Every Math Formula On The ASVAB Flashcards

(60 cards)

1
Q

What is the Percent Formula?

A

Percent = (Part /whole) × 100

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2
Q

How do you calculate Part using the Percent Formula?

A

Part = (Percent /100) x Whole

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3
Q

What is the formula for Distance in terms of Rate and Time?

A

Distance = Rate × Time

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4
Q

How do you calculate Rate using the Distance formula?

A

Rate = Distance / Time

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5
Q

How do you calculate Time using the Distance formula?

A

Time = Distance / Rate

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6
Q

What is the general form of a proportion?

A

a / b = c / d

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7
Q

How do you calculate Unit Rate?

A

Unit Rate = Total Quantity / Units

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8
Q

What is the formula for Average (Mean)?

A

Average = Sum of terms / Number of terms

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9
Q

How do you solve for a variable?

A

Isolate the variable using inverse operations.

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10
Q

What is the Distributive Property?

A

a(b+c) = ab + ac

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11
Q

What is the rule for multiplying exponents with the same base?

A

am.an = am+n

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12
Q

What is the rule for dividing exponents with the same base?

A

a^m / a^n = a^(m-n)

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13
Q

What is the rule for raising a power to a power?

A

(a^m)^n = a^(mn)

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14
Q

What is the value of a^0?

A

a^0 = 1

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15
Q

What is the value of a^(-n)?

A

a^(-n) = 1 / a^n

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16
Q

What is the square root rule?

A

√(a^2) = a

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17
Q

What is the quadratic expansion for a perfect square?

A

(a + b)^2 = a^2 + 2ab + b^2

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18
Q

What is the perimeter formula for a square?

A

P = 4s

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19
Q

What is the perimeter formula for a rectangle?

A

P = 2l + 2w

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20
Q

What is the perimeter formula for a triangle?

A

P = a + b + c

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21
Q

What is the circumference formula for a circle?

A

C = 2πr

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22
Q

What is the area formula for a square?

A

A = s²

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23
Q

What is the area formula for a rectangle?

A

A = l × w

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24
Q

What is the area formula for a triangle?

A

A = 1/2 × b × h

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25
What is the area formula for a trapezoid?
A = 1/2 × (b₁ + b₂) × h
26
What is the area formula for a circle?
A = πr²
27
What is the volume formula for a cube?
V = s³
28
What is the volume formula for a rectangular prism?
V = l × w × h
29
What is the volume formula for a cylinder?
V = πr²h
30
What is the surface area formula for a cube?
SA = 6s²
31
Circumference of a Circle
C = 2mr
32
Area of a Square
A = ?
33
Area of a Rectangle
A = 1 × w
34
Area of a Triangle
A = 1 x 6 x h
35
Area of a Trapezoid
A = 2(6, + 62)2
36
Area of a Circle
A = mr2
37
Volume of a Cube
V = g3
38
Volume of a Rectangular Prism
V = 1 x w x h
39
Volume of a Cylinder
V = mr2h
40
Surface Area of a Cube
SA = 6s2
41
Surface Area of a Rectangular Prism
SA = 2lw + 2lh + 2wh
42
Pythagorean Theorem (Right Triangle)
a2 + 62 = 02
43
What is the formula for probability?
P(event) = Favorable outcomes / Total outcomes
44
What is the median in a data set?
The middle number when the data is ordered.
45
What is the mode in a data set?
The most frequent number.
46
How do you calculate the range of a data set?
Range = Max - Min
47
What is the formula for Work Rate?
Work Rate = Work / Time
48
What is the formula for Combined Work Rate?
Combined Work Rate = Work Rate 1 + Work Rate 2 + ...
49
What is the formula for Simple Interest?
I = P * r * t ## Footnote Where I = interest, P = principal, r = rate (as a decimal), t = time (in years)
50
How do you convert a ratio to a fraction?
3:4 = 3/4
51
How many inches are in a foot?
12 inches = 1 foot
52
How many feet are in a yard?
3 feet = 1 yard
53
How many feet are in a mile?
1 mile = 5,280 feet
54
How many ounces are in a gallon?
1 gallon = 128 ounces
55
How many ounces are in a quart?
1 quart = 32 ounces
56
How many ounces are in a pound?
16 ounces = 1 pound
57
How many pounds are in a ton?
2,000 pounds = 1 ton
58
How many seconds are in a minute?
60 seconds = 1 minute
59
How many minutes are in an hour?
60 minutes = 1 hour
60
How many hours are in a day?
24 hours = 1 day