Midterm Vocabulary Flashcards

1
Q

Literal equation

A

equations made up of mostly letters

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2
Q

compound inequality

A

inequalities joined by the words “OR” or “AND”

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3
Q

Abscissa

A

x-axis

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4
Q

Ordinate

A

y-axis

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5
Q

origin

A

(0,0) point where x and y intersect

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6
Q

point slope

A

y-y1=m(x-x1)

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7
Q

slope-intercept

A

y=mx+b

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8
Q

m

A

slope

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9
Q

b

A

y-intercept

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10
Q

Standard

A

+Ax+By=C

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11
Q

Binomial

A

polynomial made up of exactly two (non-sampleable) terms.

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12
Q

polynomial made up of exactly two (non-sampleable) terms.

A

Binomial

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13
Q

x-axis

A

Abscissa

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14
Q

Domain

A

set of all possible inputs, x-values

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15
Q

Function

A

each input - only be 1 unique output. x-values don’t repeat

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16
Q

Function Notation

A

f(x) f of x, equivalent to y

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17
Q

Range

A

set all possible outputs, y values

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18
Q

Slope

A

rate of change

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19
Q

Boundary line

A

(solid or dashed) line that is plotted that separates the graph into half planes

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20
Q

Degree of Polynomial

A

Highest of the degrees of the terms in polynomial

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21
Q

reciprocal

A

flip the frac

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22
Q

opposite

A

signs, ones positive other be neg

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23
Q

communitive property

A

when you switch the order a+b=b+a

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24
Q

associative property

A

when grouping is switched, (a+b)+c=a+(b+c)

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25
Q

additive inverse

A

when adding the opposite, -25 to 25

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26
Q

multiplicative identity

A

multiply by 0 and number stays the same

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27
Q

additive identity

A

add zero-identity doesn’t change

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28
Q

Highest of the degrees of the terms in polynomial

A

Degree of Polynomial

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29
Q

Degree of term

A

sum of the exponents on the variables of the term

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30
Q

Consistent system

A

system of equations that has at least 1 solution

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31
Q

dependent system

A

system of equations made up of the same line

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32
Q

Elimination

A

one of the methods for solving systems of equations where the (equations are combined in order to get rid of one of the variables leaving you with one equation), in one variable.

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33
Q

Graphing

A

SEE the solulu

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34
Q

Realtion

A

set of ordered pairs

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35
Q

Dependent system

A

made up of sm line

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36
Q

Solution to a system of equations

A

points where all equations in the system intersect

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37
Q

Substitution

A

One of the methods for solving systems of equations where( a variable is replaced with its equivalent leaving you with one equation) in one variable.

38
Q

System of Equations

A

Multiple equations (with the same variables) that are solved simultaneously. Their intersection is the solution to the system.

39
Q

Inconsistent system

A

no sulu

40
Q

Independent system

A

system of equations made up of different lines

41
Q

Solution region

A

Points that fall within the shaded region are possible solutions. For systems of inequalities, the solution region in the overlap of all the inequalities in the system.

42
Q

System of Inequalities

A

Multiple inequalities that are solved simultaneously. Essentially its an AND statement where all conditions must be met in order to create the solution region.

43
Q

FOIL

A

Multi two binomials

44
Q

A

Intersection. And. Has to be in ALL of the sets.

45
Q

A

Union. Or. Can be in either of the sets, does not have to be in all of the sets.

46
Q

Scientific notation

A

product of a number (one digit, not zero) and an integer power of 10.

47
Q

Linear

A

function with a constant slope (rate of change), to get from one term to the next you add or subtract the same amount, graphed is a straight line

48
Q

A

empty set, no elements

49
Q

Absolute Value

A

distance from zero

50
Q

Trinomial

A

polynomial made up of three terms

51
Q

Leading coefficient

A

Coefficient of the first term of a polynomial written in standard form.

52
Q

Polynomial

A

Expression or equation made up of terms added together with variables raised to non-negative integer powers, and no variables in the denominator.

