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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 |