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Algebra Terms
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Gravity
Terms in this set (76)
slope
the ratio of the vertical rise to the horizontal run between any two points on a line
y-intercept
the y- coordinate of a point where a graph cross the y-axis
slope-intercept form
a linear equation written in the form y=mx+b. The slope of the line is m. The y-intercept is b.
point-slope form
an equation of a non vertical line in the form y-y=m(x-x) where the line passes through a given point (x,y) and the line has a slope of m.
standard form
a linear equation of the form Ax+By=C,were A and B are not both zero
integer
the whole counting numbers, such as -3,-2,-1,0,1,2, 3
coefficient
if a term of an expression consists of a number multiplied by one or more variables the number is the coefficient of the term
linear model
a linear equation or function that is used to model a real-life situation
rate of change
the quotient of two different quantities that are changing (ex: speed as miles/hour; gas used as miles/gallon)
perpendicular
if two lines intersect to form right (90 dree) angles (90 degree angles)
equivalent equations
equations that have the same solution
inverse operations
two operations that undo each other, such as addition and subtraction; or multiplication and division.
linear equation
an equation in which the variable appers only to the first power
reciprocal
to solve an equation with a fractional coefficient
properties of equality
the rule of algebra used to transform equations into equivalent equations
like terms
terms that have the same variables
identity
is an equation that is true for all values of the variable
variable term
a letter used to represent a range of numbers
coefficient
if a term of an expression consists of a number multiplied by one or more variables, the number is the coefficient of the variable term(s)
inverse operation
two operations that undo each other such as addition and subtraction
distributive property
for any real numbers a,b and c, a(b+c)=ab+ac; and a(b-c)=ab-ac
rounding error
an error caused by using a rounded solution
formula
an algebraic equation that relates two or more variables
ratio
the relationship of two quantities a and b; written a:b or a/b and read "a to b" "a of b", or "a out of b"
rate
the relationship a per b or a/b for two quantities a and b
unit rate
a rate expressing the amount of one quantity per unit of another quantity
unit analysis
using the units for each variable in a real life problem to determine the units for the answer
coordinate plane
The coordinate system formed by two real number lines that intersect at a right angle.
origin
The point in a coordinate plane where the horizontal axis intersects the vertical axis.
x-axis
The horizontal axis in a coordinate plane.
y-axis
The vertical axis in a coordinate plane.
ordered pair
A pair of numbers used to identify a point in a coordinate plane.
x-coordinate
The first number in an ordered pair.
y-coordinate
The second number in an ordered pair.
quadrant
One of four regions into which the axes divide a coordinate plane.
scatter plot
A coordinate graph containing points that represent a set of ordered points; used to analyze relationships between two real-life quantities.
linear equation
an equation that can be written in the form of Ax+By=C
solution of an equation
an ordered pair (x,y) that make the equation true
function form
a two-variable equation with one variable isolated on one side of the equation; ex: y=2x+5
graph of an equation
the set of all points (x,y) that is a solution of the equation
horizontal line
a line that is flat and parallel to the ground; in Ax+By=C, A=0, so By=C
vertical line
a line from top to bottom; in Ax+By=C, B=0, so Ax=C
coordinate plane
the coordinate system formed by two real number lines that intersect at a right angle
x-coordinate
The first number in an ordered pair
y-coordinate
The second number in an ordered pair
constant function
a function of the form y = b, or x=b, where b is a number
domain
the collection of all input values of a function
range
the collection of all output values of a function
x-intercept
the x-coordinate of a point where a graph crosses the x-axis
y-intercept
the y-coordinate of a point where a graph crosses the y-axis
x-axis
the horizontal axis in a coordinate plane
y-axis
the vertical axis on a coordinate plane
rise
the vertical change
run
the horizontal change
slope
the ratio of the rise (vertical change) to the run (horizontal change) between any two points on the line
direct variation
the relationship between two variables x and y for which there is a nonzero number k such that y=kx or k=y/x
constant of variation
the constant k in a variation model; k=y/x in the case of direct variation; and k=xy in the case of inverse variation
origin
the point in a coordinate plane where the horizontal x-axis intersects the vertical y-axis
slope - intercept form
a linear equation written in the form y=mx+b
parallel lines
two different lines in the same plane that do not intersect
relation
any set of ordered pairs
function
a rule that established a relationship between two quantities: the input and the output
vertical line test
a graph is a function if no vertical line intersects the graph at more than one point
function notation
a way to describe a function by means of an equation
linear function
a function of the form f(x)=mx+b
variable
A letter used to represent a range of numbers.
variable expression
A symbolic form made up of constants, variables, and operations.
numerical expression
An expression that represents a particular number.
power
An expression of the form a to the b or the value of such an expression.
exponent
In exponential notation, the number of times the base is used as a factor.
variable
A letter used to represent a range of numbers.
variable expression
A symbolic form made up of constants, variables, and operations.
numerical expression
An expression that represents a particular number.
Graph Of An Inequality
In one varibale is the set of points on a number line that represent all solutions of the inequality.
Equivalent Inequalities
Have the same solutions. Adding or subtracting the same number to or from each side of the inequality in one variable creates an inequality.
Addition property of inequality
If a>b then a+c>b+c
If a <b then a-c<b-c
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