53
Q

Standard form (Polynomial)

A

Polynomial written with terms in descending order of degree.

54
Q

Associative property

A

(a+b)+c=a+(b+c) for addition; and (ab)c=a(bc) for multiplication

55
Q

Base

A

t^4, t is the base

56
Q

coeffient

A

2a, 2 is the coeffient

57
Q

combine

A

+,-

58
Q

Commutative property

A

a+b=b+a for addition and ab=ba for multiplication

59
Q

Constant

A

plain number, hanging out all by itself

60
Q

Factor

A

to write product
number or letter that when multiplied with something else gives the original

61
Q

Evaluate

A

plug in a given value into a given equation to find out what the equation is equal to

62
Q

Expression

A

A collection of​ numbers, variables, operation​ symbols, and grouping symbols

63
Q

Identity

A

1 is the multiplicative identity, 0 is the additive identity

64
Q

Inequality

A

statement that compares 2 expressions and can in itself have many solutions

65
Q

Inequality symbols

A

<, >, ≤, ≥, ≠

66
Q

Inverse

A

The reciprocal is the multiplicative inverse (multiplied together to 1), the opposite sign is the addtive inverse (added together to 0)

67
Q

Irrational numbers

A

Repeating decimals: 𝞹 ≅ 3.1415…, numbers that cannot be made by dividing 2 integers. “I” is used to represent the set of all Irrational numbers.

68
Q

Natural numbers

A

Counting numbers: 1,2,3,… “N” is used to represent the set of all Natural numbers.

69
Q

Parabola

A

smile or frown. graph produced by a quadratic function

70
Q

Quadratic

A

function of degree 2, produces a parabola as a graph. can have 0, 1, or 2 solutions (and possibly imaginary ones too).

71
Q

Radical

A

√ “check mark” like symbol that indicates you are taking the root of something. If no index, its understood to be a square root.

72
Q

Rational numbers

A

fractions made with integers: 2/3 (no decimals in the fractions), repeating decimals: 0.66… , ending decimals: 0.25. “Q” is used to represent the set of all Rational numbers.

73
Q

Real numbers

A

positive or negative fractions, decimals, and whole numbers. “R” is used to represent the set of all Real numbers.

74
Q

Reciprocal

A

the reciprocal of 3 would be 1/3, the reciprocal of 2/5 would be 5/2. when a term and its reciprocal are multiplied you get 1 (the multiplicative identity)

75
Q

Root

A

opposite operation to exponents (if exponent is 2, take the square root; if exponent if 5, take the 5th root), can also refer to a solution of a quadratic

76
Q

set

A

group

77
Q

Substitute

A

replace with an equivalent

78
Q

Term

A

collection of numbers and variables that are kept together by multiplication

79
Q

Variable

A

the unknowns, letters, can be used to represent anything

80
Q

x-intercept

A

96 of 121 rows displayed
point where a line crosses the x-axis. the y-value is equal to zero.

81
Q

Parallel

A

lines with the same slope, will never intersect one another

82
Q

dilation

A

strech or compression

83
Q

A

symbol used to mean “Real numbers”

84
Q

Additive inverse

A

Numbers that add up at zero are said to be additive inverses of each other.

85
Q

Perpendicular

A

lines that intersect at a 90 degree angle, their slopes are negative reciprocals of each other

86
Q

Difference of 2 Squares

A

Binomial made up of 2 perfect squares, where one term is positive and the other is negetive.

87
Q

Difference of Cubes

A

Binomial made up of 2 perfect cubes, where one term is positive and the other is negative.

88
Q

Perfect square trinomial

A

Trinomial that results from squaring a binomial.

89
Q

Sum of Cubes

A

Binomial made up of 2 perfect cubes, where both terms are positive.

90
Q

translation

A

slide, can be vertical or horizontal

91
Q

Vertical line test

A

test used to determine if a graph is a function or not. If any vertical line drawn crosses more than once, then it is NOT a function.