Part = Percent X Whole
Counting the Possibilities
m ways one even can happen and n ways a second event happen, so there are m X n ways.
x^3 X x^4 = x^3+4 = x^7 (add the powers)
y^13/y^8 = y^13-8 = y^5 (Subtract the powers
Raising Power to Power
(x^3)^4 = x^3X4 = x^12 (Multiply the powers)
Adding and Subtracting Monomials
To combine like terms, keep the variable part unchanged while adding or subtracting the coefficients: 2a + 3a = (2+3)a = 5a (add the coefficients)
To multiply monomials, multiply the coefficients and the variables separately: 2a X 3a = (2X3)(aXa) = 6a^2
product is found by FOIL (First Outer Inner Last)
Multiplying other Polynomials
product is found by multiplying each term in the first polynomial by each term in the second.
mCn= m!/n! (m-n)!----!=4X3X2X1...etc
Factoring Squares of Binomials
(a+b)^2 = a^2+2ab+b^2--------(a-b)^2 = a^2-2ab+b^2
a linear function defined by an equation of the form y = kx, where k cannot equal 0
the set of values of the independent variable for which a function is defined
the set of all output values
y varies inversely as x; as increases y decreases; as x decreases y increases; xy=k or y=k/x;
30-60-9=x-x root 3-2x
Interior Angles of Polygons
(n-2)(180)-----n=# of sides
Length of Arcs
(n/360)(2 pie r)----n=angle measure
Area of sectors
2lw + 2wh + 2lh
Volume of Cylinders
root (x1-x2)^2 + (y1-y2)^2
change in y/change in x = rise/run
domain & range
the domain of a function is the set of values for which the function is defined. The range of a function is the set of outputs or results of the function.
average of consecutive numbers
average the smallest & the largest.
when converting, remember that 1/8=0.125=12^1/2%.37^1/2%is 3 times ,so it equals 3/8.*
avg. Aper B=total A/total B........avg. speed=total distance/total time.
sum of exterior angles
the 3 exterior angles of any triangle add up to 360 degree.*
triangle inequality theorem
slope=change in y/change in x=rise/run
some quations will ask you to identify parts of the graph of a function. They may ask for the value of the function, or, as here, the maximum or minimum valuies of the function....q(x)is represented by the y- value.
distance between points
union & intersection of sets
is the set of elements that are in either or both.....set of elements common to both
is plug in the given values of
powers of negatives
a negative number raised to an even power yields a positive result.A negative number raised to an odd power yields a negative result.
powers of fractions
raising a fraction between 0 & 1 to a power yields a number smaller than the original.
exterior angles of triangles
An exterior angle of a triangle is equal to the sum of the remote interior angles.
a parallelogram has 2 pairs of parallel sides.opposite sides are equal. opposite angles are equal.consecutive angles add up to 180 degree.
addiong & subtracting polynomials
combine loke terms
factoring products of binomials
Foil,first,Last,Outer & Inner
parallel lines & transversals
A transversal across parallel lines forms 4 equal acute angles & 4 equal obtus angles.
Parentheses,Exponents,Multiplication/Division(left to right)Addition/Subtraction(left to right)
one way is to re- express them with a common denominator.Another way is to convert them both to decimals.