math

(1, 1, 2, 3, 5, 8, 13, .....) is a sequence where starting with the third term, each term is a the sum of the two previous terms.

Fibonacci sequence

The amount of time it takes for a quantity to decay exponentially to become half of its initial amount.

Half-life

has 3 acute angles less than 90 degress

acute triangle

values separated by +or- signs in an expresion

terms

|x| is the distance on the number line from that number to zero. Example: |-3| is three units from 0.

Absolute value

A sequence of equal payments or deposits made at equal periods of time

Annuity

is the x in the expression log x. a

Argument

(a + b) + c = a + ((b + c) Notice in this one the terms will always be in the same order.

Associative property of addition

Associative property of multiplication

Associative property of multiplication

An interpretation of slope that applies to many linear models is an average rate of change. The slope of the line gives the average change in the y-units per change in the x-units.

Average rate of change

is the distance around a circle. is used with closed curves like circles and ellipses, while perimeter is used for polygons and other figures. This distance is equal to Pi times the diameter of the circle. Pi is a number that is approximately 3.14159.

Circumference

Two figures are congruent if they have the same shape and size

Congruent Figures

Descriptive statistics concerns the description of the collection process (sampling procedures), organization, and analysis of the data.

Descriptive Statistics

In the complex number a + bi, b is the imaginary part.

Imaginary part

Inferential statistics deals with making generalizations and predictions from the data collected.

Inferential Statistics

it is possible to fold the figure over a line drawn on its interior in such a way that half of the figure folds exactly onto the other half.

Line of Symmetry

45o - 45o Ratios of the lengths. http://www.simulados.com/Core_Subjects/Flashcards.aspx

Right Triangle

The ratio of the probalility that an event will occur to the probability that it will not occur.

Odds

A percent is a ratio that compares a number to 100. You can write a percent with the percent symbol or as a fraction or decimal. For example, you can write 40% as 40/100 or as .40

Percent

The perimeter of a polygon is the sum of the lengths of all its sides.

Perimeter

a point on the figure itself so that you can rotate the figure about that point and the figure coincides with itself.

Point of Symmetry

A polygon is a closed figure made by joining line segments, where each line segment intersects exactly two others.

Polygon

The chance that an event will occur

Probability

A sampling procedure used in statistical analysis where a sample is drawn in such a way that each time an item is drawn from the population every item in the population has an equal chance of being drawn.

Random Sampling

A polygon that has all sides and all angles equal.

Regular Polygon

The way mathematical information is presented (written, symbolic or graphical).

Representation

It organizes and groups data for quicker analysis. http://www.simulados.com/Core_Subjects/Flashcards.aspx

Stem-and-Leaf Display

A figure that can be folded flat along a line so that the two halves match perfectly

Symmetric Figure

A schedule of fees imposed by a government on imported or exported goods. In the U.S., export tariffs are unconstitutional.

Tariff/Duty

A term that applies to moving geometric figures in such a way that they keep their congruency; three types: slide, flip and rotate.

Transformation

(x-h)^2+(y-k)^2=r^2

equation of a circle

is a quadrilateral that has two parallel sides

trapezoid

a term with 0 in the denominator

undefined term

a technique where set relationships are put in pictorial form

venn diagrams

f(x)=a(x-h)^2+k

vertex form of the equation of a Parabola

is the order pair (h,k) in the equation of the circle (x-h)^2+(y-k)^2=r^2. the values hand k will have opposite signs from what they appear to have in the formula. For example: in the circle (x-3)^2+(y+2)^2=9^2, the vertex is (3,-2). they appear opposite of the circle due to the minus signs in front of the h and k.

vertex of a circle

A vertical asymptote is a vertical line that a graph approaches but never touches or crosses. In a rational function, find the value for x in the denominator that will make the function undefined. it will be x = that value. Example: f (x) = 1 x = 3. ____ x - 3

vertical asymptote

is use to find the midpoint of a line segment m=[x1+x2/2, y1+y2/2]

midpoint formula

both pairs of opposite sides are parallel

parallelagram

y-y1=m(x-x1) this form is used to write the equation of a line given a point and slope

point-slope form of a line

The principle in an investment paying compound interest can be called the

present value

A function that is defined over different parts of the domain by different rules

Piecewise-defined function

is a natural number greater than one that is divisible by only two numbers: itself and one. Thus, it has two factors.

Prime number

The point where two line segments meet.

Vertices(Vertex)

a triangle that has 2 equal sides and angles

isosceles triangle

In the logarithm log x, a is answer and which is the a number that is a repeated factor.

Base of a logarithm

the set of points correspond to the numbers on the number line including all rational and irrational numbers. include the disjoint of rational and irrational numbers

Real Numbers

Given the complex number a + bi, a is the answer

Real part

The function f(x) = 1⁄x is a reciprocal function of x.

Reciprocal Function

A scalar is a real number used with the multiplication operation in working with matrices.Example: In the following example, 3 is the scalar 3 [2 3 5]. The product is [6 9 15].

Scalar

A graph of specific ordered pairs of data is a scatter diagram.

Scatter diagram

The simple interest formula is I = Prt. Interest is paid only on the principle and is not paid on previous earned interest

Simple Interest

(m) of a nonvertial and nonhorizontal line is the ratio of the change in y to the change in x.

Slope

y=mx+b m=the slope of the line b=the y-intercept

Slope-intercept form of the equation of a line

Synthetic division is a shortcut method used in dividing a polynomial by a binomial of the form x - k. It can also be used to find f(k).

Synthetic Division

both pairs of sides in this quadrilateral are parallel. also the four sides are equal in length

Rhombus

The set of all possible outcomes of a given experiment in probability is called a sample space.

Sample space

In the exponent, ax, a is the base which is the number that is a repeated factor.

Base of an exponent

The point where the revenue from selling a product is equal to the cost of producing the product is the break-even point.

Break-even point

An interval that includes both of its ending points and all the points between these ending points

Closed Interval

A set is closed under a given operation if when the operation is performed on any two members; the result gives a member of the same set. Example: The set of natural numbers is closed under the operation of addition or multiplication. The set of natural numbers is not closed under the operation of subtraction (3 - 8) or division (23/22).

Closure of sets

Points are collinear if they lie on the same line.

Collinear

A subset of elements selected from a set is called a combination were order does not matter.

Combination

The base 10 logarithm (log x ) is called the common 10 logarithm.

Common Logarithm

a + b = b + a

Commutative property of addition

a x b = b x a

Commutative property of multiplication

is the process of adding to a binomial the number that will make it a perfect square trinomial.

Completing the square

A number of the form a + bi is a complex number. The a and b are real numbers and i = √-1 .

Complex number

is a natural number that is not a prime number, thus it is divisible by another number other that itself and one. Thus is has more than two factors.

Composite number

do not any common elements

Disjoint set

The domain is the set of real numbers for which an expression is defined over the independent values of x.

Domain

Term used to denote whether two numerical values are the same.

Equality

A form of line graph used in statistics having observed values on the horizontal axis and frequencies on the vertical axis.

Frequency Polygon

Every composite number can be expressed as a unique product of prime numbers.

Fundamental Theorem of Arithmetic

A form of bar graph used in statistics having observed values on the horizontal axis and frequencies on the vertical axis.

Histogram

The set of all points in a plane where the absolute value of the difference of the distances from two fixed points is constant is a hyperbola.

Hyperbola

Interval notation is a simplified form of writing intervals by using parenthesis and brackets to show whether the endpoints are included. The inequality x < 3 written in interval notation is (- ∞,3) whereas the inequality x£ 3 written in interval notation is (- ∞,3].

Interval notation

The leading coefficient of a polynomial is the coefficient in front of the term with the greatest degree. In the polynomial (4x3 + 5x -9), 4 is the leading coefficient.

Leading Coefficient

Linear programming is a method of finding an optimum value such as minimum cost or maximum profit particularly used in application in business and social science.

Linear programming

A logarithm is an exponent log x is the power to which the a base a must be raised to obtain x.

Logarithm

A polynomial containing only one term is a monomial.

Monomial

Two events that cannot occur simultaneously in probability are called mutually exclusive.

Mutually exclusive events

called the set of counting numbers or the positive integers. {1,2,3,4....}

Natural Numbers

A natural logarithm is a base e logarithm.

Natural logarithm

is a nonvertical and nonhorizontal line that the graph approaches as the absolute value of x gets larger without bound. are formed when the degree of the numerator is larger than the degree of the denominator. In the rational function [ f (x) = x2 - 3x + 2 ] _______ x - 4 use synthetic division omitting the remainder to determine the answer(y = x + 1).

Oblique (slant) asymptote

An interval that includes all the points in between the ending points but does not include either of its ending points

Open Interval

consists of two components separated with a comma, written inside parenthesis, where the first element is the x-value and the second element is the y-value ( ).

