Algebra 3 Flashcards

Terms Definitions
fewer than
subtraction
grouping symbols
exponents and roots
term
an algebraic expression involving letters and/or numbers (called factors), multiplied together.
statistics
methods of collecting, organizing and interpreting data
inequality
statement that two quantities are unequal
graph
to draw, or plot the points named
trinomial
polynomial with three terms which are not like
origin
represented by two zeros separated by a comma on a coordinate plane
together
indicating addition, or the joining of two or more amounts
coordinate axis
reference line on a coordinate plane
integer
one of the positive or negative numbers or zero
focus
special point used to construct and define a conic section
radical expression
expression in which radical signs appear
direct variation
relationship between two variables in which one is a constant multiple of the other
The form of a line called Standard for is________and must not have any_____and A must be_____.
Ax+By=C/fractions/positive
domain
set of all possible values of an independent variable in a function
open interval
interval that does not contain its endpoints
asymptote lines
graph of a relation which approaches more closely the further the graph is followed
hyperbola
conic section that can be thought of as an inside out ellipse
multiplicative inverse property
for every nonzero number a/b, where a,b does not = 0, there is exactly one number b/a, such that a/b x b/a =1
arithmetic sequence
a sequence in which each term after the first is found by adding a constant, the common difference D, to the previous term.
least common multiple
smallest number that is the multiple of two or more other numbers
identify the variables
act of determining the unknown values in an equation
extraneous solution
solution of a simplified version of an equation that does not satisfy the original equation
Properties of an equality
Transformations used to isolate the variable in an equation.
step function
a function whose graph is a series of line segments.
Slope Form
m= y minus y divided by x minus x
multiplicative identity property
for any number a, a x 1 = 1 x a
x+9-2=3+2x-1
x+9-2=3+2x-1x-x+9-2=3+2x-x-19-2-3=3-3+x-14+1=x-1+15=x
9x7
63
8x6
48
scalar
a quantity possessing only magnitude.
What is X in this equation?
9+(16/4)+6-(10*10)=x
coterminal
having a common boundary; bordering; contiguous.
matrix
a rectangular array of numbers, algebraic symbols, or mathematical functions, esp. when such arrays are added and multiplied according to certain rules.
coefficient
a number or quantity placed (generally) before and multiplying another quantity, as 3 in the expression 3x.
algebra
the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations.
series
a sequence of terms combined by addition, as 1 + ½ + ¼ + ⅛ + … ½ n.
linear equation
a first-order equation involving two variables: its graph is a straight line in the Cartesian coordinate system.
cramer's rule
a method involving the determinant of the coefficients, for calculating a unique solution for a given system of linear equations.
conditional probability
the probability that an event will occur under the condition that another event occurs first: equal to the probability that both will occur divided by the probability that the first will occur.
directrix
a fixed line used in the description of a curve or surface.
period
the duration of one complete cycle of a wave or oscillation; the reciprocal of the frequency.
slope
the tangent of the angle between a given straight line and the x-axis of a system of Cartesian coordinates.
probability distribution
a distribution of all possible values of a random variable together with an indication of their probabilities.
sine
(in a right triangle) the ratio of the side opposite a given acute angle to the hypotenuse.
secant
(in a right triangle) the ratio of the hypotenuse to the side adjacent to a given angle.
periodic function
a function of a real or complex variable that is periodic.
cotangent
(in a right triangle) the ratio of the side adjacent to a given angle to the side opposite.
ellipse
a plane curve such that the sums of the distances of each point in its periphery from two fixed points, the foci, are equal. It is a conic section formed by the intersection of a right circular cone by a plane that cuts the axis and the surface of the con
geometric series
a sequence of terms in which the ratio between any two successive terms is the same, as the progression 1, 3, 9, 27, 81 or 144, 12, 1,
logarithmic function
a function defined by y = logbx, esp. when the base, b, is equal to e, the base of natural logarithms.
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