Formulas Flashcards
To convert Fahrenheit to Celsius
Subtract 32 multiply by .5556
To convert Celsius to Fahrenheit
Multiply by 1.8 then add 32
1 ounce equals how many table spoons or ml
2 tbl or 30 ml
Teaspoon =
5ml
Tablespoon = (3) options
3 teaspoons, 1/2 ounce, or 15 ml
1 ounce = (2) options
2 tablespoon or 30 ML
1/4 cup = (3) options
4 tbl, 2 oz, 60 ml
1/2 cup =
8 tbl, 4 oz, 120 ml
1 cup = (3) options
16 tbl, 8 oz, 240 ml
1 pint = (4) options
2 cups, 16 oz, 480 ml, 1/2 quart
1 quart = (4)
2 pints, 4 cups, 32 oz, 950 ml
1 gallon = (4)
4 quarts, 8 pints, 16 cups, 128 oz
1 ounce equals about how many milliliters
30 milliliters in an ounce
29.57
Formula to convert lbs to kilos
Convert 10 lbs to kilos
Divide lbs by 2.205
Exp
10 ÷ 2.2 = 4.454545
Formula to convert kilos into lbs
10 kilos is how many lbs
Kilo x 2.2 = lbs
10 kilos X 2.2 = 22 lbs
Formula to convert miles into kilometers
1 mile = how many kilometers
Miles x 1.6 = kilometer
1 x 1.6 = 1.6 kilometers
Formula to convert kilómetros to miles
50 kilómetros is how many miles
kilómetros ÷ 1.6 = Miles
50 kilómetros ÷ 1.6 = 31.06 miles
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Mnemonic for metric system.
Which is longer a mile or a kilometer?
Mile is longer
1 mile = 1.6 kilómetros
Feet in a mile
5280
Formula for the perimeter of a square
4 x side = Perimeter
Formula for area of a rectangle
Length X Width
Formula for Circumference of a circle
C = 3.14 × Diameter
What is the difference between radius, circumference, diameter
Radius = half way across the middle/ half the diameter
Circumference = A line around the perimeter of the circle
Diameter = a straight line through the center of a circle
Formula for area of a square
A = s² (s = side of the square)
Formula for area of a circle
A = 3.14 × r² (r = radius)
Formula for the volume of a box
V = lwh
Volume = length × width × height
Surface area for a cylinder
(May not need this)
S = 2×3.14×r² + 2×3.14×r×h
Perimeter for a rectangle
P= 2l + 2w
Perimeter = 2 × length + 2 × width
Pythagorean theorem and what it’s used for
a² + b² = c² on a Right triangle
Used to determine if a triangle is a “Right Triangle “
Used to determine length of missing length of Right Triangle
Volume of a Sphere
(I don’t think you need to memorize this)
V = 4/3 × 3.14 × r³
Formula for area of a triangle
A= .5 × b × h
Area = .5 x base x height
Formula for volume of a cylinder
V= 3.14 × r² x h
Formula for Volume of a cone.
(May not need to memorize)
V = 1/3 × 3.14× r² × h
Volume = .333 × 3.14 × radius²× height
Surface area fórmula
2 × (L × W)
+ 2 × (L × H)
+ 2 × (W × H)
——————–
Surface area
Formula to convert inches to centimeters
Inches × 2.54 = cm
Formula to convert centimeters to inches
C ÷ 2.54 = inches
Sum of angles on a triangle
180°
Formual for sum of interior angles on a polygon
(n - 2) 180 = Sum of interior angles of a polygon
Sum of exterior angles of a polygon
360°
What do you need to calculate Slope “m”
2 ordered pairs (0,2) (7, 14)
Formula
m = y² - y¹
———–
x² - x¹
In an ordered pair which is the “x” value and which is the “y” value
(0,10)
0 = x value
10 = y value
Again, which is the vertical and which is the horizontal axis on a grid?
Vertical = Y
Horizontal = X
Which is the dependent/ Independent variable on a graph
X or Horizontal axis: Independent
Y or Vertical axis: Dependent
In a slope which is the “x” value and which is the “y”
Exp. 1/2
1 is the Y
2 is the X
What is the formula for Slope Intercept Form?
Y = mx + b
Y: Point on the Graph
M: Slope, 1/2 “Rise over Run”
b: Y Intercept
1 meter equals how many feet
3.28
How many quarts in a liter
1.06 quarts in a liter
How many grams per ounce
28.3 grams per ounce
How many liters in a Gallon
3.79 Liters in a Gallon
Area for a regular polygon
A = 1/2 a × p
a= Apothem = Distance from center to one of the sides
p = perimeter
A regular decagon has a side length of 12 inches and an apothem of 6 inches. Find area
360in²
A = .5a × P
a = Apothem
Hypotenuse
Longest side of a right triangle
What is the coordinate plane
2D number line used to display ordered pairs
What is a Chord in a circle?
A line with 2 end points on the circle
What is the formula for sector area
To find the area for a slice of pizza prehaps
A = 3.14×r²×(Angle / 360)
Area of a parallelogram.
What is a parallelogram
A = bh (base × height)
a four-sided plane rectilinear figure with opposite sides parallel
Any 2 angles that combine to create a right angle is called
Complementary
Two angles that combine to create a Straight Angle 180⁰
Supplementary
An angle that measures 180⁰ is called
90⁰
Straight angle
Right angle
Lines that point in the same direction are called
Parallel
_____ is part of a circle and drawn between two lines in an angle
Arc
When intersecting lines all form equal angles its called
Perpendicular
What kind of lines form right angles
Perpendicular
Types of triangles by Angle
Types of triangles by side length
Acute less than 90⁰
Right 90⁰
Obtuse more than 90⁰
Scalene = No equal side
Isosceles = 2 equal sides
Equilateral = All the same length
All triangles contain (atleast) 2 acute angles
True or False
True
In inequalities what does a closed circle mean?
An open circle?
Closed: equal to or less than / equal to or great than
Open circle: Greater than or less than
When do we flip the inequalities sign?
When we multiply or Divide by a negative number
How to find circumference from area in a circle
Dived area by 3.14
Find square root of this number
This equals the radius.
Double the radius
Multiply it by 3.14
Whole numbers contain “0”
True or False
True
What kind of data distribution most of the data (numbers) falls in the center.
Normal
Probability formula
Probability = number of past successes ÷ total number of past attempts
Quantitative vs qualitative
Quantitative = numbers
Qualitative =description
What is the communicative property
Addition and multiplication numbers can be switched without changing the answer
How many square centimeters in a square meter
10,000
To find the original price
Exp. An object is 40% off and you pay 42$ how much is the original product price?
Think: if the price is reduced by 40% the customer is paying 60% of the original
Step up a proportion
60 42
----- = -----
100 x
Cross multiple for awnser: 70
42.8 kg is divided into a ratio of 7 : 2 how many kgs is the smaller share
Add 2 + 7 together to give the whole
2/9 & 7/9
42.8 × 2/9 = portion of smaller share
Answer: 9.51
A rectangular piece of paper measures 52 by 38 cm.
How many 5 x 5 squares can you get from this paper?
70
7 Squares along the 38 side
10 along the 50 side
A tank is 12 cm high with a square base. Its sides are 10 cm. What is the volume of the tank?
1200cm³
When is the FOIL method used in math. Give an example
When multiplying Binomials
(12x + 7) (7x -12)
1 cc is equivalent to what?
1 mL
What is a bimodal distribution in a graph?
The prefix bi means two, soa graph with two peaksis called bimodal
What is this type of graph called
____________
/
/
/
/
/
/
Plateau
The direction of skew refers to the low or longer end of the distribution.
Exp.
Right skewed will have a long “tail” towards the right side.
True
1 square yard equals how many square feet?
9 square feet
Left tailed skewed is aka positive skewed
Right tailed skewed is aka negative skewed
True or false
Both false
Left tailed skewed is negative skewed
Right tailed skewed is positive
84.5 dam to mm
845,000
.56 dL to hl
.00056 hL
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Metric units
1 yd² = how many ft²
9
1 yd × 1 yd = 1yd²
3ft × 3ft = 9ft²
81 square yards to square feet
729
1 yd² = 9ft²
1 ft squared = how many inches squared?
