Quant Terms Flashcards
(119 cards)
1
Q
Exterior angles of a polygon add up to…
A
360 degrees
2
Q
Sum of any two sides of a triangle…
A
is greater than the third side
3
Q
A triangle’s exterior angle =
A
The sum of the two other interior angles
4
Q
When a line intersects two parallel lines, the four angles of each parallel line…
A
equal one another
5
Q
Isosceles triangle
A
Two angles and two sides are equal
6
Q
Pythagorean triples
A
3:4:5
5:12:13
7
Q
The sides of a 45, 45, 90 degree triangle are…
A
x (opposite 45 degree angle)
x (opposite 45 degree angle)
x√2 (opposite 90 degree angle)
8
Q
The sides of a 30, 60, 90 degree triangle are…
A
x (opposite 30 degree angle)
x√3 (opposite 60 degree angle)
2x (opposite 90 degree angle)
9
Q
Speed =
A
distance / time
10
Q
% increase =
A
[(new amount - original amount) / original amount] * 100%
11
Q
% decrease =
A
[(original amount - new amount) / original amount] * 100%
12
Q
x% of y =
A
y% of x
13
Q
Is 0 even or odd?
A
even
14
Q
Is 1 prime?
A
no
15
Q
What is the lowest prime number?
A
2
16
Q
What is the only even prime number?
A
2
17
Q
Slope =
A
rise / run = (y2 - y1) / (x2 - x1)
18
Q
y = mx + b
A
m = slope
b = y-intercept
19
Q
|-x| =
A
|x|
20
Q
Circle arc length =
A
circumference * (arc angle / 360 degrees)
or
circumference * (area of sector / area of circle)
21
Q
Angle of a circle arc =
A
360 degrees * (arc length / circumference)
or
360 degrees * (area of sector / area of circle)
22
Q
Area of sector of a circle =
A
(πr^2) * (arc angle / 360 degrees)
or
(πr^2) * (arc length / circumference)
23
Q
Rate =
A
quantity of a / quantity of b
24
Q
sum of interior angles of a quadrilateral =
A
360 degrees
25
Area of a parallelogram =
base * height
26
Area of a trapezoid =
A = 0.5 * (base1 + base2) * height
27
Volume of a cylinder =
πr^2 * h
28
Surface area of a cylinder =
2πr^2 + 2πrh
29
Surface area of a rectangle =
2(lw * lh * wh)
30
Combined work formulas =
T = (AB) / (A + B)
or
1/T = 1/A + 1/B + 1/C ...
31
a^b * a^c =
a^(b+c)
32
(a^b) / (a^c) =
a^(b-c)
33
a^c * b^c =
(ab)^c
34
(a^b)^c =
a^(bc)
35
a^0 =
1
36
0^0 =
undefined
37
a^-b =
1/(a^b)
38
If a^2 = 16, a =
+/- 4
39
If a = √16, a =
4
40
r√s * t√u =
rt√su
41
(a√b)/(c√d) =
(a/c) * √(b/d)
42
a^(b/c) =
c^√a^b
43
a√b + c√b =
(a+c)√b
44
a√b - c√b =
(a-c)√b
45
odd +- odd =
even
46
even +- even =
even
47
odd +- even =
odd
48
odd * odd =
odd
49
even * even =
even
50
odd * even =
even
51
Is 0 positive, negative, or neither?
neither
52
Is 0 odd, even, or neither?
