# Formulas Flashcards

1
Q

To convert Fahrenheit to Celsius

A

Subtract 32 multiply by .5556

2
Q

To convert Celsius to Fahrenheit

A

Multiply by 1.8 then add 32

3
Q

1 ounce equals how many table spoons or ml

A

2 tbl or 30 ml

4
Q

Teaspoon =

A

5ml

5
Q

Tablespoon = (3) options

A

3 teaspoons, 1/2 ounce, or 15 ml

6
Q

1 ounce = (2) options

A

2 tablespoon or 30 ML

7
Q

1/4 cup = (3) options

A

4 tbl, 2 oz, 60 ml

8
Q

1/2 cup =

A

8 tbl, 4 oz, 120 ml

9
Q

1 cup = (3) options

A

16 tbl, 8 oz, 240 ml

10
Q

1 pint = (4) options

A

2 cups, 16 oz, 480 ml, 1/2 quart

11
Q

1 quart = (4)

A

2 pints, 4 cups, 32 oz, 950 ml

12
Q

1 gallon = (4)

A

4 quarts, 8 pints, 16 cups, 128 oz

13
Q

1 ounce equals about how many milliliters

A

30 milliliters in an ounce

29.57

14
Q

Formula to convert lbs to kilos

Convert 10 lbs to kilos

A

Divide lbs by 2.205

Exp

10 ÷ 2.2 = 4.454545

15
Q

Formula to convert kilos into lbs

10 kilos is how many lbs

A

Kilo x 2.2 = lbs

10 kilos X 2.2 = 22 lbs

16
Q

Formula to convert miles into kilometers

1 mile = how many kilometers

A

Miles x 1.6 = kilometer

1 x 1.6 = 1.6 kilometers

17
Q

Formula to convert kilómetros to miles

50 kilómetros is how many miles

A

kilómetros ÷ 1.6 = Miles

50 kilómetros ÷ 1.6 = 31.06 miles

18
Q

King Henry Died By Drinking Chocolate Milk

A

Mnemonic for metric system.

19
Q

Which is longer a mile or a kilometer?

A

Mile is longer

1 mile = 1.6 kilómetros

20
Q

Feet in a mile

A

5280

21
Q

Formula for the perimeter of a square

A

4 x side = Perimeter

22
Q

Formula for area of a rectangle

A

Length X Width

23
Q

Formula for Circumference of a circle

A

C = 3.14 × Diameter

24
Q

What is the difference between radius, circumference, diameter

A

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

25
Q

Formula for area of a square

A

A = s² (s = side of the square)

26
Q

Formula for area of a circle

A

A = 3.14 × r² (r = radius)

27
Q

Formula for the volume of a box

A

V = lwh

Volume = length × width × height

28
Q

Surface area for a cylinder
(May not need this)

A

S = 2×3.14×r² + 2×3.14×r×h

29
Q

Perimeter for a rectangle

A

P= 2l + 2w

Perimeter = 2 × length + 2 × width

30
Q

Pythagorean theorem and what it’s used for

A

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

31
Q

Volume of a Sphere
(I don’t think you need to memorize this)

A

V = 4/3 × 3.14 × r³

32
Q

Formula for area of a triangle

A

A= .5 × b × h

Area = .5 x base x height

33
Q

Formula for volume of a cylinder

A

V= 3.14 × r² x h

34
Q

Formula for Volume of a cone.
(May not need to memorize)

A

V = 1/3 × 3.14× r² × h

Volume = .333 × 3.14 × radius²× height

35
Q

Surface area fórmula

A

2 × (L × W)
+ 2 × (L × H)
+ 2 × (W × H)
——————–
Surface area

36
Q

Formula to convert inches to centimeters

A

Inches × 2.54 = cm

37
Q

Formula to convert centimeters to inches

A

C ÷ 2.54 = inches

38
Q

Sum of angles on a triangle

A

180°

39
Q

Formual for sum of interior angles on a polygon

A

(n - 2) 180 = Sum of interior angles of a polygon

40
Q

Sum of exterior angles of a polygon

A

360°

41
Q

What do you need to calculate Slope “m”

A

2 ordered pairs (0,2) (7, 14)

Formula

m = y² - y¹
———–
x² - x¹

42
Q

In an ordered pair which is the “x” value and which is the “y” value

(0,10)

A

0 = x value

10 = y value

43
Q

Again, which is the vertical and which is the horizontal axis on a grid?

A

Vertical = Y

Horizontal = X

44
Q

Which is the dependent/ Independent variable on a graph

A

X or Horizontal axis: Independent

Y or Vertical axis: Dependent

45
Q

In a slope which is the “x” value and which is the “y”

Exp. 1/2

A

1 is the Y

2 is the X

46
Q

What is the formula for Slope Intercept Form?

A

Y = mx + b

Y: Point on the Graph
M: Slope, 1/2 “Rise over Run”
b: Y Intercept

47
Q

1 meter equals how many feet

A

3.28

48
Q

How many quarts in a liter

A

1.06 quarts in a liter

49
Q

How many grams per ounce

A

28.3 grams per ounce

50
Q

How many liters in a Gallon

A

3.79 Liters in a Gallon

51
Q

Area for a regular polygon

A

A = 1/2 a × p

a= Apothem = Distance from center to one of the sides

p = perimeter

52
Q

A regular decagon has a side length of 12 inches and an apothem of 6 inches. Find area

A

360in²

A = .5a × P

a = Apothem

53
Q

Hypotenuse

A

Longest side of a right triangle

54
Q

What is the coordinate plane

A

2D number line used to display ordered pairs

55
Q

What is a Chord in a circle?

A

A line with 2 end points on the circle

56
Q

What is the formula for sector area

To find the area for a slice of pizza prehaps

A

A = 3.14×r²×(Angle / 360)

57
Q

Area of a parallelogram.

What is a parallelogram

A

A = bh (base × height)

a four-sided plane rectilinear figure with opposite sides parallel

58
Q

Any 2 angles that combine to create a right angle is called

A

Complementary

59
Q

Two angles that combine to create a Straight Angle 180⁰

A

Supplementary

60
Q

An angle that measures 180⁰ is called

90⁰

A

Straight angle

Right angle

61
Q

Lines that point in the same direction are called

A

Parallel

62
Q

_____ is part of a circle and drawn between two lines in an angle

A

Arc

63
Q

When intersecting lines all form equal angles its called

A

Perpendicular

64
Q

What kind of lines form right angles

A

Perpendicular

65
Q

Types of triangles by Angle

Types of triangles by side length

A

Acute less than 90⁰
Right 90⁰
Obtuse more than 90⁰

Scalene = No equal side
Isosceles = 2 equal sides
Equilateral = All the same length

66
Q

All triangles contain (atleast) 2 acute angles

`            True or False`
A

True

67
Q

In inequalities what does a closed circle mean?

An open circle?

A

Closed: equal to or less than / equal to or great than

Open circle: Greater than or less than

68
Q

When do we flip the inequalities sign?

A

When we multiply or Divide by a negative number

69
Q

How to find circumference from area in a circle

A

Dived area by 3.14

Find square root of this number

Multiply it by 3.14

70
Q

Whole numbers contain “0”

`             True or False`
A

True

71
Q

What kind of data distribution most of the data (numbers) falls in the center.

A

Normal

72
Q

Probability formula

A

Probability = number of past successes ÷ total number of past attempts

73
Q

Quantitative vs qualitative

A

Quantitative = numbers

Qualitative =description

74
Q

What is the communicative property

A

75
Q

How many square centimeters in a square meter

A

10,000

76
Q

To find the original price

Exp. An object is 40% off and you pay 42\$ how much is the original product price?

A

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

77
Q

42.8 kg is divided into a ratio of 7 : 2 how many kgs is the smaller share

A

Add 2 + 7 together to give the whole

`                  2/9 & 7/9`

42.8 × 2/9 = portion of smaller share

`             Answer: 9.51`
78
Q

A rectangular piece of paper measures 52 by 38 cm.

How many 5 x 5 squares can you get from this paper?

A

70

7 Squares along the 38 side

10 along the 50 side

79
Q

A tank is 12 cm high with a square base. Its sides are 10 cm. What is the volume of the tank?

A

1200cm³

80
Q

When is the FOIL method used in math. Give an example

A

When multiplying Binomials

(12x + 7) (7x -12)

81
Q

1 cc is equivalent to what?

A

1 mL

82
Q

What is a bimodal distribution in a graph?

A

The prefix bi means two, soa graph with two peaksis called bimodal

83
Q

What is this type of graph called
____________
/
/
/
/
/
/

A

Plateau

84
Q

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.

