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42 Cards in this Set

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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
5-Step 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
3-4-5 triangle
30-60-90 triangle
5-12-13 triangle
45-45-90 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= (n-2) 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
.