Algebra vocab Flashcards

Terms Definitions
ordered pair
another name for zero
set of ordered pairs
transitive property
when 3 things are equal
to subtract one value from another
General Linear Form of the Line
" 5x " is a ..
algebraic expression
an arrangement of objects in which order IS NOT important.
complex fraction
fraction or fractions within a fraction
inverse function
obtained by expressing the dependent variable of function as the independent variable of another
common logarithm
logarithm base ten of a number
compound inequality
two or more inequalities taken together
rectangular array of numbers that can be written using brackets or parentheses
If the numerator is equal or greater than the denominator, these are called _____ fractions.
system of equations
two or more equations containing common variable
form of reasoning in which one thing is inferred to be similar to another thing
minor axis
axis of an ellipse that is perpendicular to the major axis
ratio of
comparative value of two or more numbers
greatest common factor
largest integer that divides evenly into each of a given set of numbers
The form of a line called point-slope form is_______and is used when you are given either___ _____on a line or the___slope and one____on the line.
y-y=mx(x-x)/2 points/slope/point
set of y values of a function or relation
total of
sum or whole amount, the result of adding, total
cramer's rule
method for solving a linear system of equations using determinants
result of writing sum of two terms as a difference or vice versa
quadratic formula
formula for the roots of a quadratic equation
axis of symmetry
a straight line for which every point on a given curve has corresponding to it another point such that the line connecting the two points is bisected by the given line.
multiplied by
number is added to itself a number of times
axis of symmetry of a parabola
line passing through the focus and vertex of a parabola
divided by
quantity that can change
mathematics of working with variables
a relatively simple expression that determines some of the properties, as the nature of the roots, of a given equation or function.
linear inequality
inequality involving a linear function
reflexive property of equality
for any number a.a=a
a particular or indefinite amount of anything:
coordinate axis
reference line on a coordinate plane
inverse variation
relationship between two variables in which the product is a constant
decreased by, the indication of a minus symbol, not as many as
list of numbers set apart by commas
radical expression
expression in which radical signs appear
venn diagrams
figures used to represent sets of numbers
dependent variable
A variable in a functional relation whose value is determined by the values assumed by other variables in the relation, as y in the relation y 3x2.
set of all real numbers between two given numbers
open interval
interval that does not contain its endpoints
consecutive integers
numbers that follow each other in order from smallest to largest
synthetic division
procedure for dividing a polynomial by a linear polynomial
Change the ÷ to x and write the reciprocal of the 2nd fraction.
solution set
any and all values of the variables that satisfy an equation or system of inequalities
absolute value
numerical value of a real number, no matter if positive or negative
sum total of two or more quantities or sums, aggregate
exponent of the power to which a base number must be raised to equal a given number
comparison property
for any two numbers a and b, exactly one of the following sentences is truea<b a=b a>b
added to
to join a number to another number or total
decreased by
to get smaller in size or number by a specific amount
Ratio of a to b
Fraction a/b when a & b are in the same units of measurement.
What is X in this equation?
to write (a mathematical expression) so as to show the products of its factors.
the quantity under a radical sign.
y axis
(in a plane Cartesian coordinate system) the axis, usually vertical, along which the ordinate is measured and from which the abscissa is measured.
a quantity having a value intermediate between the values of other quantities; an average, esp. the arithmetic mean.
a plane curve formed by the intersection of a right circular cone with a plane parallel to a generator of the cone; the set of points in a plane that are equidistant from a fixed line and a fixed point in the same plane or in a parallel plane. Equation: y
any complete round or series of occurrences that repeats or is repeated.
complex conjugate
either of two conjugate points, lines, etc.
composite function
a function obtained from two given functions, where the range of one function is contained in the domain of the second function, by assigning to an element in the domain of the first function that element in the range of the second function whose inverse
an algebraic expression of the sum of products of elements, each with an appropriate algebraic sign, usually written in a square array and used in the solution of systems of linear equations.
standard deviation
a measure of dispersion in a frequency distribution, equal to the square root of the mean of the squares of the deviations from the arithmetic mean of the distribution.
the set of points in a plane whose distances to two fixed points in the plane have a constant difference; a curve consisting of two distinct and similar branches, formed by the intersection of a plane with a right circular cone when the plane makes a grea
(in a right triangle) the ratio of the side adjacent to a given angle to the hypotenuse.
major axis
the axis of an ellipse that passes through the two foci.
additive inverse
the number in the set of real numbers that when added to a given number will yield zero:
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