Mathematics 8

Question 1

is introduced using the concept of sets

Answer 1

rectangular coordinate system

Question 2

is a set of all ordered pairs

Answer 2

cartesian product

Question 3

known as xy-plane

Answer 3

cartesian plane

Question 4

a french mathematician who is known as father of modern mathematics

Answer 4

rene descartes

Question 5

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

Answer 5

cartesian plane

Question 6

four regions in the cartesian plane

Answer 6

quadrants

Question 7

point in coordinate system

Answer 7

ordered pair

Question 8

the first coordinate of a point is called

Answer 8

x-coordinate or abscissa

Question 9

second coordinate of a point

Answer 9

y-coordinate or ordinate

Question 10

horizontal lines

Answer 10

x-axis

Question 11

vertical lines

Answer 11

y-axis

Question 12

it is where y and x axis meets

Answer 12

point of origin

Question 13

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

Answer 13

quadrant I

Question 14

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

Answer 14

quadrant II

Question 15

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

Answer 15

quadrant III

Question 16

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

Answer 16

quadrant IV

Question 17

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

Answer 17

function

Question 18

a horizontal line represents a

Answer 18

function

Question 19

variable x is considered as the

Answer 19

independent variable

Question 20

variable y is expressed as the

Answer 20

dependent variable

Question 21

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

Answer 21

function

Question 22

range is known as

Answer 22

image

Question 23

domain is also known as

Answer 23

pre-image

Question 24

is defined by f(x) = mx+b

Answer 24

linear function

Question 25

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

Answer 25

linear equations

Question 26

Ax+By=C

Answer 26

standard form

Question 27

y=mx+b

Answer 27

slope-intercept form

Question 28

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

Answer 28

linear equation

Question 29

can be described by uts steepness or slope

Answer 29

line

Question 30

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

Answer 30

slope

Question 31

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

Answer 31

slope and y-intercept

Question 32

done by using x and y intercept

Answer 32

x-intercept and y-intercept

Question 33

done by using two points in the graph

Answer 33

two points

Question 34

done by using the slope and one point

Answer 34

slope and one point

Question 35

done by using the slope intercept of the equation

Answer 35

slope-intercept form of the equation of a line

Question 36

done by using the point-slope form

Answer 36

point-slope form of the euqation of a line

Question 37

done by ysing two-point form

Answer 37

two-point form of the equation of a line

Question 38

a ____ is any set of ordered pairs

Answer 38

relation

Question 39

the highest exponent of x that occurs in the fuction f

Answer 39

degree of a function f

Question 40

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

Answer 40

function notation

Question 41

a straight line in Euclidean Geometry

Answer 41

line

Question 42

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

Answer 42

mapping diagram

Question 43

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

Answer 43

mathematical phrase

Question 44

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

Answer 44

rate of change

Question 45

also known as cartesian plane

Answer 45

rectangular coordinate system

Question 46

any set of ordered pairs

Answer 46

relation

Question 47

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

Answer 47

trend

Question 48

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

Answer 48

vertical line test

Question 49

an algebraic method of solving systems of linear equations

Answer 49

elimination method

Question 50

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

Answer 50

GeoGebra

Question 51

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

Answer 51

graphical method

Question 52

if-clause

Answer 52

hypothesis

Question 53

then-clause

Answer 53

conclusion

Question 54

p-q format

Answer 54

conditional statement

Question 55

q-p format

Answer 55

converse statement

Question 56

~p-~q format

Answer 56

inverse statement

Question 57

~q - ~p format

Answer 57

contrapositive statement

Question 58

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

Answer 58

simple implication

Question 59

the statement which is accepted or known at the beginning

Answer 59

hypothesis

Question 60

the statement drawn from the hypothesis

Answer 60

conclusion

Question 61

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

Answer 61

deductive reasoning

Question 62

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

Answer 62

proof

Question 63

is a statement that is accepted without proof

Answer 63

postulate

Question 64

is a statement accepted after it is prooved deductively

Answer 64

theorem

Question 65

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

Answer 65

paragraph form

Question 66

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

Answer 66

two-column form

Question 67

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

Answer 67

flow chart form

Question 68

is a method of reasoning usually written in paragraph form

Answer 68

indirect form