Ordered pair

In a rectangular coordinate system, the intersection of the x-axis and y-axis and is where the ordered pair (0, 0) is located.

Origin

A curve that is the graph of a quadratic function is a parabola.

Parabola

One of the arrangements of elements r from a set of n elements is a permutation of n elements taken r at a time where order does matter.

Permutation

The probability of an event is the ratio of the number of outcomes in the sample space belonging to the event to (over) the number of outcomes in the sample space is the probability of an event. It follows the same format of part expressed in the numerator and whole expressed in the denominator.

Probability of an event

a^2 + b^2 = c^2 The a and b represent the legs of a right triangle and c represents the hypotenuse. The theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

Pythagorean theorem

are the four regions of the coordinate plane divided by the x- and y-axis.

Quadrants

is used to determine the zeros (solutions) to a quadratic equation. The zeroes are where the parabola crosses the x-axis. -b+-the square root of b^2-4ac over 2a

Quadratic formula

is the square root of the r^2 value in the equation (x-h)^2+(y-k)^2=r^2. for example: (x-3)^2+(y+2)^2=17 r= to the square root of 17

Radius of a circle

The range is the set of real numbers values of the dependent variable y in a relation.

Range

A function of form f (x) = p(x) , ____ q(x) where both p(x) and q(x) are polynomials and q(x) is not equal to zero is a rational function.

Rational function

the set of equations that are considered at the same time. If there are two unknown variables, a system of two equations is required to find both of these values. If there are three unknown variables, a system of three equations is required to find these three values and etc.

System of equations

A diagram with branches used to systematically list all the outcomes of a probability or counting situation experiment or factors of a composite number is called a tree diagram.

Tree diagram

the set contains all the elements that are member of set A or set B. this includes the members that are in the intersection of these two sets. union is symbolized by A E B. the word or is associated with union

Union sets

set (U) contains all the elements appearing in any set used in the given problem. Used in labeling with the Venn diagram, the rectangle is the universal set.

Universal Set

the complement A' of a set are the elements in the universal set, but no in the original seT A

complement Set

two angle whose measures add to a total of 90 degrrees

complementary angles

is used to determine the distance between two points in the coordinate plane d(A,B)=the square root of (x2,x1)^2 +(y2,y1)^2

distance formula

a statement where two expressions are equal. A specific value(s) can be determined for the variable

equation

a triangle that has 3 equal sides and all angle = 60 degrees

equilateral triangle

the result of adding,subtracting, multiplying, dividing (except by zero) on any combination of variables or constants as well as raising to powers and taking roots. An equal sign does not exist. A specific value cannot be determined for the variables

expression

is the horizontal line that a graph approaches as the absolute value of x gets larger without bound. Different from the vertical asymptote, the graph may cross a horizontal asymptote. are formed in two ways from a rational function. When the degree of the numerator is less than the degree of the denominator [ f (x) = x - 4 ], y will always equal 0 (y = 0). ______ x2 + 3x +9 When the degree of the numerator and the denominator are the same [ f (x) = x + 4 ], y will always equal to ____ 2x - 3 the ratio of the leading coefficients [ y = 1 ]. __ 2

horizontal asymptote

A set having an unending list of distinct elements

infinite set

the negative numbers are added to the whole numbers {....-3,-2,-1,0,1,2,3....}

integers

the set contains all the elements that are members of both set A and B. intersection is symbolized by A C B. the word and is associated with intersection

intersection of Sets

the set of numbers with in the real numbers when expressed in decimal form will be non terminating and non-repeating numbers. {-square root of 3,2,5 and pi)

irrational numbers

an equation that represents the graph of a parabola and is a second-degree equation (ax^2 + bx + c= 0)

quadratic equation

the set of all numbers formed by the quotient of two integers where the divisor is not 0. Any number in this set when expressed as a decimal number will either a terminating or repeating decimal number.

rational numbers

expression should be left with radical in thee denominator. is the process of simplifying the radical expression and eliminating the radical in the denominator.

rationalizing the denominator

a triangle where all the side are different lengths

scalene triangle

Ax+By+C

standard form of the equation of a line

f(x)=ax+bx+c where a^1 0

standard form of the equation of a parabola

two angle that add to a total of 180 degrees

supplementary angles

the zero is added to the Natural (counting) numbers {0,1,3,4,5....}

whole numbers