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Honors Algebra 2 > Final Review > Flashcards

Final Review 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 the graph approaches more and more closely.

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3
Q

change of base formula

A

allows you to rewrite a logarithm in terms of logs written with another base

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4
Q

circle

A

a shape consisting of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point

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5
Q

combined variation

A

describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them and varies inversely with others (when the rest of the variables are held constant).

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6
Q

common difference

A

the constant difference “d” between consecutive terms of an arithmetic sequence

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7
Q

completing the square

A

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

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8
Q

complex conjugates

A

pairs of complex numbers of the forms a + bi and a - bi, where b does not equal zero

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9
Q

complex fraction

A

a fraction that contains a fraction in its numerator or denominator

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10
Q

common logarithm

A

a logarithm with a base of ten referred to as simply log

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11
Q

common ratio

A

the constant ratio “r” between consecutive terms of a geometric sequence

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12
Q

complex number

A

a number written in the form a + bi, where a and b are real numbers

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13
Q

composition of functions

A

an operation that can be performed with two functions

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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

a linear or nonlinear system of equations is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity.

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17
Q

constant of variation

A

the constant “A” in the inverse variation equation y=a/x, where a does not equal zero

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18
Q

continuous relation

A

forming an unbroken whole

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19
Q

correlation coefficient

A

a number “r” from -1 to 1 that measure how well a line fits a set of data pairs (x,y)

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20
Q

dependent

A

reliant upon another variable

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21
Q

dimensions of a matrix

A

the dimensions of a matrix with m rows and n columns are m X n

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22
Q

direct variation

A

a simple relationship between two variables

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23
Q

discriminant

A

the expression b^2-4ac in the quadratic formula

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24
Q

ellipse

A

a closed plane curve generated by a point moving in such a way that the sums of its distances from two fixed points is a constant

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25
Q

end behavior

A

the behavior of the graph of a function as x approaches positive infinity or negative infinity

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26
Q

exponential equation

A

equations in which variable expression occur as exponents

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27
Q

extraneous solution

A

solutions that are not solutions of the original eqauion

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28
Q

extrema

A

the smallest and largest of values

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29
Q

factor theorem

A

a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder

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30
Q

finite sequence

A

list of terms in a specific order

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31
Q

function

A

a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

32
Q

geometric sequence

A

a sequence in which the ratio of any term to the previous term is constant

33
Q

greatest integer function

A

The function rounds -off the real number down to the integer less than the number. This function is also known as the Floor Function.

34
Q

growth factor

A

the factor by which a quantity multiplies itself over time

35
Q

hyperbola

A

two curves that are like infinite bows

36
Q

identity function

A

a function that always returns the same value that was used as its argument.

37
Q

imaginary unit

A

the square root of -1

38
Q

inconsistent

A

if a system has no solution

39
Q

independent

A

the quantity that is being manipulated

40
Q

infinite sequence

A

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

41
Q

interval notation

A

way of writing subscripts of the real number line

42
Q

inverse function

A

functions that undo each other

43
Q

inverse relation

A

set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function.

44
Q

inverse variation

A

two variables x and y show inverse variation when y= a/x, where a does not equal zero

45
Q

joint variation

A

occurs when a variable varies directly or inversely with multiple variables

46
Q

latus rectum

A

the chord through a focus parallel to the conic section

47
Q

linear programming

A

mathematical modeling technique in which a linear function is maximized or minimized when subjected to various constraints.

48
Q

logarithm

A

the inverse function to exponentiation

49
Q

Logistic growth model

A

general differential equation that only models the sigmoid function for x > 0 x>0

50
Q

matrix

A

a rectangular arrangement of numbers

51
Q

nth root

A

for an integer “n” greater than 1, if b^=a, then b is an nth root of a.

52
Q

natural logarithm

A

a logarithm with base “E”, denoted by ln

53
Q

negative exponent

A

the number that shows how many times to divide by a number

54
Q

parabola

A

the graph of a quadratic function

55
Q

parent function

A

the most basic function in a family of functions

56
Q

piece-wise defined function

A

a function defined by two or more equations

57
Q

point-slope form

A

means that you’re supposed to write the equation of a line from knowing its slope and any point on the line

58
Q

quadratic function

A

a function that can be written in the form f(x)=a(x-h)^2 +k, where x does not equal zero

59
Q

radicand

A

the value inside the radical

60
Q

rate of change

A

used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable

61
Q

rational exponent

A

exponent that is a fraction

62
Q

rational function

A

A function that is the ratio of two polynomials. It is “Rational” because one is divided by the other, like a ratio.

63
Q

rationalizing the denominator

A

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

64
Q

recursive formula

A

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

65
Q

regression line

A

a line that best describes the behavior of a set of data.

66
Q

relative maximum

A

point is a point where the function changes direction from increasing to decreasing

67
Q

relative minimum

A

a point where the function changes direction from decreasing to increasing

68
Q

root

A

solution of an equation

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

an ordered list of numbers

71
Q

set-builder notation

A

uses symbols to define a set, in terms of the properties of the members of the set

72
Q

step function

A

a piecewise function defined by a constant value over each part of its domain

73
Q

synthetic division

A

a shortcut method to divide a polynomial by a binomial of the form x-k

74
Q

vertex form

A

a quadratic function written in the form f(x)= a (x-h)^2 +k, where a doesn’t equal zero

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

no number 0

Honors Algebra 2 (1 decks)

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