# Math SAT

### 51 terms by aj2018623

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### 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)

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;

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

(n/360)(pie r^2

2lw + 2wh + 2lh

lwh

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.

xy=k

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

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

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.

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.

### percent increase

one way is to re- express them with a common denominator.Another way is to convert them both to decimals.

Example: