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2nd sem-midterm > MATH101 > Flashcards

MATH101 Flashcards

1
Q

_____It is the study of pattern and structure.

A

Mathematics

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2
Q

______It is the study of quantity.

A

Mathematics

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3
Q

_______These are regular, repeated, or recurring forms or design.

A

Patterns

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4
Q

______ a sense of harmonious and beautiful proportion or an object is invariant to any various transformations (reflection rotation, or scaling).

A

Symmetry:

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5
Q

______a symmetry in which the left and right sides of the organism can be divided into approximately mirror image of each other along the midline.

A

Bilateral symmetry:

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6
Q

Ex: butterfly, seashells. Dapat pantay ang left ug right

A

Bilateral symmetry:

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7
Q

_______: a symmetry around a fixed point known as the center.

A

Radial Symmetry

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8
Q

Ex: starfish, snowflakes

A

Radial Symmetry

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9
Q

________ A curve or geometric figure, each part of which has the same statistical character as a whole.

A

Fractals:

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10
Q

Ex: branches of trees, animal circulatory systems, snowflakes, lightning and electricity, plants and leaves, geographic terrain and river systems, clouds, crystals.

A

Fractals:

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11
Q

______ it is a curved pattern that focuses on a centre point and a series of circular shapes that revolve around it.

A

Spirals:

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12
Q

Ex: Snail shells, flower petals, pine cones, snakes, storms, DNA, curly hair, even galaxies

A

Spirals:

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13
Q

_______: It is a pattern of numbers where a number is found by adding up two numbers before it.

A

Fibonacci Sequence

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14
Q

______ the sequence of numbers starting with 0 and 1, th sequence goes 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55…, and so forth, each of which, after the second, is the sum of the two previous numbers; that is, the nth Fibonacci number Fn = Fn − 1 + Fn − 2.

A

Fibonacci sequence,

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15
Q

The ______ can also be seen in the way tree branches form or split. A main trunk will grow until it produces a branch, which creates two growth points. Then, one of the new stems branches into two, while the other one lies dormant. This pattern of branching is repeated for each of the new stems.

A

Fibonacci sequence

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16
Q

TRUE OR FALSE: Finding the nth term in the Fibonacci Sequence using Binet’s Formula
Fn = φ^n/√5 , where n = nth term, φ = 1.618 (golden ration) √5 = 2.236

A

TRUE

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17
Q

The _____ , also known as the golden number, golden proportion, or the divine proportion, is a ratio between two numbers that equals approximately 1.618. Usually written as the Greek letter phi, it is strongly associated with the Fibonacci sequence, a series of numbers wherein each number is added to the last.

A

golden ratio

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18
Q

______: is a systematic means of communicating by the use of sounds or conventional symbols

A

Language

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19
Q

The language of mathematics was designed:

A
  1. numbers
  2. sets
  3. functions
  4. perform operations
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20
Q

What are the Parts of Speech for Mathematics

A
  1. Numbers
  2. Operations symbol
  3. Relation symbols
  4. Grouping Symbols
  5. Variables
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21
Q

______: are the very first symbol to represent quantity.

A

Numbers

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22
Q

______: like +, \, - , and x can act as connectives in mathematical sentences.

A

Operations symbol

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23
Q

_______ such as =, ≥, and ~ are used for comparison and act as verbs in the mathematical language.

A

Relation symbols

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24
Q

_____ such as (), {}, and [] are used to associate groups of numbers and operators.

A

Grouping Symbols

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25
Q

______ are letters that represent quantities.

A

Variables

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26
Q

Start of the alphabet:
a, b, c, …

A

constants (fixed values)

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27
Q

From i to n:
i, k, l, m, n

A

Positive integers (for counting)

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27
Q

End of alphabet
… x, y, z

A

Variables (unknown)

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28
Q

Set Notations
Some important sets to remember:

A

N= set of natural numbers
W = set of whole numbers
Z = set of integers
Q = set of rational numbers
Q’ = set of irrational numbers
R = set of real numbers
C = set of complex numbers

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29
Q

____= set of natural numbers

A

N

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30
Q

______ = set of whole numbers

A

W

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31
Q

_____= set of integers

A

Z

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32
Q

_____ = set of rational numbers

A

Q

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33
Q

_____= set of irrational numbers

A

Q’

