Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

Flashcardlet > Math: Algebra 2 > Flashcards

Math: Algebra 2 Flashcards

0
Q

Variation Functions:

How is a joint variation read?

A

y varies jointly as x and z

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
1
Q

Variation Functions:

How is an inverse variation read?

A

y varies inversely as x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Variation Functions:
In a combined variation, quantities that vary directly appear in the ___ with _, and quantities that vary inversely appear in the _____

A

Numerator with k

Denominator

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Variation Functions:

A relationship between two variables x and y that can be written in the form y=kx

A

Direct variation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Variation Functions:

A relationship that contains both direct and inverse variation.

A

Combined variation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Variation Functions:

In all variation models, k is the __ of ____ and cannot equal _

A

Constant of variation

0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Variation Functions:

How is a direct variation read?

A

y varies directly as x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Variation Functions:
In direct variation, the __ of two quantities is constant. In inverse variation, the __ of the two quantities is constant

A

Ratio

Product

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Variation Functions:

A relationship among three variables that can be written in the form y=kxz

A

Joint variation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Variation Functions:

A relationship between two variables x and y that can be written in the form y=k/x

A

Inverse variation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Trigonometry:
For an angle theta in standard position, the __ __ is the positive acute angle formed by the terminal side of theta and the x-axis.

A

Reference angle

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Trigonometry:

The Greek letter _ is used to represent the measure of an acute angle in a right triangle

A

Theta

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Trigonometry:

The __ __ of the angle is the ray on the x-axis. The other ray is called the __ __ of the angle

A

Initial side

Terminal side

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Trigonometry:
If the terminal side is rotated counterclockwise, the angle of rotation is __. If the terminal side is rotated clockwise, the angle of rotation is __.

A

Positive

Negative

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Trigonometry:

A function whose rule is given by a trigonometric ratio

A

Trigonometric function

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Trigonometry:

Ratio of the hypotenuse over the adjacent leg

A

Secant (sec)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

Trigonometry:

An __ _ __ is formed by rotating the terminal side and keeping the initial side in place

A

Angle of rotation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

Trigonometry:

Ratio of the hypotenuse over the opposite leg

A

Cosecant (csc)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Trigonometry:

The reciprocals of the sine, cosine, and tangent ratios are the trigonometric ratios __, __, & __

A

Cosecant
Secant
Cotangent

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

Trigonometry:

An angle is in __ __ when its vertex is at the origin and one ray is on the positive x-axis

A

Standard position

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

Trigonometry:

Ratio of the adjacent leg over the opposite leg

A

Cotangent (cot)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

Trigonometry:
When an object is above or below another object, you can find distances indirectly by using the __ _ __ or the __ _ __ between the objects

A

Angle of elevation

Angle of depression

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

Trigonometry:

Ratio of the opposite leg over the adjacent leg

A

Tangent (tan)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

Trigonometry:

Ratio of opposite leg over the hypotenuse

A

Sine (sin)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

Trigonometry:

Ratio of adjacent leg over the hypotenuse

A

Cosine (cos)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Q

Trigonometry:

Angles in standard position with the same terminal side. Find by adding or subtracting integer multiples of __ degrees

A

Coterminal angles

360

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
26
Q

Statistics:

A continuous probability distribution for a random variable x.

A

Normal distribution

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
27
Q

Statistics:

A numerical description of a population characteristic

A

Parameter

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
28
Q

Statistics:

The distance from the mean a particular datum lies

A

Standard deviation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
29
Q 
Statistics:
Determining if an event is unusual:
Less than _%, unusual
Over than _%, not unusual 
* no specific % which determines if event is unusual or not
A

5%

5%

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
30
Q

Statistics:

Involves using a sample to draw conclusions about a population

A

Inferential

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
31
Q

Statistics:
An investigation of one or more characteristics of a population. Most often carried out on people by asking them questions

A

Survey

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
32
Q

Statistics:
Two cases to finding probabilities of independent events:
__:__ probabilities of each event
__:__ probabilities of each event

A

AND: multiply
OR: add

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
33
Q

Statistics:

The average of a set of data

A

Mean

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
34
Q

Statistics:
Consists of numerical measurements or counts
Ex: number of students who eat breakfast

A

Quantitative Data

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
35
Q

Statistics:
Which sampling method?:
Often leads to biased studies. Consists only of available members of the population

A

Convenience sample

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
36
Q

Statistics:
The normal distribution with a mean of 0 and a standard deviation of 1 is called the _ _ _. The horizontal scale of the graph of the standard normal distribution corresponds to -

A

Standard normal distribution

Z-scores

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
37
Q

Statistics:

What are the two types of data sets?

