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Math
Algebra
Algebra 2 Final Exam Definitions
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Gravity
Terms in this set (58)
absolute value
the distance from zero on the number line
coefficient
a number attached to a variable by multiplication
evaluate
substitute a number for the variable and simplify
extraneous solution
a false solution
integer
a positive or negative whole number
dependent variable
the y value in a function because its value depends on what you pick for x
domain
the inputs (x values) in a relation
function
a relation in which every x value has only one value of y
independent variable
the x value in a function because you can pick anything for x
intercept
where a line crosses an axis
negative slope
a line going downhill from left to right has this type of slope
parallel
these lines have slopes that are the same
perpendicular
these lines have slopes that are negative reciprocals of each other
positive slope
a line going uphill from left to right has this type of slope
range
the outputs (y values) in a relation
slope
the steepness of a line
translation
shifts a graph horizontally or vertically without changing shape or orientation
undefined
a vertical line has this slope
zero slope
a horizontal line has this slope
distributive property
the property used to simplify 7(2x+3)
elimination
one method used to solve a system of equations in which you create opposite coefficients of one of the variables
linear equation
an equation whose graph is a line
many solutions
when the lines in a system of equations intersect at every point
no solution
when the lines in a system of equations are parallel
one solution
when the lines in a system of equations intersect at only one point
substitution
a method used to solve a system of equations in which you isolate a variable and substitute its value into the other equation
system of equations
two or more linear equations that share a solution set
variable
a letter that represents an unknown number
down
when a < 0 in a quadratic function, the parabola opens this way
h
in the vertex form of a quadratic equation, this letter represents the x coordinate of the vertex
c
this letter represents the y intercept in a quadratic function
parabola
a curve which is the graph of a quadratic function
maximum
the point at which a parabola stops going up and starts going down
y=ax(squared) + bx + c
the standard form of a quadratic equation
y=a(x-h)(squared)+k
the vertex form of a quadratic equation
up
when a > 0 in a quadratic function, the parabola opens this way
k
in the vertex form of a quadratic equation, this letter represents the y coordinate of the vertex
minimum
the point at which a parabola stops going down and starts going up
imaginary
the square root of a negative number is this type of number
zero
if there is one x intercept, then the discriminant is this
complex number
a number that has a real part with an imaginary part added to or subtracted from it
negative
if there are no x intercepts, then the discriminant is this
complex conjugates
numbers of the form a + bi and a - bi
i
the square root of negative one
positive
if there are 2 x intercepts, then the discriminant is this
x=
the quadratic formula
i(squared)
-1
b(squared)-4ac
discriminant
standard form
the equation is in order from the highest exponent to the lowest
degree
the highest exponent of an equation
one less
the maximum number of turning points in a graph is this compared to the degree of the equation
greatest common factor
always try to factor this out first when solving polynomial equations using factoring
x intercepts
the real solutions to a polynomial equation represent this in its graph
divisor
the part you divide by in long division
dividend
the part you divide into in long division
quotient
the answer in long division
one
the degree of the divisor must be this to use synthetic division
remainder
the last column's sum in synthetic division represents this
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