Mathematics 8 Flashcards

1
Q

is introduced using the concept of sets

A

rectangular coordinate system

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2
Q

is a set of all ordered pairs

A

cartesian product

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3
Q

known as xy-plane

A

cartesian plane

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4
Q

a french mathematician who is known as father of modern mathematics

A

rene descartes

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5
Q

is composed of two perpendicular number lines that meet at the point of origin (0,0) and divide the plane into four regions called quadrants

A

cartesian plane

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6
Q

four regions in the cartesian plane

A

quadrants

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7
Q

point in coordinate system

A

ordered pair

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8
Q

the first coordinate of a point is called

A

x-coordinate or abscissa

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9
Q

second coordinate of a point

A

y-coordinate or ordinate

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10
Q

horizontal lines

A

x-axis

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11
Q

vertical lines

A

y-axis

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12
Q

it is where y and x axis meets

A

point of origin

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13
Q

x>0, or x is positive
y>0, or y is positive
or (+,+)

A

quadrant I

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14
Q

x>0, or x is negative
y>0, or y is positive
or (-,+)

A

quadrant II

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15
Q

x>0, or x is negative
y>0, or y is negative
or (-,-)

A

quadrant III

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16
Q

x>0, or x is positive
y>0, or y is negative
or (+,-)

A

quadrant IV

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17
Q

is a special type of relation; a relation in which every element in the domain is mapped to exactly one element in the range

A

function

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18
Q

a horizontal line represents a

A

function

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19
Q

variable x is considered as the

A

independent variable

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20
Q

variable y is expressed as the

A

dependent variable

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21
Q

f(x) notation can also be used to define a

A

function

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22
Q

range is known as

A

image

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23
Q

domain is also known as

A

pre-image

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24
Q

is defined by f(x) = mx+b

A

linear function

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25
Q

aside from the sets of ordered pairs and the graph, linear function f defined by f(x) = mx+b can also be represented by its equation

A

linear equations

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26
Q

Ax+By=C

A

standard form

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27
Q

y=mx+b

A

slope-intercept form

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28
Q

is an equation in twl variables which can be written in two forms

A

linear equation

29
Q

can be described by uts steepness or slope

A

line

30
Q

can be computed by finding the quotient of the rise and the run

A

slope

31
Q

done by identifying the slope and the y-intercept of the linear equation

A

slope and y-intercept

32
Q

done by using x and y intercept

A

x-intercept and y-intercept

33
Q

done by using two points in the graph

A

two points

34
Q

done by using the slope and one point

A

slope and one point

35
Q

done by using the slope intercept of the equation

A

slope-intercept form of the equation of a line

36
Q

done by using the point-slope form

A

point-slope form of the euqation of a line

37
Q

done by ysing two-point form

A

two-point form of the equation of a line

38
Q

a ____ is any set of ordered pairs

A

relation

39
Q

the highest exponent of x that occurs in the fuction f

A

degree of a function f

40
Q

a notation in which a function is written in the form f(x) in terms of x

A

function notation

41
Q

a straight line in Euclidean Geometry

A

line

42
Q

a representation of a relation in which every element in the domain corresponds to one or more elements in the range

A

mapping diagram

43
Q

an algebraic expression that combines numbers and/or variables using mathematical operators

A

mathematical phrase

44
Q

the slope m of the line and is the quotient of change in y-coordinate and the change in x-coordinate

A

rate of change

45
Q

also known as cartesian plane

A

rectangular coordinate system

46
Q

any set of ordered pairs

A

relation

47
Q

tells whether the line is increasing or decreasing and can be determined using the value of m

A

trend

48
Q

if every vertical line intersects the graph no more than once, the graph represents a function

A

vertical line test

49
Q

an algebraic method of solving systems of linear equations

A

elimination method

50
Q

an open-source dynamic mathematics software that can be used to visualize and understand concepts in algebra, geometry, calculus and stats

A

GeoGebra

51
Q

a method of finding the solution of a system of linear pair

A

graphical method

52
Q

if-clause

A

hypothesis

53
Q

then-clause

A

conclusion

54
Q

p-q format

A

conditional statement

55
Q

q-p format

A

converse statement

56
Q

~p-~q format

A

inverse statement

57
Q

~q - ~p format

A

contrapositive statement

58
Q

a simple flow of reasoning from the if-clause tot he then-clause is called

A

simple implication

59
Q

the statement which is accepted or known at the beginning

A

hypothesis

60
Q

the statement drawn from the hypothesis

A

conclusion

61
Q

reasoning that uses basic/or general statements to arrive at a conclusion; uses accepted facts

A

deductive reasoning

62
Q

is a logical arguement in which each statement is supported/justified by given infos, definitions, axioms, postulates, theorems, and oreviously proven statements

A

proof

63
Q

is a statement that is accepted without proof

A

postulate

64
Q

is a statement accepted after it is prooved deductively

A

theorem

65
Q

is one way of proof where you write a paragraph to explain why a conjecture for a given situation is true

A

paragraph form

66
Q

is one way of writing proof where you create a table containing 2 columns (statements and reason)

A

two-column form

67
Q

is another way of writing proof where a series of statements are organized in logical order using boxes and arrows

A

flow chart form

68
Q

is a method of reasoning usually written in paragraph form

A

indirect form