A

Population

Sample

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
38
Q

Statistics:
To find the z-score when given the area to the right of a z-score, use ___ function.
___(#)

A

invNorm()

invNorm(1-area to right of z-score)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
39
Q

Statistics:

Rule that will help see how valuable the standard deviation can be as a measure of variation

A

68-95-99.7 rule

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
40
Q

Statistics:

What are the two branches of statistics?

A

Descriptive

Inferential

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
41
Q

Statistics:

To find the area to the left of the z score, use the __ function. ____(#,#).

A

normalcdf()

normalcdf(-100000, given z-score)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
42
Q

Statistics:

A numerical description of a sample characteristic

A

Statistic

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
43
Q

Statistics:

A count or measure of part of a population; often more practical than taking a census

A

Sampling

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
44
Q

Statistics:
When choosing members of a sample, you should decide whether it is acceptable to have the same population member selected more than once. If acceptable, the sampling process is said to be __ ___. If it is not, the sampling process is said to be ___ __.

A

With replacement

Without replacement

45
Q

Statistics:

Involves the organization, summarization, and display of data

A

Descriptive

46
Q

Statistics:
Which sampling method?:
A sample in which each member of the population is assigned a number. The members of the population are ordered in some way , a starting # is randomly selected, and the n sample members are selected at regular intervals from the starting #

A

Systematic sample

47
Q

Statistics:

The science of collecting, organizing, analyzing, and interpreting data in order to make decisions

A

Statistics

48
Q

Statistics:
Consists of attributes, labels, or non-numerical entries
Ex: what students eat for breakfast (eggs, toast, pancakes)

A

Qualitative Data

49
Q

Statistics:

A subset of a population

A

Sample

50
Q

Statistics:

What are 2 examples of independent events?

A

Flipping a coin

Selecting marbles from a bag with replacement

51
Q

Statistics:

To find the area to the right of the z score, use the __ function. ____(#,#).

A

normalcdf()

normalcdf(Given z-score, 100000)

52
Q 
Statistics:
Some cases where a normal model cannot be used:
1) data is \_\_ either to the _ or _
2) data is \_\_ (more than one _)
3) data is \_\_ (no _)
A

Skewed, left or right
Bimodal, more than one mode
Consistent, no modes

53
Q

Statistics:
Which sampling method?:
Sample in which every possible sample of the same size has the same chance of being selected

A

Simple random sample

54
Q

Statistics:

The graph of a normal distribution

A

Normal curve

55
Q

Statistics:

A treatment is applied to part of a population and responses are observed

A

Experiment

56
Q

Statistics:

Represents the number of standard deviations a given value falls from the mean

A

Standard score

Z-score

57
Q

Statistics:

The collection of all outcomes, responses, measurements, or counts that are of interest

A

Population

58
Q

Statistics:
Typically, any value that does not lie within _ standard deviations of the mean is considered ____ ____. This means that it is unusual that this event would occur.

A

2

Statistically significant

59
Q

Statistics:

A count or measure of an entire population; provides complete information, but is often costly and difficult to perform

A

Census

60
Q

Statistics:

Consists of information coming from observations, counts, measurements, or responses

A

Data

Singular: datum

61
Q

Statistics:
If a z-score is negative, the corresponding x-value is ___ the mean. If a z-score is positive, the corresponding x-value is ___ the mean. If a z-score equals 0, the corresponding x-value is ___ the mean.

A

Below
Above
Equal to

62
Q

Statistics:
Which sampling method?:
Ensures that each segment of the population is represented

A

Stratified sample

63
Q

Statistics:

Members of the population are divided into 2 or more subsets that share a similar characteristic

A

Strata

64
Q

Statistics:
To find the area between 2 z-scores, use the __ function.
___(#,#)

A

normalcdf()

normalcdf(first z-score, second z-score)

65
Q

Statistics:
Properties of a normal distribution:
1) __, __, & ___ are equal
2) normal curve is __ __ and is ___ about the mean
3) total area under the normal curve is equal to _
4) the normal curve approaches but never touches the ____ as it extends farther and farther away from the mean
5) In the center of the curve, the graph curves ____ (__ __). The graph curves ___ (__ __) to the left of u-o and to the right of u+o.

A 
Mean, median, mode
Bell-shaped, symmetric
1
X-axis
Downward, concave down
Upward, concave up
66
Q

Statistics:
The use of a mathematical or physical model to reproduce the conditions of a situation or process. Allow you to study situations that are impractical or even dangerous to create in life. Often save time and money

A

Simulation

67
Q

Statistics:
A researcher observes and measures the characteristics of interest of part of a population. The researcher does not influence the responses

A

Observational study

68
Q

Statistics:

How do you find the z-score?

