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Math Texes 4-8
Vocabulary wordsTeacher Cert
Question | Answer |
---|---|
this is used to determine the zeros (or solutions) are where the parabola crosses the x -axis (x=-b =/- square root b^2 -4ac/ 2a | Quadratic Formula |
determine the distance between two points in a coordinate plane (d= square root (x2-x1)^2 + (y2-y1)^2 | Distance forumula |
locate the midpoint of a line segment (x1+x2), (y1+y2)/2 | Midpoint forumula |
ax+by =c | Standard form of the equation of a line |
y =mx +b | Slope intercept form of the equation of a line |
order pair(h,k) in the equation (x-h)^2+(y-k)2 =r2. the value of h and k will have opposite signs from what they appear to have in the forumula | Vertex of a circle |
segment whose endpoints are the center of a circle and a point on the circle; the distance from the center to any point | Radius of a circle |
equation represents the graph of a parabola and is a second degree equation (ax^2+bx+c =0) | Quadratic equation |
a term with a zero in the denominator | Undefined term |
values separated with plus or minus signs in an expression | Terms |
an equal sign does not exist. a specific value cannot be determined for the variables in the expression | Expression |
statement where two expressions are equal. a specific value can be determined for the variable in the equation. (have an equal sign) | Equation |
positive integers (1,2,3 .....) | Natural numbers |
all natural numbers including 0 (ex: 0, 1, 2, .....) | Whole numbers |
all whole numbers, plus all negative number (ex: -1, 0, 1....) | Integers |
set of points that corresponds to the numbers on the number line including all rational and irrational number. including the disjoint sets of rational and irrational numbers | Real numbers |
set of all numbers formed by the quotient of two integers where the divisor is not 0, any number in this set expressed as a decimal number will be either a terminating or repeating decimal number | Rational numbers |
set of numbers within the real numbers when expressed in decimal form will be nonterminating and non repeating decimal numbers | Irrational numbers |
expressions should not be left with a radical in the denominator | Rationalizing the denominator |
two angles wholes measures add to a total of 90 degrees | Complementary angles |
two angles whose measures add to a total of 180 degrees | Supplementary angles |
three sides of equal length and angles, each angle is 60 degrees | Equilateral triangle |
two sides of equal length and two angles of equal degrees | Isosceles triangle |
right angle thats 90 degrees | Right triangle |
three acute angles that is less than 90 degrees | Acute triangle |
does not have any sides of equal length | Scale triangle |
quadrilateral that has two parallel sides | Trapezoid |
both pair of opposite sides are parallel, also both pairs of opposite sides are equal in length | Parallelogram |
both pairs of opposite sides in this quadrilateral are parallel, also the four sides are equal in length | Rhombus |
made of overlapping circles that is used to show relationships between groups | Venn diagram |
set contains all the elements that are members of both sets A and Set B, it is symbolized by A U B, and associate with the word and | Intersection of sets |
set contains all the elements that are members of set A or set B, this includes the members that are in the intersection of these two sets. it is symbolized by A U B, the word or is associated with it | Union of sets |
disjoint sets do not have any common element | Disjoint sets |
a^2 +b^2=c^2 | Pythagorean Theorem |
four regions of the coordinate plane divided by x and y axis | Quadrants |
number that is natural number greater than one that is divisible by only two numbers: itself and one, this it has two factors | Prime number |
natural number that is not a primes, thus it is divisible by another number other that itself and one, thus it has more than two factors | Composite number |
every composite number can be expressed as unique product of prime numbers | Fundamental Theorem of Arithmetic |
a+b =b +a or ab =ba (swap numbers) | Commutative property of addition and multiplication |
(a+b)+c = a +(b+c) or (ab)c = a(bc) (swap groups) | Associative property of addition and multiplication |
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 | Closure of sets |
all possible outcomes of a given experiment in probability | Sample space |
real number used with the multiplication operation in working with matrices (ex: 3[ 2 3 5] with a product of [6 9 15], 3 would be this term) | Scalar |
f(x) =1/x is the (blank) of x | Reciprocal function |
shortcut method used in dividing a polynomial by a binomial of the form x-k, it can be used to find f(k) | Synthetic divison |
set of equation 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. | System of equations |
point where two line segments meet | Vertices |
contains all the elements appearing in any set used in the given problem, symbol U | Universal set |
vertical line that a graph approaches but never touches or crosses | Vertical asymptote |
horizontal line that a graph approaches as the absolute value of x gets larger without bound, the graph this asymptote when the degree of the numerator is less than the degree of the denominator | Horizontal asymptote |
a non vertical and non horizontal line that the graph approaches as the absolute value of x gets larger without bound, they are formed when the degree of the numerator is larger than the degree of the denominator | Oblique (slant) asymptote |
two events that cannot occur at the same time ( p(a) + p(b) | Mutually exclusive events |
simplified form of writing intervals by using parenthesis and brackets to show whether the endpoints are included | Interval notation |
log base a x, the power to which the base a must be raided to obtain x | Logarithm |
coefficient in front of the term with the greatest degree | Leading coefficient |
complex number a +bi | Imaginary part |
a number of the form a + bi, the a and b are real numbers and i is the square root of -1 | Complex number |
the amount of time it takes for a quantity to decay exponentially to become half of its initial amount | Half life |
method of finding an optimum value such as minimum cost or maximum profit particularly used in application in business and social science | Linear programming |
set having an unending list of distinct elements | Infinite set |
polynomial containing only one term | Monomial |
curve that is the graph of a quadratic function | Parabola |
rectangular coordinate system, the intersection of x axis and y axis, where the ordered pairs (0,0) is located | Origin |
an arrangement, or list, of objects in which order is important (n!/(r-n)! | Permutation |
subset of elements selected from a set, where order does not matter ( n!/r!(n-r)! | Combination |
distance a number is from zero on a number line, always positive | Absolute value |
interpretation of slope that applies to many linear models, the slope of the line gives this term in the y units per change in the x units | Average rate of change |
interval that includes both of its ending points and all the points between these ending points | Closed interval |
interval that includes all the points in between the ending points bud does not include either of its ending points | Open interval |
pair of numbers that give the location of a point on a x and y grid | Ordered pair |
based e logarithm | Natural logarithm |
function that is defined over different parts of the domain by different rules | Piecewise defined function |
set of all points in a plane where the absolute value of the difference of the distances from two fixed points is constant | Hyperbola |
steepness of a line on a graph, equal to its vertical change divided by its horizontal change | Slope |
diagram with branches used to systematically list all the outcomes of a probability or counting situation experiment or factors of a composite number | Tree diagram |
points that lie on the same line | Collinear |
in the exponent a^x, this refers to the a | Base of an exponent |
in the logarithm logax, this refers to the a | Base of a logarithm |
logarithms that use 10 as the base | Common logarithm |
process of adding to a binomial the number that will make it a perfect square trinomial | Completing the square |
sequence where starting with the third term, each term is a sum of the two previous term | Fibonacci sequence |
set of real numbers for which an expression is defined over the independent values of x | Domain |
set of real numbers values of the dependent variable y in a relation | Range |
function that can be written as a polynomial divided by a polynomial | Rational function |
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 | Probability of an event |
graph that shows the degree and direction of relationship between two variables | Scatter diagram |
diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval | Histogram |
form of line graph used in statistics having observed values on the horizontal axis and frequencies on the vertical axis | Frequency polygon |
organizes and groups data for quicker analysis | Stem and leaf display |
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 | Random sampling |
concerns the description of the collection process (sampling procedures), organization, and analysis of the data | Descriptive statistics |
deals with making generalizations and predictions from the data collected | Inferential statistics |