even
53
A negative number raised to an even integer must be
positive
54
A negative number raised to an odd integer must be
negative
55
A factor is
an integer that divides evenly into another integer
(another name for it is divisor)
56
A multiple is
the result of multiplying an integer by another integer
57
If you multiply or divide both sides of an inequality by a negative value
you must flip the inequality sign
58
The absolute value of a number is
its distance from 0 on a number line
59
The absolute value of a number is always
positive
60
0 has an absolute value of
0
61
To determine the value of a variable in an absolute value problem
1. isolate the values inside the absolute value sign entirely on one side of the equation
2. drop the absolute value sign and create 2 equations
2a. one where the values on the other side of the equation are positive
2b. one where the values on the other side of the equation are negative (if it is an inequality, either make the absolute value side negative OR make the other side negative AND flip the inequality sign)
62
1
(in percent and decimal)
100%
1.0
63
1/2
(in percent and decimal)
50%
0.5
64
1/3
(in percent and decimal)
33.3%
0.33
65
1/4
(in percent and decimal)
25%
0.25
66
1/5
(in percent and decimal)
20%
0.2
67
1/6
(in percent and decimal)
16.6%
0.166
68
1/8
(in percent and decimal)
12.5%
0.125
69
1/10
(in percent and decimal)
10%
0.1
70
1/12
(in percent and decimal)
8.3%
0.083
71
Percent formula =
(part / whole) * 100%
72
Average formula =
sum of terms / number of terms
73
Weighted average
multiply each value by its frequency to determine the sum of values and divide the sum of values by the number of values to get the weighted average
74
Weighted average as percents
multiply each value by its corresponding percent, then add the resulting values to get the weighted average
75
Median
middle number in a row of ordered numbers
76
Mode
number that appears the most
77
Range
greatest value - least value
(always positive)
78
Probability formula =
desired outcomes / total possible outcomes
79
Probability keywords:
"or" =
"and" =
"or" = add
"and" = multiply
80
Normal distribution chart - area under the curve
mean to +1 SD above the mean = 34.1% of data
+1 to +2 SDs above the mean = 13.6% of data
+2 to +3 SDs above the mean = 2.1% of data
+3 SDs above the mean = 0.1% of data
81
Overlapping set =
group a + group b - both + neither
82
P(A or B) =
P(A) + P(B) - P(A and B)
83
Sum of the measure of the interior angles of a polygon =
(n-2) * 180
84
Q1 =
median of bottom half of data set
85
Q2 =
median of data set
86
Q3 =
median of top half of data set
87
Interquartile range =
Q3 - Q1
88
Sum of a sequence of consecutive integers =
average * number of terms
89
Average of a sequence of consecutive integers =
(smallest value + largest value) / 2
90
Simple interest formulas =
V = P(1 + rt)
or
interest = Prt
P = principal
V = value of investment
r = rate
t = time
91
Compound interest formula =
V = P(1 + r)^t
P = principal
V = value of investment
r = rate
t = time
92
When all the values in a set are increased or decreased by the same value (addition/subtraction), the standard deviation...
stays the same
93
When all the values in a set are multiplied/divided by the same value, the standard deviation...
is multiplied/divided by that same value
94
What is the mode when every term appears with equal frequency in the set?
there is no mode
95
Can there be multiple modes in a set?
yes
96
How to determine where two lines intersect?
determine each line's equation using y=mx+b and then set them equal to each other to calculate the value of x, then plug the x value into one of the line equations to solve for y
97
If the perimeter of two regular figures is equal...
then the figure with the greater number of sides has a larger area, with a circle having the largest possible area for a given perimeter
98
The area of any square can be found by...
squaring the length of the square's diagonal and dividing by 2
99
If x/y = ____ R z, then...
y needs to be greater than z
100
The mean of a sequence of consecutive integers is also...
the median
101
If a right triangle is inscribed in a circle, then the triangle's hypotenuse is...
the circle's diameter
102
Congruent triangles have...
the same angle measures and the same side lengths
103
Similar triangles have...
the same angle measures and their sides are proportional, but not necessarily equal
104
Work =
Rate * Time
105
Two lines are perpendicular if their slopes are...
negative reciprocals
106
Two lines are parallel if their slopes are...
equal
107
When a value is normally distributed, there is a higher probability of the value being closer to the ________ than further away from it, regardless of the ________
mean
standard deviation
108
When using the Picking Numbers strategy, you have to go through...
all the answers, because it is possible that more than one answer choice will work with the numbers you've picked, in which case you would need to use a second set of numbers
109
To calculate the median of a set with an even number of terms...
calculate the average of the two middle terms of the set (add them and divide by 2)
110
If a triangle is inscribed in a circle and the triangle's hypotenuse is the circle's diameter, then...
the triangle is a right triangle
111
A number can only be brought out of a square root if...
it is a perfect square that has been factored out
112
The median of a sequence of consecutive integers is also...
the mean
113
When a question talks about moving decimal places, use...
exponent / exponent rules
114
x^2 - y^2 =
(x+y)(x-y)
115
(x+y)^2 =
x^2 + 2xy + y^2
116
(x-y)^2 =
x^2 - 2xy + y^2
117
In a triangle, a larger angle will have a _______ side compared to a smaller angle.
longer
118
When given two sides of a triangle and asked for all possible values of the third side...
add the two given values to find the upper border and subtract the two given values to find the lower border. The possible values of the third side are any value in the found range, not including the border values.
119
Pythagorean triples can be ____________ to create other triangle side lengths because they are ___________.
- multiplied
- ratios