A

(Value-mean)/ standard deviation

69
Q

Statistics:

Events that the occurrence of one event does not affect the probability of the other.

A

Independent events

70
Q

Statistics:
Which sampling method?:
When population falls into naturally occurring subgroups, each having similar characteristics. Select all members in one or more(but not all) of the clusters

A

Cluster sample

71
Q

Statistics:
Which sampling method?:
One in which every member of the population has an equal chance of being selected

A

Random sample

72
Q

Statistics:

The points at which the curve changes from curving up to curving down

A

Inflection points

73
Q

Statistics:

Each standard deviation equates to a z-score of _

A

1

74
Q

Statistics:

A basic tool in the study of inferential statistics

A

Probability

75
Q

Statistics:
To find the z-score when given the area to the left of a z-score, use ___ function.
___(#)

A

invNorm()

invNorm(area to left of z-score)

76
Q

Statistics:

Many real-life data sets have distributions that are approximately ____ and ____

A

Symmetric

Bell-shaped

77
Q

Statistics:

Divide the population into groups of similar characteristics

A

Clusters

78
Q

Functions:

Vertical stretch and compression changes the _ value

A

Y

79
Q 
Functions:
Name the parent function:
f(x)= x
D: (- infinity, infinity)
R: ( -infinity, infinity)
Slope: 1
A

Linear

80
Q

Functions:
Away from x-axis
(x,y) -> (x,ay); |a| > 1

A

Vertical stretch

81
Q

Functions:
Toward the y-axis
(x,y) -> (bx,y); 0<|b|<1

A

Horizontal compression

82
Q 
Functions:
Name the parent function:
f(x)= x^3
D: (- infinity, infinity)
R: (- infinity, infinity)
A

Cubic

83
Q

Functions:
Away from y-axis
(x,y) -> (bx,y); |b| > 1

A

Horizontal stretch

84
Q

Functions:

Horizontal stretch and compression changes the _ value

A

X

85
Q

Functions:
f(x)= the square root of x
D: [0, infinity)
R: [0, infinity)

A

Square root

86
Q 
Functions:
Name the parent function:
f(x)= x^2
D: (- infinity, infinity)
R: [0, infinity)
A

Quadratic

87
Q

Functions:
Toward the x-axis
(x,y) -> (x,ay); 0<|a|<1

A

Vertical compression

88
Q

Matrices:

rectangular arrangement of numbers

A

Matrix

89
Q

Matrices:

The product of 2 or more matrices is called a _____ _____

A

Matrix product

90
Q

Matrices:

A message written according to a secret code

A

Cryptogram

91
Q

Matrices:
The _____ _____ matrix is a square matrix that has all the entries along the main diagonal equal to 1 & all of the other entries equal to 0

A

Multiplicative identity

92
Q

Matrices:

Two matrices are ____ if they have the same dimensions and their corresponding entries are equal

A

Equal

93
Q

Matrices:

In matrix algebra, a real number is called a _____

A

Scalar

94
Q

Matrices:

Each number/term in a matrix is called an ____ or an _____

A

Entry

Element

95
Q

Matrices:

A ____ matrix contains only one column

A

Column

96
Q

Matrices:

A network where arrows show direction of travel between vertices

A

Directed network

97
Q

Matrices:

2 square matrices are ____ of each other if their product (in both orders) is the identity matrix

A

Inverses

98
Q

Matrices:

The goal of row reduction is to transform the augmented matrix to ____ __-____ ___

A

Reduced row-echelon form

99
Q

Matrices:

The process of performing elementary row operations on an augmented matrix to solve the system

A

Row reduction

100
Q

Matrices:

A ___ matrix contains only one row

A

Row

101
Q

Matrices:

Matrices can only be added/subtracted if they have the same ______

A

Dimensions

102
Q

Matrices:

A finite set of connected points called vertices

A

Network

103
Q

Matrices:

The ___ diagonal of a square matrix is the diagonal from the upper left corner to the lower right corner

A

Main

104
Q

Matrices:

What is the equation of finding the inverse of a 2x2 matrix?

A

1/det(A)* [d -b]

[-c a]

105
Q

Matrices:

Associated with each square matrix is a real # called a

A

Determinant

106
Q

Matrices:

A ____ matrix has the same number of rows & columns

A

Square

107
Q

Matrices:

You can use determinants to solve a system of linear equations using a method called

A

Cramer’s rule

108
Q

Matrices:

Size of a matrix

A

Dimensions

109
Q

Matrices:

Location of a # in a matrix

A

Address

Flashcardlet (5 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions