Math Knowledge Flashcards
Part =
Whole x percent
Cuboid volume
Lwh
Pyramid surface
B + 1/3 pl
Interior angle of a polygon formula
(N-2)/2 x 180
Original amount =
Amount of change / percent change
Operation if elements can be regrouped without changing the result
Associative
-3 + (5-3)
1 gallon equals how many liters
3.785
Area of a triangle
1/2 bh
1 miles equals how many kilometers
1.61
Standard form equation
Ax + By = C
In order to graph equation change to slope intercept
To find x intercept make y=0
To find y intercept make x= 0
Cone surface
PiR^2 + piRL
Slope formula
M = (y2-y1)/(x2-x1)
Complex numbers are closed under
All operations
How do you find the interior angle of a polygon?
(N-2)180*/n
Pyramid volume
1/3 bh
Polygon sum of angles
= (n-2) 180*
Ao =
1
18% as a fraction
18/100 = 9/50
Axis of symmetry
Vertical line that cuts parabola in half
Surface are of cube
6s^2
Volume of a cylinder
Bh or piR^2h
The sum of two irrational numbers is irrational true or false
False
Irrational numbers are closed under
No operations
Order does not matter when performing an operation is what property
Commutative
Area of triangle
1/2 bh
Convert 7 ya squared to feet squared
7 yd square (3ft/1yd) (3ft/1yd) = 63 ft squared
A map is drawn such that 2.5 inches equals 40 miles. If the distance measured on the map between two cities is 17.25 inches what is the actual distance between the cities
- 5/40 = 17.25/x
- 5x = 690
X= 276
Area of a circle
Pi r^2
Circumference of a circle
2 pie R
Am / An =
A m-n
A proportion is an equation which states the two ratios are equal.
A/b = c/d
=
Ad = bc
Smile
The sum of a rational and irrational number is irrational true or false
True because a rational numbers have decimal parts that are unending and with no pattern adding a repeating or terminating decimal will still result in an unending decimal without a pattern
The distance formula for a line that terminated between two points
D= sqr root of (x2-x1)^2 + (y2-y1)^2
Resembles the Pythagorean theorem
Surface are of a sphere
4piR^2
Volume of a cube
S^3
A factory knows that four out of 1000 parts made will be defective. If in a month there are 125,000 parts made how many will be defective
4/1000 = x/125,000
1000x = 500,000
X= 500
Amount of change =
Original amount times percentage change
Whole =
Part / percent
1 yard equals how many meters
.914
Volume of rectangle
Lwh
The commutative property applies to all real numbers and all operations true or false
False It does not work for subtraction or division on real numbers
Real numbers are closed under which operations
All
Prism volume
Bh
Percent =
Part / whole
A-n =
1/An
1°F equals
9/5C + 32 degrees C
Interior angles of quadrilateral equal
360 degrees
Midpoint formula
M = (x1+x2/2 , y1+y2/2)
Standard form
Y= ax^2 +bx + c
Rational numbers are closed except
Division.
Lateral area of a cone
Pi R L
Area of polygon =
AP/2
4.25 kilometers converted to meters
4.25 x (1000m/1km) = 4250 m
1 cal equals how many joules
4.19
Volume of a sphere
4/3 piR^3
Apothem
Shortest perpendicular distance from polygons center to a side. Needed to find area.
Am x An =
Amn
The associative property applies for multiplication in the real numbers true or false
True order of multiplication does not change the result
Vertex formula
(-(b/2a) , f(-b/2a))
A TV that originally cost $1500 is on sale for 45% off. What is the sale price for the item
Original amount equals $1500
Percent change equals .45
1500 x .45 = 675
1500 - 675 = $825
Write .125 as a fraction
.125/1 x 10/10 x 10/10 x 10/10 = 125/1000 = 1/8
1 inch equals how many centimeters
2.54
Tera Giga 1,000,000,000 Mega 1,000,000 Kilo 1000 Hecto 100 Deca 10
Deci .1
Centi .01
Milli.001
Number that can be represented by a point on a line. Includes rational and irrational numbers
Real number
3/5 as percent
60%
Area of a parallelogram
LH
1 ounce equals how many grams
28.35
Slope intercept form
Y=mx+b
Vertex form
Y=a(x-h)^2+k
Vertex (h,k)
Axis of symmetry = h
Includes positive and negative natural numbers
Integers
Area of quadrilateral equals
Bh
1 pound equals how many kilograms
.454
1.125 as percent
112.5 %
Prism SA
2lw + 2wh +2lh
8m squared to mm squared
8m squared x (1000mm/ 1m) (1000mm/1m) = 8,000,000 mm squared
Surface of a cylinder
Two pi R squared +2 pi RH
Greater than zero and has no decimal or fraction
Natural number
Cone volume
1/3bh
Axis of symmetry
X = -(b/2a)
Area of a rhombus or kite
1/2 ab
A and B perpendicular lines crating triangles
Percent change
Amount of change / original amount
Natural numbers are closed under subtraction?
False