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34
Q

____ = set of real numbers

A

R

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35
Q

_____ = set of complex numbers

A

C

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36
Q

______It is the name given to a mathematical object of interest, which may be a quantity, number, and combinations of these using different operations. (pag walay = sign, matic expressions)

A

Mathematical Expressions

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37
Q

Example:
a) 5x + 2
b) -4
c) 9 + 3
d) 2e

A

Mathematical Expressions

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38
Q

______It expresses a complete mathematical thought about the relation of a mathematical object to another mathematical object.

A

Mathematical Sentences

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39
Q

Example:
3 plus 2 is equal to the square root of 25.
10 divided 2 is less than 3.
2x + 7 = 13
5x < 9

A

Mathematical Sentences

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40
Q

______ – is a declarative sentence which can be regarded as true or false. To represent a statement, we use lower case letters p, q, and r.

A

Statement/Proposition

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41
Q

______ involve terms such as all, each, every, no, none, some, here exists, and at least one.

A

Quantified statements

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42
Q

_____, either include or exclude every element of the universal set. These includes all, each, every, no and none.

A

Universal Quantifiers

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43
Q

_____, claim the existence of something but don’t include the entire universal set. These are some, there exists, at least one.

A

Existential Quantifiers

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44
Q

The ______of a statement or proposition is a corresponding statement with the opposite truth value. This means that if a statement is true, its negation is false, and if a statement is false, its negation is true.

A

negation

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45
Q

The _____ of the propositions p and q is the compound statement “p and q.” denoted as 𝒑 ∧ 𝒒 which is true only when both p and q are true.

A

conjunction

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46
Q

The _______ of the propositions p and q is the compound statement “p or q.” denoted as 𝒑 v 𝒒 which is false only when both p and q are false.

A

disjunction

47
Q

The _______of the propositions p and q is the compound statement “if p, then q.” denoted by 𝒑 → 𝒒 which is false only when p is true and q is false.

A

conditional

48
Q

The ______ of the propositions p and q is the compound statement “p if and only if q.” denoted as 𝒑 ↔ 𝒒 which is true only when both p and q have the same truth value.

A

biconditional

49
Q

The______ of the statement p is denoted by ~𝒑 (𝒏𝒐𝒕 𝒑) where ~ is the symbol for “not”. The truth value of the negation is always the opposite of the truth value of the original statement.

A

negation

50
Q

_______ It is the science of collecting, organizing, summarizing, and analyzing information to draw conclusion.

A

STATISTICS

51
Q

Branches of Statistics

A
  1. Descriptive Statistics
  2. Inferential Statistics
52
Q

_____ Collecting, summarizing, presenting and analyzing an entire set of collected data.

A

Descriptive Statistics

53
Q

______Using data collected from a small group to draw conclusions about a larger group.

A

Inferential Statistics

54
Q

The _____ is the extent to which the data values group around a typical or central value.

A

central tendency

55
Q

It is the sum of the data values divided by the number of data values.
It is also called the average
It is appropriate only for data under interval and ratio scale measurement

A

MEAN

56
Q

______: x̄ =∑ x/n

A

UNGROUPED DATA FORMULA

57
Q

_____ : x̄ = ∑ x/fm/n

A

GROUPED DATA

58
Q

Case I: If the number of values is odd, the —— is the middle number
Case II: If the number of values is even, the —- is the average of the two middle numbers

A

MEDIAN

59
Q

The ______ is the value that occurs most often

A

MODE

60
Q

It is used to test relationships between two variables. The study of how variables are correlated is called ______

A

correlation analysis.

61
Q

_______ - it is something that depends on other factors.

A

Dependent variable

62
Q

_____ – it is not changed by the other variables you are trying to measure

A

Independent variable

63
Q

Predict the value of a dependent variable based on the value of at least one independent variable

A

Regression analysis

64
Q

_____ - is used to model the relationship of variables

A

Regression line

65
Q

y’ = a + bx

A

Regression Analysis

66
Q

a = (∑y) (∑x²) – (∑x) (∑xy)
n (∑x²) - (∑x)²

A

Regression Analysis A

67
Q

b = n(∑xy) – (∑x) (∑y)
n (∑x²) - (∑x)²

A

Regression Analysis A

68
Q

Follow the sequence and fill in the missing number: 3_____,11,18,27

A

6

69
Q

Follow the sequence and fill in the missing number: 11,13,17,____31….

