√𝑎𝑏 = √𝑎√b

Multiplication Property of Square Roots

√𝑎/𝑏 = √𝑎/√b

Division Property of Square Roots

increasing function (up left to right)

-f(x1) less than f (x2) y1 less than y2

far left or far right of the graph. Up left to right

Numbers without decimal, negative only

Numbers without decimal, both positive and negative

the intersection of the lines, usually a point

solution of a system linear equation

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College Alegbra Vocabulary

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A#College Algebra Vocabulary study for Mr. Walston's final. Ballard High School

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Questions 118

Answers

1
the sum and difference of two terms
Radical
Literal equation
Conjugate
roots, zeros, x-intercepts
2
Numbers without decimal evenly divisible by 2
Mean
Odd Integers
Prime
Even Integers
3
the opposite mathematical operation
solution
slope
word problem
inverse
4
√𝑎𝑏 = √𝑎√b
Division Property of Square Roots
Multiplication Property of Square Roots
Like radicals
Rationalizing the denominator
5
Multiplication
Product
Property of Negative Exponents
Exponent
Multiplication Property of Exponents
6
An expression in words
Verbal
Mixed Fraction
Even Integers
Improper Fraction
7
A fraction turned upside down numerator become denominator and denominator becomes numerator
Mean
Exponents
Reciprocal
Composites
8
Numbers are to the right on the number line and include the stated number
Greater than or equal to
Improper Fraction
Less than
Greater than
9
An expression consisting of sums and/or products of numbers and variables
ordered pair
axis of symmetry
Algebraic expression
identity
10
a symbol used to represent an unspecified number or value; any letter may be used as a variable
Pythagorean theorem
factor and product
slope
variable
11
An integer that will divide evenly into a number
Composites
Factors
Distribution Property
Markup
12
2 points equidistant from zero
Real number part
Literal equation
Imaginary unit
Absolute Value
13
Integers whose factors when summed up equal the number
Numerator
Perfect Numbers
Common Denominator
Median
14
Amount added to cost to cover overhead and profit
Factors
Markup
Equivalent Fraction
Base
15
a system that has no solution
inconsistent
consistent solution
parallel
consecutive
16
Numbers are to the left on the number line and include the stated numbers.
Greater than
Mixed Fraction
Less than or equal to
Power Property of Exponents
17
The factor IMMEDIATELY before the exponent
Multiplication Property of Exponents
Googleplex
Division Property of Exponents
Base
18
Combination of numbers, variables, and operators
Multiple
Expression
Even Integers
Whole Numbers
19
(𝑎𝑏)𝑛 = 𝑎𝑛𝑏n
Zero Property of Exponents
Property of Negative Exponents
Product Property of Exponents
Quotient Property of exponents
20
√𝑎/𝑏 = √𝑎/√b
Multiplication Property of Square Roots
Rationalizing the denominator
Complex number
Division Property of Square Roots
21
the 2nd number of an ordered pair
ordered pair
y-coordinate
algebraic expression
x-coordinate
22
quadrant 3
positive x, positive y
negative x, negative y
positive x, negative y
negative x, positive y
23
Top part of a fraction above the line
Equivalent Fraction
Numerator
Composites
Median
24
quadrant 2
positive x, negative y
negative, negative y
negative x, positive y
positive x, positive y
25
in a multiplication expression, the quantities being multiplied are factors, the result product
exponent
product
factor and product
factor
26
Distribution Property
a(b + c ) = 𝑎𝑏 + 𝑎c
√𝑎/𝑏 = √𝑎/√b
(𝑎𝑏)𝑛 = 𝑎𝑛𝑏n
𝑏−𝑎 = 1 𝑏𝑎 or 1 𝑏−𝑎 = 𝑏a
27
increasing function (up left to right)
f(x1)=f(x2) y1=y2
-f(x1) less than f (x2) y1 less than y2
f(x1) greater than f (x2) y1 greater than y2
f(-x1)=f(x) for all x in the domain
28
Move the base to the opposite part of the fraction, exponent becomes positive
Imaginary unit
Multiplication Property of Square Roots
Property of Negative Exponents
Power Property of Exponents
29
Bottom part of a fraction below the line
Base
Prime
Denominator
Reciprocal
30
Division
Rationalizing the denominator
Quotient
zero product property
Division Property of Square Roots
31
Integers that are NOT prime
Composites
Reciprocal
Perfect Numbers
Improper Fraction
32
a pair of numbers used to locate a point on a coordinate plane
inverse
ordered pair
y-coordinate
coordinate plane
33
Add up the numbers and divide the sum by the count of the numbers you have added up
Mode
Mean
Mixed Fraction
Range
34
Subtraction
Improper Fraction
Difference
Factors
Median
35
deviation from the horizontal, deviation of change
vertical
slope
circle
parabola
36
no breaks (can be drawn without lifting your pencil)
constant function
slope
continuous
intersection
37
end behavior
far left or far right of the graph. Up left to right
-f(x1)less than f(x2) y1 less than y2
