25 terms

Algebra Vocab chapter 10 & 11

distributive property
in an equation such as: 3(x+2) the 3 is distributed to each term of the sum (x+2).
3(x+2)=3(x) + 3(2)
like terms
terms in an expression that have the same variable raised to the same power
x intercept
the x coordinate of a point where a graph crosses the x-axis
every quadratic function has a U-shaped graph
quadratic formula
way to solve any quadratic equation
the solutions of the quadratic equation ax2 +bx +c = 0 is x equals the opposite of b, plus or minus the square root of b squared(b2) minus 4ac, all divided by 2a
vertical motion models
object is dropped: h= -16t2 + 2 (H equal negative 16t squared plus 2)
object is thrown: h= -16t2 + vt + S (H equals negative 16t squared + vt +s)
H= height (feet)
S= initial height (feet)
T= time in motion (seconds)
V= initial velocity (feet per second)
b2-4ac( B squared minus 4ac)
(an expression which is the sum of terms of the form axk where k is a non-negative integer)
a mathematical expression that is the sum of a number of terms
written in descending order
FOIL method
a method used to multiply two binomials using the distributive property (multiple the First, Outer, Inner, Last terms
Factored form
written as the product of two or more linear factors
zero product property
if the product of two factors is zero, then at least one of the factors must be zero. Ex: If ab = 0, then a = 0 or b = 0.
factor a quadratic expression
to write it as the product of two linear expressions
factor completely
** 9x2-15=3(3x2 - 5)**
9x square - 15 equal 3(3x square - 5)
A factorable polynomial with integer coefficients is factored completely if it is written as a product of unfactorable polynomials with integer coefficients.
equivalent equations
x+3=5 and x=2 are equal
equations that have the same solution
add number to both sides
subtract number from both sides
simplify one or both sides
interchange the sides ( x on left number on right)
direct variation
two quantities that vary directly
an equation that states that two rations are equal
extraneous solution
a solution that does not satisfy the original equation
inverse variation
the variables x and y vary inversely if for a constant k
xy=k or y=k/x
rational number
an algebraic expression that can be written as two integers
rational expression
an algebraic expression written as a ratio
geometric probability
probability that is established by using geometric properties
(probability that object is tossed into a certain region)
rational equation
an equation containing one or more rational expressions
rational function
function of the form f(x) = polynomial/polynomial
an open curve formed by a plane that cuts the base of a right circular cone
center is h and k