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51 terms

Math SAT

STUDY
PLAY
Percent formula
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.
Multiplying powers
x^3 X x^4 = x^3+4 = x^7 (add the powers)
Dividing 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)
Multiplying Monomials
To multiply monomials, multiply the coefficients and the variables separately: 2a X 3a = (2X3)(aXa) = 6a^2
Multiplying Binomials
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.
Possibilities
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
Direct Variation
a linear function defined by an equation of the form y = kx, where k cannot equal 0
Domain
the set of values of the independent variable for which a function is defined
Range
the set of all output values
Inverse Variation
y varies inversely as x; as increases y decreases; as x decreases y increases; xy=k or y=k/x;
Triangles sides
3:4:5, 5:12:13,
Triangles angles
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
(n/360)(pie r^2
Surface Area
2lw + 2wh + 2lh
Volume
lwh
Volume of Cylinders
pie r^3h
Distance formula
root (x1-x2)^2 + (y1-y2)^2
Midpoint
(x1+x2/2, y1+y2/2)
Slopes
change in y/change in x = rise/run
fractional exponents
x^y/z=z-root(x^y)
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.
inverse variation
xy=k
direct variation
y=kx
average of consecutive numbers
average the smallest & the largest.
converting eights
when converting, remember that 1/8=0.125=12^1/2%.37^1/2%is 3 times ,so it equals 3/8.*
average rates
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
z=third side...Ix-yI<z....x+y>z
negative exponents
1/a^b
slopes
slope=change in y/change in x=rise/run
qualitative behavior
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
distance=root(x2-x1)^2+(y2-y1)^2.
union & intersection of sets
is the set of elements that are in either or both.....set of elements common to both
finding midpoints
x1+x2/2,y1+y2/2*
symbols
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.
parallelograms
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.
pemdas
Parentheses,Exponents,Multiplication/Division(left to right)Addition/Subtraction(left to right)
percent increase
one way is to re- express them with a common denominator.Another way is to convert them both to decimals.