A

True

85
Q

1 square yard equals how many square feet?

A

9 square feet

86
Q

Left tailed skewed is aka positive skewed

Right tailed skewed is aka negative skewed

True or false

A

Both false

Left tailed skewed is negative skewed

Right tailed skewed is positive

87
Q

84.5 dam to mm

A

845,000

88
Q

.56 dL to hl

A

.00056 hL

89
Q

King Henry Died By Drinking Chocolate Milk

A

Metric units

90
Q

1 yd² = how many ft²

A

9

1 yd × 1 yd = 1yd²
3ft × 3ft = 9ft²

91
Q

81 square yards to square feet

A

729

1 yd² = 9ft²

92
Q

1 ft squared = how many inches squared?

A

144 in²

Why?

12in × 12in = 144in²

93
Q

81 square yards to square inches

A

104,976

Why

1 yd² = 9ft²

1ft² = 12in × 12in = 144in²

94
Q

1 cubic yard = how many cubic feet?

A

27³

1yd × 1yd × 1yd = 1yd³

3ft × 3ft × 3ft = 27ft³

95
Q

2 cubic yards to cubic feet?

A

54

1yd × 1yd × 1yd = 1yd³
3ft × 3ft × 3ft= 27ft³

27ft³ × 2 = 54ft³

96
Q

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?

A

2hrs 24 minutes

60 mi × 2 hrs = 120 mi

120 mi ÷ 50 minutes = 2.4 hrs

.4 × 60(mins) = 24 minutes

97
Q

Fahrenheit to Celsius conversion

A

C = (F - 32) × 5/9

98
Q

Fahrenheit from Celsius conversion

A

F = C × 9/5 + 32

99
Q

On a triangle the area for formula is Base × Height ÷ 2 =

But, a triangle has 3 sides which are the base and the Height?

A

Base & Height are Not the hypotinuse (the longest side)

100
Q

A ________ is any positive number that does not include a fractional or decimal part. 0 is also a number in this series

A

Whole number

101
Q

________ 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.

A

Integer

102
Q

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

A

Rational number

103
Q

______ 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

A

Irrational number

104
Q

_________ 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.

A

Real numbers

105
Q

___________ are defined as the square root of the negative numbers where it does not have a definite value.

A

Imaginary numbers

106
Q

**Use this Formula****

Celsius from Fahrenheit

A

5/9 × (F-32)

107
Q

**Use this Formula***

Fahrenheit from Celsius

A

F = 9/5 × C + 32

108
Q

1 FL oz = how many ml?

A

29.57

109
Q

1 liter = how many gallons

A

.2642

110
Q

Formula of a trapezoid

A

H÷2 × (b¹+ b²)

111
Q

Surface area of a cube

A

A = 6 x e²

e= edge

112
Q

Volume of a cube formula

A

V = a³

A= edge

113
Q

Surface area of a cube formula

A

A=6a²

114
Q

Gabby bought a mattress at a sale price of 26\$. The original price was 65\$. What was the discount rate?

A

60%

To find the discount rate find the discount (65-26 = 39) then cross multiply

X/100 39/65

115
Q

A patients heart rate dropped 30% to 63 bpm. What is the original heart rate?

A

90

Consider, Original heart rate is 100%

100% - 30% = 70%

Then, 63 is 70% of what number.

70 63
– —
100 ×

116
Q

-2x > 14

Is X greater or less than -7

A

Less than

When we multiply or divide inequalities by a negative number we switch the direction of the sign

117
Q

C to F formula

A

(C x 1.8) + 32 = F

118
Q

Fahrenheit to Celsius formula

A

(F - 32) x .55 = C

119
Q

9 b
- = -
b 4

A

6

Cross multiply
9 × 4 = b × b
36 = b²
Square Root of 36 = b
6 = b

120
Q

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?

A

Most values Right Side = Negative
Most values Left Side = Positive

121
Q

Area of a Square

A

A = a²

a = 1 side

122
Q

A tank is 12 cm high with a square base. It’s sides are 10 cm wide. What is the volume in cubic centimeters

A

1200

Volume = length × width × height

123
Q

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.

A

First rewrite as units squared

4²cm = 16 cm²
1²km = 1 km²

Set up a Cross multiple

16cm² 60cm²
— = —-
1km² x km²

3.75 km²

124
Q

To convert Oz to Milliliters

A

Multiply Oz by 30

Exp.

48oz × 30= 1440