represented by "["
represented by "("
38
Negative Integers
Bottom part of a fraction (below the line)
Top part of a fraction (above the line)
Numbers without decimal, negative only
Number(s) that appear Most Often
39
Portion of 100
Discount
Percent
Distribution Property
Composites
40
Imaginary number that has no real number part
Literal equation
Conjugates
Pure imaginary Number
solutions
41
Zero Property of Exponent
𝑎0 = 6
( 𝑎/𝑏 )𝑛 = 𝑎𝑛/bn
(𝑎𝑏)𝑛 = 𝑎𝑛𝑏n
𝑎0 = 1
42
highest or lowest point of the graph
inverse
end behavior
vertex(parabola)
smooth
43
Integers
Numbers are to the left on the number line stated numbers.
Expression in symbols for operations
Combination of numbers, variables, and operators
Numbers without decimal, both positive and negative
44
a solution that has infinite solution. Usually always true or equal to
factor and product
variable
identity
term
45
nothing in common same slope. ("tilt" is the same)
parallel
horizontal
ordered pair
slope
46
vertex of a parabola that opens downwards
less than
maximum
greater than
minimum
47
quadrant 4
positive x, negative y
negative x, positive y
positive x, positive y
negative x, negative y
48
the intersection of the lines, usually a point
intersect
perpendicular
parallel
solution of a system linear equation
49
the ordered pair representing the x and y values that make an equation true
solutions
Absolute Value
Conjugates
Literal equation
50
Middle number
Power Property of Exponents
Base
Mode
Median
51
sets have in common
Intersection
inverse
Union
smooth
52
to the right(or up) on the number line
less than or equal to
greater than or equal to
less than
greater than
53
Subtract the exponents
Rationalizing the denominator
Division Property of Exponents
Division Property of Square Roots
Division
54
Numbers are to the left on the number line
Denominator
Improper Fraction
Common Denominator
Less than
55
number IS included. Minimum represented by "[". Maximum represented "]"
even function
continuous
open interval
closed interval
56
Removing a radical from the denominator of a fraction
2 points equidistant from zero
Rationalizing the denominator
Complex number
factor
57
The amount paid to a governmental agency to fund projects for the population
Conjugate
Tax
Math equation
Like radicals
58
(𝑎𝑚)𝑛 = 𝑎𝑚n
Division Property of Square Roots
Zero Property of Exponents
Power Property of Exponents
Multiplication Property of Square Roots
59
an element that can be multiplied together to get another element
solutions
imaginary part
factor
Absolute Value
60
Integers that products form another number
Perfect Numbers
Multiple
Numerator
Common Denominator
61
a point on a coordinate plane the 1st number of an ordered pair
cartesian plane
x-coordinate
coordinate plane
y-coordinate
62
2 quotients that are divided by the same number
Mode
Common Denominator
Greater than
Prime
63
A fraction where the numerator is greater than the denominator
Improper Fraction
Distribution Property
Markup
Range
64
Numbers that appear Most Often
Denominator
Property of Negative Exponents
Mode
Equivalent Fraction
65
only rounded curves (no sharp corners)
continuous
variable
smooth
maximum
66
Addition
Composites
Sum
Greater than or equal to
Mode
67
constant function
f(x1)=f(x2) y1=y2
-f(x1) less than f (x2) y1 less than y2
f(-x)=f(x)
f(-x)=f(x) nothing changes
68
What is the definition of Whole Numbers?
The number of times the base is repeated x.
a(b + c) = ab + ac
Move the base to the opposite part of the fraction, positive
Numbers without decimal, positive only
69
Numbers without decimal, NOT divisible by 2
Odd Integers
Factors
Sum
Bottom part of a fraction (below the line)
70
number is NOT included minimum represented by "(" maximum represented by ")"
increasing function
union
open interval
closed interval
71
total collection of all sets
smooth
increasing function
odd function
union
72
d= √(x2-x1)2+(y2-y1)2
prime
distance formula
slope formula
Pythagorean theroem
73
An expression containing both a radical symbol and a radicand
Like radicals
Division Property of Square Roots
Radicand
Radical
74
𝑎𝑚 × 𝑎𝑛 = 𝑎𝑚+n
Multiplication Property of Exponents
Division Property ofExponents
Multiplication Property of Square Roots
Quotient Property of exponent
75
𝑎𝑚/𝑎𝑛 = 𝑎𝑚−n
Complex number
Imaginary part
Division Property of Exponents
Quotient Property of exponents
76
Repeated Multiplication
Exponents
Radicand
Radical
Pokemon
77
Positive Integers
The same as whole numbers
Numbers are to the right on the number line
Numbers are to the left on the number line
Numbers without decimal, NOT divisible by 2
78
odd function ( for all x in the domain, everything changes)
-f(x1) less than f(x2) y1 less than y2
f(-x)=f(x) nothing changes
f(x) greater than f(x2) y1 greather than y2
f(-x)=f(x)
79
Part of a complex number represented by “𝑏𝑖”
Imaginary part
