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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)

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

parabola

every quadratic function has a U-shaped graph

**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

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)

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)

discriminant

b2-4ac( B squared minus 4ac)

polynomial

(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

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

(2x-3)(x+5)=0

(2x-3)(x+5)=0

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.

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

equations that have the same solution

transformations

add number to both sides

subtract number from both sides

simplify one or both sides

interchange the sides ( x on left number on right)

subtract number from both sides

simplify one or both sides

interchange the sides ( x on left number on right)

direct variation

y=kx

two quantities that vary directly

two quantities that vary directly

proportion

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

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)

(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

hyperbola

an open curve formed by a plane that cuts the base of a right circular cone

center is h and k

center is h and k