144 in²
Why?
12in × 12in = 144in²
81 square yards to square inches
104,976
Why
1 yd² = 9ft²
1ft² = 12in × 12in = 144in²
1 cubic yard = how many cubic feet?
27³
1yd × 1yd × 1yd = 1yd³
3ft × 3ft × 3ft = 27ft³
2 cubic yards to cubic feet?
54
1yd × 1yd × 1yd = 1yd³
3ft × 3ft × 3ft= 27ft³
27ft³ × 2 = 54ft³
It take a bus 2 hrs to travel between Detroit and New York at 60 mph.
If the bus averaged 50 mph on the return how long did it take?
2hrs 24 minutes
60 mi × 2 hrs = 120 mi
120 mi ÷ 50 minutes = 2.4 hrs
.4 × 60(mins) = 24 minutes
Fahrenheit to Celsius conversion
C = (F - 32) × 5/9
Fahrenheit from Celsius conversion
F = C × 9/5 + 32
On a triangle the area for formula is Base × Height ÷ 2 =
But, a triangle has 3 sides which are the base and the Height?
Base & Height are Not the hypotinuse (the longest side)
A ________ is any positive number that does not include a fractional or decimal part. 0 is also a number in this series
Whole number
________ is a whole number (not a fractional number) that can be positive, negative, or zero. Examples are: -5, 1, 5, 8, 97, and 3,043.
Integer
a _________ is a type of real number, which is in the form of p/q where q is not equal to zero. Any fraction with non-zero denominators is a rational number
This number will repeat or stop
2.222222… or 2.715
Rational number
______ are real numbers that cannot be represented as simple fractions.
They do not repeat and they do not end.
Pie is an example of this type of number
Irrational number
_________ arenumbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc.,
Basically everything but imaginary numbers.
Real numbers
___________ are defined as the square root of the negative numbers where it does not have a definite value.
Imaginary numbers
**Use this Formula****
Celsius from Fahrenheit
5/9 × (F-32)
**Use this Formula***
Fahrenheit from Celsius
F = 9/5 × C + 32
1 FL oz = how many ml?
29.57
1 liter = how many gallons
.2642
Formula of a trapezoid
H÷2 × (b¹+ b²)
Surface area of a cube
A = 6 x e²
e= edge
Volume of a cube formula
V = a³
A= edge
Surface area of a cube formula
A=6a²
Gabby bought a mattress at a sale price of 26$. The original price was 65$. What was the discount rate?
60%
To find the discount rate find the discount (65-26 = 39) then cross multiply
X/100 39/65
A patients heart rate dropped 30% to 63 bpm. What is the original heart rate?
90
Consider, Original heart rate is 100%
100% - 30% = 70%
Then, 63 is 70% of what number.
70 63
– —
100 ×
-2x > 14
—
Is X greater or less than -7
Less than
When we multiply or divide inequalities by a negative number we switch the direction of the sign
C to F formula
(C x 1.8) + 32 = F
Fahrenheit to Celsius formula
(F - 32) x .55 = C
9 b
- = -
b 4
6
Cross multiply
9 × 4 = b × b
36 = b²
Square Root of 36 = b
6 = b
When most of the values in a Data Distribution are on the Right Side we call it (Positive/ Negative) Skewed
When most of the values in a Data Distribution are on the left side we call it (Positive/ Negative) skewed?
Most values Right Side = Negative
Most values Left Side = Positive
Area of a Square
A = a²
a = 1 side
A tank is 12 cm high with a square base. It’s sides are 10 cm wide. What is the volume in cubic centimeters
1200
Volume = length × width × height
A map has the scale of 4cm to 1km.
What is the actual area on the ground which is represented as an area of 60² on the map.
First rewrite as units squared
4²cm = 16 cm²
1²km = 1 km²
Set up a Cross multiple
16cm² 60cm²
— = —-
1km² x km²
3.75 km²
To convert Oz to Milliliters
Multiply Oz by 30
Exp.
48oz × 30= 1440
