the maximum or minimum value of a function

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29
Q

Factor Theorem

A

a theorem that links factors and zeros of the polynomial

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30
Q

Finite Sequence

A

it has a limited number of terms and infinite if it does not

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31
Q

Function

A

a relationship or expression involving one or more variables

32
Q

Geometric Sequence

A

a sequence of numbers in which the ratio between consecutive terms is constant

33
Q

Greatest Integer Function

A

a function that results in the integer nearer to the given real number

34
Q

Growth Factor

A

the factor by which a quantity multiplies itself over time

35
Q

Hyperbola

A

a symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone

36
Q

Identity Function

A

a function which returns the same value

37
Q

Imaginary Unit

A

the square root of a negative number and does not have a tangible value

38
Q

Inconsistent

A

If a system has no solution

39
Q

Independent

A

an expression or function and whose value determines one or more of the values of the other variables

40
Q

Infinite Sequence

A

a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integers

41
Q

Interval Notation

A

a method to represent an interval on a number line

42
Q

Inverse Function

A

a function that undoes the action of the another function

43
Q

Inverse Relation

A

one in which the value of one parameter tends to decrease as the value of the other parameter in the relationship increases

44
Q

Inverse Variation

A

mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant

45
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

46
Q

Latus Rectum

A

a chord of a conic section (such as an ellipse) that passes through a focus and is parallel to the directrix

47
Q

Linear Programing

A

a mathematical technique for maximizing or minimizing a linear function of several variables, such as output or cost

48
Q

Logarithm

A

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

49
Q

Logistic Growth Model

A

a population’s per capita growth rate gets smaller and smaller as population size approaches a maximum imposed by limited resources in the environment, known as the carrying capacity

50
Q

Matrix

A

an environment or material in which something develops; a surrounding medium or structure

51
Q

nth root

A

a number y which when raised to the power n

52
Q

Natural Logarithm

A

a logarithm to the base e

53
Q

Negative Exponent

A

repeated division by the base

54
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

55
Q

Parent Function

A

the simplest function that still satisfies the definition of a certain type of function

56
Q

Piece-wise Defined Function

A

a function that is defined on a sequence of intervals

57
Q

Point Slope Form

A

the equation of a straight line in the form y − y1 = m(x − x1)

58
Q

Quadratic Function

A

a polynomial function with one or more variables in which the highest exponent of the variable is two

59
Q

Radicand

A

A number or expression inside the radical symbol

60
Q

Rate of Change

A

a rate that describes how one quantity changes in relation to another quantity

61
Q

Rational Exponent

A

an exponent that is a fraction

62
Q

Rational Function

A

a function that is the quotient of two polynomials

63
Q

Rationalizing the Denominator

A

the process of moving a root, for instance, a cube root or a square root from the bottom of a fraction

64
Q

Recursive Formula

A

a formula that defines each term of a sequence using preceding term

65
Q

Regression Line

A

an estimate of the line that describes the true, but unknown, linear relationship between the two variables

66
Q

Relative Maximum

A

point on a function is a point (x,y) on the graph of the function whose y -coordinate is larger than all other y -coordinates on the graph at points “close to” (x,y). ( x , y )

67
Q

Relative minimum

A

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

68
Q

Root

A

Where a function equals zero

69
Q

Scatter Plot

A

a graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present

70
Q

Sequence

A

A list of numbers or objects in a special order

71
Q

Set-builder Notation

A

a mathematical notation for describing a set by representing its elements or explaining the properties that its members must satisfy

72
Q

Step Function

A

a function that increases or decreases abruptly from one constant value to another

73
Q

Synthetic Division

A

a simplified method for dividing a polynomial by another polynomial of the first degree by writing down only the coefficients of the several powers of the variable and changing the sign of the constant term in the divisor

74
Q

Vertex Form

A

an alternate way of writing out the equation of a parabola

75
Q

Vertical Line Test

A

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

76
Q

Zeros

A

the input value(s) that results in an output of 0

Algebra II (1 decks)

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