Real number part
roots, zeros, x-intercepts
Literal equation
80
The number of times the base is repeated in a repeated multiplication
Exponent
Zero Property of Exponents
Product Property of Exponents
Property of Negative Exponents
81
synonym for solutions
Conjugates
Absolute Value
Pure imaginary Number
roots, zeros, x-intercepts
82
a number variable, or product or quotient of numbers and variables
vertex(parabola)
inconsistent
term
inverse
83
Multiply the exponents
Power Property of Exponents
Radical
Quotient Property of exponents
Conjugate
84
A fraction represented by both a whole number and a decimal portion
Common Denominator
Multiplication Property of exponents
Mixed Fraction
Reciprocal
85
The expression under a radical symbol
Google
Conjugate
Radicand
Rationalizing the denominator
86
Term having the same radicand and the same root
Complex number
factor
Like radicals
Conjugate
87
Any base raised to the zero power is 1.
Zero Property of Exponents
Division Property of Square Roots
Rationalizing the denominator
Power Property of Exponents
88
(𝑎 𝑏) 𝑛 = 𝑎𝑛/𝑏n
Pure imaginary Number
Power Property of Exponents
Multiplication Property of Square Roots
Quotient Property of exponents
89
Amount subtracted from the selling price to entice customers to buy your product
Discount
Discountis
Algebraic
Scooby-Doo
90
Expression in symbols for operations
Mixed Fraction
Distribution Property
Perfect Numbers
Algebraic
91
An equation with 2 or more variables
Literal equation
Pure imaginary Number
Absolute Value
Product Property of Exponents
92
Following next in line
odd function
parallel
imaginary
consecutive
93
cartesian plane
2 number lines that intersect at 90 degrees angles
nothing in common. same slope
follow next in line
the 2nd number of an ordered pair
94
A set of binomials whose only difference is the operator separating them
Complex number
imaginary part
solutions
Conjugates
95
The difference between the highest and lowest numbers.
Range
Add the exponents
solutions
Real number part
96
one point in common. Lines form right angles. Slopes are negative reciprocals
maximum
minimum
inverse
perpendicular
97
a2+b2=c2 (a square + b square = c square)
distance formula
Pythagorean theorem
exponent formula
slope formula
98
Two expressions joined together by an equal (“=”) sign
Percent
equal to
equal
Equality
99
𝑏−𝑎 = 1/𝑏𝑎 or 1/𝑏−𝑎 = 𝑏a
Division Property of Square Roots
Property of Negative Exponents
Rationalizing the denominator
Radicand
100
Raise the numerator and denominator to the power and simplify.
Quotient Property of exponents
Conjugate
Product Property of Exponents
Zero Property of Exponents
101
a collection of 2 or more equations involving the same variables
system of equation
slope
conjugate
square root
102
Different fractions that name the same amount
Factors
Equivalent Fraction
Multiple
Composites
103
Raise each factor to the power and multiply
Product Property of Exponents
Multiplication Property of Square Roots
Radicand
Quotient Property of exponents
104
Numbers are to the right on the number line
Greater than
Reciprocal
Distribution Property
Less than
105
even function (for all x in the domain. Nothing changes)
f(-x)=f(x) everything changes
f(x1)=f(x2) y1=y2
f(x1) greater than f (x2) y1 l greater than y2
f(-x)=f(x)
106
quadrant 1
positive x, positive y
negative x, positive y
negative x, negative y
positive x, negative y
107
vertex of a parabola that opens upward
minimum
union
continuous
closed interval
108
Add the exponents
Product Property of Exponents
Multiplication Property of exponents
Property of Negative Exponents
Power Property of Exponents
109
a line through a shape so that each side is a mirror image
intersection
axis of symmetry
closed interval
open interval
110
Part of a complex number represented by “𝑎”
Real number part
Conjugate
Imaginary unit
Imaginary part
111
Integers that have a factor of 1 and the number only
Prime
Equivalent Fraction
Multiple
Factors
112
two lines that intersect in a single point
consistent solution
prime
intersect
intersection
113
expression of form x," the exponent is n and x is the base.
x coordinate
exponent(xn)
x and n formula
y-coordinate
114
to the left (or down) on the number line
greater than
less than or equal to
greater than or equal to
less than
115
Number represented by 𝑎 + 𝑏i
solutions
Absolute Value
Radicand
Complex number
116
𝑖 = √−1 ; where 𝑖 2 = −1
Complex number
zero product property
Literal equation
Imaginary unit
117
Decreasing function (going down left to right)
f(x1)=f(x2) y1=y2
f(-x)=f(x) for all x in the domain
f(-x)=f(x)
f(x1) greater than f(x2) y1 greater than y2
118
If I multiply factors together and the answer is zero, then one of the factors = to zero
zero product property
Division Property of Square Roots
Conjugate
Product Property of Exponents

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