A

23

70
Q

Follow the sequence and fill in the missing number: 22,19,____13,10….

A

16

71
Q

Follow the sequence and fill in the missing number: 3,6,12,_____,48….

A

24

72
Q

Follow the sequence and fill in the missing number: 30,_____,15,9,4….

A

22

73
Q

It is also known as divine proportion

A

Golden Ratio

74
Q

Type of patterns wherein the shapes are also called “self-similar”

A

Fractals

75
Q

Golden ration is approximately

A

1.618

76
Q

To make predictions mathematical models can generate analysis and interpretation using existing data.

A

MATHEMATICS FOR pREDICTION

77
Q

The most asethetically proportion_____approximately by the ratios of the fibonacci numbers

A

golden ratio

78
Q

It refers to any two sets dented by A and B such that every element of A is also an element of B then A is called subset of B, written A B.

A

Ordered pair

79
Q

A number in sequence separated by comma

A

term

80
Q

The sum of a number and 16 is equal to 45.

A

x+16 = 45

81
Q

The total of Joshua’s savings and $350 is $925.

A

s + 350 = 925

82
Q

The product of 6 and m is 216.

A

6m = 216

83
Q

The difference of 100 and x is 57

A

100 - x = 57

84
Q

The quotient of z and 10 is 32.

A

z/10 = 32

85
Q

$18 less than the original price is $48.

A

x -18 =48

86
Q

17 more than some number is equal to 85.

A

17 + x = 85

87
Q

The number of members divided by 6 is 15.

A

x/6 = 15

88
Q

5 more than 2 times a number

A

5 + 2x

89
Q

7 less than 5 times a number

A

5x - 7

90
Q

5 times a number, decreased by 2

A

5x - 2

91
Q

2 diminished by 7 times a number

A

2 - 7x

92
Q

2 increased by 5 times a number

A

2 + 5x

93
Q

Twice a number, decreased by 7

A

2x - 7

94
Q

2 more than 7 times a number

A

2 + 7x

95
Q

9 less than a number

A

9 - x

96
Q

4 times a number, plus 9

A

4x - 9

97
Q

9 decreased by 4 times a number

A

9 - 4x

98
Q

One-fourth of a number

A

1x/4

99
Q

9 times a number, decreased by 4

A

9x - 4

100
Q

9 times a number, increased by 4 times the number

A

9x + 4x

101
Q

2 times the sum of a number and 8

A

2(x+8)

102
Q

Two-thirds of a number

A

2x/3

103
Q

3 times the sum of twice a number and 8

A

3(2x+8)

104
Q

10 meters higher than height x

A

10+ x

105
Q

The Fibonacci sequence was invented by the Italian _______ (1180-1250), who is known in mathematical history by several names: Leonardo of Pisa (Pisano means “from Pisa”) and Fibonacci (which means “son of Bonacci”).

A

Leonardo Pisano Bigollo

106
Q

______ deals with the characteristics of various objects

A

Logic Patterns

107
Q

_____ list of numbers that follow a certain sequence or pattern

A

Number Patterns

108
Q

Characteristics of Mathematics Language:

A

Precise
Concise
Powerful

109
Q

a set of all the whole numbers excluding 0

A

natural numbers

110
Q

_____ are positive numbers, including zero, without any decimal or fractional parts.

A

Whole numbers

111
Q

_____ include all whole numbers and negative numbers.

A

Integers

112
Q

_____number is a number whose decimal form is finite or recurring in nature.

A

rational

113
Q

_____ numbers have decimals that can go on forever

A

Irrational

114
Q

_______ include rational numbers like positive and negative integers, fractions, and irrational numbers. In other words, any number that we can think of

A

Real numbers

115
Q

_______ is a combination of a real number and an imaginary number.

A

Complex number

2nd sem-midterm (9 decks)

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