# SAT MATH

integer

All whole numbers (both positive and negative) and zero.

sum

product

multiply

difference

subtraction

quotient

division

remainder

Amount left over after dividing a number

divisor

A number by which another number is divided.

factor

the resolution of an integer or polynomial into factors such that when multiplied together they give the integer or polynomial

prime number

A whole number that has exactly two factors, 1 and itself.

multiple of an integer

the product of that integer and another integer

even number

A whole number divisible by 2

odd number

Odd numbers can NOT be divided evenly into groups of two

exponent

A mathematical notation indicating the number of times a quantity is multiplied by itself.

laws of exponents

Rules that describe relationships between exponents for certain operations.

negative exponent

an exponent less than zero which causes the base and its exponent to move positions in a fraction

fractional exponent

Exponents can be fractions too. When a number or term is raised to a fractional power, it is called taking the root of that number or term

square root of a number

A number that when multiplied by itself, equals the given number.

properties of square roots

multiplication of the roots

if the product of two or more numbers is 0, what do you know about the numbers?

one of the numbers is 0

distributive property

a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac

properties of 0

integer, not negative, not positive, even number

properties of 1

Multiplying a number by 1 gives it that number

percent

A ratio that compares a number to 100

how do you find a percent of a number?

convert percent to a decimal and then multiply times the value

how do you calculate percent increase and percent decrease?

Total liabilities divided by total assets???

ratio

A comparison of two quantities by division (X/Y or X:Y-- numerator associate with word "to" and denominator "of

proportion

A statement of equality of two or more ratios.

directly proportional

A term used to describe the relationship between two variables whose graph is a straight line passing through the point (0,0).

inversely proportional

A term used to describe the relationship between two variables whose product is constant.

average

the total sum of numbers ÷ the amount of numbers

weight averaged

total weight ÷ amount of people weighed

median

Middle Number

mode

Most frequently occurring number

straight angle

An angle that is 180 degrees

sum of all of the angles around a point

should equal 180???

what is true about the measures of the four angles formed by two intersecting lines?

the sum is 360 degrees??

parallel lines

lines in the same plane that never intersect

alternate interior angles

Angles that lie within a pair of lines and on opposite side of a transversal.

alternate exterior angles

Angles that lay outside the parallel lines and are on opposite sides of the transversal; They are congruent.

corresponding angles

Angles formed by a transversal cutting through 2 or more lines that are in the same relative position.

same side interior angles

two interior angles on the same side of the transversal

measures of the 3 angles in a triangle

measures of the 2 acute angles in a right triangle

how do you find the area of a shaded region?

length X width

how do you solve distance problems

D= √(x₁-x₂)²+(y₁+y₂)²

how do you find the distance between 2 points?

c² = a² + b²

counting principal

uses multiplication to find the number of possible ways two of more events can occur

what is the relationship between the lengths of the sides of a triangle and the measures of the angles of the triangle?

????

exterior angle of a triangle

An angle that forms a linear pair with an angle of the triangle

Pythagorean theorem

a²+b²=c²

properties of a 45-45-90 triangle

0

properties of a 30-60-90 triangle

0

triangle inequality theorem

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

formula for the area of a triangle

A=πr²

special formula for the area of a triangle

a= 1/2 bh

similar triangles (and their properties)

Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional

what is true about the altitudes, medians, angle bisectors, and perimeters of similar triangles?

???

what is true about the areas of similar triangles?

A correlation coefficient shows the relationship between two sets of numbers.

sum of the measures of the n angles in a polygon with n sides

??

exterior angle of a polygon

an angle formed by a side and an extension of an adjacent side

sum of the measures of the exterior angles in a polygon

(number of sides - 2) * 180?

properties of a parallelogram

opposite angles are congruent

properties of a rectangle

all properties of a parallelogram, all angles are right, diagonals are congruent

properties of a square

The measure of each angle is 90

formulas for the area of a parallelogram, rectangle, and a square

length x width

what is pi?

3.14

formula for the circumference of a circle

C = 2πr

how do you find the length of an arc of a circle?

0

how do you find the area of a sector of a circle

0

what is the relationship between a radius of a circle and a line that is tangent to the circle?

A tangent line is always perpendicular to the radius

formula for the volume of a rectangular solid and a cube

V=side³

the formula for the surface area of a rectangular solid and a cube

frequency x wavelength = wave speed

formula for the volume of a cylinder

V=1/3BH

how do you find the x-intercepts and the y-intercepts of a graph?

Substitute them for zero

midpoint formula

(X1 + X2)/2 and (Y1 + Y2)/2

distance formula

d = √[( x₂ - x₁)² + (y₂ - y₁)²]

slope of a line

y=mx+b

what is true about the slopes of parallel lines?

The line of reflection is the perpendicular bisector of segments

what is true about the slopes of perpendicular lines?

A correlation coefficient shows the relationship between two sets of numbers.

equation of a line

y=mx+b

how do you find the probability that an event will occur?

what is the probability of an event that cannot occur?

P value?

what is the probability of an event that must occur?

?

venn diagram

A diagram that uses circles to display elements of different sets. Overlapping circles show common elements.

function

A prewritten formula that makes it easy to perform common calculations

what is the graph of a function?

a constant, straight line, unit cost is the same

if you are given the graph y=f(x), what does f(a) represent

that represents the y value when x is equal to a

what are the relationships between the graphs of y=f(x) and the graphs of y=f(x), y=f(x)-a, y=f(x+a), y=f(x-a)

it moves the graph up and down and left and right

for what values of a function is the function undefined

For the GRE, when a denominator will equal 0 or when a negative will appear under a square root.

what proportion do you use to solve percent problems?

x/100

order of operations

PEMDAS

greatest common factor

The largest factor that two or more numbers have in common.

least common factor

the smallest number that two or more numbers will divide into evenly.

arithmetic sequence

a sequence in which each term is found by adding the same number to the previous term

geometric sequence

a sequence in which each term is found by multiplying the previous term by the same number

range

Distance between highest and lowest scores in a set of data.

mean

Average

vertical angles

A pair of opposite congruent angles formed by intersecting lines

equation of a circle

(x-h)²+(y-k)²=r²

sine of an angle

The ratio of the length of the side opposite the angle to the length of the hypotenuse.

cosine of an angle

tangent of an angle

The ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

system of equations

A set of equations with the same variables.

slope formula

(y₂- y₁) / (x₂- x₁)