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Algebra Terms 7

Terms in this set (31)

x-axis
the horizontal number line in a coordinate plane
x-coordinate
the vertical number line in a coordinate plane
y-coordinate
the second number in an ordered pair of numbers that designates the location of a point on the coordinate plane; also called the ordinate
y-intercept
the point at which the graph crosses the y-axis
boundary
a line that separates the coordinate plane into three sets of points-the points on, above, and below the line
collinear
three or more points are collinear if a straight line can be drawn through the given points
coordinate axes
the x- and y-axes in a coordinate plane
coordinate plane
a plane marked with one pair of perpendicular number lines used to graph ordered pairs of numbers
coordinates of a point
the x- and y-coordinates of a point, written as an ordered pair of numbers
graph of an equation with two variables
the line or curve consisting of all points whose coordinates satisfy an equation
graph of an inequality
the graph representing all the numbers in the solution set of a sentence
graph of an ordered pair
the point in a coordinate plane associated with an ordered pair of real numbers
horizontal axis
also x-axis; the horizontal number line in a coordinate plane
if and only if (iff)
a phrase that combines a statement and its converse, as long as both are true; consider the statements "If P, then Q" and "If Q, then P": when you know that both are true, you can write "P if and only if Q" or use mathematical shorthand and write "P iff Q."
inequality
a mathematical sentence formed by placing an inequality sign between two expressions
linear equation
a polynomial equation of degree 1
one-variable equation
an equation that contains only one variable
open half-plane
either of the two regions into which a boundary line separates the coordinate plane
ordered pair of numbers
two numbers, where the first number represents a value on the horizontal axis, and the second number represents a value on the vertical axis, such as (x,y)
origin
the zero point on a number line
parallel lines
lines in the same plane that do not intersect; nonvertical lines that have the same slope
perpendicular lines
two lines that intersect to form right angles
plot a point
locate the graph of an ordered pair of real numbers in a coordinate plane
quadrant
one of the four regions into which the coordinate axes separate the coordinate plane
slope of a line
the steepness of a line, computed as the ratio of the change in the y-coordinates to the change in the x-coordinates when moving from one point on a line to another point on the same line
slope-intercept form of an equation of a line
the equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept
solution
the value of a variable that makes an equation or inequality a true sentence
solution of an equation with two variables
an ordered pair of numbers that make a sentence true
solve an equation
find the set of all solutions of the equation
standard form of a linear equation
Ax + By = C, where A, B, and C are integers and A and B are not both zero.
vertical axis
also y-axis; the vertical number line in a coordinate plane
THIS SET IS OFTEN IN FOLDERS WITH...