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42 Cards in this Set
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 Back
PEMDAS

Parentheses,exponents,multiplication,division,addition,subtraction


Median & Mode

Median: value that falls in the middle
Mode: value that appears most often. 

Possibilities

If there are M ways one event can happen and N ways a second event can happen then there are MxN ways for the 2 events to happen.


Average rate formula

average A per B= Total A/Total B


Average speed

total distance/total time


average

sum of terms/number of terms


Probability

Favorable outcomes/total possible outcomes


Percent formula

part=percent x whole or
percent= part/whole 

Multiplying powers

to multiply powers with the same base, add the exponents and keep the same base.


Dividing powers

To divide powers with the same base, subtracet the exponents and keep the same base.


Raising powers to powers

to raise a power to a power, multiply the exponents


Functions:
Direct and Inverse Variation 
In direct variation, y=kx, where k is a nonzero constant.
In inverse variation, xy=k, where k is a constant 

Function:
Domain and Range 
The domain of a function is the set of values for which the function is defined.


Absolute value

The absolute value of a number is the distance of the number from zero on the number line.


Multiplying binomials Foil

To multiply binomials use FOIL
First, outer, inner, last 

Solving an inequality

when you multiply or divide both sides by a negative number, you must reverse the sign.


Using two points to find the slope

slope=change in y/changen in x
or Rise/Run 

Slope intercept

y=mx+b


Midpoint

if the endpoints are (x1,y1) and (x2,y2), the midpoint is:


Intersecting lines

when two lines intersect, adjacent angles are supplementary and vertical angles are equal


5Step method for Quantitative Comparisons

Step 1: Compare piece by piece
Step 2: Make one column look like the other Step 3: Do the same thing to both columns Step 4: Pick numbers Step 5: Redraw the diagram 

Geometry
Interior and Exterior angles of a triangle 
The 3 angles of any triangle add up to 180 degrees.
The 3 exterior angles of any triangle add up to 360 degrees. 

Area of a Triangle

1/2 (base)(height)


Pythagorean Theorem

For all right triangles:


Special right triangles

345 triangle
306090 triangle 51213 triangle 454590 triangle 

Area of a rectangle

length x width


Area of a Parallelogram

base x height


Lenght of an arc

if N is the degree measure of the arc's central angle, then the formula is:


Area of a sector

If N is the degree measure of the sector's central angle, then the formula is:


Interior angles of a polygon

The sum of the measures of the interior angles of a polygon= (n2) x 180, where N is the number of sides


Surface area of a rectangle (solid)

2lw + 2wh + 2lh


Volume of a rectangular solid

Volume of a rectangular solid=lwh
Volume of a cube= 

Factoring the difference of squares

.


Factoring the square of a binomial

.


Quadratic Equation

.


Finding the distance between two points

.


Area of a circle

.


Area of a square

.


Circumference of a circle

.


Wolume of a Cylinder

.


Negative exponent

.


Rational Exponent

.
